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Andrej explains stuff extremely well. Made me realize how much more I need to learn when he tells us to get our hands dirty and prove something simple looking. I hear his exams are hard too.\",\"course_id\":\"MATH 522\",\"date\":\"2015-09-19 11:36:22 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"b450684198212514b80734ed\",\"instructor_id\":\"rmp:537392\",\"instructor_name\":\"Andrej Zlatos\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI1MTk4MDg3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/537392\"},{\"comment\":\"He explains idea clearly. However, this does not mean that his class is easy. In fact, his math522 relies heavily on algebra tricks and skills, and you also need high maturity in coming up with various ways( or even tricks) to prove some very abstract theorem in homework. What is even worse is that he is not willing to help.\",\"course_id\":\"MATH 522\",\"date\":\"2016-01-28 03:18:58 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"34554508ce1e2d44ce7db18a\",\"instructor_id\":\"rmp:537392\",\"instructor_name\":\"Andrej Zlatos\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTI2MDAzMzAx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/537392\"}],\"evidence_count\":2,\"review_ids\":[\"b450684198212514b80734ed\",\"34554508ce1e2d44ce7db18a\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:537392\",\"name\":\"Andrej Zlatos\"}],\"review_year_end\":\"2016\",\"review_year_start\":\"2015\"},\"sentiment\":\"mixed\",\"subject_instructor_id\":\"rmp:537392\",\"summary\":\"Cited reviews describe Andrej Zlatos as clear in explaining ideas but note the course relies heavily on algebra tricks and skills for abstract proofs.\"},{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"Analysis II is a tough subject, but Tran does a good job of presenting his topics in a clear manner. He sticks to the textbook, but he proves theorems in a slightly different way from Rudin, which is interesting and helpful. His exams are fair and he can be funny (don't expect many hints in office hours though). Overall would recommend.\",\"course_id\":\"MATH 522\",\"date\":\"2017-05-09 15:01:46 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"1f48a40f540862ed30446aba\",\"instructor_id\":\"rmp:2230918\",\"instructor_name\":\"Hung Tran\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI4MjYwOTEz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\"},{\"comment\":\"Obviously this isn't an easy class but Hung Tran does a good job of making the most theoretical subject tangible. The lectures can get dense and almost impossible to understand but he really drives home the points that end up being tested.\",\"course_id\":\"MATH 522\",\"date\":\"2017-02-25 13:49:59 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"2206b9212bceacfa93d5a589\",\"instructor_id\":\"rmp:2230918\",\"instructor_name\":\"Hung Tran\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI3ODU2NTkz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\"}],\"evidence_count\":2,\"review_ids\":[\"1f48a40f540862ed30446aba\",\"2206b9212bceacfa93d5a589\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:2230918\",\"name\":\"Hung Tran\"}],\"review_year_end\":\"2017\",\"review_year_start\":\"2017\"},\"sentiment\":\"positive\",\"subject_instructor_id\":\"rmp:2230918\",\"summary\":\"Cited reviews praise Hung Tran for presenting topics clearly and making theoretical subjects tangible, though lectures can be dense.\"},{\"aspect\":\"workload\",\"evidence\":[{\"comment\":\"Seeger is very nice to all his students and tries his best to help everyone who asks. Hmwk was a mix of Rudin problems and his own problems, which were harder.  No matter who you take this course with the material is tough - but Seeger does a great job giving insight. One of the best people to take this course from - if you want to major in math.\",\"course_id\":\"MATH 522\",\"date\":\"2013-12-08 03:09:58 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"219527944d4d2f303fb78595\",\"instructor_id\":\"rmp:394755\",\"instructor_name\":\"Andreas Seeger\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIyNDY2Njkz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/394755\"},{\"comment\":\"He explains idea clearly. However, this does not mean that his class is easy. In fact, his math522 relies heavily on algebra tricks and skills, and you also need high maturity in coming up with various ways( or even tricks) to prove some very abstract theorem in homework. What is even worse is that he is not willing to help.\",\"course_id\":\"MATH 522\",\"date\":\"2016-01-28 03:18:58 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"34554508ce1e2d44ce7db18a\",\"instructor_id\":\"rmp:537392\",\"instructor_name\":\"Andrej Zlatos\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTI2MDAzMzAx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/537392\"}],\"evidence_count\":2,\"review_ids\":[\"219527944d4d2f303fb78595\",\"34554508ce1e2d44ce7db18a\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:394755\",\"name\":\"Andreas Seeger\"},{\"id\":\"rmp:537392\",\"name\":\"Andrej Zlatos\"}],\"review_year_end\":\"2016\",\"review_year_start\":\"2013\"},\"sentiment\":\"neutral\",\"subject_instructor_id\":null,\"summary\":\"Multiple reviewers indicate the material is tough and homework sets are challenging, requiring high maturity in proving abstract theorems.\"},{\"aspect\":\"assessment\",\"evidence\":[{\"comment\":\"Prof. Stovall does a great job explaining abstract concepts conceptually, as long as you ask her if you are confused.  Sometimes it might be easy to just write things down and read later, but ask while you can so that you aren't struggling later.  Tests are extremely tough, but fair, and HW the same.  Study the proofs and HW and you'll do fine.\",\"course_id\":\"MATH 522\",\"date\":\"2016-12-05 15:05:08 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"807b1328bcc5cb6d69617e3b\",\"instructor_id\":\"rmp:1786920\",\"instructor_name\":\"Betsy (Lindsay) Stovall\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI3MzM2Njk1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1786920\"},{\"comment\":\"Analysis II is a tough subject, but Tran does a good job of presenting his topics in a clear manner. He sticks to the textbook, but he proves theorems in a slightly different way from Rudin, which is interesting and helpful. His exams are fair and he can be funny (don't expect many hints in office hours though). Overall would recommend.\",\"course_id\":\"MATH 522\",\"date\":\"2017-05-09 15:01:46 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"1f48a40f540862ed30446aba\",\"instructor_id\":\"rmp:2230918\",\"instructor_name\":\"Hung Tran\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI4MjYwOTEz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\"}],\"evidence_count\":2,\"review_ids\":[\"807b1328bcc5cb6d69617e3b\",\"1f48a40f540862ed30446aba\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1786920\",\"name\":\"Betsy (Lindsay) Stovall\"},{\"id\":\"rmp:2230918\",\"name\":\"Hung Tran\"}],\"review_year_end\":\"2017\",\"review_year_start\":\"2016\"},\"sentiment\":\"positive\",\"subject_instructor_id\":null,\"summary\":\"Cited reviews state that exams are fair, though they may be extremely tough and require studying proofs and homework closely.\"},{\"aspect\":\"organization\",\"evidence\":[{\"comment\":\"He's not very good at this whole teaching thing. Tries to cram way too much into lectures in a very disorganized way. If you like watching someone frantically writing proofs on a barely visible chalkboard with no explanation of where things are headed, only to realize halfway through he made a mistake, here's your guy.\",\"course_id\":\"MATH 522\",\"date\":\"2017-12-16 19:41:15 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"51d9ad20c3a380bbffb8e41e\",\"instructor_id\":\"rmp:2281992\",\"instructor_name\":\"Joris Roos\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTI5MjM4NDY0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2281992\"},{\"comment\":\"Terrible, terrible professor. Lectures are very dense and he goes really fast with the material. Homework is 5 problems every week, and only two of the problems are graded, so good luck! Only gives out homework sketches, so you never really get a full answer. Doesn't use the book at all, he has his own lecture notes.\",\"course_id\":\"MATH 522\",\"date\":\"2018-12-13 23:49:33 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"dca75d14fe71bd10bedc9abf\",\"instructor_id\":\"rmp:2281992\",\"instructor_name\":\"Joris Roos\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTMxMDE1NTI3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2281992\"}],\"evidence_count\":2,\"review_ids\":[\"51d9ad20c3a380bbffb8e41e\",\"dca75d14fe71bd10bedc9abf\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:2281992\",\"name\":\"Joris Roos\"}],\"review_year_end\":\"2018\",\"review_year_start\":\"2017\"},\"sentiment\":\"negative\",\"subject_instructor_id\":\"rmp:2281992\",\"summary\":\"Cited reviews criticize Joris Roos for disorganized lectures, cramming too much material, and providing only homework sketches rather than full answers.\"},{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"Even though he is relatively new to teaching and being a professor, he was amazing at explaining theorems using diagrams to explain them. I can't state how important his drawings were when it came to learning the content. If you are a visual learner, you should certainly take him. HW's were 2 questions a week with extra credit HW every other week\",\"course_id\":\"MATH 522\",\"date\":\"2025-12-25 12:10:05 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"6590199a37bfe43585102a11\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQyMzk2NjAz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"},{\"comment\":\"Lars is an AMAZING guy.\\n(1) Only two mandatory hwk problems week. \\n(2) Hwks can be REALLY hard or really easy\\n(3) Extra credit on hwk and tests (easy A)\\n(4) He is very passionate\\n(5) He takes his time on proofs and explains all of the steps. It can make lectures boring. \\nHe is a good professor now. In few years, he will be an amazing professor. \",\"course_id\":\"MATH 522\",\"date\":\"2025-12-18 05:59:04 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"30824ffa2863bef2d5a1522d\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQyMzI1NzY4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"}],\"evidence_count\":2,\"review_ids\":[\"6590199a37bfe43585102a11\",\"30824ffa2863bef2d5a1522d\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:3063233\",\"name\":\"Lars Niedorf\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2025\"},\"sentiment\":\"positive\",\"subject_instructor_id\":\"rmp:3063233\",\"summary\":\"Cited reviews praise Lars Niedorf for explaining theorems using diagrams and taking time on proofs, which helps visual learners.\"}]}","candidate_json":null,"error":null,"model":"Qwen/Qwen3.8-27B","model_revision":"1d4bf0f2ff6012fd82039f2fa52739d0dd7c60c0","selected_for_release":true},{"run_id":"20261014T203208-0851c9a1","observed_at":"2026-10-14 17:50:09.728220+00:00","course_uid":"course_0dd25611eebe714d971b7bfb","course_id":"MATH 522","catalog_version_id":"c461f1adf43d70631349d85cccd203af1528c745777460b820d460793c0bfec0","record_version_id":"172da86c47b1eba6e8d0f82e189615701555ad880074bc5813f12900120f6b9c","job_id":"enrich-251ff195eff23ce9a03fdb42","output_id":"c4b0e223197d6efaa5b38fa06c8a5a8c2d5b65d958bd9ca276dd7aecb0ab9f66","section":"student_summary","status":"valid","value_json":"{\"context_hash\":\"1fbb27c09ead240062a8093ce04b840b7bd021faf905cdc48ae682d72d844434\",\"course_id\":\"MATH 522\",\"current_instructors\":[{\"instructor_uid\":\"instructor_761e0a77717658997d77afcd\",\"message\":\"No course-specific reviews available\",\"name\":\"Ben Johnsrude\",\"review_status\":\"no_course_reviews\",\"rmp_instructor_id\":\"rmp:3116884\",\"summary\":[]}],\"difficulty_workload\":[{\"citations\":[{\"instructor_name\":\"Betsy (Lindsay) Stovall\",\"review_date\":\"2016-12-05 15:05:08 +0000 UTC\",\"review_id\":\"807b1328bcc5cb6d69617e3b\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_instructor_id\":\"rmp:1786920\",\"source_review_id\":\"UmF0aW5nLTI3MzM2Njk1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1786920\",\"type\":\"review\"}],\"evidence_scope\":\"past_student_reviews\",\"text\":\"One student reported that tests were extremely tough but fair, and homework was similarly challenging, recommending that students study the proofs and homework closely to succeed.\"}],\"errors\":[],\"historical_context\":[],\"message\":null,\"offered\":true,\"profile_hash\":\"3f5110430805ccdd533c0c072df62d68a8a5f5441c4530bbdb15d419a199a09c\",\"quick_take\":[{\"citations\":[{\"instructor_name\":\"Hung Tran\",\"review_date\":\"2017-05-09 15:01:46 +0000 UTC\",\"review_id\":\"1f48a40f540862ed30446aba\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_instructor_id\":\"rmp:2230918\",\"source_review_id\":\"UmF0aW5nLTI4MjYwOTEz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\",\"type\":\"review\"},{\"instructor_name\":\"Joris Roos\",\"review_date\":\"2019-01-07 05:00:53 +0000 UTC\",\"review_id\":\"54d69fa13530b7805c54d378\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_instructor_id\":\"rmp:2281992\",\"source_review_id\":\"UmF0aW5nLTMxMjEyODI0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2281992\",\"type\":\"review\"}],\"evidence_scope\":\"past_student_reviews\",\"text\":\"Students found this advanced analysis course tough but rewarding, noting that clear lecture notes and straightforward exams based on important theorems helped them learn significantly.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1254\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1264\",\"type\":\"grade\"}],\"text\":\"Recent recorded grades — Spring 2025: 3.09 GPA, 54.1% A/AB (n=37 letter grades); Fall 2025: 3.78 GPA, 87.9% A/AB (n=58 letter grades); Spring 2026: 3.30 GPA, 50.0% A/AB (n=22 letter grades).\"}],\"student_experience\":[{\"citations\":[{\"instructor_name\":\"Trevor Leslie\",\"review_date\":\"2020-05-03 21:24:42 +0000 UTC\",\"review_id\":\"424bda782f05f471a70c02ce\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_instructor_id\":\"rmp:2470499\",\"source_review_id\":\"UmF0aW5nLTMzMTkwNzgw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2470499\",\"type\":\"review\"}],\"evidence_scope\":\"past_student_reviews\",\"text\":\"A past student found the instructor supportive because he provided study guides before every exam and specified exactly which topics would appear on the tests.\"}],\"task_hash\":\"9dea82ef7f2113a5605c1c6030c4f9b19967eb742cc93a78268fb92357d29f5c\",\"teaching_history\":[{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1112\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1142\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1164\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":3,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1212\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":3,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1222\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1224\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1234\",\"type\":\"grade\"}],\"text\":\"ANDREAS SEEGER is recorded teaching in Fall 2010, Fall 2013, Spring 2016, Fall 2020, Fall 2021, Spring 2022, Spring 2023. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1132\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1162\",\"type\":\"grade\"}],\"text\":\"ANDREJ ZLATOS is recorded teaching in Fall 2012, Fall 2015. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1094\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1114\",\"type\":\"grade\"}],\"text\":\"GLORIA MARI-BEFFA is recorded teaching in Spring 2009, Spring 2011. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1174\",\"type\":\"grade\"}],\"text\":\"HUNG TRAN is recorded teaching in Spring 2017. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1152\",\"type\":\"grade\"}],\"text\":\"JENNIFER BEICHMAN is recorded teaching in Fall 2014. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1182\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1184\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1192\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1192\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1202\",\"type\":\"grade\"}],\"text\":\"JORIS ROOS is recorded teaching in Fall 2017, Spring 2018, Fall 2018, Fall 2019. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"}],\"text\":\"LARS NIEDORF is recorded teaching in Fall 2025. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1074\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1232\",\"type\":\"grade\"}],\"text\":\"MIKHAIL FELDMAN is recorded teaching in Spring 2007, Fall 2022. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1244\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1252\",\"type\":\"grade\"}],\"text\":\"SARAH TAMMEN is recorded teaching in Spring 2024, Fall 2024. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1204\",\"type\":\"grade\"}],\"text\":\"TREVOR LESLIE is recorded teaching in Spring 2020. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1104\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1154\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1202\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1264\",\"type\":\"grade\"}],\"text\":\"XIANGHONG GONG is recorded teaching in Spring 2010, Spring 2015, Fall 2019, Spring 2026. Recorded history may be incomplete and does not establish a future schedule.\"}],\"term_id\":\"1274\",\"term_name\":\"2027 Sprng\",\"version\":3}","candidate_json":null,"error":null,"model":"Qwen/Qwen3.8-27B","model_revision":"1d4bf0f2ff6012fd82039f2fa52739d0dd7c60c0","selected_for_release":true},{"run_id":"20261014T203208-0851c9a1","observed_at":"2026-10-14 17:50:09.728220+00:00","course_uid":"course_0dd25611eebe714d971b7bfb","course_id":"MATH 522","catalog_version_id":"c461f1adf43d70631349d85cccd203af1528c745777460b820d460793c0bfec0","record_version_id":"172da86c47b1eba6e8d0f82e189615701555ad880074bc5813f12900120f6b9c","job_id":"enrich-49752a259f17fab0f49665b3","output_id":"4bd271c9a98833b0319087c212eac046c4b4bb17876287255effade6c5d5058e","section":"requirements","status":"needs_review","value_json":"{\"nodes\":[{\"children\":[\"c521\",\"alt_any\"],\"condition\":null,\"course\":null,\"evidence\":\"MATH 521and (MATH 320,340,341,345, or375), graduate/professional standing, or declared 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522\",\"field\":\"official_learning_outcomes\",\"outcome_index\":5,\"quote\":\"Convey arguments in oral and written forms using English and appropriate mathematical terminology, notation and grammar.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"label\":\"writing\"}],\"assumed_background\":[],\"search_phrases\":[\"Advanced real analysis\",\"Fourier series\",\"Metric spaces\",\"Compactness characterizations\",\"Normed spaces calculus\",\"Implicit function theorem\"],\"skills_taught\":[{\"evidence\":[{\"course_id\":\"MATH 522\",\"field\":\"description\",\"quote\":\"Special functions, power series, Fourier series, approximation, contraction principle, characterizations of compactness in metric spaces, applications to differential equations. Differential calculus in normed spaces, including implicit and inverse function theorems.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Analysis of special functions, power series, Fourier series, and approximation theory; application of the contraction principle; characterization of compactness in metric spaces; solving differential equations; differential calculus in norm\"},{\"evidence\":[{\"course_id\":\"MATH 522\",\"field\":\"official_learning_outcomes\",\"outcome_index\":4,\"quote\":\"Prove or disprove statements related to the above definitions, properties, and theorems using techniques of mathematical argument (direct methods, indirect methods, constructing examples and counterexamples, etc.).\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Constructing mathematical proofs and counterexamples using direct and indirect methods to analyze advanced real analysis concepts.\"}],\"summary\":{\"evidence\":[{\"course_id\":\"MATH 522\",\"field\":\"title\",\"quote\":\"ANALYSIS II\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"},{\"course_id\":\"MATH 522\",\"field\":\"description\",\"quote\":\"Special functions, power series, Fourier series, approximation, contraction principle, characterizations of compactness in metric spaces, applications to differential equations. Differential calculus in normed spaces, including implicit and inverse function theorems.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Analysis II covers special functions, power series, Fourier series, and approximation. It includes the contraction principle, compactness in metric spaces, and differential calculus in normed spaces with implicit and inverse function theore\"},\"topics\":[{\"evidence\":[{\"course_id\":\"MATH 522\",\"field\":\"description\",\"quote\":\"Special functions, power series, Fourier series, approximation, contraction principle, characterizations of compactness in metric spaces, applications to differential equations.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Special functions, power series, Fourier series, approximation, contraction principle, and compactness in metric spaces.\"},{\"evidence\":[{\"course_id\":\"MATH 522\",\"field\":\"description\",\"quote\":\"Differential calculus in normed spaces, including implicit and inverse function theorems.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Differential calculus in normed spaces, including implicit and inverse function theorems.\"}]}","candidate_json":null,"error":null,"model":"Qwen/Qwen3.8-27B","model_revision":"1d4bf0f2ff6012fd82039f2fa52739d0dd7c60c0","selected_for_release":true},{"run_id":"20261014T203208-0851c9a1","observed_at":"2026-10-14 17:50:09.728220+00:00","course_uid":"course_0dd25611eebe714d971b7bfb","course_id":"MATH 522","catalog_version_id":"c461f1adf43d70631349d85cccd203af1528c745777460b820d460793c0bfec0","record_version_id":"172da86c47b1eba6e8d0f82e189615701555ad880074bc5813f12900120f6b9c","job_id":"enrich-49752a259f17fab0f49665b3","output_id":"4bd271c9a98833b0319087c212eac046c4b4bb17876287255effade6c5d5058e","section":"student_experience","status":"valid","value_json":"{\"status\":\"supported\",\"themes\":[{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"Only 3 weeks into it and probably the best math class I've had. Andrej explains stuff extremely well. Made me realize how much more I need to learn when he tells us to get our hands dirty and prove something simple looking. I hear his exams are hard too.\",\"course_id\":\"MATH 522\",\"date\":\"2015-09-19 11:36:22 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"b450684198212514b80734ed\",\"instructor_id\":\"rmp:537392\",\"instructor_name\":\"Andrej Zlatos\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI1MTk4MDg3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/537392\"},{\"comment\":\"He explains idea clearly. However, this does not mean that his class is easy. In fact, his math522 relies heavily on algebra tricks and skills, and you also need high maturity in coming up with various ways( or even tricks) to prove some very abstract theorem in homework. What is even worse is that he is not willing to help.\",\"course_id\":\"MATH 522\",\"date\":\"2016-01-28 03:18:58 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"34554508ce1e2d44ce7db18a\",\"instructor_id\":\"rmp:537392\",\"instructor_name\":\"Andrej Zlatos\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTI2MDAzMzAx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/537392\"}],\"evidence_count\":2,\"review_ids\":[\"b450684198212514b80734ed\",\"34554508ce1e2d44ce7db18a\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:537392\",\"name\":\"Andrej Zlatos\"}],\"review_year_end\":\"2016\",\"review_year_start\":\"2015\"},\"sentiment\":\"mixed\",\"subject_instructor_id\":\"rmp:537392\",\"summary\":\"Cited reviews describe Andrej Zlatos as clear in explaining ideas but note the course relies heavily on algebra tricks and skills for abstract proofs.\"},{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"Analysis II is a tough subject, but Tran does a good job of presenting his topics in a clear manner. He sticks to the textbook, but he proves theorems in a slightly different way from Rudin, which is interesting and helpful. His exams are fair and he can be funny (don't expect many hints in office hours though). Overall would recommend.\",\"course_id\":\"MATH 522\",\"date\":\"2017-05-09 15:01:46 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"1f48a40f540862ed30446aba\",\"instructor_id\":\"rmp:2230918\",\"instructor_name\":\"Hung Tran\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI4MjYwOTEz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\"},{\"comment\":\"Obviously this isn't an easy class but Hung Tran does a good job of making the most theoretical subject tangible. The lectures can get dense and almost impossible to understand but he really drives home the points that end up being tested.\",\"course_id\":\"MATH 522\",\"date\":\"2017-02-25 13:49:59 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"2206b9212bceacfa93d5a589\",\"instructor_id\":\"rmp:2230918\",\"instructor_name\":\"Hung Tran\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI3ODU2NTkz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\"}],\"evidence_count\":2,\"review_ids\":[\"1f48a40f540862ed30446aba\",\"2206b9212bceacfa93d5a589\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:2230918\",\"name\":\"Hung Tran\"}],\"review_year_end\":\"2017\",\"review_year_start\":\"2017\"},\"sentiment\":\"positive\",\"subject_instructor_id\":\"rmp:2230918\",\"summary\":\"Cited reviews praise Hung Tran for presenting topics clearly and making theoretical subjects tangible, though lectures can be dense.\"},{\"aspect\":\"workload\",\"evidence\":[{\"comment\":\"Seeger is very nice to all his students and tries his best to help everyone who asks. Hmwk was a mix of Rudin problems and his own problems, which were harder.  No matter who you take this course with the material is tough - but Seeger does a great job giving insight. One of the best people to take this course from - if you want to major in math.\",\"course_id\":\"MATH 522\",\"date\":\"2013-12-08 03:09:58 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"219527944d4d2f303fb78595\",\"instructor_id\":\"rmp:394755\",\"instructor_name\":\"Andreas Seeger\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIyNDY2Njkz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/394755\"},{\"comment\":\"He explains idea clearly. However, this does not mean that his class is easy. In fact, his math522 relies heavily on algebra tricks and skills, and you also need high maturity in coming up with various ways( or even tricks) to prove some very abstract theorem in homework. What is even worse is that he is not willing to help.\",\"course_id\":\"MATH 522\",\"date\":\"2016-01-28 03:18:58 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"34554508ce1e2d44ce7db18a\",\"instructor_id\":\"rmp:537392\",\"instructor_name\":\"Andrej Zlatos\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTI2MDAzMzAx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/537392\"}],\"evidence_count\":2,\"review_ids\":[\"219527944d4d2f303fb78595\",\"34554508ce1e2d44ce7db18a\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:394755\",\"name\":\"Andreas Seeger\"},{\"id\":\"rmp:537392\",\"name\":\"Andrej Zlatos\"}],\"review_year_end\":\"2016\",\"review_year_start\":\"2013\"},\"sentiment\":\"neutral\",\"subject_instructor_id\":null,\"summary\":\"Multiple reviewers indicate the material is tough and homework sets are challenging, requiring high maturity in proving abstract theorems.\"},{\"aspect\":\"assessment\",\"evidence\":[{\"comment\":\"Prof. Stovall does a great job explaining abstract concepts conceptually, as long as you ask her if you are confused.  Sometimes it might be easy to just write things down and read later, but ask while you can so that you aren't struggling later.  Tests are extremely tough, but fair, and HW the same.  Study the proofs and HW and you'll do fine.\",\"course_id\":\"MATH 522\",\"date\":\"2016-12-05 15:05:08 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"807b1328bcc5cb6d69617e3b\",\"instructor_id\":\"rmp:1786920\",\"instructor_name\":\"Betsy (Lindsay) Stovall\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI3MzM2Njk1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1786920\"},{\"comment\":\"Analysis II is a tough subject, but Tran does a good job of presenting his topics in a clear manner. He sticks to the textbook, but he proves theorems in a slightly different way from Rudin, which is interesting and helpful. His exams are fair and he can be funny (don't expect many hints in office hours though). Overall would recommend.\",\"course_id\":\"MATH 522\",\"date\":\"2017-05-09 15:01:46 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"1f48a40f540862ed30446aba\",\"instructor_id\":\"rmp:2230918\",\"instructor_name\":\"Hung Tran\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI4MjYwOTEz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\"}],\"evidence_count\":2,\"review_ids\":[\"807b1328bcc5cb6d69617e3b\",\"1f48a40f540862ed30446aba\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1786920\",\"name\":\"Betsy (Lindsay) Stovall\"},{\"id\":\"rmp:2230918\",\"name\":\"Hung Tran\"}],\"review_year_end\":\"2017\",\"review_year_start\":\"2016\"},\"sentiment\":\"positive\",\"subject_instructor_id\":null,\"summary\":\"Cited reviews state that exams are fair, though they may be extremely tough and require studying proofs and homework closely.\"},{\"aspect\":\"organization\",\"evidence\":[{\"comment\":\"He's not very good at this whole teaching thing. Tries to cram way too much into lectures in a very disorganized way. If you like watching someone frantically writing proofs on a barely visible chalkboard with no explanation of where things are headed, only to realize halfway through he made a mistake, here's your guy.\",\"course_id\":\"MATH 522\",\"date\":\"2017-12-16 19:41:15 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"51d9ad20c3a380bbffb8e41e\",\"instructor_id\":\"rmp:2281992\",\"instructor_name\":\"Joris Roos\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTI5MjM4NDY0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2281992\"},{\"comment\":\"Terrible, terrible professor. Lectures are very dense and he goes really fast with the material. Homework is 5 problems every week, and only two of the problems are graded, so good luck! Only gives out homework sketches, so you never really get a full answer. Doesn't use the book at all, he has his own lecture notes.\",\"course_id\":\"MATH 522\",\"date\":\"2018-12-13 23:49:33 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"dca75d14fe71bd10bedc9abf\",\"instructor_id\":\"rmp:2281992\",\"instructor_name\":\"Joris Roos\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTMxMDE1NTI3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2281992\"}],\"evidence_count\":2,\"review_ids\":[\"51d9ad20c3a380bbffb8e41e\",\"dca75d14fe71bd10bedc9abf\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:2281992\",\"name\":\"Joris Roos\"}],\"review_year_end\":\"2018\",\"review_year_start\":\"2017\"},\"sentiment\":\"negative\",\"subject_instructor_id\":\"rmp:2281992\",\"summary\":\"Cited reviews criticize Joris Roos for disorganized lectures, cramming too much material, and providing only homework sketches rather than full answers.\"},{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"Even though he is relatively new to teaching and being a professor, he was amazing at explaining theorems using diagrams to explain them. I can't state how important his drawings were when it came to learning the content. If you are a visual learner, you should certainly take him. HW's were 2 questions a week with extra credit HW every other week\",\"course_id\":\"MATH 522\",\"date\":\"2025-12-25 12:10:05 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"6590199a37bfe43585102a11\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQyMzk2NjAz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"},{\"comment\":\"Lars is an AMAZING guy.\\n(1) Only two mandatory hwk problems week. \\n(2) Hwks can be REALLY hard or really easy\\n(3) Extra credit on hwk and tests (easy A)\\n(4) He is very passionate\\n(5) He takes his time on proofs and explains all of the steps. It can make lectures boring. \\nHe is a good professor now. In few years, he will be an amazing professor. \",\"course_id\":\"MATH 522\",\"date\":\"2025-12-18 05:59:04 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"30824ffa2863bef2d5a1522d\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQyMzI1NzY4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"}],\"evidence_count\":2,\"review_ids\":[\"6590199a37bfe43585102a11\",\"30824ffa2863bef2d5a1522d\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:3063233\",\"name\":\"Lars Niedorf\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2025\"},\"sentiment\":\"positive\",\"subject_instructor_id\":\"rmp:3063233\",\"summary\":\"Cited reviews praise Lars Niedorf for explaining theorems using diagrams and taking time on proofs, which helps visual learners.\"}]}","candidate_json":null,"error":null,"model":"Qwen/Qwen3.8-27B","model_revision":"1d4bf0f2ff6012fd82039f2fa52739d0dd7c60c0","selected_for_release":true},{"run_id":"20261014T203208-0851c9a1","observed_at":"2026-10-14 17:50:09.728220+00:00","course_uid":"course_0dd25611eebe714d971b7bfb","course_id":"MATH 522","catalog_version_id":"c461f1adf43d70631349d85cccd203af1528c745777460b820d460793c0bfec0","record_version_id":"172da86c47b1eba6e8d0f82e189615701555ad880074bc5813f12900120f6b9c","job_id":"enrich-49752a259f17fab0f49665b3","output_id":"4bd271c9a98833b0319087c212eac046c4b4bb17876287255effade6c5d5058e","section":"student_summary","status":"valid","value_json":"{\"context_hash\":\"1fbb27c09ead240062a8093ce04b840b7bd021faf905cdc48ae682d72d844434\",\"course_id\":\"MATH 522\",\"current_instructors\":[{\"instructor_uid\":\"instructor_761e0a77717658997d77afcd\",\"message\":\"No course-specific reviews available\",\"name\":\"Ben Johnsrude\",\"review_status\":\"no_course_reviews\",\"rmp_instructor_id\":\"rmp:3116884\",\"summary\":[]}],\"difficulty_workload\":[{\"citations\":[{\"instructor_name\":\"Betsy (Lindsay) Stovall\",\"review_date\":\"2016-12-05 15:05:08 +0000 UTC\",\"review_id\":\"807b1328bcc5cb6d69617e3b\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_instructor_id\":\"rmp:1786920\",\"source_review_id\":\"UmF0aW5nLTI3MzM2Njk1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1786920\",\"type\":\"review\"}],\"evidence_scope\":\"past_student_reviews\",\"text\":\"One student reported that tests were extremely tough but fair, and homework was similarly challenging, recommending that students study the proofs and homework closely to succeed.\"}],\"errors\":[],\"historical_context\":[],\"message\":null,\"offered\":true,\"profile_hash\":\"3f5110430805ccdd533c0c072df62d68a8a5f5441c4530bbdb15d419a199a09c\",\"quick_take\":[{\"citations\":[{\"instructor_name\":\"Hung Tran\",\"review_date\":\"2017-05-09 15:01:46 +0000 UTC\",\"review_id\":\"1f48a40f540862ed30446aba\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_instructor_id\":\"rmp:2230918\",\"source_review_id\":\"UmF0aW5nLTI4MjYwOTEz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\",\"type\":\"review\"},{\"instructor_name\":\"Joris Roos\",\"review_date\":\"2019-01-07 05:00:53 +0000 UTC\",\"review_id\":\"54d69fa13530b7805c54d378\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_instructor_id\":\"rmp:2281992\",\"source_review_id\":\"UmF0aW5nLTMxMjEyODI0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2281992\",\"type\":\"review\"}],\"evidence_scope\":\"past_student_reviews\",\"text\":\"Students found this advanced analysis course tough but rewarding, noting that clear lecture notes and straightforward exams based on important theorems helped them learn significantly.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1254\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1264\",\"type\":\"grade\"}],\"text\":\"Recent recorded grades — Spring 2025: 3.09 GPA, 54.1% A/AB (n=37 letter grades); Fall 2025: 3.78 GPA, 87.9% A/AB (n=58 letter grades); Spring 2026: 3.30 GPA, 50.0% A/AB (n=22 letter grades).\"}],\"student_experience\":[{\"citations\":[{\"instructor_name\":\"Trevor Leslie\",\"review_date\":\"2020-05-03 21:24:42 +0000 UTC\",\"review_id\":\"424bda782f05f471a70c02ce\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_instructor_id\":\"rmp:2470499\",\"source_review_id\":\"UmF0aW5nLTMzMTkwNzgw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2470499\",\"type\":\"review\"}],\"evidence_scope\":\"past_student_reviews\",\"text\":\"A past student found the instructor supportive because he provided study guides before every exam and specified exactly which topics would appear on the tests.\"}],\"task_hash\":\"9dea82ef7f2113a5605c1c6030c4f9b19967eb742cc93a78268fb92357d29f5c\",\"teaching_history\":[{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1112\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1142\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1164\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":3,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1212\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":3,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1222\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1224\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1234\",\"type\":\"grade\"}],\"text\":\"ANDREAS SEEGER is recorded teaching in Fall 2010, Fall 2013, Spring 2016, Fall 2020, Fall 2021, Spring 2022, Spring 2023. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1132\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1162\",\"type\":\"grade\"}],\"text\":\"ANDREJ ZLATOS is recorded teaching in Fall 2012, Fall 2015. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1094\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1114\",\"type\":\"grade\"}],\"text\":\"GLORIA MARI-BEFFA is recorded teaching in Spring 2009, Spring 2011. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1174\",\"type\":\"grade\"}],\"text\":\"HUNG TRAN is recorded teaching in Spring 2017. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1152\",\"type\":\"grade\"}],\"text\":\"JENNIFER BEICHMAN is recorded teaching in Fall 2014. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1182\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1184\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1192\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1192\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1202\",\"type\":\"grade\"}],\"text\":\"JORIS ROOS is recorded teaching in Fall 2017, Spring 2018, Fall 2018, Fall 2019. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"}],\"text\":\"LARS NIEDORF is recorded teaching in Fall 2025. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1074\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1232\",\"type\":\"grade\"}],\"text\":\"MIKHAIL FELDMAN is recorded teaching in Spring 2007, Fall 2022. 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Funny accent though, kept me amused (he randomly says words high pitched)\",\"course_id\":\"MATH 522\",\"date\":\"2009-04-16 10:25:43 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"a14a5203e00e96d73700d4bb\",\"instructor_id\":\"rmp:620540\",\"instructor_name\":\"Mikhail Feldman\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTE1NjU5OTk5\",\"source_url\":\"https://www.ratemyprofessors.com/professor/620540\"},{\"comment\":\"He's not very good at this whole teaching thing. Tries to cram way too much into lectures in a very disorganized way. If you like watching someone frantically writing proofs on a barely visible chalkboard with no explanation of where things are headed, only to realize halfway through he made a mistake, here's your guy.\",\"course_id\":\"MATH 522\",\"date\":\"2017-12-16 19:41:15 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"51d9ad20c3a380bbffb8e41e\",\"instructor_id\":\"rmp:2281992\",\"instructor_name\":\"Joris Roos\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTI5MjM4NDY0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2281992\"},{\"comment\":\"Terrible, terrible professor. Lectures are very dense and he goes really fast with the material. Homework is 5 problems every week, and only two of the problems are graded, so good luck! Only gives out homework sketches, so you never really get a full answer. Doesn't use the book at all, he has his own lecture notes.\",\"course_id\":\"MATH 522\",\"date\":\"2018-12-13 23:49:33 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"dca75d14fe71bd10bedc9abf\",\"instructor_id\":\"rmp:2281992\",\"instructor_name\":\"Joris Roos\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTMxMDE1NTI3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2281992\"},{\"comment\":\"He had a disorganized class lecture that was difficult to follow. Definitions were not clearly given, and it was unclear if something was a proof of a theorem or a counter-example until he finished writing.\",\"course_id\":\"MATH 522\",\"date\":\"2019-09-05 17:06:14 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"ebb53353c24d8e94be9b509f\",\"instructor_id\":\"rmp:517842\",\"instructor_name\":\"Xianghong Gong\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTMyMjE0NjY2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/517842\"},{\"comment\":\"He is the professor who never gives any partial credit even if you made some good progress in proving the problems. I took 521 and loved analysis but his way of lecturing the course is not only confusing for a lot of students but boring. It seems that he talks to himself when writing on the board. Never take him - find someone else.\",\"course_id\":\"MATH 522\",\"date\":\"2021-11-18 05:42:47 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"0bfaecf9abaa42e3ed6a9fb4\",\"instructor_id\":\"rmp:394755\",\"instructor_name\":\"Andreas Seeger\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM1MjY0MDcy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/394755\"},{\"comment\":\"Don't know how to teach, don't know how to deliver a lecture. Little relation between exams and lectures.\",\"course_id\":\"MATH 522\",\"date\":\"2024-05-10 16:08:22 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"00461fd99c7380dd5833a5d4\",\"instructor_id\":\"rmp:2953115\",\"instructor_name\":\"Sarah Tammen\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM5NDMwNzgy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2953115\"},{\"comment\":\"It felt like he didn't prepare for class, he just flipped through the handouts before class and then did some puzzling proofs on the board himself during class, and not many people understood what he was doing. His syllabus was originally set at 90A 85AB and eventually curved down to 92A 89AB, which was ridiculous.\",\"course_id\":\"MATH 522\",\"date\":\"2024-12-29 06:09:32 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"921c8850757c13f042bcef60\",\"instructor_id\":\"rmp:2933442\",\"instructor_name\":\"Shengwen Gan\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTQwNDU0Nzk5\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2933442\"},{\"comment\":\"Horrendous lecturer.  Would not recommend.\",\"course_id\":\"MATH 522\",\"date\":\"2025-10-07 00:49:06 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"efc51ca10b964621c979dcb4\",\"instructor_id\":\"rmp:2933442\",\"instructor_name\":\"Shengwen Gan\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTQxNjkyNzcw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2933442\"}],\"evidence_count\":9,\"review_ids\":[\"93375eb007b8b86b56dd6e66\",\"a14a5203e00e96d73700d4bb\",\"51d9ad20c3a380bbffb8e41e\",\"dca75d14fe71bd10bedc9abf\",\"ebb53353c24d8e94be9b509f\",\"0bfaecf9abaa42e3ed6a9fb4\",\"00461fd99c7380dd5833a5d4\",\"921c8850757c13f042bcef60\",\"efc51ca10b964621c979dcb4\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:2281992\",\"name\":\"Joris Roos\"},{\"id\":\"rmp:2933442\",\"name\":\"Shengwen Gan\"},{\"id\":\"rmp:2953115\",\"name\":\"Sarah Tammen\"},{\"id\":\"rmp:394755\",\"name\":\"Andreas Seeger\"},{\"id\":\"rmp:517842\",\"name\":\"Xianghong Gong\"},{\"id\":\"rmp:620540\",\"name\":\"Mikhail Feldman\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2007\"},\"sentiment\":\"negative\",\"summary\":\"Several instructors criticized for unclear lectures, disorganized material, and poor explanation of proofs.\"},{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"Excellent professor! She is smart, funny and knows how to teach. Realistic student expectations. Take her!\",\"course_id\":\"MATH 522\",\"date\":\"2009-04-16 10:29:28 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"e799822abc0ca2c742a6309e\",\"instructor_id\":\"rmp:593639\",\"instructor_name\":\"Gloria Mari-Beffa\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTE1NjYwMDE3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/593639\"},{\"comment\":\"A wonderful professor!  She kept the class engaged and made it challenging, without overwhelming us.  She was very helpful, inside and outside of class, and also was quite funny and entertaining.  She is great!  Take her if you can!\",\"course_id\":\"MATH 522\",\"date\":\"2009-05-13 11:56:16 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"0eb26891701727f49437c841\",\"instructor_id\":\"rmp:593639\",\"instructor_name\":\"Gloria Mari-Beffa\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTE1ODI3NTg1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/593639\"},{\"comment\":\"Seeger is very nice to all his students and tries his best to help everyone who asks. Hmwk was a mix of Rudin problems and his own problems, which were harder.  No matter who you take this course with the material is tough - but Seeger does a great job giving insight. One of the best people to take this course from - if you want to major in math.\",\"course_id\":\"MATH 522\",\"date\":\"2013-12-08 03:09:58 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"219527944d4d2f303fb78595\",\"instructor_id\":\"rmp:394755\",\"instructor_name\":\"Andreas Seeger\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIyNDY2Njkz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/394755\"},{\"comment\":\"Very clear lecture, and challenging homework sets, the exams are fair.\",\"course_id\":\"MATH 522\",\"date\":\"2014-12-20 14:57:02 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"d0f58eeedacbb925c23c7433\",\"instructor_id\":\"rmp:1867235\",\"instructor_name\":\"Jennifer Beichman\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI0MTU1NTMx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1867235\"},{\"comment\":\"Only 3 weeks into it and probably the best math class I've had. Andrej explains stuff extremely well. Made me realize how much more I need to learn when he tells us to get our hands dirty and prove something simple looking. I hear his exams are hard too.\",\"course_id\":\"MATH 522\",\"date\":\"2015-09-19 11:36:22 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"b450684198212514b80734ed\",\"instructor_id\":\"rmp:537392\",\"instructor_name\":\"Andrej Zlatos\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI1MTk4MDg3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/537392\"},{\"comment\":\"Prof. Stovall does a great job explaining abstract concepts conceptually, as long as you ask her if you are confused.  Sometimes it might be easy to just write things down and read later, but ask while you can so that you aren't struggling later.  Tests are extremely tough, but fair, and HW the same.  Study the proofs and HW and you'll do fine.\",\"course_id\":\"MATH 522\",\"date\":\"2016-12-05 15:05:08 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"807b1328bcc5cb6d69617e3b\",\"instructor_id\":\"rmp:1786920\",\"instructor_name\":\"Betsy (Lindsay) Stovall\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI3MzM2Njk1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1786920\"},{\"comment\":\"Obviously this isn't an easy class but Hung Tran does a good job of making the most theoretical subject tangible. The lectures can get dense and almost impossible to understand but he really drives home the points that end up being tested.\",\"course_id\":\"MATH 522\",\"date\":\"2017-02-25 13:49:59 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"2206b9212bceacfa93d5a589\",\"instructor_id\":\"rmp:2230918\",\"instructor_name\":\"Hung Tran\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI3ODU2NTkz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\"},{\"comment\":\"Analysis II is a tough subject, but Tran does a good job of presenting his topics in a clear manner. He sticks to the textbook, but he proves theorems in a slightly different way from Rudin, which is interesting and helpful. His exams are fair and he can be funny (don't expect many hints in office hours though). Overall would recommend.\",\"course_id\":\"MATH 522\",\"date\":\"2017-05-09 15:01:46 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"1f48a40f540862ed30446aba\",\"instructor_id\":\"rmp:2230918\",\"instructor_name\":\"Hung Tran\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI4MjYwOTEz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\"},{\"comment\":\"He is really nice! His lectures are clear enough to understand hard concepts. HW really helps to review and understand more out of class(a little tough). He gives study guide before every exam and tells you specific topics that will appear in the exam.\",\"course_id\":\"MATH 522\",\"date\":\"2020-05-03 21:24:42 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"424bda782f05f471a70c02ce\",\"instructor_id\":\"rmp:2470499\",\"instructor_name\":\"Trevor Leslie\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTMzMTkwNzgw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2470499\"},{\"comment\":\"Professor Feldman is definitely one of my favorite professors. He is so professional and most importantly a incredibly patient and nice instructor. He gave all the materials we need for exams. From lectures to homework to exams, everything so well organized. \",\"course_id\":\"MATH 522\",\"date\":\"2023-04-12 13:17:50 +0000 UTC\",\"difficulty_rating\":1,\"id\":\"bfece5c3e47d5c974a70968e\",\"instructor_id\":\"rmp:620540\",\"instructor_name\":\"Mikhail Feldman\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTM3NjE1ODc2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/620540\"},{\"comment\":\"Seeger is a good professor, as lectures are the most helpful thing. His proofs were well-explained, and the tests were difficult but always based on the material in class.\",\"course_id\":\"MATH 522\",\"date\":\"2023-06-16 21:02:47 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"1ece2416b27cdc1c168103a6\",\"instructor_id\":\"rmp:394755\",\"instructor_name\":\"Andreas Seeger\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTM4MDUwOTAw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/394755\"},{\"comment\":\"Her lecture maybe is not the best, but obviously she prepares a lot before lecturing, very caring and helpful during office hours.\",\"course_id\":\"MATH 522\",\"date\":\"2024-12-26 08:38:25 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"ba9176d3673089cb1e8f5eae\",\"instructor_id\":\"rmp:2953115\",\"instructor_name\":\"Sarah Tammen\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQwNDM5MTIz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2953115\"},{\"comment\":\"Lars is an AMAZING guy.\\n(1) Only two mandatory hwk problems week. \\n(2) Hwks can be REALLY hard or really easy\\n(3) Extra credit on hwk and tests (easy A)\\n(4) He is very passionate\\n(5) He takes his time on proofs and explains all of the steps. It can make lectures boring. \\nHe is a good professor now. In few years, he will be an amazing professor. \",\"course_id\":\"MATH 522\",\"date\":\"2025-12-18 05:59:04 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"30824ffa2863bef2d5a1522d\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQyMzI1NzY4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"},{\"comment\":\"Even though he is relatively new to teaching and being a professor, he was amazing at explaining theorems using diagrams to explain them. I can't state how important his drawings were when it came to learning the content. If you are a visual learner, you should certainly take him. HW's were 2 questions a week with extra credit HW every other week\",\"course_id\":\"MATH 522\",\"date\":\"2025-12-25 12:10:05 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"6590199a37bfe43585102a11\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQyMzk2NjAz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"}],\"evidence_count\":14,\"review_ids\":[\"e799822abc0ca2c742a6309e\",\"0eb26891701727f49437c841\",\"219527944d4d2f303fb78595\",\"d0f58eeedacbb925c23c7433\",\"b450684198212514b80734ed\",\"807b1328bcc5cb6d69617e3b\",\"2206b9212bceacfa93d5a589\",\"1f48a40f540862ed30446aba\",\"424bda782f05f471a70c02ce\",\"bfece5c3e47d5c974a70968e\",\"1ece2416b27cdc1c168103a6\",\"ba9176d3673089cb1e8f5eae\",\"30824ffa2863bef2d5a1522d\",\"6590199a37bfe43585102a11\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1786920\",\"name\":\"Betsy (Lindsay) Stovall\"},{\"id\":\"rmp:1867235\",\"name\":\"Jennifer Beichman\"},{\"id\":\"rmp:2230918\",\"name\":\"Hung Tran\"},{\"id\":\"rmp:2470499\",\"name\":\"Trevor Leslie\"},{\"id\":\"rmp:2953115\",\"name\":\"Sarah Tammen\"},{\"id\":\"rmp:3063233\",\"name\":\"Lars Niedorf\"},{\"id\":\"rmp:394755\",\"name\":\"Andreas Seeger\"},{\"id\":\"rmp:537392\",\"name\":\"Andrej Zlatos\"},{\"id\":\"rmp:593639\",\"name\":\"Gloria Mari-Beffa\"},{\"id\":\"rmp:620540\",\"name\":\"Mikhail Feldman\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2009\"},\"sentiment\":\"positive\",\"summary\":\"Many students praised instructors for clear explanations, engaging lectures, and helpful office hours.\"},{\"aspect\":\"workload\",\"evidence\":[{\"comment\":\"Course was easy, but tests were only concerned with having the theorems memorized, not with solving problems.\",\"course_id\":\"MATH 522\",\"date\":\"2012-06-26 05:06:10 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"6e2f1a867adc70557593d13e\",\"instructor_id\":\"rmp:593639\",\"instructor_name\":\"Gloria Mari-Beffa\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTIwNDQ0MDY4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/593639\"},{\"comment\":\"Seeger is very nice to all his students and tries his best to help everyone who asks. Hmwk was a mix of Rudin problems and his own problems, which were harder.  No matter who you take this course with the material is tough - but Seeger does a great job giving insight. One of the best people to take this course from - if you want to major in math.\",\"course_id\":\"MATH 522\",\"date\":\"2013-12-08 03:09:58 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"219527944d4d2f303fb78595\",\"instructor_id\":\"rmp:394755\",\"instructor_name\":\"Andreas Seeger\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIyNDY2Njkz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/394755\"},{\"comment\":\"He explains idea clearly. However, this does not mean that his class is easy. In fact, his math522 relies heavily on algebra tricks and skills, and you also need high maturity in coming up with various ways( or even tricks) to prove some very abstract theorem in homework. What is even worse is that he is not willing to help.\",\"course_id\":\"MATH 522\",\"date\":\"2016-01-28 03:18:58 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"34554508ce1e2d44ce7db18a\",\"instructor_id\":\"rmp:537392\",\"instructor_name\":\"Andrej Zlatos\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTI2MDAzMzAx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/537392\"},{\"comment\":\"Math 522 was one of the hardest courses I've ever taken period but I learned sooo much and found it super worth it. We used mostly notes that he provided that I found extremely clear. Tests were straight-forward applications of the most important theorems. Lectures went directly through the notes and I always regretted missing lecture. Hws tough\",\"course_id\":\"MATH 522\",\"date\":\"2019-01-07 05:00:53 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"54d69fa13530b7805c54d378\",\"instructor_id\":\"rmp:2281992\",\"instructor_name\":\"Joris Roos\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTMxMjEyODI0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2281992\"},{\"comment\":\"New professor. Very lenient? You can get 107.5 final grade. Lots of discussion during lectures; helpful for understanding but didn't finish the content. Uploads notes. Assignment is 2-3 very hard problems (1-3hrs), the 3rd is is extra credit. Downsides: no Piazza. No practice exams. Textbook is very hard to understand.\",\"course_id\":\"MATH 522\",\"date\":\"2026-01-24 23:59:38 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"0ab146407643f84b64cae27c\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQyNTQ1NzM4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"},{\"comment\":\"Lars is an AMAZING guy.\\n(1) Only two mandatory hwk problems week. \\n(2) Hwks can be REALLY hard or really easy\\n(3) Extra credit on hwk and tests (easy A)\\n(4) He is very passionate\\n(5) He takes his time on proofs and explains all of the steps. It can make lectures boring. \\nHe is a good professor now. In few years, he will be an amazing professor. \",\"course_id\":\"MATH 522\",\"date\":\"2025-12-18 05:59:04 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"30824ffa2863bef2d5a1522d\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQyMzI1NzY4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"},{\"comment\":\"Even though he is relatively new to teaching and being a professor, he was amazing at explaining theorems using diagrams to explain them. I can't state how important his drawings were when it came to learning the content. If you are a visual learner, you should certainly take him. HW's were 2 questions a week with extra credit HW every other week\",\"course_id\":\"MATH 522\",\"date\":\"2025-12-25 12:10:05 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"6590199a37bfe43585102a11\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQyMzk2NjAz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"}],\"evidence_count\":7,\"review_ids\":[\"6e2f1a867adc70557593d13e\",\"219527944d4d2f303fb78595\",\"34554508ce1e2d44ce7db18a\",\"54d69fa13530b7805c54d378\",\"0ab146407643f84b64cae27c\",\"30824ffa2863bef2d5a1522d\",\"6590199a37bfe43585102a11\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:2281992\",\"name\":\"Joris Roos\"},{\"id\":\"rmp:3063233\",\"name\":\"Lars Niedorf\"},{\"id\":\"rmp:394755\",\"name\":\"Andreas Seeger\"},{\"id\":\"rmp:537392\",\"name\":\"Andrej Zlatos\"},{\"id\":\"rmp:593639\",\"name\":\"Gloria Mari-Beffa\"}],\"review_year_end\":\"2026\",\"review_year_start\":\"2012\"},\"sentiment\":\"mixed\",\"summary\":\"Workload varies significantly by instructor, ranging from easy memorization to extremely difficult proof-based homework.\"},{\"aspect\":\"assessment\",\"evidence\":[{\"comment\":\"Course was easy, but tests were only concerned with having the theorems memorized, not with solving problems.\",\"course_id\":\"MATH 522\",\"date\":\"2012-06-26 05:06:10 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"6e2f1a867adc70557593d13e\",\"instructor_id\":\"rmp:593639\",\"instructor_name\":\"Gloria Mari-Beffa\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTIwNDQ0MDY4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/593639\"},{\"comment\":\"Prof. Stovall does a great job explaining abstract concepts conceptually, as long as you ask her if you are confused.  Sometimes it might be easy to just write things down and read later, but ask while you can so that you aren't struggling later.  Tests are extremely tough, but fair, and HW the same.  Study the proofs and HW and you'll do fine.\",\"course_id\":\"MATH 522\",\"date\":\"2016-12-05 15:05:08 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"807b1328bcc5cb6d69617e3b\",\"instructor_id\":\"rmp:1786920\",\"instructor_name\":\"Betsy (Lindsay) Stovall\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI3MzM2Njk1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1786920\"},{\"comment\":\"Obviously this isn't an easy class but Hung Tran does a good job of making the most theoretical subject tangible. The lectures can get dense and almost impossible to understand but he really drives home the points that end up being tested.\",\"course_id\":\"MATH 522\",\"date\":\"2017-02-25 13:49:59 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"2206b9212bceacfa93d5a589\",\"instructor_id\":\"rmp:2230918\",\"instructor_name\":\"Hung Tran\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI3ODU2NTkz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\"},{\"comment\":\"Analysis II is a tough subject, but Tran does a good job of presenting his topics in a clear manner. He sticks to the textbook, but he proves theorems in a slightly different way from Rudin, which is interesting and helpful. His exams are fair and he can be funny (don't expect many hints in office hours though). Overall would recommend.\",\"course_id\":\"MATH 522\",\"date\":\"2017-05-09 15:01:46 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"1f48a40f540862ed30446aba\",\"instructor_id\":\"rmp:2230918\",\"instructor_name\":\"Hung Tran\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI4MjYwOTEz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\"},{\"comment\":\"Math 522 was one of the hardest courses I've ever taken period but I learned sooo much and found it super worth it. We used mostly notes that he provided that I found extremely clear. Tests were straight-forward applications of the most important theorems. Lectures went directly through the notes and I always regretted missing lecture. Hws tough\",\"course_id\":\"MATH 522\",\"date\":\"2019-01-07 05:00:53 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"54d69fa13530b7805c54d378\",\"instructor_id\":\"rmp:2281992\",\"instructor_name\":\"Joris Roos\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTMxMjEyODI0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2281992\"},{\"comment\":\"He is the professor who never gives any partial credit even if you made some good progress in proving the problems. I took 521 and loved analysis but his way of lecturing the course is not only confusing for a lot of students but boring. It seems that he talks to himself when writing on the board. Never take him - find someone else.\",\"course_id\":\"MATH 522\",\"date\":\"2021-11-18 05:42:47 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"0bfaecf9abaa42e3ed6a9fb4\",\"instructor_id\":\"rmp:394755\",\"instructor_name\":\"Andreas Seeger\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM1MjY0MDcy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/394755\"},{\"comment\":\"Seeger is a good professor, as lectures are the most helpful thing. His proofs were well-explained, and the tests were difficult but always based on the material in class.\",\"course_id\":\"MATH 522\",\"date\":\"2023-06-16 21:02:47 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"1ece2416b27cdc1c168103a6\",\"instructor_id\":\"rmp:394755\",\"instructor_name\":\"Andreas Seeger\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTM4MDUwOTAw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/394755\"},{\"comment\":\"New professor. Very lenient? You can get 107.5 final grade. Lots of discussion during lectures; helpful for understanding but didn't finish the content. Uploads notes. Assignment is 2-3 very hard problems (1-3hrs), the 3rd is is extra credit. Downsides: no Piazza. No practice exams. Textbook is very hard to understand.\",\"course_id\":\"MATH 522\",\"date\":\"2026-01-24 23:59:38 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"0ab146407643f84b64cae27c\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQyNTQ1NzM4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"}],\"evidence_count\":8,\"review_ids\":[\"6e2f1a867adc70557593d13e\",\"807b1328bcc5cb6d69617e3b\",\"2206b9212bceacfa93d5a589\",\"1f48a40f540862ed30446aba\",\"54d69fa13530b7805c54d378\",\"0bfaecf9abaa42e3ed6a9fb4\",\"1ece2416b27cdc1c168103a6\",\"0ab146407643f84b64cae27c\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1786920\",\"name\":\"Betsy (Lindsay) Stovall\"},{\"id\":\"rmp:2230918\",\"name\":\"Hung Tran\"},{\"id\":\"rmp:2281992\",\"name\":\"Joris Roos\"},{\"id\":\"rmp:3063233\",\"name\":\"Lars Niedorf\"},{\"id\":\"rmp:394755\",\"name\":\"Andreas Seeger\"},{\"id\":\"rmp:593639\",\"name\":\"Gloria Mari-Beffa\"}],\"review_year_end\":\"2026\",\"review_year_start\":\"2012\"},\"sentiment\":\"mixed\",\"summary\":\"Exams are generally considered tough and fair, focusing on theorems and proofs, though some students found them disconnected from lectures.\"}]}","candidate_json":null,"error":null,"model":"nvidia/Qwen3.6-35B-A3B-NVFP4","model_revision":"1355db6a052410cfd62085d94b58866fd0f2c3c5","selected_for_release":false},{"run_id":"20261014T203208-0851c9a1","observed_at":"2026-10-14 17:50:09.728220+00:00","course_uid":"course_0dd25611eebe714d971b7bfb","course_id":"MATH 522","catalog_version_id":"c461f1adf43d70631349d85cccd203af1528c745777460b820d460793c0bfec0","record_version_id":"172da86c47b1eba6e8d0f82e189615701555ad880074bc5813f12900120f6b9c","job_id":"enrich-6556a505c10f448d98d02466","output_id":"d1d5c1e41c1664cdd7eea109737b2d3537f604f7fb152cbe9d60c05b73a86ab3","section":"requirements","status":"invalid","value_json":null,"candidate_json":"{\"nodes\":[{\"children\":[\"r1\"],\"condition\":null,\"course\":null,\"evidence\":\"MATH 521and (MATH 320,340,341,345, or375), graduate/professional standing, or declared in Mathematics VISP (graduate or undergraduate)\",\"id\":\"root\",\"kind\":\"all\"},{\"children\":[\"c521\"],\"condition\":null,\"course\":null,\"evidence\":\"MATH 521and\",\"id\":\"r1\",\"kind\":\"all\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":521,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"MATH 521\",\"id\":\"c521\",\"kind\":\"course\"},{\"children\":[\"alt_group\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 320,340,341,345, or375), graduate/professional standing, or declared in Mathematics VISP (graduate or undergraduate)\",\"id\":\"r2\",\"kind\":\"any\"},{\"children\":[\"c320\",\"c340\",\"c341\",\"c345\",\"c375\",\"cond_standing\",\"cond_visp\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 320,340,341,345, or375), graduate/professional standing, or declared in Mathematics VISP (graduate or undergraduate)\",\"id\":\"alt_group\",\"kind\":\"any\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":320,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"MATH 320\",\"id\":\"c320\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":340,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"340\",\"id\":\"c340\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":341,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"341\",\"id\":\"c341\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":345,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"345\",\"id\":\"c345\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"or375\",\"id\":\"c375\",\"kind\":\"course\"},{\"children\":[],\"condition\":\"graduate/professional standing\",\"course\":null,\"evidence\":\"graduate/professional standing\",\"id\":\"cond_standing\",\"kind\":\"condition\"},{\"children\":[],\"condition\":\"declared in Mathematics VISP (graduate or undergraduate)\",\"course\":null,\"evidence\":\"declared in Mathematics VISP (graduate or undergraduate)\",\"id\":\"cond_visp\",\"kind\":\"condition\"}],\"notes\":[\"Assumed MATH 521 is a prerequisite AND one of the alternative conditions (MATH 320/340/341/345/375, standing, or VISP) is required, based on 'and' followed by a parenthesized list containing 'or' alternatives.\"],\"root\":\"root\",\"status\":\"needs_review\"}","error":"Unreachable nodes: alt_group, c320, c340, c341, c345, c375, cond_standing, cond_visp, r2; 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Differential calculus in normed spaces, including implicit and inverse function theorems.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Analysis II covers special functions, power series, Fourier series, and approximation. It includes the contraction principle, compactness in metric spaces, and differential calculus in normed spaces with implicit and inverse function theore\"},\"topics\":[{\"evidence\":[{\"course_id\":\"MATH 522\",\"field\":\"description\",\"quote\":\"Special functions, power series, Fourier series, approximation, contraction principle, characterizations of compactness in metric spaces, applications to differential equations.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Special functions, power series, Fourier series, approximation, contraction principle, and compactness in metric spaces.\"},{\"evidence\":[{\"course_id\":\"MATH 522\",\"field\":\"description\",\"quote\":\"Differential calculus in normed spaces, including implicit and inverse function theorems.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Differential calculus in normed spaces, including implicit and inverse function theorems.\"}]}","candidate_json":null,"error":null,"model":"Qwen/Qwen3.8-27B","model_revision":"1d4bf0f2ff6012fd82039f2fa52739d0dd7c60c0","selected_for_release":false},{"run_id":"20261014T203208-0851c9a1","observed_at":"2026-10-14 17:50:09.728220+00:00","course_uid":"course_0dd25611eebe714d971b7bfb","course_id":"MATH 522","catalog_version_id":"c461f1adf43d70631349d85cccd203af1528c745777460b820d460793c0bfec0","record_version_id":"172da86c47b1eba6e8d0f82e189615701555ad880074bc5813f12900120f6b9c","job_id":"enrich-6556a505c10f448d98d02466","output_id":"d1d5c1e41c1664cdd7eea109737b2d3537f604f7fb152cbe9d60c05b73a86ab3","section":"student_experience","status":"valid","value_json":"{\"status\":\"supported\",\"themes\":[{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"Only 3 weeks into it and probably the best math class I've had. Andrej explains stuff extremely well. Made me realize how much more I need to learn when he tells us to get our hands dirty and prove something simple looking. I hear his exams are hard too.\",\"course_id\":\"MATH 522\",\"date\":\"2015-09-19 11:36:22 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"b450684198212514b80734ed\",\"instructor_id\":\"rmp:537392\",\"instructor_name\":\"Andrej Zlatos\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI1MTk4MDg3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/537392\"},{\"comment\":\"He explains idea clearly. However, this does not mean that his class is easy. In fact, his math522 relies heavily on algebra tricks and skills, and you also need high maturity in coming up with various ways( or even tricks) to prove some very abstract theorem in homework. What is even worse is that he is not willing to help.\",\"course_id\":\"MATH 522\",\"date\":\"2016-01-28 03:18:58 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"34554508ce1e2d44ce7db18a\",\"instructor_id\":\"rmp:537392\",\"instructor_name\":\"Andrej Zlatos\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTI2MDAzMzAx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/537392\"}],\"evidence_count\":2,\"review_ids\":[\"b450684198212514b80734ed\",\"34554508ce1e2d44ce7db18a\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:537392\",\"name\":\"Andrej Zlatos\"}],\"review_year_end\":\"2016\",\"review_year_start\":\"2015\"},\"sentiment\":\"mixed\",\"subject_instructor_id\":\"rmp:537392\",\"summary\":\"Cited reviews describe Andrej Zlatos as clear in explaining ideas but note the course relies heavily on algebra tricks and skills for abstract proofs.\"},{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"Analysis II is a tough subject, but Tran does a good job of presenting his topics in a clear manner. He sticks to the textbook, but he proves theorems in a slightly different way from Rudin, which is interesting and helpful. His exams are fair and he can be funny (don't expect many hints in office hours though). Overall would recommend.\",\"course_id\":\"MATH 522\",\"date\":\"2017-05-09 15:01:46 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"1f48a40f540862ed30446aba\",\"instructor_id\":\"rmp:2230918\",\"instructor_name\":\"Hung Tran\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI4MjYwOTEz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\"},{\"comment\":\"Obviously this isn't an easy class but Hung Tran does a good job of making the most theoretical subject tangible. The lectures can get dense and almost impossible to understand but he really drives home the points that end up being tested.\",\"course_id\":\"MATH 522\",\"date\":\"2017-02-25 13:49:59 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"2206b9212bceacfa93d5a589\",\"instructor_id\":\"rmp:2230918\",\"instructor_name\":\"Hung Tran\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI3ODU2NTkz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\"}],\"evidence_count\":2,\"review_ids\":[\"1f48a40f540862ed30446aba\",\"2206b9212bceacfa93d5a589\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:2230918\",\"name\":\"Hung Tran\"}],\"review_year_end\":\"2017\",\"review_year_start\":\"2017\"},\"sentiment\":\"positive\",\"subject_instructor_id\":\"rmp:2230918\",\"summary\":\"Cited reviews praise Hung Tran for presenting topics clearly and making theoretical subjects tangible, though lectures can be dense.\"},{\"aspect\":\"workload\",\"evidence\":[{\"comment\":\"Seeger is very nice to all his students and tries his best to help everyone who asks. Hmwk was a mix of Rudin problems and his own problems, which were harder.  No matter who you take this course with the material is tough - but Seeger does a great job giving insight. One of the best people to take this course from - if you want to major in math.\",\"course_id\":\"MATH 522\",\"date\":\"2013-12-08 03:09:58 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"219527944d4d2f303fb78595\",\"instructor_id\":\"rmp:394755\",\"instructor_name\":\"Andreas Seeger\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIyNDY2Njkz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/394755\"},{\"comment\":\"He explains idea clearly. However, this does not mean that his class is easy. In fact, his math522 relies heavily on algebra tricks and skills, and you also need high maturity in coming up with various ways( or even tricks) to prove some very abstract theorem in homework. What is even worse is that he is not willing to help.\",\"course_id\":\"MATH 522\",\"date\":\"2016-01-28 03:18:58 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"34554508ce1e2d44ce7db18a\",\"instructor_id\":\"rmp:537392\",\"instructor_name\":\"Andrej Zlatos\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTI2MDAzMzAx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/537392\"}],\"evidence_count\":2,\"review_ids\":[\"219527944d4d2f303fb78595\",\"34554508ce1e2d44ce7db18a\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:394755\",\"name\":\"Andreas Seeger\"},{\"id\":\"rmp:537392\",\"name\":\"Andrej Zlatos\"}],\"review_year_end\":\"2016\",\"review_year_start\":\"2013\"},\"sentiment\":\"neutral\",\"subject_instructor_id\":null,\"summary\":\"Multiple reviewers indicate the material is tough and homework sets are challenging, requiring high maturity in proving abstract theorems.\"},{\"aspect\":\"assessment\",\"evidence\":[{\"comment\":\"Prof. Stovall does a great job explaining abstract concepts conceptually, as long as you ask her if you are confused.  Sometimes it might be easy to just write things down and read later, but ask while you can so that you aren't struggling later.  Tests are extremely tough, but fair, and HW the same.  Study the proofs and HW and you'll do fine.\",\"course_id\":\"MATH 522\",\"date\":\"2016-12-05 15:05:08 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"807b1328bcc5cb6d69617e3b\",\"instructor_id\":\"rmp:1786920\",\"instructor_name\":\"Betsy (Lindsay) Stovall\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI3MzM2Njk1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1786920\"},{\"comment\":\"Analysis II is a tough subject, but Tran does a good job of presenting his topics in a clear manner. He sticks to the textbook, but he proves theorems in a slightly different way from Rudin, which is interesting and helpful. His exams are fair and he can be funny (don't expect many hints in office hours though). Overall would recommend.\",\"course_id\":\"MATH 522\",\"date\":\"2017-05-09 15:01:46 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"1f48a40f540862ed30446aba\",\"instructor_id\":\"rmp:2230918\",\"instructor_name\":\"Hung Tran\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI4MjYwOTEz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\"}],\"evidence_count\":2,\"review_ids\":[\"807b1328bcc5cb6d69617e3b\",\"1f48a40f540862ed30446aba\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1786920\",\"name\":\"Betsy (Lindsay) Stovall\"},{\"id\":\"rmp:2230918\",\"name\":\"Hung Tran\"}],\"review_year_end\":\"2017\",\"review_year_start\":\"2016\"},\"sentiment\":\"positive\",\"subject_instructor_id\":null,\"summary\":\"Cited reviews state that exams are fair, though they may be extremely tough and require studying proofs and homework closely.\"},{\"aspect\":\"organization\",\"evidence\":[{\"comment\":\"He's not very good at this whole teaching thing. Tries to cram way too much into lectures in a very disorganized way. If you like watching someone frantically writing proofs on a barely visible chalkboard with no explanation of where things are headed, only to realize halfway through he made a mistake, here's your guy.\",\"course_id\":\"MATH 522\",\"date\":\"2017-12-16 19:41:15 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"51d9ad20c3a380bbffb8e41e\",\"instructor_id\":\"rmp:2281992\",\"instructor_name\":\"Joris Roos\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTI5MjM4NDY0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2281992\"},{\"comment\":\"Terrible, terrible professor. Lectures are very dense and he goes really fast with the material. Homework is 5 problems every week, and only two of the problems are graded, so good luck! Only gives out homework sketches, so you never really get a full answer. Doesn't use the book at all, he has his own lecture notes.\",\"course_id\":\"MATH 522\",\"date\":\"2018-12-13 23:49:33 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"dca75d14fe71bd10bedc9abf\",\"instructor_id\":\"rmp:2281992\",\"instructor_name\":\"Joris Roos\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTMxMDE1NTI3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2281992\"}],\"evidence_count\":2,\"review_ids\":[\"51d9ad20c3a380bbffb8e41e\",\"dca75d14fe71bd10bedc9abf\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:2281992\",\"name\":\"Joris Roos\"}],\"review_year_end\":\"2018\",\"review_year_start\":\"2017\"},\"sentiment\":\"negative\",\"subject_instructor_id\":\"rmp:2281992\",\"summary\":\"Cited reviews criticize Joris Roos for disorganized lectures, cramming too much material, and providing only homework sketches rather than full answers.\"},{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"Even though he is relatively new to teaching and being a professor, he was amazing at explaining theorems using diagrams to explain them. I can't state how important his drawings were when it came to learning the content. If you are a visual learner, you should certainly take him. HW's were 2 questions a week with extra credit HW every other week\",\"course_id\":\"MATH 522\",\"date\":\"2025-12-25 12:10:05 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"6590199a37bfe43585102a11\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQyMzk2NjAz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"},{\"comment\":\"Lars is an AMAZING guy.\\n(1) Only two mandatory hwk problems week. \\n(2) Hwks can be REALLY hard or really easy\\n(3) Extra credit on hwk and tests (easy A)\\n(4) He is very passionate\\n(5) He takes his time on proofs and explains all of the steps. It can make lectures boring. \\nHe is a good professor now. In few years, he will be an amazing professor. \",\"course_id\":\"MATH 522\",\"date\":\"2025-12-18 05:59:04 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"30824ffa2863bef2d5a1522d\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQyMzI1NzY4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"}],\"evidence_count\":2,\"review_ids\":[\"6590199a37bfe43585102a11\",\"30824ffa2863bef2d5a1522d\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:3063233\",\"name\":\"Lars Niedorf\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2025\"},\"sentiment\":\"positive\",\"subject_instructor_id\":\"rmp:3063233\",\"summary\":\"Cited reviews praise Lars Niedorf for explaining theorems using diagrams and taking time on proofs, which helps visual 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Hmwk was a mix of Rudin problems and his own problems, which were harder.  No matter who you take this course with the material is tough - but Seeger does a great job giving insight. One of the best people to take this course from - if you want to major in math.\",\"course_id\":\"MATH 522\",\"date\":\"2013-12-08 03:09:58 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"219527944d4d2f303fb78595\",\"instructor_id\":\"rmp:394755\",\"instructor_name\":\"Andreas Seeger\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIyNDY2Njkz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/394755\"},{\"comment\":\"He explains idea clearly. However, this does not mean that his class is easy. In fact, his math522 relies heavily on algebra tricks and skills, and you also need high maturity in coming up with various ways( or even tricks) to prove some very abstract theorem in homework. What is even worse is that he is not willing to help.\",\"course_id\":\"MATH 522\",\"date\":\"2016-01-28 03:18:58 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"34554508ce1e2d44ce7db18a\",\"instructor_id\":\"rmp:537392\",\"instructor_name\":\"Andrej Zlatos\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTI2MDAzMzAx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/537392\"}],\"evidence_count\":2,\"review_ids\":[\"219527944d4d2f303fb78595\",\"34554508ce1e2d44ce7db18a\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:394755\",\"name\":\"Andreas Seeger\"},{\"id\":\"rmp:537392\",\"name\":\"Andrej Zlatos\"}],\"review_year_end\":\"2016\",\"review_year_start\":\"2013\"},\"sentiment\":\"neutral\",\"subject_instructor_id\":null,\"summary\":\"Multiple reviewers indicate the material is tough and homework sets are challenging, requiring high maturity in proving abstract theorems.\"},{\"aspect\":\"assessment\",\"evidence\":[{\"comment\":\"Prof. Stovall does a great job explaining abstract concepts conceptually, as long as you ask her if you are confused.  Sometimes it might be easy to just write things down and read later, but ask while you can so that you aren't struggling later.  Tests are extremely tough, but fair, and HW the same.  Study the proofs and HW and you'll do fine.\",\"course_id\":\"MATH 522\",\"date\":\"2016-12-05 15:05:08 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"807b1328bcc5cb6d69617e3b\",\"instructor_id\":\"rmp:1786920\",\"instructor_name\":\"Betsy (Lindsay) Stovall\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI3MzM2Njk1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1786920\"},{\"comment\":\"Analysis II is a tough subject, but Tran does a good job of presenting his topics in a clear manner. He sticks to the textbook, but he proves theorems in a slightly different way from Rudin, which is interesting and helpful. His exams are fair and he can be funny (don't expect many hints in office hours though). Overall would recommend.\",\"course_id\":\"MATH 522\",\"date\":\"2017-05-09 15:01:46 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"1f48a40f540862ed30446aba\",\"instructor_id\":\"rmp:2230918\",\"instructor_name\":\"Hung Tran\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI4MjYwOTEz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\"}],\"evidence_count\":2,\"review_ids\":[\"807b1328bcc5cb6d69617e3b\",\"1f48a40f540862ed30446aba\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1786920\",\"name\":\"Betsy (Lindsay) Stovall\"},{\"id\":\"rmp:2230918\",\"name\":\"Hung Tran\"}],\"review_year_end\":\"2017\",\"review_year_start\":\"2016\"},\"sentiment\":\"positive\",\"subject_instructor_id\":null,\"summary\":\"Cited reviews state that exams are fair, though they may be extremely tough and require studying proofs and homework closely.\"},{\"aspect\":\"organization\",\"evidence\":[{\"comment\":\"He's not very good at this whole teaching thing. Tries to cram way too much into lectures in a very disorganized way. If you like watching someone frantically writing proofs on a barely visible chalkboard with no explanation of where things are headed, only to realize halfway through he made a mistake, here's your guy.\",\"course_id\":\"MATH 522\",\"date\":\"2017-12-16 19:41:15 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"51d9ad20c3a380bbffb8e41e\",\"instructor_id\":\"rmp:2281992\",\"instructor_name\":\"Joris Roos\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTI5MjM4NDY0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2281992\"},{\"comment\":\"Terrible, terrible professor. Lectures are very dense and he goes really fast with the material. Homework is 5 problems every week, and only two of the problems are graded, so good luck! Only gives out homework sketches, so you never really get a full answer. Doesn't use the book at all, he has his own lecture notes.\",\"course_id\":\"MATH 522\",\"date\":\"2018-12-13 23:49:33 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"dca75d14fe71bd10bedc9abf\",\"instructor_id\":\"rmp:2281992\",\"instructor_name\":\"Joris Roos\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTMxMDE1NTI3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2281992\"}],\"evidence_count\":2,\"review_ids\":[\"51d9ad20c3a380bbffb8e41e\",\"dca75d14fe71bd10bedc9abf\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:2281992\",\"name\":\"Joris Roos\"}],\"review_year_end\":\"2018\",\"review_year_start\":\"2017\"},\"sentiment\":\"negative\",\"subject_instructor_id\":\"rmp:2281992\",\"summary\":\"Cited reviews criticize Joris Roos for disorganized lectures, cramming too much material, and providing only homework sketches rather than full answers.\"},{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"Even though he is relatively new to teaching and being a professor, he was amazing at explaining theorems using diagrams to explain them. I can't state how important his drawings were when it came to learning the content. If you are a visual learner, you should certainly take him. HW's were 2 questions a week with extra credit HW every other week\",\"course_id\":\"MATH 522\",\"date\":\"2025-12-25 12:10:05 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"6590199a37bfe43585102a11\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQyMzk2NjAz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"},{\"comment\":\"Lars is an AMAZING guy.\\n(1) Only two mandatory hwk problems week. \\n(2) Hwks can be REALLY hard or really easy\\n(3) Extra credit on hwk and tests (easy A)\\n(4) He is very passionate\\n(5) He takes his time on proofs and explains all of the steps. It can make lectures boring. \\nHe is a good professor now. In few years, he will be an amazing professor. \",\"course_id\":\"MATH 522\",\"date\":\"2025-12-18 05:59:04 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"30824ffa2863bef2d5a1522d\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQyMzI1NzY4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"}],\"evidence_count\":2,\"review_ids\":[\"6590199a37bfe43585102a11\",\"30824ffa2863bef2d5a1522d\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:3063233\",\"name\":\"Lars Niedorf\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2025\"},\"sentiment\":\"positive\",\"subject_instructor_id\":\"rmp:3063233\",\"summary\":\"Cited reviews praise Lars Niedorf for explaining theorems using diagrams and taking time on proofs, which helps visual 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Implementation in Python.\"}],\"text\":\"Linear algebra, multivariable calculus, and optimization.\"},{\"evidence\":[{\"course_id\":\"MATH 375\",\"field\":\"description\",\"quote\":\"Vector spaces and linear transformations, differential calculus of scalar and vector fields, determinants, eigenvalues and eigenvectors, multiple integrals, line integrals, and surface integrals.\"}],\"text\":\"Multivariable calculus and linear algebra.\"}],\"search_phrases\":[\"real analysis graduate course\",\"metric spaces topology\",\"Fourier series approximation\",\"differential calculus normed spaces\",\"implicit function theorem\"],\"skills_taught\":[{\"evidence\":[{\"course_id\":\"MATH 522\",\"field\":\"description\",\"quote\":\"Special functions, power series, Fourier series, approximation, contraction principle, characterizations of compactness in metric spaces, applications to differential equations. 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His lecture notes are literally photocopies of the book, and still he sometimes makes mistakes. Unhelpful in office hours. Rudin (the text) is fine but he doesn't TEACH it at all. Stay away.\",\"course_id\":\"MATH 522\",\"date\":\"2007-09-03 01:29:18 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"93375eb007b8b86b56dd6e66\",\"instructor_id\":\"rmp:620540\",\"instructor_name\":\"Mikhail Feldman\",\"quality_rating\":2,\"source_review_id\":\"UmF0aW5nLTEzNDUzODUy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/620540\"},{\"comment\":\"Preferable to find someone else. Lectures were okay, but he would make tons of mistakes. Often he doesn't understand questions, sometimes doesn't let you finish asking before he answers (not even addressing your question). Material is quite difficult, his teaching isn't good. Funny accent though, kept me amused (he randomly says words high pitched)\",\"course_id\":\"MATH 522\",\"date\":\"2009-04-16 10:25:43 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"a14a5203e00e96d73700d4bb\",\"instructor_id\":\"rmp:620540\",\"instructor_name\":\"Mikhail Feldman\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTE1NjU5OTk5\",\"source_url\":\"https://www.ratemyprofessors.com/professor/620540\"},{\"comment\":\"He's not very good at this whole teaching thing. Tries to cram way too much into lectures in a very disorganized way. If you like watching someone frantically writing proofs on a barely visible chalkboard with no explanation of where things are headed, only to realize halfway through he made a mistake, here's your guy.\",\"course_id\":\"MATH 522\",\"date\":\"2017-12-16 19:41:15 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"51d9ad20c3a380bbffb8e41e\",\"instructor_id\":\"rmp:2281992\",\"instructor_name\":\"Joris Roos\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTI5MjM4NDY0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2281992\"},{\"comment\":\"Terrible, terrible professor. Lectures are very dense and he goes really fast with the material. Homework is 5 problems every week, and only two of the problems are graded, so good luck! Only gives out homework sketches, so you never really get a full answer. Doesn't use the book at all, he has his own lecture notes.\",\"course_id\":\"MATH 522\",\"date\":\"2018-12-13 23:49:33 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"dca75d14fe71bd10bedc9abf\",\"instructor_id\":\"rmp:2281992\",\"instructor_name\":\"Joris Roos\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTMxMDE1NTI3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2281992\"},{\"comment\":\"He had a disorganized class lecture that was difficult to follow. Definitions were not clearly given, and it was unclear if something was a proof of a theorem or a counter-example until he finished writing.\",\"course_id\":\"MATH 522\",\"date\":\"2019-09-05 17:06:14 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"ebb53353c24d8e94be9b509f\",\"instructor_id\":\"rmp:517842\",\"instructor_name\":\"Xianghong Gong\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTMyMjE0NjY2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/517842\"},{\"comment\":\"He is the professor who never gives any partial credit even if you made some good progress in proving the problems. I took 521 and loved analysis but his way of lecturing the course is not only confusing for a lot of students but boring. It seems that he talks to himself when writing on the board. Never take him - find someone else.\",\"course_id\":\"MATH 522\",\"date\":\"2021-11-18 05:42:47 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"0bfaecf9abaa42e3ed6a9fb4\",\"instructor_id\":\"rmp:394755\",\"instructor_name\":\"Andreas Seeger\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM1MjY0MDcy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/394755\"},{\"comment\":\"Don't know how to teach, don't know how to deliver a lecture. Little relation between exams and lectures.\",\"course_id\":\"MATH 522\",\"date\":\"2024-05-10 16:08:22 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"00461fd99c7380dd5833a5d4\",\"instructor_id\":\"rmp:2953115\",\"instructor_name\":\"Sarah Tammen\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM5NDMwNzgy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2953115\"},{\"comment\":\"It felt like he didn't prepare for class, he just flipped through the handouts before class and then did some puzzling proofs on the board himself during class, and not many people understood what he was doing. His syllabus was originally set at 90A 85AB and eventually curved down to 92A 89AB, which was ridiculous.\",\"course_id\":\"MATH 522\",\"date\":\"2024-12-29 06:09:32 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"921c8850757c13f042bcef60\",\"instructor_id\":\"rmp:2933442\",\"instructor_name\":\"Shengwen Gan\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTQwNDU0Nzk5\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2933442\"},{\"comment\":\"Horrendous lecturer.  Would not recommend.\",\"course_id\":\"MATH 522\",\"date\":\"2025-10-07 00:49:06 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"efc51ca10b964621c979dcb4\",\"instructor_id\":\"rmp:2933442\",\"instructor_name\":\"Shengwen Gan\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTQxNjkyNzcw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2933442\"}],\"evidence_count\":9,\"review_ids\":[\"93375eb007b8b86b56dd6e66\",\"a14a5203e00e96d73700d4bb\",\"51d9ad20c3a380bbffb8e41e\",\"dca75d14fe71bd10bedc9abf\",\"ebb53353c24d8e94be9b509f\",\"0bfaecf9abaa42e3ed6a9fb4\",\"00461fd99c7380dd5833a5d4\",\"921c8850757c13f042bcef60\",\"efc51ca10b964621c979dcb4\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:2281992\",\"name\":\"Joris Roos\"},{\"id\":\"rmp:2933442\",\"name\":\"Shengwen Gan\"},{\"id\":\"rmp:2953115\",\"name\":\"Sarah Tammen\"},{\"id\":\"rmp:394755\",\"name\":\"Andreas Seeger\"},{\"id\":\"rmp:517842\",\"name\":\"Xianghong Gong\"},{\"id\":\"rmp:620540\",\"name\":\"Mikhail Feldman\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2007\"},\"sentiment\":\"negative\",\"summary\":\"Several instructors criticized for unclear lectures, disorganized material, and poor explanation of proofs.\"},{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"Excellent professor! She is smart, funny and knows how to teach. Realistic student expectations. Take her!\",\"course_id\":\"MATH 522\",\"date\":\"2009-04-16 10:29:28 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"e799822abc0ca2c742a6309e\",\"instructor_id\":\"rmp:593639\",\"instructor_name\":\"Gloria Mari-Beffa\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTE1NjYwMDE3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/593639\"},{\"comment\":\"A wonderful professor!  She kept the class engaged and made it challenging, without overwhelming us.  She was very helpful, inside and outside of class, and also was quite funny and entertaining.  She is great!  Take her if you can!\",\"course_id\":\"MATH 522\",\"date\":\"2009-05-13 11:56:16 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"0eb26891701727f49437c841\",\"instructor_id\":\"rmp:593639\",\"instructor_name\":\"Gloria Mari-Beffa\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTE1ODI3NTg1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/593639\"},{\"comment\":\"Seeger is very nice to all his students and tries his best to help everyone who asks. Hmwk was a mix of Rudin problems and his own problems, which were harder.  No matter who you take this course with the material is tough - but Seeger does a great job giving insight. One of the best people to take this course from - if you want to major in math.\",\"course_id\":\"MATH 522\",\"date\":\"2013-12-08 03:09:58 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"219527944d4d2f303fb78595\",\"instructor_id\":\"rmp:394755\",\"instructor_name\":\"Andreas Seeger\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIyNDY2Njkz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/394755\"},{\"comment\":\"Very clear lecture, and challenging homework sets, the exams are fair.\",\"course_id\":\"MATH 522\",\"date\":\"2014-12-20 14:57:02 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"d0f58eeedacbb925c23c7433\",\"instructor_id\":\"rmp:1867235\",\"instructor_name\":\"Jennifer Beichman\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI0MTU1NTMx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1867235\"},{\"comment\":\"Only 3 weeks into it and probably the best math class I've had. Andrej explains stuff extremely well. Made me realize how much more I need to learn when he tells us to get our hands dirty and prove something simple looking. I hear his exams are hard too.\",\"course_id\":\"MATH 522\",\"date\":\"2015-09-19 11:36:22 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"b450684198212514b80734ed\",\"instructor_id\":\"rmp:537392\",\"instructor_name\":\"Andrej Zlatos\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI1MTk4MDg3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/537392\"},{\"comment\":\"Prof. Stovall does a great job explaining abstract concepts conceptually, as long as you ask her if you are confused.  Sometimes it might be easy to just write things down and read later, but ask while you can so that you aren't struggling later.  Tests are extremely tough, but fair, and HW the same.  Study the proofs and HW and you'll do fine.\",\"course_id\":\"MATH 522\",\"date\":\"2016-12-05 15:05:08 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"807b1328bcc5cb6d69617e3b\",\"instructor_id\":\"rmp:1786920\",\"instructor_name\":\"Betsy (Lindsay) Stovall\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI3MzM2Njk1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1786920\"},{\"comment\":\"Obviously this isn't an easy class but Hung Tran does a good job of making the most theoretical subject tangible. The lectures can get dense and almost impossible to understand but he really drives home the points that end up being tested.\",\"course_id\":\"MATH 522\",\"date\":\"2017-02-25 13:49:59 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"2206b9212bceacfa93d5a589\",\"instructor_id\":\"rmp:2230918\",\"instructor_name\":\"Hung Tran\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI3ODU2NTkz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\"},{\"comment\":\"Analysis II is a tough subject, but Tran does a good job of presenting his topics in a clear manner. He sticks to the textbook, but he proves theorems in a slightly different way from Rudin, which is interesting and helpful. His exams are fair and he can be funny (don't expect many hints in office hours though). Overall would recommend.\",\"course_id\":\"MATH 522\",\"date\":\"2017-05-09 15:01:46 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"1f48a40f540862ed30446aba\",\"instructor_id\":\"rmp:2230918\",\"instructor_name\":\"Hung Tran\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI4MjYwOTEz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\"},{\"comment\":\"He is really nice! His lectures are clear enough to understand hard concepts. HW really helps to review and understand more out of class(a little tough). He gives study guide before every exam and tells you specific topics that will appear in the exam.\",\"course_id\":\"MATH 522\",\"date\":\"2020-05-03 21:24:42 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"424bda782f05f471a70c02ce\",\"instructor_id\":\"rmp:2470499\",\"instructor_name\":\"Trevor Leslie\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTMzMTkwNzgw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2470499\"},{\"comment\":\"Professor Feldman is definitely one of my favorite professors. He is so professional and most importantly a incredibly patient and nice instructor. He gave all the materials we need for exams. From lectures to homework to exams, everything so well organized. \",\"course_id\":\"MATH 522\",\"date\":\"2023-04-12 13:17:50 +0000 UTC\",\"difficulty_rating\":1,\"id\":\"bfece5c3e47d5c974a70968e\",\"instructor_id\":\"rmp:620540\",\"instructor_name\":\"Mikhail Feldman\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTM3NjE1ODc2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/620540\"},{\"comment\":\"Seeger is a good professor, as lectures are the most helpful thing. His proofs were well-explained, and the tests were difficult but always based on the material in class.\",\"course_id\":\"MATH 522\",\"date\":\"2023-06-16 21:02:47 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"1ece2416b27cdc1c168103a6\",\"instructor_id\":\"rmp:394755\",\"instructor_name\":\"Andreas Seeger\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTM4MDUwOTAw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/394755\"},{\"comment\":\"Her lecture maybe is not the best, but obviously she prepares a lot before lecturing, very caring and helpful during office hours.\",\"course_id\":\"MATH 522\",\"date\":\"2024-12-26 08:38:25 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"ba9176d3673089cb1e8f5eae\",\"instructor_id\":\"rmp:2953115\",\"instructor_name\":\"Sarah Tammen\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQwNDM5MTIz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2953115\"},{\"comment\":\"Lars is an AMAZING guy.\\n(1) Only two mandatory hwk problems week. \\n(2) Hwks can be REALLY hard or really easy\\n(3) Extra credit on hwk and tests (easy A)\\n(4) He is very passionate\\n(5) He takes his time on proofs and explains all of the steps. It can make lectures boring. \\nHe is a good professor now. In few years, he will be an amazing professor. \",\"course_id\":\"MATH 522\",\"date\":\"2025-12-18 05:59:04 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"30824ffa2863bef2d5a1522d\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQyMzI1NzY4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"},{\"comment\":\"Even though he is relatively new to teaching and being a professor, he was amazing at explaining theorems using diagrams to explain them. I can't state how important his drawings were when it came to learning the content. If you are a visual learner, you should certainly take him. HW's were 2 questions a week with extra credit HW every other week\",\"course_id\":\"MATH 522\",\"date\":\"2025-12-25 12:10:05 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"6590199a37bfe43585102a11\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQyMzk2NjAz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"}],\"evidence_count\":14,\"review_ids\":[\"e799822abc0ca2c742a6309e\",\"0eb26891701727f49437c841\",\"219527944d4d2f303fb78595\",\"d0f58eeedacbb925c23c7433\",\"b450684198212514b80734ed\",\"807b1328bcc5cb6d69617e3b\",\"2206b9212bceacfa93d5a589\",\"1f48a40f540862ed30446aba\",\"424bda782f05f471a70c02ce\",\"bfece5c3e47d5c974a70968e\",\"1ece2416b27cdc1c168103a6\",\"ba9176d3673089cb1e8f5eae\",\"30824ffa2863bef2d5a1522d\",\"6590199a37bfe43585102a11\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1786920\",\"name\":\"Betsy (Lindsay) Stovall\"},{\"id\":\"rmp:1867235\",\"name\":\"Jennifer Beichman\"},{\"id\":\"rmp:2230918\",\"name\":\"Hung Tran\"},{\"id\":\"rmp:2470499\",\"name\":\"Trevor Leslie\"},{\"id\":\"rmp:2953115\",\"name\":\"Sarah Tammen\"},{\"id\":\"rmp:3063233\",\"name\":\"Lars Niedorf\"},{\"id\":\"rmp:394755\",\"name\":\"Andreas Seeger\"},{\"id\":\"rmp:537392\",\"name\":\"Andrej Zlatos\"},{\"id\":\"rmp:593639\",\"name\":\"Gloria Mari-Beffa\"},{\"id\":\"rmp:620540\",\"name\":\"Mikhail Feldman\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2009\"},\"sentiment\":\"positive\",\"summary\":\"Many students praised instructors for clear explanations, engaging lectures, and helpful office hours.\"},{\"aspect\":\"workload\",\"evidence\":[{\"comment\":\"Course was easy, but tests were only concerned with having the theorems memorized, not with solving problems.\",\"course_id\":\"MATH 522\",\"date\":\"2012-06-26 05:06:10 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"6e2f1a867adc70557593d13e\",\"instructor_id\":\"rmp:593639\",\"instructor_name\":\"Gloria Mari-Beffa\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTIwNDQ0MDY4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/593639\"},{\"comment\":\"Seeger is very nice to all his students and tries his best to help everyone who asks. Hmwk was a mix of Rudin problems and his own problems, which were harder.  No matter who you take this course with the material is tough - but Seeger does a great job giving insight. One of the best people to take this course from - if you want to major in math.\",\"course_id\":\"MATH 522\",\"date\":\"2013-12-08 03:09:58 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"219527944d4d2f303fb78595\",\"instructor_id\":\"rmp:394755\",\"instructor_name\":\"Andreas Seeger\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIyNDY2Njkz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/394755\"},{\"comment\":\"He explains idea clearly. However, this does not mean that his class is easy. In fact, his math522 relies heavily on algebra tricks and skills, and you also need high maturity in coming up with various ways( or even tricks) to prove some very abstract theorem in homework. What is even worse is that he is not willing to help.\",\"course_id\":\"MATH 522\",\"date\":\"2016-01-28 03:18:58 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"34554508ce1e2d44ce7db18a\",\"instructor_id\":\"rmp:537392\",\"instructor_name\":\"Andrej Zlatos\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTI2MDAzMzAx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/537392\"},{\"comment\":\"Math 522 was one of the hardest courses I've ever taken period but I learned sooo much and found it super worth it. We used mostly notes that he provided that I found extremely clear. Tests were straight-forward applications of the most important theorems. Lectures went directly through the notes and I always regretted missing lecture. Hws tough\",\"course_id\":\"MATH 522\",\"date\":\"2019-01-07 05:00:53 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"54d69fa13530b7805c54d378\",\"instructor_id\":\"rmp:2281992\",\"instructor_name\":\"Joris Roos\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTMxMjEyODI0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2281992\"},{\"comment\":\"New professor. Very lenient? You can get 107.5 final grade. Lots of discussion during lectures; helpful for understanding but didn't finish the content. Uploads notes. Assignment is 2-3 very hard problems (1-3hrs), the 3rd is is extra credit. Downsides: no Piazza. No practice exams. Textbook is very hard to understand.\",\"course_id\":\"MATH 522\",\"date\":\"2026-01-24 23:59:38 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"0ab146407643f84b64cae27c\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQyNTQ1NzM4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"},{\"comment\":\"Lars is an AMAZING guy.\\n(1) Only two mandatory hwk problems week. \\n(2) Hwks can be REALLY hard or really easy\\n(3) Extra credit on hwk and tests (easy A)\\n(4) He is very passionate\\n(5) He takes his time on proofs and explains all of the steps. It can make lectures boring. \\nHe is a good professor now. In few years, he will be an amazing professor. \",\"course_id\":\"MATH 522\",\"date\":\"2025-12-18 05:59:04 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"30824ffa2863bef2d5a1522d\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQyMzI1NzY4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"},{\"comment\":\"Even though he is relatively new to teaching and being a professor, he was amazing at explaining theorems using diagrams to explain them. I can't state how important his drawings were when it came to learning the content. If you are a visual learner, you should certainly take him. HW's were 2 questions a week with extra credit HW every other week\",\"course_id\":\"MATH 522\",\"date\":\"2025-12-25 12:10:05 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"6590199a37bfe43585102a11\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQyMzk2NjAz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"}],\"evidence_count\":7,\"review_ids\":[\"6e2f1a867adc70557593d13e\",\"219527944d4d2f303fb78595\",\"34554508ce1e2d44ce7db18a\",\"54d69fa13530b7805c54d378\",\"0ab146407643f84b64cae27c\",\"30824ffa2863bef2d5a1522d\",\"6590199a37bfe43585102a11\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:2281992\",\"name\":\"Joris Roos\"},{\"id\":\"rmp:3063233\",\"name\":\"Lars Niedorf\"},{\"id\":\"rmp:394755\",\"name\":\"Andreas Seeger\"},{\"id\":\"rmp:537392\",\"name\":\"Andrej Zlatos\"},{\"id\":\"rmp:593639\",\"name\":\"Gloria Mari-Beffa\"}],\"review_year_end\":\"2026\",\"review_year_start\":\"2012\"},\"sentiment\":\"mixed\",\"summary\":\"Workload varies significantly by instructor, ranging from easy memorization to extremely difficult proof-based homework.\"},{\"aspect\":\"assessment\",\"evidence\":[{\"comment\":\"Course was easy, but tests were only concerned with having the theorems memorized, not with solving problems.\",\"course_id\":\"MATH 522\",\"date\":\"2012-06-26 05:06:10 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"6e2f1a867adc70557593d13e\",\"instructor_id\":\"rmp:593639\",\"instructor_name\":\"Gloria Mari-Beffa\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTIwNDQ0MDY4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/593639\"},{\"comment\":\"Prof. Stovall does a great job explaining abstract concepts conceptually, as long as you ask her if you are confused.  Sometimes it might be easy to just write things down and read later, but ask while you can so that you aren't struggling later.  Tests are extremely tough, but fair, and HW the same.  Study the proofs and HW and you'll do fine.\",\"course_id\":\"MATH 522\",\"date\":\"2016-12-05 15:05:08 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"807b1328bcc5cb6d69617e3b\",\"instructor_id\":\"rmp:1786920\",\"instructor_name\":\"Betsy (Lindsay) Stovall\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI3MzM2Njk1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1786920\"},{\"comment\":\"Obviously this isn't an easy class but Hung Tran does a good job of making the most theoretical subject tangible. The lectures can get dense and almost impossible to understand but he really drives home the points that end up being tested.\",\"course_id\":\"MATH 522\",\"date\":\"2017-02-25 13:49:59 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"2206b9212bceacfa93d5a589\",\"instructor_id\":\"rmp:2230918\",\"instructor_name\":\"Hung Tran\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI3ODU2NTkz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\"},{\"comment\":\"Analysis II is a tough subject, but Tran does a good job of presenting his topics in a clear manner. He sticks to the textbook, but he proves theorems in a slightly different way from Rudin, which is interesting and helpful. His exams are fair and he can be funny (don't expect many hints in office hours though). Overall would recommend.\",\"course_id\":\"MATH 522\",\"date\":\"2017-05-09 15:01:46 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"1f48a40f540862ed30446aba\",\"instructor_id\":\"rmp:2230918\",\"instructor_name\":\"Hung Tran\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI4MjYwOTEz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\"},{\"comment\":\"Math 522 was one of the hardest courses I've ever taken period but I learned sooo much and found it super worth it. We used mostly notes that he provided that I found extremely clear. Tests were straight-forward applications of the most important theorems. Lectures went directly through the notes and I always regretted missing lecture. Hws tough\",\"course_id\":\"MATH 522\",\"date\":\"2019-01-07 05:00:53 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"54d69fa13530b7805c54d378\",\"instructor_id\":\"rmp:2281992\",\"instructor_name\":\"Joris Roos\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTMxMjEyODI0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2281992\"},{\"comment\":\"He is the professor who never gives any partial credit even if you made some good progress in proving the problems. I took 521 and loved analysis but his way of lecturing the course is not only confusing for a lot of students but boring. It seems that he talks to himself when writing on the board. Never take him - find someone else.\",\"course_id\":\"MATH 522\",\"date\":\"2021-11-18 05:42:47 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"0bfaecf9abaa42e3ed6a9fb4\",\"instructor_id\":\"rmp:394755\",\"instructor_name\":\"Andreas Seeger\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM1MjY0MDcy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/394755\"},{\"comment\":\"Seeger is a good professor, as lectures are the most helpful thing. His proofs were well-explained, and the tests were difficult but always based on the material in class.\",\"course_id\":\"MATH 522\",\"date\":\"2023-06-16 21:02:47 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"1ece2416b27cdc1c168103a6\",\"instructor_id\":\"rmp:394755\",\"instructor_name\":\"Andreas Seeger\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTM4MDUwOTAw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/394755\"},{\"comment\":\"New professor. Very lenient? You can get 107.5 final grade. Lots of discussion during lectures; helpful for understanding but didn't finish the content. Uploads notes. Assignment is 2-3 very hard problems (1-3hrs), the 3rd is is extra credit. Downsides: no Piazza. No practice exams. Textbook is very hard to understand.\",\"course_id\":\"MATH 522\",\"date\":\"2026-01-24 23:59:38 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"0ab146407643f84b64cae27c\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQyNTQ1NzM4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"}],\"evidence_count\":8,\"review_ids\":[\"6e2f1a867adc70557593d13e\",\"807b1328bcc5cb6d69617e3b\",\"2206b9212bceacfa93d5a589\",\"1f48a40f540862ed30446aba\",\"54d69fa13530b7805c54d378\",\"0bfaecf9abaa42e3ed6a9fb4\",\"1ece2416b27cdc1c168103a6\",\"0ab146407643f84b64cae27c\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1786920\",\"name\":\"Betsy (Lindsay) Stovall\"},{\"id\":\"rmp:2230918\",\"name\":\"Hung Tran\"},{\"id\":\"rmp:2281992\",\"name\":\"Joris Roos\"},{\"id\":\"rmp:3063233\",\"name\":\"Lars Niedorf\"},{\"id\":\"rmp:394755\",\"name\":\"Andreas Seeger\"},{\"id\":\"rmp:593639\",\"name\":\"Gloria Mari-Beffa\"}],\"review_year_end\":\"2026\",\"review_year_start\":\"2012\"},\"sentiment\":\"mixed\",\"summary\":\"Exams are generally considered tough and fair, focusing on theorems and proofs, though some students found them disconnected from lectures.\"}]}","candidate_json":null,"error":null,"model":"nvidia/Qwen3.6-35B-A3B-NVFP4","model_revision":"1355db6a052410cfd62085d94b58866fd0f2c3c5","selected_for_release":false},{"run_id":"20260907T155543-ce3781c4","observed_at":"2026-09-07 15:55:43.033547+00:00","course_uid":"course_0dd25611eebe714d971b7bfb","course_id":"MATH 522","catalog_version_id":"4a43ef726cd827c288f011732b2fc15768186e78209f3d604bfcb5698319f4c6","record_version_id":"5926e9b739890134ef853c7bb817517f4de55ffaa9ff888d44a090608a651f19","job_id":"enrich-8b774950c2b6adfdc46d1b82","output_id":"e7b6757586ee30c32b3ebc56dc8299af78b8e9f410e6b2105a6208ac3641a345","section":"student_summary","status":"invalid","value_json":"{\"context_hash\":\"18349f30b07bfb53ee4f1dfa65dd86d193e2eed8a64433a69c66ab88a73f1a15\",\"course_id\":\"MATH 522\",\"current_instructors\":[{\"instructor_uid\":\"instructor_0d34b3b5979c3c964a0896c9\",\"message\":\"Summary generation failed\",\"name\":\"Xianghong Gong\",\"review_status\":\"generation_failed\",\"rmp_instructor_id\":\"rmp:517842\",\"summary\":[{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1154\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1202\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1264\",\"type\":\"grade\"}],\"text\":\"Recent recorded grades — Spring 2015: 3.29 GPA, 41.2% A/AB (n=17 letter grades); Fall 2019: 3.18 GPA, 43.3% A/AB (n=30 letter grades); Spring 2026: 3.30 GPA, 50.0% A/AB (n=22 letter grades).\"}]}],\"difficulty_workload\":[],\"errors\":[{\"error\":\"ModelAPIError: Connection error.\",\"instructor_uid\":\"instructor_0d34b3b5979c3c964a0896c9\",\"mode\":\"professor\"},{\"error\":\"ModelAPIError: Connection error.\",\"instructor_uid\":null,\"mode\":\"history\"},{\"error\":\"ModelAPIError: Connection error.\",\"instructor_uid\":null,\"mode\":\"overview\"}],\"historical_context\":[],\"message\":null,\"offered\":true,\"profile_hash\":\"5cb4dabf887cdbcd8c00d5a1312e10828b95c63f30bc3ea76aea199565390d02\",\"quick_take\":[{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1254\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1264\",\"type\":\"grade\"}],\"text\":\"Recent recorded grades — Spring 2025: 3.09 GPA, 54.1% A/AB (n=37 letter grades); Fall 2025: 3.78 GPA, 87.9% A/AB (n=58 letter grades); Spring 2026: 3.30 GPA, 50.0% A/AB (n=22 letter grades).\"}],\"student_experience\":[],\"task_hash\":\"74fb0997943e888960bbc9e47db8c4fd12e4292d55c20509d8d89db6a9910f68\",\"teaching_history\":[{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1112\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1142\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1164\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":3,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1212\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":3,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1222\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1224\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1234\",\"type\":\"grade\"}],\"text\":\"ANDREAS SEEGER is recorded teaching in Fall 2010, Fall 2013, Spring 2016, Fall 2020, Fall 2021, Spring 2022, Spring 2023. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1132\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1162\",\"type\":\"grade\"}],\"text\":\"ANDREJ ZLATOS is recorded teaching in Fall 2012, Fall 2015. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1094\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1114\",\"type\":\"grade\"}],\"text\":\"GLORIA MARI-BEFFA is recorded teaching in Spring 2009, Spring 2011. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1174\",\"type\":\"grade\"}],\"text\":\"HUNG TRAN is recorded teaching in Spring 2017. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1152\",\"type\":\"grade\"}],\"text\":\"JENNIFER BEICHMAN is recorded teaching in Fall 2014. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1182\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1184\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1192\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1192\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1202\",\"type\":\"grade\"}],\"text\":\"JORIS ROOS is recorded teaching in Fall 2017, Spring 2018, Fall 2018, Fall 2019. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"}],\"text\":\"LARS NIEDORF is recorded teaching in Fall 2025. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1074\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1232\",\"type\":\"grade\"}],\"text\":\"MIKHAIL FELDMAN is recorded teaching in Spring 2007, Fall 2022. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1244\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1252\",\"type\":\"grade\"}],\"text\":\"SARAH TAMMEN is recorded teaching in Spring 2024, Fall 2024. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1252\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1254\",\"type\":\"grade\"}],\"text\":\"SHENGWEN GAN is recorded teaching in Fall 2024, Spring 2025. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1204\",\"type\":\"grade\"}],\"text\":\"TREVOR LESLIE is recorded teaching in Spring 2020. 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(e.g., using the Arzela-Ascoli theorem to check if a set of continuous functions is relatively compact or not).\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Apply standard theorems such as Arzela-Ascoli, Stone-Weierstrass, and the Contraction Principle in longer arguments.\"}],\"summary\":{\"evidence\":[{\"course_id\":\"MATH 522\",\"field\":\"title\",\"quote\":\"ANALYSIS II\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"},{\"course_id\":\"MATH 522\",\"field\":\"description\",\"quote\":\"Special functions, power series, Fourier series, approximation, contraction principle, characterizations of compactness in metric spaces, applications to differential equations. 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Andrej explains stuff extremely well. Made me realize how much more I need to learn when he tells us to get our hands dirty and prove something simple looking. I hear his exams are hard too.\",\"course_id\":\"MATH 522\",\"date\":\"2015-09-19 11:36:22 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"b450684198212514b80734ed\",\"instructor_id\":\"rmp:537392\",\"instructor_name\":\"Andrej Zlatos\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI1MTk4MDg3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/537392\"},{\"comment\":\"He explains idea clearly. However, this does not mean that his class is easy. In fact, his math522 relies heavily on algebra tricks and skills, and you also need high maturity in coming up with various ways( or even tricks) to prove some very abstract theorem in homework. What is even worse is that he is not willing to help.\",\"course_id\":\"MATH 522\",\"date\":\"2016-01-28 03:18:58 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"34554508ce1e2d44ce7db18a\",\"instructor_id\":\"rmp:537392\",\"instructor_name\":\"Andrej Zlatos\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTI2MDAzMzAx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/537392\"}],\"evidence_count\":2,\"review_ids\":[\"b450684198212514b80734ed\",\"34554508ce1e2d44ce7db18a\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:537392\",\"name\":\"Andrej Zlatos\"}],\"review_year_end\":\"2016\",\"review_year_start\":\"2015\"},\"sentiment\":\"mixed\",\"subject_instructor_id\":\"rmp:537392\",\"summary\":\"Cited reviews describe Andrej Zlatos as clear in explaining ideas but note the course relies heavily on algebra tricks and skills for abstract proofs.\"},{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"Analysis II is a tough subject, but Tran does a good job of presenting his topics in a clear manner. He sticks to the textbook, but he proves theorems in a slightly different way from Rudin, which is interesting and helpful. His exams are fair and he can be funny (don't expect many hints in office hours though). Overall would recommend.\",\"course_id\":\"MATH 522\",\"date\":\"2017-05-09 15:01:46 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"1f48a40f540862ed30446aba\",\"instructor_id\":\"rmp:2230918\",\"instructor_name\":\"Hung Tran\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI4MjYwOTEz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\"},{\"comment\":\"Obviously this isn't an easy class but Hung Tran does a good job of making the most theoretical subject tangible. The lectures can get dense and almost impossible to understand but he really drives home the points that end up being tested.\",\"course_id\":\"MATH 522\",\"date\":\"2017-02-25 13:49:59 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"2206b9212bceacfa93d5a589\",\"instructor_id\":\"rmp:2230918\",\"instructor_name\":\"Hung Tran\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI3ODU2NTkz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\"}],\"evidence_count\":2,\"review_ids\":[\"1f48a40f540862ed30446aba\",\"2206b9212bceacfa93d5a589\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:2230918\",\"name\":\"Hung Tran\"}],\"review_year_end\":\"2017\",\"review_year_start\":\"2017\"},\"sentiment\":\"positive\",\"subject_instructor_id\":\"rmp:2230918\",\"summary\":\"Cited reviews praise Hung Tran for presenting topics clearly and making theoretical subjects tangible, though lectures can be dense.\"},{\"aspect\":\"workload\",\"evidence\":[{\"comment\":\"Seeger is very nice to all his students and tries his best to help everyone who asks. Hmwk was a mix of Rudin problems and his own problems, which were harder.  No matter who you take this course with the material is tough - but Seeger does a great job giving insight. One of the best people to take this course from - if you want to major in math.\",\"course_id\":\"MATH 522\",\"date\":\"2013-12-08 03:09:58 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"219527944d4d2f303fb78595\",\"instructor_id\":\"rmp:394755\",\"instructor_name\":\"Andreas Seeger\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIyNDY2Njkz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/394755\"},{\"comment\":\"He explains idea clearly. However, this does not mean that his class is easy. In fact, his math522 relies heavily on algebra tricks and skills, and you also need high maturity in coming up with various ways( or even tricks) to prove some very abstract theorem in homework. What is even worse is that he is not willing to help.\",\"course_id\":\"MATH 522\",\"date\":\"2016-01-28 03:18:58 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"34554508ce1e2d44ce7db18a\",\"instructor_id\":\"rmp:537392\",\"instructor_name\":\"Andrej Zlatos\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTI2MDAzMzAx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/537392\"}],\"evidence_count\":2,\"review_ids\":[\"219527944d4d2f303fb78595\",\"34554508ce1e2d44ce7db18a\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:394755\",\"name\":\"Andreas Seeger\"},{\"id\":\"rmp:537392\",\"name\":\"Andrej Zlatos\"}],\"review_year_end\":\"2016\",\"review_year_start\":\"2013\"},\"sentiment\":\"neutral\",\"subject_instructor_id\":null,\"summary\":\"Multiple reviewers indicate the material is tough and homework sets are challenging, requiring high maturity in proving abstract theorems.\"},{\"aspect\":\"assessment\",\"evidence\":[{\"comment\":\"Prof. Stovall does a great job explaining abstract concepts conceptually, as long as you ask her if you are confused.  Sometimes it might be easy to just write things down and read later, but ask while you can so that you aren't struggling later.  Tests are extremely tough, but fair, and HW the same.  Study the proofs and HW and you'll do fine.\",\"course_id\":\"MATH 522\",\"date\":\"2016-12-05 15:05:08 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"807b1328bcc5cb6d69617e3b\",\"instructor_id\":\"rmp:1786920\",\"instructor_name\":\"Betsy (Lindsay) Stovall\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI3MzM2Njk1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1786920\"},{\"comment\":\"Analysis II is a tough subject, but Tran does a good job of presenting his topics in a clear manner. He sticks to the textbook, but he proves theorems in a slightly different way from Rudin, which is interesting and helpful. His exams are fair and he can be funny (don't expect many hints in office hours though). Overall would recommend.\",\"course_id\":\"MATH 522\",\"date\":\"2017-05-09 15:01:46 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"1f48a40f540862ed30446aba\",\"instructor_id\":\"rmp:2230918\",\"instructor_name\":\"Hung Tran\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI4MjYwOTEz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\"}],\"evidence_count\":2,\"review_ids\":[\"807b1328bcc5cb6d69617e3b\",\"1f48a40f540862ed30446aba\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1786920\",\"name\":\"Betsy (Lindsay) Stovall\"},{\"id\":\"rmp:2230918\",\"name\":\"Hung Tran\"}],\"review_year_end\":\"2017\",\"review_year_start\":\"2016\"},\"sentiment\":\"positive\",\"subject_instructor_id\":null,\"summary\":\"Cited reviews state that exams are fair, though they may be extremely tough and require studying proofs and homework closely.\"},{\"aspect\":\"organization\",\"evidence\":[{\"comment\":\"He's not very good at this whole teaching thing. Tries to cram way too much into lectures in a very disorganized way. If you like watching someone frantically writing proofs on a barely visible chalkboard with no explanation of where things are headed, only to realize halfway through he made a mistake, here's your guy.\",\"course_id\":\"MATH 522\",\"date\":\"2017-12-16 19:41:15 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"51d9ad20c3a380bbffb8e41e\",\"instructor_id\":\"rmp:2281992\",\"instructor_name\":\"Joris Roos\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTI5MjM4NDY0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2281992\"},{\"comment\":\"Terrible, terrible professor. Lectures are very dense and he goes really fast with the material. Homework is 5 problems every week, and only two of the problems are graded, so good luck! Only gives out homework sketches, so you never really get a full answer. Doesn't use the book at all, he has his own lecture notes.\",\"course_id\":\"MATH 522\",\"date\":\"2018-12-13 23:49:33 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"dca75d14fe71bd10bedc9abf\",\"instructor_id\":\"rmp:2281992\",\"instructor_name\":\"Joris Roos\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTMxMDE1NTI3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2281992\"}],\"evidence_count\":2,\"review_ids\":[\"51d9ad20c3a380bbffb8e41e\",\"dca75d14fe71bd10bedc9abf\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:2281992\",\"name\":\"Joris Roos\"}],\"review_year_end\":\"2018\",\"review_year_start\":\"2017\"},\"sentiment\":\"negative\",\"subject_instructor_id\":\"rmp:2281992\",\"summary\":\"Cited reviews criticize Joris Roos for disorganized lectures, cramming too much material, and providing only homework sketches rather than full answers.\"},{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"Even though he is relatively new to teaching and being a professor, he was amazing at explaining theorems using diagrams to explain them. I can't state how important his drawings were when it came to learning the content. If you are a visual learner, you should certainly take him. HW's were 2 questions a week with extra credit HW every other week\",\"course_id\":\"MATH 522\",\"date\":\"2025-12-25 12:10:05 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"6590199a37bfe43585102a11\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQyMzk2NjAz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"},{\"comment\":\"Lars is an AMAZING guy.\\n(1) Only two mandatory hwk problems week. \\n(2) Hwks can be REALLY hard or really easy\\n(3) Extra credit on hwk and tests (easy A)\\n(4) He is very passionate\\n(5) He takes his time on proofs and explains all of the steps. It can make lectures boring. \\nHe is a good professor now. In few years, he will be an amazing professor. \",\"course_id\":\"MATH 522\",\"date\":\"2025-12-18 05:59:04 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"30824ffa2863bef2d5a1522d\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQyMzI1NzY4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"}],\"evidence_count\":2,\"review_ids\":[\"6590199a37bfe43585102a11\",\"30824ffa2863bef2d5a1522d\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:3063233\",\"name\":\"Lars Niedorf\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2025\"},\"sentiment\":\"positive\",\"subject_instructor_id\":\"rmp:3063233\",\"summary\":\"Cited reviews praise Lars Niedorf for explaining theorems using diagrams and taking time on proofs, which helps visual 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Implementation in Python.\"}],\"text\":\"Linear algebra, multivariable calculus, and optimization.\"},{\"evidence\":[{\"course_id\":\"MATH 375\",\"field\":\"description\",\"quote\":\"Vector spaces and linear transformations, differential calculus of scalar and vector fields, determinants, eigenvalues and eigenvectors, multiple integrals, line integrals, and surface integrals.\"}],\"text\":\"Multivariable calculus and linear algebra.\"}],\"search_phrases\":[\"real analysis graduate course\",\"metric spaces topology\",\"Fourier series approximation\",\"differential calculus normed spaces\",\"implicit function theorem\"],\"skills_taught\":[{\"evidence\":[{\"course_id\":\"MATH 522\",\"field\":\"description\",\"quote\":\"Special functions, power series, Fourier series, approximation, contraction principle, characterizations of compactness in metric spaces, applications to differential equations. 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His lecture notes are literally photocopies of the book, and still he sometimes makes mistakes. Unhelpful in office hours. Rudin (the text) is fine but he doesn't TEACH it at all. Stay away.\",\"course_id\":\"MATH 522\",\"date\":\"2007-09-03 01:29:18 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"93375eb007b8b86b56dd6e66\",\"instructor_id\":\"rmp:620540\",\"instructor_name\":\"Mikhail Feldman\",\"quality_rating\":2,\"source_review_id\":\"UmF0aW5nLTEzNDUzODUy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/620540\"},{\"comment\":\"Preferable to find someone else. Lectures were okay, but he would make tons of mistakes. Often he doesn't understand questions, sometimes doesn't let you finish asking before he answers (not even addressing your question). Material is quite difficult, his teaching isn't good. Funny accent though, kept me amused (he randomly says words high pitched)\",\"course_id\":\"MATH 522\",\"date\":\"2009-04-16 10:25:43 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"a14a5203e00e96d73700d4bb\",\"instructor_id\":\"rmp:620540\",\"instructor_name\":\"Mikhail Feldman\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTE1NjU5OTk5\",\"source_url\":\"https://www.ratemyprofessors.com/professor/620540\"},{\"comment\":\"He's not very good at this whole teaching thing. Tries to cram way too much into lectures in a very disorganized way. If you like watching someone frantically writing proofs on a barely visible chalkboard with no explanation of where things are headed, only to realize halfway through he made a mistake, here's your guy.\",\"course_id\":\"MATH 522\",\"date\":\"2017-12-16 19:41:15 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"51d9ad20c3a380bbffb8e41e\",\"instructor_id\":\"rmp:2281992\",\"instructor_name\":\"Joris Roos\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTI5MjM4NDY0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2281992\"},{\"comment\":\"Terrible, terrible professor. Lectures are very dense and he goes really fast with the material. Homework is 5 problems every week, and only two of the problems are graded, so good luck! Only gives out homework sketches, so you never really get a full answer. Doesn't use the book at all, he has his own lecture notes.\",\"course_id\":\"MATH 522\",\"date\":\"2018-12-13 23:49:33 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"dca75d14fe71bd10bedc9abf\",\"instructor_id\":\"rmp:2281992\",\"instructor_name\":\"Joris Roos\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTMxMDE1NTI3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2281992\"},{\"comment\":\"He had a disorganized class lecture that was difficult to follow. Definitions were not clearly given, and it was unclear if something was a proof of a theorem or a counter-example until he finished writing.\",\"course_id\":\"MATH 522\",\"date\":\"2019-09-05 17:06:14 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"ebb53353c24d8e94be9b509f\",\"instructor_id\":\"rmp:517842\",\"instructor_name\":\"Xianghong Gong\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTMyMjE0NjY2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/517842\"},{\"comment\":\"He is the professor who never gives any partial credit even if you made some good progress in proving the problems. I took 521 and loved analysis but his way of lecturing the course is not only confusing for a lot of students but boring. It seems that he talks to himself when writing on the board. Never take him - find someone else.\",\"course_id\":\"MATH 522\",\"date\":\"2021-11-18 05:42:47 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"0bfaecf9abaa42e3ed6a9fb4\",\"instructor_id\":\"rmp:394755\",\"instructor_name\":\"Andreas Seeger\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM1MjY0MDcy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/394755\"},{\"comment\":\"Don't know how to teach, don't know how to deliver a lecture. Little relation between exams and lectures.\",\"course_id\":\"MATH 522\",\"date\":\"2024-05-10 16:08:22 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"00461fd99c7380dd5833a5d4\",\"instructor_id\":\"rmp:2953115\",\"instructor_name\":\"Sarah Tammen\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM5NDMwNzgy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2953115\"},{\"comment\":\"It felt like he didn't prepare for class, he just flipped through the handouts before class and then did some puzzling proofs on the board himself during class, and not many people understood what he was doing. His syllabus was originally set at 90A 85AB and eventually curved down to 92A 89AB, which was ridiculous.\",\"course_id\":\"MATH 522\",\"date\":\"2024-12-29 06:09:32 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"921c8850757c13f042bcef60\",\"instructor_id\":\"rmp:2933442\",\"instructor_name\":\"Shengwen Gan\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTQwNDU0Nzk5\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2933442\"},{\"comment\":\"Horrendous lecturer.  Would not recommend.\",\"course_id\":\"MATH 522\",\"date\":\"2025-10-07 00:49:06 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"efc51ca10b964621c979dcb4\",\"instructor_id\":\"rmp:2933442\",\"instructor_name\":\"Shengwen Gan\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTQxNjkyNzcw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2933442\"}],\"evidence_count\":9,\"review_ids\":[\"93375eb007b8b86b56dd6e66\",\"a14a5203e00e96d73700d4bb\",\"51d9ad20c3a380bbffb8e41e\",\"dca75d14fe71bd10bedc9abf\",\"ebb53353c24d8e94be9b509f\",\"0bfaecf9abaa42e3ed6a9fb4\",\"00461fd99c7380dd5833a5d4\",\"921c8850757c13f042bcef60\",\"efc51ca10b964621c979dcb4\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:2281992\",\"name\":\"Joris Roos\"},{\"id\":\"rmp:2933442\",\"name\":\"Shengwen Gan\"},{\"id\":\"rmp:2953115\",\"name\":\"Sarah Tammen\"},{\"id\":\"rmp:394755\",\"name\":\"Andreas Seeger\"},{\"id\":\"rmp:517842\",\"name\":\"Xianghong Gong\"},{\"id\":\"rmp:620540\",\"name\":\"Mikhail Feldman\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2007\"},\"sentiment\":\"negative\",\"summary\":\"Several instructors criticized for unclear lectures, disorganized material, and poor explanation of proofs.\"},{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"Excellent professor! She is smart, funny and knows how to teach. Realistic student expectations. Take her!\",\"course_id\":\"MATH 522\",\"date\":\"2009-04-16 10:29:28 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"e799822abc0ca2c742a6309e\",\"instructor_id\":\"rmp:593639\",\"instructor_name\":\"Gloria Mari-Beffa\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTE1NjYwMDE3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/593639\"},{\"comment\":\"A wonderful professor!  She kept the class engaged and made it challenging, without overwhelming us.  She was very helpful, inside and outside of class, and also was quite funny and entertaining.  She is great!  Take her if you can!\",\"course_id\":\"MATH 522\",\"date\":\"2009-05-13 11:56:16 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"0eb26891701727f49437c841\",\"instructor_id\":\"rmp:593639\",\"instructor_name\":\"Gloria Mari-Beffa\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTE1ODI3NTg1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/593639\"},{\"comment\":\"Seeger is very nice to all his students and tries his best to help everyone who asks. Hmwk was a mix of Rudin problems and his own problems, which were harder.  No matter who you take this course with the material is tough - but Seeger does a great job giving insight. One of the best people to take this course from - if you want to major in math.\",\"course_id\":\"MATH 522\",\"date\":\"2013-12-08 03:09:58 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"219527944d4d2f303fb78595\",\"instructor_id\":\"rmp:394755\",\"instructor_name\":\"Andreas Seeger\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIyNDY2Njkz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/394755\"},{\"comment\":\"Very clear lecture, and challenging homework sets, the exams are fair.\",\"course_id\":\"MATH 522\",\"date\":\"2014-12-20 14:57:02 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"d0f58eeedacbb925c23c7433\",\"instructor_id\":\"rmp:1867235\",\"instructor_name\":\"Jennifer Beichman\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI0MTU1NTMx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1867235\"},{\"comment\":\"Only 3 weeks into it and probably the best math class I've had. Andrej explains stuff extremely well. Made me realize how much more I need to learn when he tells us to get our hands dirty and prove something simple looking. I hear his exams are hard too.\",\"course_id\":\"MATH 522\",\"date\":\"2015-09-19 11:36:22 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"b450684198212514b80734ed\",\"instructor_id\":\"rmp:537392\",\"instructor_name\":\"Andrej Zlatos\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI1MTk4MDg3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/537392\"},{\"comment\":\"Prof. Stovall does a great job explaining abstract concepts conceptually, as long as you ask her if you are confused.  Sometimes it might be easy to just write things down and read later, but ask while you can so that you aren't struggling later.  Tests are extremely tough, but fair, and HW the same.  Study the proofs and HW and you'll do fine.\",\"course_id\":\"MATH 522\",\"date\":\"2016-12-05 15:05:08 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"807b1328bcc5cb6d69617e3b\",\"instructor_id\":\"rmp:1786920\",\"instructor_name\":\"Betsy (Lindsay) Stovall\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI3MzM2Njk1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1786920\"},{\"comment\":\"Obviously this isn't an easy class but Hung Tran does a good job of making the most theoretical subject tangible. The lectures can get dense and almost impossible to understand but he really drives home the points that end up being tested.\",\"course_id\":\"MATH 522\",\"date\":\"2017-02-25 13:49:59 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"2206b9212bceacfa93d5a589\",\"instructor_id\":\"rmp:2230918\",\"instructor_name\":\"Hung Tran\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI3ODU2NTkz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\"},{\"comment\":\"Analysis II is a tough subject, but Tran does a good job of presenting his topics in a clear manner. He sticks to the textbook, but he proves theorems in a slightly different way from Rudin, which is interesting and helpful. His exams are fair and he can be funny (don't expect many hints in office hours though). Overall would recommend.\",\"course_id\":\"MATH 522\",\"date\":\"2017-05-09 15:01:46 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"1f48a40f540862ed30446aba\",\"instructor_id\":\"rmp:2230918\",\"instructor_name\":\"Hung Tran\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI4MjYwOTEz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\"},{\"comment\":\"He is really nice! His lectures are clear enough to understand hard concepts. HW really helps to review and understand more out of class(a little tough). He gives study guide before every exam and tells you specific topics that will appear in the exam.\",\"course_id\":\"MATH 522\",\"date\":\"2020-05-03 21:24:42 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"424bda782f05f471a70c02ce\",\"instructor_id\":\"rmp:2470499\",\"instructor_name\":\"Trevor Leslie\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTMzMTkwNzgw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2470499\"},{\"comment\":\"Professor Feldman is definitely one of my favorite professors. He is so professional and most importantly a incredibly patient and nice instructor. He gave all the materials we need for exams. From lectures to homework to exams, everything so well organized. \",\"course_id\":\"MATH 522\",\"date\":\"2023-04-12 13:17:50 +0000 UTC\",\"difficulty_rating\":1,\"id\":\"bfece5c3e47d5c974a70968e\",\"instructor_id\":\"rmp:620540\",\"instructor_name\":\"Mikhail Feldman\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTM3NjE1ODc2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/620540\"},{\"comment\":\"Seeger is a good professor, as lectures are the most helpful thing. His proofs were well-explained, and the tests were difficult but always based on the material in class.\",\"course_id\":\"MATH 522\",\"date\":\"2023-06-16 21:02:47 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"1ece2416b27cdc1c168103a6\",\"instructor_id\":\"rmp:394755\",\"instructor_name\":\"Andreas Seeger\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTM4MDUwOTAw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/394755\"},{\"comment\":\"Her lecture maybe is not the best, but obviously she prepares a lot before lecturing, very caring and helpful during office hours.\",\"course_id\":\"MATH 522\",\"date\":\"2024-12-26 08:38:25 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"ba9176d3673089cb1e8f5eae\",\"instructor_id\":\"rmp:2953115\",\"instructor_name\":\"Sarah Tammen\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQwNDM5MTIz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2953115\"},{\"comment\":\"Lars is an AMAZING guy.\\n(1) Only two mandatory hwk problems week. \\n(2) Hwks can be REALLY hard or really easy\\n(3) Extra credit on hwk and tests (easy A)\\n(4) He is very passionate\\n(5) He takes his time on proofs and explains all of the steps. It can make lectures boring. \\nHe is a good professor now. In few years, he will be an amazing professor. \",\"course_id\":\"MATH 522\",\"date\":\"2025-12-18 05:59:04 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"30824ffa2863bef2d5a1522d\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQyMzI1NzY4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"},{\"comment\":\"Even though he is relatively new to teaching and being a professor, he was amazing at explaining theorems using diagrams to explain them. I can't state how important his drawings were when it came to learning the content. If you are a visual learner, you should certainly take him. HW's were 2 questions a week with extra credit HW every other week\",\"course_id\":\"MATH 522\",\"date\":\"2025-12-25 12:10:05 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"6590199a37bfe43585102a11\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQyMzk2NjAz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"}],\"evidence_count\":14,\"review_ids\":[\"e799822abc0ca2c742a6309e\",\"0eb26891701727f49437c841\",\"219527944d4d2f303fb78595\",\"d0f58eeedacbb925c23c7433\",\"b450684198212514b80734ed\",\"807b1328bcc5cb6d69617e3b\",\"2206b9212bceacfa93d5a589\",\"1f48a40f540862ed30446aba\",\"424bda782f05f471a70c02ce\",\"bfece5c3e47d5c974a70968e\",\"1ece2416b27cdc1c168103a6\",\"ba9176d3673089cb1e8f5eae\",\"30824ffa2863bef2d5a1522d\",\"6590199a37bfe43585102a11\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1786920\",\"name\":\"Betsy (Lindsay) Stovall\"},{\"id\":\"rmp:1867235\",\"name\":\"Jennifer Beichman\"},{\"id\":\"rmp:2230918\",\"name\":\"Hung Tran\"},{\"id\":\"rmp:2470499\",\"name\":\"Trevor Leslie\"},{\"id\":\"rmp:2953115\",\"name\":\"Sarah Tammen\"},{\"id\":\"rmp:3063233\",\"name\":\"Lars Niedorf\"},{\"id\":\"rmp:394755\",\"name\":\"Andreas Seeger\"},{\"id\":\"rmp:537392\",\"name\":\"Andrej Zlatos\"},{\"id\":\"rmp:593639\",\"name\":\"Gloria Mari-Beffa\"},{\"id\":\"rmp:620540\",\"name\":\"Mikhail Feldman\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2009\"},\"sentiment\":\"positive\",\"summary\":\"Many students praised instructors for clear explanations, engaging lectures, and helpful office hours.\"},{\"aspect\":\"workload\",\"evidence\":[{\"comment\":\"Course was easy, but tests were only concerned with having the theorems memorized, not with solving problems.\",\"course_id\":\"MATH 522\",\"date\":\"2012-06-26 05:06:10 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"6e2f1a867adc70557593d13e\",\"instructor_id\":\"rmp:593639\",\"instructor_name\":\"Gloria Mari-Beffa\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTIwNDQ0MDY4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/593639\"},{\"comment\":\"Seeger is very nice to all his students and tries his best to help everyone who asks. Hmwk was a mix of Rudin problems and his own problems, which were harder.  No matter who you take this course with the material is tough - but Seeger does a great job giving insight. One of the best people to take this course from - if you want to major in math.\",\"course_id\":\"MATH 522\",\"date\":\"2013-12-08 03:09:58 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"219527944d4d2f303fb78595\",\"instructor_id\":\"rmp:394755\",\"instructor_name\":\"Andreas Seeger\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIyNDY2Njkz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/394755\"},{\"comment\":\"He explains idea clearly. However, this does not mean that his class is easy. In fact, his math522 relies heavily on algebra tricks and skills, and you also need high maturity in coming up with various ways( or even tricks) to prove some very abstract theorem in homework. What is even worse is that he is not willing to help.\",\"course_id\":\"MATH 522\",\"date\":\"2016-01-28 03:18:58 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"34554508ce1e2d44ce7db18a\",\"instructor_id\":\"rmp:537392\",\"instructor_name\":\"Andrej Zlatos\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTI2MDAzMzAx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/537392\"},{\"comment\":\"Math 522 was one of the hardest courses I've ever taken period but I learned sooo much and found it super worth it. We used mostly notes that he provided that I found extremely clear. Tests were straight-forward applications of the most important theorems. Lectures went directly through the notes and I always regretted missing lecture. Hws tough\",\"course_id\":\"MATH 522\",\"date\":\"2019-01-07 05:00:53 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"54d69fa13530b7805c54d378\",\"instructor_id\":\"rmp:2281992\",\"instructor_name\":\"Joris Roos\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTMxMjEyODI0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2281992\"},{\"comment\":\"New professor. Very lenient? You can get 107.5 final grade. Lots of discussion during lectures; helpful for understanding but didn't finish the content. Uploads notes. Assignment is 2-3 very hard problems (1-3hrs), the 3rd is is extra credit. Downsides: no Piazza. No practice exams. Textbook is very hard to understand.\",\"course_id\":\"MATH 522\",\"date\":\"2026-01-24 23:59:38 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"0ab146407643f84b64cae27c\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQyNTQ1NzM4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"},{\"comment\":\"Lars is an AMAZING guy.\\n(1) Only two mandatory hwk problems week. \\n(2) Hwks can be REALLY hard or really easy\\n(3) Extra credit on hwk and tests (easy A)\\n(4) He is very passionate\\n(5) He takes his time on proofs and explains all of the steps. It can make lectures boring. \\nHe is a good professor now. In few years, he will be an amazing professor. \",\"course_id\":\"MATH 522\",\"date\":\"2025-12-18 05:59:04 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"30824ffa2863bef2d5a1522d\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQyMzI1NzY4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"},{\"comment\":\"Even though he is relatively new to teaching and being a professor, he was amazing at explaining theorems using diagrams to explain them. I can't state how important his drawings were when it came to learning the content. If you are a visual learner, you should certainly take him. HW's were 2 questions a week with extra credit HW every other week\",\"course_id\":\"MATH 522\",\"date\":\"2025-12-25 12:10:05 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"6590199a37bfe43585102a11\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQyMzk2NjAz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"}],\"evidence_count\":7,\"review_ids\":[\"6e2f1a867adc70557593d13e\",\"219527944d4d2f303fb78595\",\"34554508ce1e2d44ce7db18a\",\"54d69fa13530b7805c54d378\",\"0ab146407643f84b64cae27c\",\"30824ffa2863bef2d5a1522d\",\"6590199a37bfe43585102a11\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:2281992\",\"name\":\"Joris Roos\"},{\"id\":\"rmp:3063233\",\"name\":\"Lars Niedorf\"},{\"id\":\"rmp:394755\",\"name\":\"Andreas Seeger\"},{\"id\":\"rmp:537392\",\"name\":\"Andrej Zlatos\"},{\"id\":\"rmp:593639\",\"name\":\"Gloria Mari-Beffa\"}],\"review_year_end\":\"2026\",\"review_year_start\":\"2012\"},\"sentiment\":\"mixed\",\"summary\":\"Workload varies significantly by instructor, ranging from easy memorization to extremely difficult proof-based homework.\"},{\"aspect\":\"assessment\",\"evidence\":[{\"comment\":\"Course was easy, but tests were only concerned with having the theorems memorized, not with solving problems.\",\"course_id\":\"MATH 522\",\"date\":\"2012-06-26 05:06:10 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"6e2f1a867adc70557593d13e\",\"instructor_id\":\"rmp:593639\",\"instructor_name\":\"Gloria Mari-Beffa\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTIwNDQ0MDY4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/593639\"},{\"comment\":\"Prof. Stovall does a great job explaining abstract concepts conceptually, as long as you ask her if you are confused.  Sometimes it might be easy to just write things down and read later, but ask while you can so that you aren't struggling later.  Tests are extremely tough, but fair, and HW the same.  Study the proofs and HW and you'll do fine.\",\"course_id\":\"MATH 522\",\"date\":\"2016-12-05 15:05:08 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"807b1328bcc5cb6d69617e3b\",\"instructor_id\":\"rmp:1786920\",\"instructor_name\":\"Betsy (Lindsay) Stovall\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI3MzM2Njk1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1786920\"},{\"comment\":\"Obviously this isn't an easy class but Hung Tran does a good job of making the most theoretical subject tangible. The lectures can get dense and almost impossible to understand but he really drives home the points that end up being tested.\",\"course_id\":\"MATH 522\",\"date\":\"2017-02-25 13:49:59 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"2206b9212bceacfa93d5a589\",\"instructor_id\":\"rmp:2230918\",\"instructor_name\":\"Hung Tran\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTI3ODU2NTkz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\"},{\"comment\":\"Analysis II is a tough subject, but Tran does a good job of presenting his topics in a clear manner. He sticks to the textbook, but he proves theorems in a slightly different way from Rudin, which is interesting and helpful. His exams are fair and he can be funny (don't expect many hints in office hours though). Overall would recommend.\",\"course_id\":\"MATH 522\",\"date\":\"2017-05-09 15:01:46 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"1f48a40f540862ed30446aba\",\"instructor_id\":\"rmp:2230918\",\"instructor_name\":\"Hung Tran\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI4MjYwOTEz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2230918\"},{\"comment\":\"Math 522 was one of the hardest courses I've ever taken period but I learned sooo much and found it super worth it. We used mostly notes that he provided that I found extremely clear. Tests were straight-forward applications of the most important theorems. Lectures went directly through the notes and I always regretted missing lecture. Hws tough\",\"course_id\":\"MATH 522\",\"date\":\"2019-01-07 05:00:53 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"54d69fa13530b7805c54d378\",\"instructor_id\":\"rmp:2281992\",\"instructor_name\":\"Joris Roos\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTMxMjEyODI0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2281992\"},{\"comment\":\"He is the professor who never gives any partial credit even if you made some good progress in proving the problems. I took 521 and loved analysis but his way of lecturing the course is not only confusing for a lot of students but boring. It seems that he talks to himself when writing on the board. Never take him - find someone else.\",\"course_id\":\"MATH 522\",\"date\":\"2021-11-18 05:42:47 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"0bfaecf9abaa42e3ed6a9fb4\",\"instructor_id\":\"rmp:394755\",\"instructor_name\":\"Andreas Seeger\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM1MjY0MDcy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/394755\"},{\"comment\":\"Seeger is a good professor, as lectures are the most helpful thing. His proofs were well-explained, and the tests were difficult but always based on the material in class.\",\"course_id\":\"MATH 522\",\"date\":\"2023-06-16 21:02:47 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"1ece2416b27cdc1c168103a6\",\"instructor_id\":\"rmp:394755\",\"instructor_name\":\"Andreas Seeger\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTM4MDUwOTAw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/394755\"},{\"comment\":\"New professor. Very lenient? You can get 107.5 final grade. Lots of discussion during lectures; helpful for understanding but didn't finish the content. Uploads notes. Assignment is 2-3 very hard problems (1-3hrs), the 3rd is is extra credit. Downsides: no Piazza. No practice exams. Textbook is very hard to understand.\",\"course_id\":\"MATH 522\",\"date\":\"2026-01-24 23:59:38 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"0ab146407643f84b64cae27c\",\"instructor_id\":\"rmp:3063233\",\"instructor_name\":\"Lars Niedorf\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQyNTQ1NzM4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\"}],\"evidence_count\":8,\"review_ids\":[\"6e2f1a867adc70557593d13e\",\"807b1328bcc5cb6d69617e3b\",\"2206b9212bceacfa93d5a589\",\"1f48a40f540862ed30446aba\",\"54d69fa13530b7805c54d378\",\"0bfaecf9abaa42e3ed6a9fb4\",\"1ece2416b27cdc1c168103a6\",\"0ab146407643f84b64cae27c\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1786920\",\"name\":\"Betsy (Lindsay) Stovall\"},{\"id\":\"rmp:2230918\",\"name\":\"Hung Tran\"},{\"id\":\"rmp:2281992\",\"name\":\"Joris Roos\"},{\"id\":\"rmp:3063233\",\"name\":\"Lars Niedorf\"},{\"id\":\"rmp:394755\",\"name\":\"Andreas Seeger\"},{\"id\":\"rmp:593639\",\"name\":\"Gloria Mari-Beffa\"}],\"review_year_end\":\"2026\",\"review_year_start\":\"2012\"},\"sentiment\":\"mixed\",\"summary\":\"Exams are generally considered tough and fair, focusing on theorems and proofs, though some students found them disconnected from lectures.\"}]}","candidate_json":null,"error":null,"model":"nvidia/Qwen3.6-35B-A3B-NVFP4","model_revision":"1355db6a052410cfd62085d94b58866fd0f2c3c5","selected_for_release":false},{"run_id":"20260907T155543-ce3781c4","observed_at":"2026-09-07 15:55:43.033547+00:00","course_uid":"course_0dd25611eebe714d971b7bfb","course_id":"MATH 522","catalog_version_id":"4a43ef726cd827c288f011732b2fc15768186e78209f3d604bfcb5698319f4c6","record_version_id":"5926e9b739890134ef853c7bb817517f4de55ffaa9ff888d44a090608a651f19","job_id":"enrich-f516c4d3e82cfe326b4f5f54","output_id":"7888c2994431d2266bce78035bd7915b110efb8116da0d2eaa8f08b0ac9fcb72","section":"student_summary","status":"valid","value_json":"{\"context_hash\":\"18349f30b07bfb53ee4f1dfa65dd86d193e2eed8a64433a69c66ab88a73f1a15\",\"course_id\":\"MATH 522\",\"current_instructors\":[{\"instructor_uid\":\"instructor_0d34b3b5979c3c964a0896c9\",\"message\":null,\"name\":\"Xianghong Gong\",\"review_status\":\"supported\",\"rmp_instructor_id\":\"rmp:517842\",\"summary\":[{\"citations\":[{\"instructor_name\":\"Xianghong Gong\",\"review_date\":\"2019-09-05 17:06:14 +0000 UTC\",\"review_id\":\"ebb53353c24d8e94be9b509f\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:517842\",\"source_review_id\":\"UmF0aW5nLTMyMjE0NjY2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/517842\",\"type\":\"review\"}],\"text\":\"Xianghong Gong receives criticism for disorganized lectures that are difficult to follow. Reviewers note that definitions are unclear and it is hard to distinguish proofs from counter-examples until the lecture ends.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1154\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1202\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1264\",\"type\":\"grade\"}],\"text\":\"Recent recorded grades — Spring 2015: 3.29 GPA, 41.2% A/AB (n=17 letter grades); Fall 2019: 3.18 GPA, 43.3% A/AB (n=30 letter grades); Spring 2026: 3.30 GPA, 50.0% A/AB (n=22 letter grades).\"}]}],\"difficulty_workload\":[{\"citations\":[{\"instructor_name\":\"Xianghong Gong\",\"review_date\":\"2019-09-05 17:06:14 +0000 UTC\",\"review_id\":\"ebb53353c24d8e94be9b509f\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:517842\",\"source_review_id\":\"UmF0aW5nLTMyMjE0NjY2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/517842\",\"type\":\"review\"}],\"text\":\"The course is rated as difficult, with students finding the lecture structure challenging to navigate due to lack of clarity.\"}],\"errors\":[],\"historical_context\":[{\"citations\":[{\"instructor_name\":\"Lars Niedorf\",\"review_date\":\"2026-01-24 23:59:38 +0000 UTC\",\"review_id\":\"0ab146407643f84b64cae27c\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:3063233\",\"source_review_id\":\"UmF0aW5nLTQyNTQ1NzM4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/3063233\",\"type\":\"review\"}],\"text\":\"Historical reviews of Lars Niedorf: Lars Niedorf provides clear notes and encourages discussion, though the textbook is difficult and there are no practice exams. Reviewers note lenient grading but tough assignments, with one student reporting a high final grade despite the challenging problem sets.\"}],\"message\":null,\"offered\":true,\"profile_hash\":\"e59ddc7389015d0035b68cd195c939d475bf72b959b29cf12eab59b454ccaef1\",\"quick_take\":[{\"citations\":[{\"instructor_name\":\"Xianghong Gong\",\"review_date\":\"2019-09-05 17:06:14 +0000 UTC\",\"review_id\":\"ebb53353c24d8e94be9b509f\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:517842\",\"source_review_id\":\"UmF0aW5nLTMyMjE0NjY2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/517842\",\"type\":\"review\"}],\"text\":\"Xianghong Gong's lectures are reported as disorganized and difficult to follow, with unclear definitions and ambiguous distinctions between proofs and counter-examples.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1254\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1264\",\"type\":\"grade\"}],\"text\":\"Recent recorded grades — Spring 2025: 3.09 GPA, 54.1% A/AB (n=37 letter grades); Fall 2025: 3.78 GPA, 87.9% A/AB (n=58 letter grades); Spring 2026: 3.30 GPA, 50.0% A/AB (n=22 letter grades).\"}],\"student_experience\":[{\"citations\":[{\"instructor_name\":\"Xianghong Gong\",\"review_date\":\"2019-09-05 17:06:14 +0000 UTC\",\"review_id\":\"ebb53353c24d8e94be9b509f\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:517842\",\"source_review_id\":\"UmF0aW5nLTMyMjE0NjY2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/517842\",\"type\":\"review\"}],\"text\":\"Students report frustration with the lack of clear definitions and the difficulty in distinguishing between theorem proofs and counter-examples during lectures.\"}],\"task_hash\":\"74fb0997943e888960bbc9e47db8c4fd12e4292d55c20509d8d89db6a9910f68\",\"teaching_history\":[{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1112\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1142\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1164\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":3,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1212\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":3,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1222\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1224\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1234\",\"type\":\"grade\"}],\"text\":\"ANDREAS SEEGER is recorded teaching in Fall 2010, Fall 2013, Spring 2016, Fall 2020, Fall 2021, Spring 2022, Spring 2023. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1132\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1162\",\"type\":\"grade\"}],\"text\":\"ANDREJ ZLATOS is recorded teaching in Fall 2012, Fall 2015. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1094\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1114\",\"type\":\"grade\"}],\"text\":\"GLORIA MARI-BEFFA is recorded teaching in Spring 2009, Spring 2011. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1174\",\"type\":\"grade\"}],\"text\":\"HUNG TRAN is recorded teaching in Spring 2017. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1152\",\"type\":\"grade\"}],\"text\":\"JENNIFER BEICHMAN is recorded teaching in Fall 2014. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1182\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1184\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1192\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1192\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1202\",\"type\":\"grade\"}],\"text\":\"JORIS ROOS is recorded teaching in Fall 2017, Spring 2018, Fall 2018, Fall 2019. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"}],\"text\":\"LARS NIEDORF is recorded teaching in Fall 2025. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1074\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1232\",\"type\":\"grade\"}],\"text\":\"MIKHAIL FELDMAN is recorded teaching in Spring 2007, Fall 2022. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1244\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1252\",\"type\":\"grade\"}],\"text\":\"SARAH TAMMEN is recorded teaching in Spring 2024, Fall 2024. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1252\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1254\",\"type\":\"grade\"}],\"text\":\"SHENGWEN GAN is recorded teaching in Fall 2024, Spring 2025. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1204\",\"type\":\"grade\"}],\"text\":\"TREVOR LESLIE is recorded teaching in Spring 2020. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1104\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1154\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1202\",\"type\":\"grade\"},{\"course_id\":\"MATH 522\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"source_record\":{\"entity_id\":\"d6c480d1-4c0c-3f8c-99f5-7e35a5ab2765\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1264\",\"type\":\"grade\"}],\"text\":\"XIANGHONG GONG is recorded teaching in Spring 2010, Spring 2015, Fall 2019, Spring 2026. Recorded history may be incomplete and does not establish a future schedule.\"}],\"term_id\":\"1272\",\"term_name\":\"2026 Fall\",\"version\":2}","candidate_json":null,"error":null,"model":"nvidia/Qwen3.6-35B-A3B-NVFP4","model_revision":"1355db6a052410cfd62085d94b58866fd0f2c3c5","selected_for_release":false}]