[{"run_id":"20261014T203208-0851c9a1","observed_at":"2026-10-14 17:50:09.728220+00:00","course_uid":"course_dcdb624e3fb8cbaf9a557ab9","course_id":"MATH/STAT 431","catalog_version_id":"8a8476e811370957639e86935b80babca16b86cee1253dd4a3bfe7fbd7898fb5","record_version_id":"835a22e0bd61f42d2897a7628c739589cb6cc32068df66c377d64c3a3ed99391","job_id":"enrich-49752a259f17fab0f49665b3","output_id":"0afc9cf26f258674564c5ee3ffc4b9aec82a128494e8deb78c6b979c3ceeb3a6","section":"requirements","status":"needs_review","value_json":"{\"nodes\":[{\"children\":[\"course_m234\",\"course_m376\",\"cond_grad_standing\",\"cond_premaster\"],\"condition\":null,\"course\":null,\"evidence\":\"MATH 234or376or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program\",\"id\":\"req_any_root\",\"kind\":\"any\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":234,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"MATH 234\",\"id\":\"course_m234\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":376,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"376\",\"id\":\"course_m376\",\"kind\":\"course\"},{\"children\":[],\"condition\":\"graduate/professional standing\",\"course\":null,\"evidence\":\"graduate/professional standing\",\"id\":\"cond_grad_standing\",\"kind\":\"condition\"},{\"children\":[],\"condition\":\"member of the Pre-Masters Mathematics (Visiting International) Program\",\"course\":null,\"evidence\":\"member of the Pre-Masters Mathematics (Visiting International) Program\",\"id\":\"cond_premaster\",\"kind\":\"condition\"}],\"notes\":[\"Interpreted the unpunctuated 'or' chain as a single disjunction of four alternatives.\",\"No minimum grade is specified for MATH 234 or MATH 376.\"],\"root\":\"req_any_root\",\"status\":\"parsed\"}","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_dcdb624e3fb8cbaf9a557ab9","course_id":"MATH/STAT 431","catalog_version_id":"8a8476e811370957639e86935b80babca16b86cee1253dd4a3bfe7fbd7898fb5","record_version_id":"835a22e0bd61f42d2897a7628c739589cb6cc32068df66c377d64c3a3ed99391","job_id":"enrich-49752a259f17fab0f49665b3","output_id":"0afc9cf26f258674564c5ee3ffc4b9aec82a128494e8deb78c6b979c3ceeb3a6","section":"search_profile","status":"valid","value_json":"{\"activity_tags\":[{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"official_learning_outcomes\",\"outcome_index\":0,\"quote\":\"Recall and state the formal definitions of the mathematical objects and their properties used in probability theory (e.g., probability spaces, random variables and random vectors and their probability distributions, named distributions, conditional probability, independence, linearity of expectation, etc.).\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"},{\"course_id\":\"MATH/STAT 431\",\"field\":\"official_learning_outcomes\",\"outcome_index\":4,\"quote\":\"Construct mathematical arguments related to the above definitions, properties, and theorems, including the construction of examples and counterexamples.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"label\":\"mathematical-reasoning\"}],\"assumed_background\":[],\"search_phrases\":[\"probability theory\",\"random variables\",\"central limit theorem\",\"discrete and continuous distributions\",\"moment generating functions\",\"conditional expectation\"],\"skills_taught\":[{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"Topics covered include axioms of probability, random variables, the most important discrete and continuous probability distributions, expectation and variance, moment generating functions, conditional probability and conditional expectations, multivariate distributions, Markov's and Chebyshev's inequalities, laws of large numbers, and the central limit theorem.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Formal probability theory concepts including axioms, distributions, expectation, and limit theorems.\"},{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"official_learning_outcomes\",\"outcome_index\":2,\"quote\":\"Recall and state the standard theorems of probability theory. (e.g., Bayes' theorem, the law of large numbers, the central limit theorem, etc.), and apply these theorems to solve problems in probability theory.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Application of standard probability theorems to solve problems.\"},{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"official_learning_outcomes\",\"outcome_index\":3,\"quote\":\"Use multiple approaches to compute and estimate probabilities and expectations (e.g., using the indicator method, using conditioning, estimating probabilities using normal or Poisson approximation etc.).\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Computing and estimating probabilities and expectations using various methods.\"}],\"summary\":{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"title\",\"quote\":\"INTRODUCTION TO THE THEORY OF PROBABILITY\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"},{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"Topics covered include axioms of probability, random variables, the most important discrete and continuous probability distributions, expectation and variance, moment generating functions, conditional probability and conditional expectations, multivariate distributions, Markov's and Chebyshev's inequalities, laws of large numbers, and the central limit theorem.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Introduction to the Theory of Probability covering axioms, random variables, distributions, expectation, conditional probability, multivariate distributions, inequalities, and limit theorems.\"},\"topics\":[{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"axioms of probability, random variables, the most important discrete and continuous probability distributions, expectation and variance, moment generating functions, conditional probability and conditional expectations, multivariate distributions, Markov's and Chebyshev's inequalities, laws of large numbers, and the central limit theorem\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Axioms of probability, random variables, discrete and continuous distributions, expectation, variance, moment generating functions, conditional probability, multivariate distributions, inequalities, laws of large numbers, and the central\"}]}","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_dcdb624e3fb8cbaf9a557ab9","course_id":"MATH/STAT 431","catalog_version_id":"8a8476e811370957639e86935b80babca16b86cee1253dd4a3bfe7fbd7898fb5","record_version_id":"835a22e0bd61f42d2897a7628c739589cb6cc32068df66c377d64c3a3ed99391","job_id":"enrich-49752a259f17fab0f49665b3","output_id":"0afc9cf26f258674564c5ee3ffc4b9aec82a128494e8deb78c6b979c3ceeb3a6","section":"student_experience","status":"valid","value_json":"{\"status\":\"supported\",\"themes\":[{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"Awful teacher. He really wants his students to learn the material, but he simply can't teach...at all. He routinely makes mistakes without correcting them, never explains anything conceptually, calls students out for looking at their notebook and writing instead of watching the board. Messed up grading both my midterms by over a whole grade (final?\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2009-12-20 15:05:48 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"bcf6e28ede049cad282e5e0d\",\"instructor_id\":\"rmp:167023\",\"instructor_name\":\"Stephen Wainger\",\"quality_rating\":2,\"source_review_id\":\"UmF0aW5nLTE2NjA5Njk1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/167023\"}],\"evidence_count\":1,\"review_ids\":[\"bcf6e28ede049cad282e5e0d\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:167023\",\"name\":\"Stephen Wainger\"}],\"review_year_end\":\"2009\",\"review_year_start\":\"2009\"},\"sentiment\":\"negative\",\"subject_instructor_id\":\"rmp:167023\",\"summary\":\"Reviewers criticize Stephen Wainger for making mistakes without correction and failing to explain concepts clearly.\"},{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"It's a shame David is retiring, but he is by far one of the best math teachers anyone can have. He has great stories to explain the topics. Makes the class fun and interesting. GO TO OFFICE HOURS and you'll be fine.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2011-01-08 16:18:52 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"d8e9c78eae2fcd90fb6a08cf\",\"instructor_id\":\"rmp:266740\",\"instructor_name\":\"David Griffeath\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTE4MTAzMjkw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/266740\"}],\"evidence_count\":1,\"review_ids\":[\"d8e9c78eae2fcd90fb6a08cf\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:266740\",\"name\":\"David Griffeath\"}],\"review_year_end\":\"2011\",\"review_year_start\":\"2011\"},\"sentiment\":\"positive\",\"subject_instructor_id\":\"rmp:266740\",\"summary\":\"Cited reviews praise David Griffeath for using great stories to explain topics and making the class fun and interesting.\"},{\"aspect\":\"assessment\",\"evidence\":[{\"comment\":\"Zaidan is a horrific lecturer.  He reads directly from his notes, occasionally stopping for a poorly-explained proof or example.  Zaidan completely failed to keep my interest--I found the textbook to be far more interesting.  Furthermore, provided practice exams were nothing like the actual tests, which most of the class did exceedingly poor on.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2023-08-11 03:21:23 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"73ccb5ce9bd1e9701e9d8107\",\"instructor_id\":\"rmp:2923961\",\"instructor_name\":\"Zaidan Wu\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM4MTU5MDA2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2923961\"}],\"evidence_count\":1,\"review_ids\":[\"73ccb5ce9bd1e9701e9d8107\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:2923961\",\"name\":\"Zaidan Wu\"}],\"review_year_end\":\"2023\",\"review_year_start\":\"2023\"},\"sentiment\":\"negative\",\"subject_instructor_id\":\"rmp:2923961\",\"summary\":\"One reviewer states that practice exams provided by Zaidan Wu were nothing like the actual tests, leading to poor performance.\"},{\"aspect\":\"overall\",\"evidence\":[{\"comment\":\"Absolute gem in the math department. Oasis in the desert. Very understanding and flexible. Very accomodating with your specific needs. Lectures are to the point. Homeworks are fair and often out of the book. Gives extensions if you need it. Exams are easy, based on practice exams. 100% recommend for 431 if you have the chance.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2021-04-23 12:27:20 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"560cc72de3d6c19e7e307313\",\"instructor_id\":\"rmp:2674823\",\"instructor_name\":\"Hao Shen\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTM0NjA3OTc1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2674823\"}],\"evidence_count\":1,\"review_ids\":[\"560cc72de3d6c19e7e307313\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:2674823\",\"name\":\"Hao Shen\"}],\"review_year_end\":\"2021\",\"review_year_start\":\"2021\"},\"sentiment\":\"positive\",\"subject_instructor_id\":\"rmp:2674823\",\"summary\":\"Cited reviews recommend Hao Shen for being understanding, flexible, and providing fair homework and easy exams based on practice materials.\"},{\"aspect\":\"workload\",\"evidence\":[{\"comment\":\"A. Fish is a good guy and wants his students to learn.  Although Probability was a difficult course he tried to get everyone to learn.  Homework was hard but always helpful in office hours.  He gave practice questions for each exam and was generous in grading.  Study your notes and do a lot of problems on your own and you will do fine like me :)\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2010-05-06 15:14:23 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"84c7002abb357bfd383037aa\",\"instructor_id\":\"rmp:1326966\",\"instructor_name\":\"Alexander Fish\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTE3MTM3OTEy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1326966\"}],\"evidence_count\":1,\"review_ids\":[\"84c7002abb357bfd383037aa\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1326966\",\"name\":\"Alexander Fish\"}],\"review_year_end\":\"2010\",\"review_year_start\":\"2010\"},\"sentiment\":\"mixed\",\"subject_instructor_id\":\"rmp:1326966\",\"summary\":\"Alexander Fish is described as generous in grading, but reviewers note the homework was hard and required significant independent effort.\"},{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"Timo is amazing! Sometimes, when struggling with a problem, I would email him, and his only comment would be something like \\\"Think back to how we did it in class\\\". This problem, which I'd tried to solve for hours by the time I sent the email, would become trivial. He's just that good of a teacher. The textbook is also one of the best I've used.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2017-03-24 16:07:07 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"9d3c9595a4624b8b57d81e0a\",\"instructor_id\":\"rmp:1006782\",\"instructor_name\":\"Timo Seppalainen\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI3OTQ0MDU0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1006782\"}],\"evidence_count\":1,\"review_ids\":[\"9d3c9595a4624b8b57d81e0a\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1006782\",\"name\":\"Timo Seppalainen\"}],\"review_year_end\":\"2017\",\"review_year_start\":\"2017\"},\"sentiment\":\"positive\",\"subject_instructor_id\":\"rmp:1006782\",\"summary\":\"Timo Seppalainen is praised for his teaching ability, with one reviewer noting that his guidance made difficult problems become trivial.\"}]}","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_dcdb624e3fb8cbaf9a557ab9","course_id":"MATH/STAT 431","catalog_version_id":"8a8476e811370957639e86935b80babca16b86cee1253dd4a3bfe7fbd7898fb5","record_version_id":"835a22e0bd61f42d2897a7628c739589cb6cc32068df66c377d64c3a3ed99391","job_id":"enrich-49752a259f17fab0f49665b3","output_id":"0afc9cf26f258674564c5ee3ffc4b9aec82a128494e8deb78c6b979c3ceeb3a6","section":"student_summary","status":"valid","value_json":"{\"context_hash\":\"6e45e34927e27c9c6efdb47ec78bc208be57e9d0398347e82232b69e30c0f75e\",\"course_id\":\"MATH/STAT 431\",\"current_instructors\":[{\"instructor_uid\":\"instructor_81b19386639c1eb68bbb4ae0\",\"message\":null,\"name\":\"Benedek Valko\",\"review_status\":\"supported\",\"rmp_instructor_id\":\"rmp:1566085\",\"summary\":[{\"citations\":[{\"instructor_name\":\"Benedek Valko\",\"review_date\":\"2022-12-16 19:53:18 +0000 UTC\",\"review_id\":\"35cecfd56ac7204a2a306571\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_instructor_id\":\"rmp:1566085\",\"source_review_id\":\"UmF0aW5nLTM3MTU4ODgz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1566085\",\"type\":\"review\"},{\"instructor_name\":\"Benedek Valko\",\"review_date\":\"2023-07-14 18:46:10 +0000 UTC\",\"review_id\":\"f35fe27176d6a4302b2faef7\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_instructor_id\":\"rmp:1566085\",\"source_review_id\":\"UmF0aW5nLTM4MTAzNzE3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1566085\",\"type\":\"review\"},{\"instructor_name\":\"Benedek Valko\",\"review_date\":\"2023-12-17 03:04:45 +0000 UTC\",\"review_id\":\"617094182d3be0079c72f8f3\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_instructor_id\":\"rmp:1566085\",\"source_review_id\":\"UmF0aW5nLTM4NzEyODc1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1566085\",\"type\":\"review\"},{\"instructor_name\":\"Benedek Valko\",\"review_date\":\"2024-01-23 04:48:43 +0000 UTC\",\"review_id\":\"3c77a7b0fdc87828ffd5955b\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_instructor_id\":\"rmp:1566085\",\"source_review_id\":\"UmF0aW5nLTM4OTE0MzA0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1566085\",\"type\":\"review\"},{\"instructor_name\":\"Benedek Valko\",\"review_date\":\"2024-05-20 17:18:21 +0000 UTC\",\"review_id\":\"92c305d97c168a73dc34b73e\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_instructor_id\":\"rmp:1566085\",\"source_review_id\":\"UmF0aW5nLTM5NDk3MTYw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1566085\",\"type\":\"review\"}],\"evidence_scope\":\"past_student_reviews\",\"text\":\"Professor Benedek Valko taught a fast-paced course with weekly homework and quizzes, using dense lectures to build probability concepts from the ground up. While some students found exams tough and grading harsh without partial credit, others noted the material was clear and fair for those who practiced.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1232\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1242\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1244\",\"type\":\"grade\"}],\"text\":\"Recent recorded grades — Fall 2022: 3.13 GPA, 52.6% A/AB (n=38 letter grades); Fall 2023: 3.24 GPA, 60.0% A/AB (n=45 letter grades); Spring 2024: 3.06 GPA, 48.7% A/AB (n=39 letter grades).\"}]},{\"instructor_uid\":\"instructor_5db2aecc976b633b90535628\",\"message\":\"No course-specific reviews available\",\"name\":\"David Anderson\",\"review_status\":\"no_course_reviews\",\"rmp_instructor_id\":null,\"summary\":[{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1144\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":3,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1144\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1154\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":3,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1172\",\"type\":\"grade\"}],\"text\":\"Recent recorded grades — Spring 2014: 2.78 GPA, 42.5% A/AB (n=73 letter grades); Spring 2015: 2.86 GPA, 41.4% A/AB (n=29 letter grades); Fall 2016: 3.28 GPA, 55.2% A/AB (n=29 letter grades).\"}]}],\"difficulty_workload\":[{\"citations\":[{\"instructor_name\":\"Benedek Valko\",\"review_date\":\"2024-05-20 17:18:21 +0000 UTC\",\"review_id\":\"92c305d97c168a73dc34b73e\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_instructor_id\":\"rmp:1566085\",\"source_review_id\":\"UmF0aW5nLTM5NDk3MTYw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1566085\",\"type\":\"review\"},{\"instructor_name\":\"Benedek Valko\",\"review_date\":\"2024-01-23 04:48:43 +0000 UTC\",\"review_id\":\"3c77a7b0fdc87828ffd5955b\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_instructor_id\":\"rmp:1566085\",\"source_review_id\":\"UmF0aW5nLTM4OTE0MzA0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1566085\",\"type\":\"review\"}],\"evidence_scope\":\"past_student_reviews\",\"text\":\"The course required weekly homework and quizzes, with homework described as lengthy and exams as tough but fair. Lectures were dense, covering topics from the textbook, though students found them manageable if they practiced problems consistently.\"}],\"errors\":[],\"historical_context\":[{\"citations\":[{\"instructor_name\":\"Albert Ai\",\"review_date\":\"2022-11-22 04:57:33 +0000 UTC\",\"review_id\":\"fc6812c52fccd62c6fa4d889\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_instructor_id\":\"rmp:2631572\",\"source_review_id\":\"UmF0aW5nLTM2ODc4ODM2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2631572\",\"type\":\"review\"},{\"instructor_name\":\"Chenxi Wu\",\"review_date\":\"2025-12-17 23:33:42 +0000 UTC\",\"review_id\":\"37ba7a3d6e31da80b9779916\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_instructor_id\":\"rmp:2652881\",\"source_review_id\":\"UmF0aW5nLTQyMzE4Njcz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2652881\",\"type\":\"review\"}],\"evidence_scope\":\"past_student_reviews\",\"text\":\"Albert Ai wrote proofs on the board carefully and rigorously, providing motivation for concepts and organizing course content well. Chenxi Wu’s lectures were confusing but he offered on-the-spot examples to clarify things, cared about students, and solicited feedback, though he went deeper into theory than exams required.\"}],\"message\":null,\"offered\":true,\"profile_hash\":\"3f5110430805ccdd533c0c072df62d68a8a5f5441c4530bbdb15d419a199a09c\",\"quick_take\":[{\"citations\":[{\"instructor_name\":\"Benedek Valko\",\"review_date\":\"2024-01-23 04:48:43 +0000 UTC\",\"review_id\":\"3c77a7b0fdc87828ffd5955b\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_instructor_id\":\"rmp:1566085\",\"source_review_id\":\"UmF0aW5nLTM4OTE0MzA0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1566085\",\"type\":\"review\"},{\"instructor_name\":\"Benedek Valko\",\"review_date\":\"2023-12-30 09:05:09 +0000 UTC\",\"review_id\":\"8f708e0c8420cd9df6331e43\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_instructor_id\":\"rmp:1566085\",\"source_review_id\":\"UmF0aW5nLTM4ODExMjMw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1566085\",\"type\":\"review\"}],\"evidence_scope\":\"past_student_reviews\",\"text\":\"Professor Valko is described as a strong instructor who builds probability concepts from the ground up. One student specifically recommended taking the course with him, citing his clear lectures and comprehensive approach to the material.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1254\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1264\",\"type\":\"grade\"}],\"text\":\"Recent recorded grades — Spring 2025: 3.17 GPA, 46.8% A/AB (n=126 letter grades); Fall 2025: 3.26 GPA, 43.7% A/AB (n=135 letter grades); Spring 2026: 3.21 GPA, 49.5% A/AB (n=97 letter grades).\"}],\"student_experience\":[{\"citations\":[{\"instructor_name\":\"Benedek Valko\",\"review_date\":\"2023-07-14 18:46:10 +0000 UTC\",\"review_id\":\"f35fe27176d6a4302b2faef7\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_instructor_id\":\"rmp:1566085\",\"source_review_id\":\"UmF0aW5nLTM4MTAzNzE3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1566085\",\"type\":\"review\"},{\"instructor_name\":\"Benedek Valko\",\"review_date\":\"2024-10-25 17:34:28 +0000 UTC\",\"review_id\":\"3947b92cc3d0703a15af011f\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_instructor_id\":\"rmp:1566085\",\"source_review_id\":\"UmF0aW5nLTM5ODU0Njky\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1566085\",\"type\":\"review\"}],\"evidence_scope\":\"past_student_reviews\",\"text\":\"Feedback on grading was mixed; one student found exams harsh with little partial credit, while another noted Valko adjusted weights to reward improvement and offered extensions for personal difficulties.\"}],\"task_hash\":\"9dea82ef7f2113a5605c1c6030c4f9b19967eb742cc93a78268fb92357d29f5c\",\"teaching_history\":[{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1212\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":4,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1212\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1222\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":4,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1222\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":3,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1244\",\"type\":\"grade\"}],\"text\":\"ALBERT AI is recorded teaching in Fall 2020, Fall 2021, Spring 2024. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1074\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1082\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1112\",\"type\":\"grade\"}],\"text\":\"ALEXANDER KISELEV is recorded teaching in Spring 2007, Fall 2007, Fall 2010. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1094\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1132\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1134\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1142\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":4,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1162\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1172\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1232\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1242\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1244\",\"type\":\"grade\"}],\"text\":\"BENEDEK VALKO is recorded teaching in Spring 2009, Fall 2012, Spring 2013, Fall 2013, Fall 2015, Fall 2016, Fall 2022, Fall 2023, Spring 2024. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"}],\"text\":\"CHENXI WU is recorded teaching in Fall 2025. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":3,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1104\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1114\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1144\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":3,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1144\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1154\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":3,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1172\",\"type\":\"grade\"}],\"text\":\"DAVID ANDERSON is recorded teaching in Spring 2010, Spring 2011, Spring 2014, Spring 2015, Fall 2016. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1122\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":3,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1122\",\"type\":\"grade\"}],\"text\":\"GREGORIO MORENO-FLORES is recorded teaching in Fall 2011. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1194\",\"type\":\"grade\"}],\"text\":\"HAO SHEN is recorded teaching in Spring 2019. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1222\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1252\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":4,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1252\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1254\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1254\",\"type\":\"grade\"}],\"text\":\"MIKHAIL IVANOV is recorded teaching in Fall 2021, Fall 2024, Spring 2025. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1124\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1154\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":3,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1154\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":3,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1174\",\"type\":\"grade\"}],\"text\":\"PHILIP WOOD is recorded teaching in Spring 2012, Spring 2015, Spring 2017. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1162\",\"type\":\"grade\"}],\"text\":\"SAMUEL STECHMANN is recorded teaching in Fall 2015. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":4,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1202\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":4,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1242\",\"type\":\"grade\"}],\"text\":\"SHAOMING GUO is recorded teaching in Fall 2019, Fall 2023. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1084\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1102\",\"type\":\"grade\"}],\"text\":\"STEPHEN WAINGER is recorded teaching in Spring 2008, Fall 2009. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1184\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":3,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1184\",\"type\":\"grade\"}],\"text\":\"XIAOQIN GUO is recorded teaching in Spring 2018. 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":"20260906T231458-5fdd2fff","observed_at":"2026-09-06 23:14:58.172943+00:00","course_uid":"course_dcdb624e3fb8cbaf9a557ab9","course_id":"MATH/STAT 431","catalog_version_id":"ce6975f420b1fb22081f8474141bbaa1218ba4338dd9f4a39b28057273e58f71","record_version_id":"861dca24ee0116ab177860a9e40e9d7321e61f0ef8d28ab80fa35bdbf22fbd68","job_id":"enrich-5291a20b802b9bbbe22b24cb","output_id":"73589165d90954335d8aeb5bf6383d68d846dd1bdb94daa9bfd0e72db2fafe24","section":"requirements","status":"needs_review","value_json":"{\"nodes\":[{\"children\":[\"n1\",\"n2\",\"n3\",\"n4\"],\"condition\":null,\"course\":null,\"evidence\":\"MATH 234or376or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program\",\"id\":\"n0\",\"kind\":\"any\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":234,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"MATH 234\",\"id\":\"n1\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":376,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"376\",\"id\":\"n2\",\"kind\":\"course\"},{\"children\":[],\"condition\":\"graduate/professional standing\",\"course\":null,\"evidence\":\"graduate/professional standing\",\"id\":\"n3\",\"kind\":\"condition\"},{\"children\":[],\"condition\":\"member of the Pre-Masters Mathematics (Visiting International) Program\",\"course\":null,\"evidence\":\"member of the Pre-Masters Mathematics (Visiting International) Program\",\"id\":\"n4\",\"kind\":\"condition\"}],\"notes\":[\"MATH 234 and MATH 376 are linked courses with valid identities.\"],\"root\":\"n0\",\"status\":\"parsed\"}","candidate_json":null,"error":null,"model":"nvidia/Qwen3.6-35B-A3B-NVFP4","model_revision":"1355db6a052410cfd62085d94b58866fd0f2c3c5","selected_for_release":false},{"run_id":"20260906T231458-5fdd2fff","observed_at":"2026-09-06 23:14:58.172943+00:00","course_uid":"course_dcdb624e3fb8cbaf9a557ab9","course_id":"MATH/STAT 431","catalog_version_id":"ce6975f420b1fb22081f8474141bbaa1218ba4338dd9f4a39b28057273e58f71","record_version_id":"861dca24ee0116ab177860a9e40e9d7321e61f0ef8d28ab80fa35bdbf22fbd68","job_id":"enrich-5291a20b802b9bbbe22b24cb","output_id":"73589165d90954335d8aeb5bf6383d68d846dd1bdb94daa9bfd0e72db2fafe24","section":"search_profile","status":"valid","value_json":"{\"assumed_background\":[{\"evidence\":[{\"course_id\":\"MATH 234\",\"field\":\"requirements_text\",\"quote\":\"MATH 222\"},{\"course_id\":\"MATH 376\",\"field\":\"requirements_text\",\"quote\":\"MATH 375\"}],\"text\":\"Calculus of functions of several variables and differential equations\"}],\"search_phrases\":[\"probability theory axioms\",\"random variables distributions\",\"central limit theorem\",\"multivariate distributions\",\"moment generating functions\"],\"skills_taught\":[{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"axioms of probability, random variables, the most important discrete and continuous probability distributions, expectation and variance, moment generating functions, conditional probability and conditional expectations, multivariate distributions, Markov's and Chebyshev's inequalities, laws of large numbers, and the central limit theorem\"}],\"text\":\"Probability theory and statistical distributions\"},{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"conditional probability and conditional expectations\"}],\"text\":\"Conditional probability and expectations\"},{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"Markov's and Chebyshev's inequalities, laws of large numbers, and the central limit theorem\"}],\"text\":\"Limit theorems and inequalities\"}],\"summary\":{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"title\",\"quote\":\"INTRODUCTION TO THE THEORY OF PROBABILITY\"},{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"Topics covered include axioms of probability, random variables, the most important discrete and continuous probability distributions\"}],\"text\":\"Introduction to the theory of probability covering axioms, distributions, and limit theorems\"},\"topics\":[{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"axioms of probability, random variables, the most important discrete and continuous probability distributions, expectation and variance, moment generating functions, conditional probability and conditional expectations, multivariate distributions, Markov's and Chebyshev's inequalities, laws of large numbers, and the central limit theorem\"}],\"text\":\"Probability axioms, random variables, and distributions\"}]}","candidate_json":null,"error":null,"model":"nvidia/Qwen3.6-35B-A3B-NVFP4","model_revision":"1355db6a052410cfd62085d94b58866fd0f2c3c5","selected_for_release":false},{"run_id":"20260906T231458-5fdd2fff","observed_at":"2026-09-06 23:14:58.172943+00:00","course_uid":"course_dcdb624e3fb8cbaf9a557ab9","course_id":"MATH/STAT 431","catalog_version_id":"ce6975f420b1fb22081f8474141bbaa1218ba4338dd9f4a39b28057273e58f71","record_version_id":"861dca24ee0116ab177860a9e40e9d7321e61f0ef8d28ab80fa35bdbf22fbd68","job_id":"enrich-5291a20b802b9bbbe22b24cb","output_id":"73589165d90954335d8aeb5bf6383d68d846dd1bdb94daa9bfd0e72db2fafe24","section":"student_experience","status":"insufficient_evidence","value_json":"{\"status\":\"insufficient_evidence\",\"themes\":[]}","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_dcdb624e3fb8cbaf9a557ab9","course_id":"MATH/STAT 431","catalog_version_id":"ce6975f420b1fb22081f8474141bbaa1218ba4338dd9f4a39b28057273e58f71","record_version_id":"861dca24ee0116ab177860a9e40e9d7321e61f0ef8d28ab80fa35bdbf22fbd68","job_id":"enrich-5590a4969e0a630fe46a86e8","output_id":"b5a1a6eb4d1a260ff938ddf03e9d025aa3de5fb7fbc5dc55f29bf4960bbe53b6","section":"requirements","status":"valid","value_json":"{\"nodes\":[{\"children\":[\"n1\",\"n2\",\"n3\",\"n4\"],\"condition\":null,\"course\":null,\"evidence\":\"MATH 234or376or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program\",\"id\":\"n0\",\"kind\":\"any\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":234,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"MATH 234\",\"id\":\"n1\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":376,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"376\",\"id\":\"n2\",\"kind\":\"course\"},{\"children\":[],\"condition\":\"graduate/professional standing\",\"course\":null,\"evidence\":\"graduate/professional standing\",\"id\":\"n3\",\"kind\":\"condition\"},{\"children\":[],\"condition\":\"member of the Pre-Masters Mathematics (Visiting International) Program\",\"course\":null,\"evidence\":\"member of the Pre-Masters Mathematics (Visiting International) Program\",\"id\":\"n4\",\"kind\":\"condition\"}],\"notes\":[\"MATH 234 and MATH 376 are linked courses with valid identities.\"],\"root\":\"n0\",\"status\":\"parsed\"}","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_dcdb624e3fb8cbaf9a557ab9","course_id":"MATH/STAT 431","catalog_version_id":"ce6975f420b1fb22081f8474141bbaa1218ba4338dd9f4a39b28057273e58f71","record_version_id":"861dca24ee0116ab177860a9e40e9d7321e61f0ef8d28ab80fa35bdbf22fbd68","job_id":"enrich-5590a4969e0a630fe46a86e8","output_id":"b5a1a6eb4d1a260ff938ddf03e9d025aa3de5fb7fbc5dc55f29bf4960bbe53b6","section":"search_profile","status":"valid","value_json":"{\"assumed_background\":[{\"evidence\":[{\"course_id\":\"MATH 234\",\"field\":\"requirements_text\",\"quote\":\"MATH 222\"},{\"course_id\":\"MATH 376\",\"field\":\"requirements_text\",\"quote\":\"MATH 375\"}],\"text\":\"Calculus of functions of several variables and differential equations\"}],\"search_phrases\":[\"probability theory axioms\",\"random variables distributions\",\"central limit theorem\",\"multivariate distributions\",\"moment generating functions\"],\"skills_taught\":[{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"axioms of probability, random variables, the most important discrete and continuous probability distributions, expectation and variance, moment generating functions, conditional probability and conditional expectations, multivariate distributions, Markov's and Chebyshev's inequalities, laws of large numbers, and the central limit theorem\"}],\"text\":\"Probability theory and statistical distributions\"},{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"conditional probability and conditional expectations\"}],\"text\":\"Conditional probability and expectations\"},{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"Markov's and Chebyshev's inequalities, laws of large numbers, and the central limit theorem\"}],\"text\":\"Limit theorems and inequalities\"}],\"summary\":{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"title\",\"quote\":\"INTRODUCTION TO THE THEORY OF PROBABILITY\"},{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"Topics covered include axioms of probability, random variables, the most important discrete and continuous probability distributions\"}],\"text\":\"Introduction to the theory of probability covering axioms, distributions, and limit theorems\"},\"topics\":[{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"axioms of probability, random variables, the most important discrete and continuous probability distributions, expectation and variance, moment generating functions, conditional probability and conditional expectations, multivariate distributions, Markov's and Chebyshev's inequalities, laws of large numbers, and the central limit theorem\"}],\"text\":\"Probability axioms, random variables, and distributions\"}]}","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_dcdb624e3fb8cbaf9a557ab9","course_id":"MATH/STAT 431","catalog_version_id":"ce6975f420b1fb22081f8474141bbaa1218ba4338dd9f4a39b28057273e58f71","record_version_id":"861dca24ee0116ab177860a9e40e9d7321e61f0ef8d28ab80fa35bdbf22fbd68","job_id":"enrich-5590a4969e0a630fe46a86e8","output_id":"b5a1a6eb4d1a260ff938ddf03e9d025aa3de5fb7fbc5dc55f29bf4960bbe53b6","section":"student_experience","status":"valid","value_json":"{\"status\":\"supported\",\"themes\":[{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"Awful teacher. He really wants his students to learn the material, but he simply can't teach...at all. He routinely makes mistakes without correcting them, never explains anything conceptually, calls students out for looking at their notebook and writing instead of watching the board. Messed up grading both my midterms by over a whole grade (final?\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2009-12-20 15:05:48 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"bcf6e28ede049cad282e5e0d\",\"instructor_id\":\"rmp:167023\",\"instructor_name\":\"Stephen Wainger\",\"quality_rating\":2,\"source_review_id\":\"UmF0aW5nLTE2NjA5Njk1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/167023\"},{\"comment\":\"Okay professor. When I went to his office hours, he just ran through the problems in a very theoretical way, which was not helpful. I got a bad grade on one exam and it screwed me over for the course. Be prepared to do a lot of reading on your own. He crammed a ton of info in the last 2 weeks because he ran out of time. Overall, not bad, not great.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2010-12-22 01:18:48 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"bf76bb6359d48a444478b66d\",\"instructor_id\":\"rmp:890956\",\"instructor_name\":\"Alexander Kiselev\",\"quality_rating\":2,\"source_review_id\":\"UmF0aW5nLTE4MDIwNDM5\",\"source_url\":\"https://www.ratemyprofessors.com/professor/890956\"},{\"comment\":\"awful handwriting. lectures are exactly following the textbook which means if u can learn well by uself from the book, u probably can get a good grade. Exams are a little bit hard due to combining the knowledge of previous maths\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2014-09-14 17:40:59 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"3e844848694a370ca07d1e59\",\"instructor_id\":\"rmp:1912162\",\"instructor_name\":\"Howard Becker\",\"quality_rating\":2,\"source_review_id\":\"UmF0aW5nLTIzNTkzMDc2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1912162\"},{\"comment\":\"He is good at lecturing however, when I go to office hours he has troubles doing homework problems. He would take a very long time trying to do them and sometimes would not even dot he problem right. He is not specific on grading especially with final grades as he takes down the website so that you can not see where your grade is at or the average.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2015-12-31 11:12:34 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"a0051415f3fbe92ea966cd49\",\"instructor_id\":\"rmp:1671306\",\"instructor_name\":\"Samuel Stechmann\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTI1ODUzNTA1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1671306\"},{\"comment\":\"His lectures are him taking notes out of the textbook, he will use exactly the same examples as the textbook. I found the textbook a good resource for the class though. He will ask for questions, wait two seconds, and then move on. Going to office hours is helpful for the homework. Practice exams were much easier than the exams. \",\"course_id\":\"MATH/STAT 431\",\"date\":\"2022-09-18 21:00:45 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"9bc879e59f83ea82527526df\",\"instructor_id\":\"rmp:2697840\",\"instructor_name\":\"Dohyun Kwon\",\"quality_rating\":2,\"source_review_id\":\"UmF0aW5nLTM2NjQ4NTk5\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2697840\"},{\"comment\":\"Zaidan is a horrific lecturer.  He reads directly from his notes, occasionally stopping for a poorly-explained proof or example.  Zaidan completely failed to keep my interest--I found the textbook to be far more interesting.  Furthermore, provided practice exams were nothing like the actual tests, which most of the class did exceedingly poor on.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2023-08-11 03:21:23 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"73ccb5ce9bd1e9701e9d8107\",\"instructor_id\":\"rmp:2923961\",\"instructor_name\":\"Zaidan Wu\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM4MTU5MDA2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2923961\"},{\"comment\":\"He's like the AI voice assistant on PDFs - literally reads straight from the textbook, only in a Russian accent. He's quite uninspiring and did not make this class enjoyable whatsoever. The class isn't too hard though tbh\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2025-05-09 19:44:04 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"d399858420ac9b9f7bd7bf16\",\"instructor_id\":\"rmp:620540\",\"instructor_name\":\"Mikhail Feldman\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTQxMjI5MzM0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/620540\"},{\"comment\":\"Sarrah is a great, very intelligent mathematician. She, however, is not a great lecturer. She cares deeply about her students and the content she teaches, but she does not deliver good lectures. I recommend her if you care about her research (she has a great cv), but otherwise not a great teacher. Some other ratings are too harsh.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2025-11-24 18:32:44 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"b914af2c507e88343301601d\",\"instructor_id\":\"rmp:2953115\",\"instructor_name\":\"Sarah Tammen\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTQxOTQyMTk4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2953115\"},{\"comment\":\"Chenxi should not teach undergrads, but don't be too scared of his low rating. He goes way too deep into the theory, given what is on the homework on exams, but he cares a lot about his students and asks for a lot of feedback. His lectures are confusing, but he can come up with examples on the spot if you ask him, which helps clarify things. \",\"course_id\":\"MATH/STAT 431\",\"date\":\"2025-12-17 23:33:42 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"37ba7a3d6e31da80b9779916\",\"instructor_id\":\"rmp:2652881\",\"instructor_name\":\"Chenxi Wu\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQyMzE4Njcz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2652881\"}],\"evidence_count\":9,\"review_ids\":[\"bcf6e28ede049cad282e5e0d\",\"bf76bb6359d48a444478b66d\",\"3e844848694a370ca07d1e59\",\"a0051415f3fbe92ea966cd49\",\"9bc879e59f83ea82527526df\",\"73ccb5ce9bd1e9701e9d8107\",\"d399858420ac9b9f7bd7bf16\",\"b914af2c507e88343301601d\",\"37ba7a3d6e31da80b9779916\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:167023\",\"name\":\"Stephen Wainger\"},{\"id\":\"rmp:1671306\",\"name\":\"Samuel Stechmann\"},{\"id\":\"rmp:1912162\",\"name\":\"Howard Becker\"},{\"id\":\"rmp:2652881\",\"name\":\"Chenxi Wu\"},{\"id\":\"rmp:2697840\",\"name\":\"Dohyun Kwon\"},{\"id\":\"rmp:2923961\",\"name\":\"Zaidan Wu\"},{\"id\":\"rmp:2953115\",\"name\":\"Sarah Tammen\"},{\"id\":\"rmp:620540\",\"name\":\"Mikhail Feldman\"},{\"id\":\"rmp:890956\",\"name\":\"Alexander Kiselev\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2009\"},\"sentiment\":\"mixed\",\"summary\":\"Teaching quality varies significantly by instructor; some are praised for clear, engaging lectures while others are criticized for reading from textbooks, having poor handwriting, or failing to explain concepts.\"},{\"aspect\":\"assessment\",\"evidence\":[{\"comment\":\"I enjoyed his lectures-he explained the basic concepts and was quite enthusiastic. However, I would have enjoyed doing more examples, as the homework was graded and extremely difficult. The exams were difficult, but certainly doable if you put the effort in (which is  a lot, by the way). I can't blame him personally because the material was tough.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2012-05-14 12:49:57 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"84be97aa3358545237681640\",\"instructor_id\":\"rmp:2767107\",\"instructor_name\":\"Joseph Miller\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIwMjc2Mzc3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2767107\"},{\"comment\":\"Zaidan is a horrific lecturer.  He reads directly from his notes, occasionally stopping for a poorly-explained proof or example.  Zaidan completely failed to keep my interest--I found the textbook to be far more interesting.  Furthermore, provided practice exams were nothing like the actual tests, which most of the class did exceedingly poor on.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2023-08-11 03:21:23 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"73ccb5ce9bd1e9701e9d8107\",\"instructor_id\":\"rmp:2923961\",\"instructor_name\":\"Zaidan Wu\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM4MTU5MDA2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2923961\"},{\"comment\":\"Well, it is very complicated to determine whether it is a good or bad class. It is very true that he is a responsible lecturer. He is super nice and caring. His lecture is clear. However he does make the final extremely challenging. It felt like he intentionally make the exam hard so that everyone fails this class. The reviews are very misguiding.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2023-05-15 07:11:06 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"8bf71a3f190fe0ab30817b9a\",\"instructor_id\":\"rmp:2643061\",\"instructor_name\":\"Erik Bates\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTM3OTI0ODMz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2643061\"},{\"comment\":\"Good professor teaching a horrible class. Professor was funny and lectures were in-depth, but exams were very challenging. \",\"course_id\":\"MATH/STAT 431\",\"date\":\"2025-02-03 22:18:43 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"486841852ce5575769effe10\",\"instructor_id\":\"rmp:2680569\",\"instructor_name\":\"Mikhail Ivanov\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQwNjM1MDc0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2680569\"}],\"evidence_count\":4,\"review_ids\":[\"84be97aa3358545237681640\",\"73ccb5ce9bd1e9701e9d8107\",\"8bf71a3f190fe0ab30817b9a\",\"486841852ce5575769effe10\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:2643061\",\"name\":\"Erik Bates\"},{\"id\":\"rmp:2680569\",\"name\":\"Mikhail Ivanov\"},{\"id\":\"rmp:2767107\",\"name\":\"Joseph Miller\"},{\"id\":\"rmp:2923961\",\"name\":\"Zaidan Wu\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2012\"},\"sentiment\":\"mixed\",\"summary\":\"Exams are frequently described as difficult and challenging, with some students noting that practice exams do not accurately reflect the difficulty of actual tests.\"},{\"aspect\":\"workload\",\"evidence\":[{\"comment\":\"A. Fish is a good guy and wants his students to learn.  Although Probability was a difficult course he tried to get everyone to learn.  Homework was hard but always helpful in office hours.  He gave practice questions for each exam and was generous in grading.  Study your notes and do a lot of problems on your own and you will do fine like me :)\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2010-05-06 15:14:23 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"84c7002abb357bfd383037aa\",\"instructor_id\":\"rmp:1326966\",\"instructor_name\":\"Alexander Fish\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTE3MTM3OTEy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1326966\"},{\"comment\":\"I enjoyed his lectures-he explained the basic concepts and was quite enthusiastic. However, I would have enjoyed doing more examples, as the homework was graded and extremely difficult. The exams were difficult, but certainly doable if you put the effort in (which is  a lot, by the way). I can't blame him personally because the material was tough.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2012-05-14 12:49:57 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"84be97aa3358545237681640\",\"instructor_id\":\"rmp:2767107\",\"instructor_name\":\"Joseph Miller\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIwMjc2Mzc3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2767107\"},{\"comment\":\"Okay professor. When I went to his office hours, he just ran through the problems in a very theoretical way, which was not helpful. I got a bad grade on one exam and it screwed me over for the course. Be prepared to do a lot of reading on your own. He crammed a ton of info in the last 2 weeks because he ran out of time. Overall, not bad, not great.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2010-12-22 01:18:48 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"bf76bb6359d48a444478b66d\",\"instructor_id\":\"rmp:890956\",\"instructor_name\":\"Alexander Kiselev\",\"quality_rating\":2,\"source_review_id\":\"UmF0aW5nLTE4MDIwNDM5\",\"source_url\":\"https://www.ratemyprofessors.com/professor/890956\"}],\"evidence_count\":3,\"review_ids\":[\"84c7002abb357bfd383037aa\",\"84be97aa3358545237681640\",\"bf76bb6359d48a444478b66d\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1326966\",\"name\":\"Alexander Fish\"},{\"id\":\"rmp:2767107\",\"name\":\"Joseph Miller\"},{\"id\":\"rmp:890956\",\"name\":\"Alexander Kiselev\"}],\"review_year_end\":\"2012\",\"review_year_start\":\"2010\"},\"sentiment\":\"mixed\",\"summary\":\"The course requires significant independent study and effort, with homework often described as hard or extremely difficult, though some instructors provide helpful office hours and practice materials.\"}]}","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_dcdb624e3fb8cbaf9a557ab9","course_id":"MATH/STAT 431","catalog_version_id":"8a8476e811370957639e86935b80babca16b86cee1253dd4a3bfe7fbd7898fb5","record_version_id":"835a22e0bd61f42d2897a7628c739589cb6cc32068df66c377d64c3a3ed99391","job_id":"enrich-6556a505c10f448d98d02466","output_id":"855927ba812befe91b7659478d6848361c13b9886f4a7693c61c5efeb687870c","section":"requirements","status":"invalid","value_json":null,"candidate_json":"{\"nodes\":[{\"children\":[\"req_any_1\"],\"condition\":null,\"course\":null,\"evidence\":\"MATH 234or376or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program\",\"id\":\"root_all\",\"kind\":\"all\"},{\"children\":[\"course_m234\",\"course_m376\",\"cond_grad_standing\",\"cond_premaster\"],\"condition\":null,\"course\":null,\"evidence\":\"MATH 234or376or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program\",\"id\":\"req_any_1\",\"kind\":\"any\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":234,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"MATH 234\",\"id\":\"course_m234\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":376,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"376\",\"id\":\"course_m376\",\"kind\":\"course\"},{\"children\":[],\"condition\":\"graduate/professional standing\",\"course\":null,\"evidence\":\"graduate/professional standing\",\"id\":\"cond_grad_standing\",\"kind\":\"condition\"},{\"children\":[],\"condition\":\"member of the Pre-Masters Mathematics (Visiting International) Program\",\"course\":null,\"evidence\":\"member of the Pre-Masters Mathematics (Visiting International) Program\",\"id\":\"cond_premaster\",\"kind\":\"condition\"}],\"notes\":[\"The source text uses 'or' repeatedly without punctuation, interpreted as a single disjunction of four alternatives: MATH 234, MATH 376, graduate/professional standing, or membership in the Pre-Masters Mathematics (Visiting International) P\"],\"root\":\"root_all\",\"status\":\"needs_review\"}","error":"Boolean groups require at least two children","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_dcdb624e3fb8cbaf9a557ab9","course_id":"MATH/STAT 431","catalog_version_id":"8a8476e811370957639e86935b80babca16b86cee1253dd4a3bfe7fbd7898fb5","record_version_id":"835a22e0bd61f42d2897a7628c739589cb6cc32068df66c377d64c3a3ed99391","job_id":"enrich-6556a505c10f448d98d02466","output_id":"855927ba812befe91b7659478d6848361c13b9886f4a7693c61c5efeb687870c","section":"search_profile","status":"valid","value_json":"{\"activity_tags\":[{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"official_learning_outcomes\",\"outcome_index\":0,\"quote\":\"Recall and state the formal definitions of the mathematical objects and their properties used in probability theory (e.g., probability spaces, random variables and random vectors and their probability distributions, named distributions, conditional probability, independence, linearity of expectation, etc.).\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"},{\"course_id\":\"MATH/STAT 431\",\"field\":\"official_learning_outcomes\",\"outcome_index\":4,\"quote\":\"Construct mathematical arguments related to the above definitions, properties, and theorems, including the construction of examples and counterexamples.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"label\":\"mathematical-reasoning\"}],\"assumed_background\":[],\"search_phrases\":[\"probability theory\",\"random variables\",\"central limit theorem\",\"discrete and continuous distributions\",\"moment generating functions\",\"conditional expectation\"],\"skills_taught\":[{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"Topics covered include axioms of probability, random variables, the most important discrete and continuous probability distributions, expectation and variance, moment generating functions, conditional probability and conditional expectations, multivariate distributions, Markov's and Chebyshev's inequalities, laws of large numbers, and the central limit theorem.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Formal probability theory concepts including axioms, distributions, expectation, and limit theorems.\"},{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"official_learning_outcomes\",\"outcome_index\":2,\"quote\":\"Recall and state the standard theorems of probability theory. (e.g., Bayes' theorem, the law of large numbers, the central limit theorem, etc.), and apply these theorems to solve problems in probability theory.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Application of standard probability theorems to solve problems.\"},{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"official_learning_outcomes\",\"outcome_index\":3,\"quote\":\"Use multiple approaches to compute and estimate probabilities and expectations (e.g., using the indicator method, using conditioning, estimating probabilities using normal or Poisson approximation etc.).\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Computing and estimating probabilities and expectations using various methods.\"}],\"summary\":{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"title\",\"quote\":\"INTRODUCTION TO THE THEORY OF PROBABILITY\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"},{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"Topics covered include axioms of probability, random variables, the most important discrete and continuous probability distributions, expectation and variance, moment generating functions, conditional probability and conditional expectations, multivariate distributions, Markov's and Chebyshev's inequalities, laws of large numbers, and the central limit theorem.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Introduction to the Theory of Probability covering axioms, random variables, distributions, expectation, conditional probability, multivariate distributions, inequalities, and limit theorems.\"},\"topics\":[{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"axioms of probability, random variables, the most important discrete and continuous probability distributions, expectation and variance, moment generating functions, conditional probability and conditional expectations, multivariate distributions, Markov's and Chebyshev's inequalities, laws of large numbers, and the central limit theorem\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Axioms of probability, random variables, discrete and continuous distributions, expectation, variance, moment generating functions, conditional probability, multivariate distributions, inequalities, laws of large numbers, and the central\"}]}","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_dcdb624e3fb8cbaf9a557ab9","course_id":"MATH/STAT 431","catalog_version_id":"8a8476e811370957639e86935b80babca16b86cee1253dd4a3bfe7fbd7898fb5","record_version_id":"835a22e0bd61f42d2897a7628c739589cb6cc32068df66c377d64c3a3ed99391","job_id":"enrich-6556a505c10f448d98d02466","output_id":"855927ba812befe91b7659478d6848361c13b9886f4a7693c61c5efeb687870c","section":"student_experience","status":"valid","value_json":"{\"status\":\"supported\",\"themes\":[{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"Awful teacher. He really wants his students to learn the material, but he simply can't teach...at all. He routinely makes mistakes without correcting them, never explains anything conceptually, calls students out for looking at their notebook and writing instead of watching the board. Messed up grading both my midterms by over a whole grade (final?\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2009-12-20 15:05:48 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"bcf6e28ede049cad282e5e0d\",\"instructor_id\":\"rmp:167023\",\"instructor_name\":\"Stephen Wainger\",\"quality_rating\":2,\"source_review_id\":\"UmF0aW5nLTE2NjA5Njk1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/167023\"}],\"evidence_count\":1,\"review_ids\":[\"bcf6e28ede049cad282e5e0d\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:167023\",\"name\":\"Stephen Wainger\"}],\"review_year_end\":\"2009\",\"review_year_start\":\"2009\"},\"sentiment\":\"negative\",\"subject_instructor_id\":\"rmp:167023\",\"summary\":\"Reviewers criticize Stephen Wainger for making mistakes without correction and failing to explain concepts clearly.\"},{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"It's a shame David is retiring, but he is by far one of the best math teachers anyone can have. He has great stories to explain the topics. Makes the class fun and interesting. GO TO OFFICE HOURS and you'll be fine.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2011-01-08 16:18:52 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"d8e9c78eae2fcd90fb6a08cf\",\"instructor_id\":\"rmp:266740\",\"instructor_name\":\"David Griffeath\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTE4MTAzMjkw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/266740\"}],\"evidence_count\":1,\"review_ids\":[\"d8e9c78eae2fcd90fb6a08cf\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:266740\",\"name\":\"David Griffeath\"}],\"review_year_end\":\"2011\",\"review_year_start\":\"2011\"},\"sentiment\":\"positive\",\"subject_instructor_id\":\"rmp:266740\",\"summary\":\"Cited reviews praise David Griffeath for using great stories to explain topics and making the class fun and interesting.\"},{\"aspect\":\"assessment\",\"evidence\":[{\"comment\":\"Zaidan is a horrific lecturer.  He reads directly from his notes, occasionally stopping for a poorly-explained proof or example.  Zaidan completely failed to keep my interest--I found the textbook to be far more interesting.  Furthermore, provided practice exams were nothing like the actual tests, which most of the class did exceedingly poor on.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2023-08-11 03:21:23 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"73ccb5ce9bd1e9701e9d8107\",\"instructor_id\":\"rmp:2923961\",\"instructor_name\":\"Zaidan Wu\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM4MTU5MDA2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2923961\"}],\"evidence_count\":1,\"review_ids\":[\"73ccb5ce9bd1e9701e9d8107\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:2923961\",\"name\":\"Zaidan Wu\"}],\"review_year_end\":\"2023\",\"review_year_start\":\"2023\"},\"sentiment\":\"negative\",\"subject_instructor_id\":\"rmp:2923961\",\"summary\":\"One reviewer states that practice exams provided by Zaidan Wu were nothing like the actual tests, leading to poor performance.\"},{\"aspect\":\"overall\",\"evidence\":[{\"comment\":\"Absolute gem in the math department. Oasis in the desert. Very understanding and flexible. Very accomodating with your specific needs. Lectures are to the point. Homeworks are fair and often out of the book. Gives extensions if you need it. Exams are easy, based on practice exams. 100% recommend for 431 if you have the chance.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2021-04-23 12:27:20 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"560cc72de3d6c19e7e307313\",\"instructor_id\":\"rmp:2674823\",\"instructor_name\":\"Hao Shen\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTM0NjA3OTc1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2674823\"}],\"evidence_count\":1,\"review_ids\":[\"560cc72de3d6c19e7e307313\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:2674823\",\"name\":\"Hao Shen\"}],\"review_year_end\":\"2021\",\"review_year_start\":\"2021\"},\"sentiment\":\"positive\",\"subject_instructor_id\":\"rmp:2674823\",\"summary\":\"Cited reviews recommend Hao Shen for being understanding, flexible, and providing fair homework and easy exams based on practice materials.\"},{\"aspect\":\"workload\",\"evidence\":[{\"comment\":\"A. Fish is a good guy and wants his students to learn.  Although Probability was a difficult course he tried to get everyone to learn.  Homework was hard but always helpful in office hours.  He gave practice questions for each exam and was generous in grading.  Study your notes and do a lot of problems on your own and you will do fine like me :)\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2010-05-06 15:14:23 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"84c7002abb357bfd383037aa\",\"instructor_id\":\"rmp:1326966\",\"instructor_name\":\"Alexander Fish\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTE3MTM3OTEy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1326966\"}],\"evidence_count\":1,\"review_ids\":[\"84c7002abb357bfd383037aa\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1326966\",\"name\":\"Alexander Fish\"}],\"review_year_end\":\"2010\",\"review_year_start\":\"2010\"},\"sentiment\":\"mixed\",\"subject_instructor_id\":\"rmp:1326966\",\"summary\":\"Alexander Fish is described as generous in grading, but reviewers note the homework was hard and required significant independent effort.\"},{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"Timo is amazing! Sometimes, when struggling with a problem, I would email him, and his only comment would be something like \\\"Think back to how we did it in class\\\". This problem, which I'd tried to solve for hours by the time I sent the email, would become trivial. He's just that good of a teacher. The textbook is also one of the best I've used.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2017-03-24 16:07:07 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"9d3c9595a4624b8b57d81e0a\",\"instructor_id\":\"rmp:1006782\",\"instructor_name\":\"Timo Seppalainen\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI3OTQ0MDU0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1006782\"}],\"evidence_count\":1,\"review_ids\":[\"9d3c9595a4624b8b57d81e0a\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1006782\",\"name\":\"Timo Seppalainen\"}],\"review_year_end\":\"2017\",\"review_year_start\":\"2017\"},\"sentiment\":\"positive\",\"subject_instructor_id\":\"rmp:1006782\",\"summary\":\"Timo Seppalainen is praised for his teaching ability, with one reviewer noting that his guidance made difficult problems become trivial.\"}]}","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_dcdb624e3fb8cbaf9a557ab9","course_id":"MATH/STAT 431","catalog_version_id":"8a8476e811370957639e86935b80babca16b86cee1253dd4a3bfe7fbd7898fb5","record_version_id":"835a22e0bd61f42d2897a7628c739589cb6cc32068df66c377d64c3a3ed99391","job_id":"enrich-79348710a077dbb34341f483","output_id":"f46a769135cbec201661a19956ff82ae5367e4594046ea96e0403a7cd24a9f23","section":"requirements","status":"needs_review","value_json":"{\"nodes\":[{\"children\":[\"course_m234\",\"course_m376\",\"cond_grad_standing\",\"cond_premaster\"],\"condition\":null,\"course\":null,\"evidence\":\"MATH 234or376or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program\",\"id\":\"req_any_root\",\"kind\":\"any\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":234,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"MATH 234\",\"id\":\"course_m234\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":376,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"376\",\"id\":\"course_m376\",\"kind\":\"course\"},{\"children\":[],\"condition\":\"graduate/professional standing\",\"course\":null,\"evidence\":\"graduate/professional standing\",\"id\":\"cond_grad_standing\",\"kind\":\"condition\"},{\"children\":[],\"condition\":\"member of the Pre-Masters Mathematics (Visiting International) Program\",\"course\":null,\"evidence\":\"member of the Pre-Masters Mathematics (Visiting International) Program\",\"id\":\"cond_premaster\",\"kind\":\"condition\"}],\"notes\":[\"Interpreted the unpunctuated 'or' chain as a single disjunction of four alternatives.\",\"No minimum grade is specified for MATH 234 or MATH 376.\"],\"root\":\"req_any_root\",\"status\":\"parsed\"}","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_dcdb624e3fb8cbaf9a557ab9","course_id":"MATH/STAT 431","catalog_version_id":"8a8476e811370957639e86935b80babca16b86cee1253dd4a3bfe7fbd7898fb5","record_version_id":"835a22e0bd61f42d2897a7628c739589cb6cc32068df66c377d64c3a3ed99391","job_id":"enrich-79348710a077dbb34341f483","output_id":"f46a769135cbec201661a19956ff82ae5367e4594046ea96e0403a7cd24a9f23","section":"search_profile","status":"valid","value_json":"{\"activity_tags\":[{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"official_learning_outcomes\",\"outcome_index\":0,\"quote\":\"Recall and state the formal definitions of the mathematical objects and their properties used in probability theory (e.g., probability spaces, random variables and random vectors and their probability distributions, named distributions, conditional probability, independence, linearity of expectation, etc.).\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"},{\"course_id\":\"MATH/STAT 431\",\"field\":\"official_learning_outcomes\",\"outcome_index\":4,\"quote\":\"Construct mathematical arguments related to the above definitions, properties, and theorems, including the construction of examples and counterexamples.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"label\":\"mathematical-reasoning\"}],\"assumed_background\":[],\"search_phrases\":[\"probability theory\",\"random variables\",\"central limit theorem\",\"discrete and continuous distributions\",\"moment generating functions\",\"conditional expectation\"],\"skills_taught\":[{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"Topics covered include axioms of probability, random variables, the most important discrete and continuous probability distributions, expectation and variance, moment generating functions, conditional probability and conditional expectations, multivariate distributions, Markov's and Chebyshev's inequalities, laws of large numbers, and the central limit theorem.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Formal probability theory concepts including axioms, distributions, expectation, and limit theorems.\"},{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"official_learning_outcomes\",\"outcome_index\":2,\"quote\":\"Recall and state the standard theorems of probability theory. (e.g., Bayes' theorem, the law of large numbers, the central limit theorem, etc.), and apply these theorems to solve problems in probability theory.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Application of standard probability theorems to solve problems.\"},{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"official_learning_outcomes\",\"outcome_index\":3,\"quote\":\"Use multiple approaches to compute and estimate probabilities and expectations (e.g., using the indicator method, using conditioning, estimating probabilities using normal or Poisson approximation etc.).\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Computing and estimating probabilities and expectations using various methods.\"}],\"summary\":{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"title\",\"quote\":\"INTRODUCTION TO THE THEORY OF PROBABILITY\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"},{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"Topics covered include axioms of probability, random variables, the most important discrete and continuous probability distributions, expectation and variance, moment generating functions, conditional probability and conditional expectations, multivariate distributions, Markov's and Chebyshev's inequalities, laws of large numbers, and the central limit theorem.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Introduction to the Theory of Probability covering axioms, random variables, distributions, expectation, conditional probability, multivariate distributions, inequalities, and limit theorems.\"},\"topics\":[{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"axioms of probability, random variables, the most important discrete and continuous probability distributions, expectation and variance, moment generating functions, conditional probability and conditional expectations, multivariate distributions, Markov's and Chebyshev's inequalities, laws of large numbers, and the central limit theorem\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Axioms of probability, random variables, discrete and continuous distributions, expectation, variance, moment generating functions, conditional probability, multivariate distributions, inequalities, laws of large numbers, and the central\"}]}","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_dcdb624e3fb8cbaf9a557ab9","course_id":"MATH/STAT 431","catalog_version_id":"8a8476e811370957639e86935b80babca16b86cee1253dd4a3bfe7fbd7898fb5","record_version_id":"835a22e0bd61f42d2897a7628c739589cb6cc32068df66c377d64c3a3ed99391","job_id":"enrich-79348710a077dbb34341f483","output_id":"f46a769135cbec201661a19956ff82ae5367e4594046ea96e0403a7cd24a9f23","section":"student_experience","status":"valid","value_json":"{\"status\":\"supported\",\"themes\":[{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"Awful teacher. He really wants his students to learn the material, but he simply can't teach...at all. He routinely makes mistakes without correcting them, never explains anything conceptually, calls students out for looking at their notebook and writing instead of watching the board. Messed up grading both my midterms by over a whole grade (final?\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2009-12-20 15:05:48 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"bcf6e28ede049cad282e5e0d\",\"instructor_id\":\"rmp:167023\",\"instructor_name\":\"Stephen Wainger\",\"quality_rating\":2,\"source_review_id\":\"UmF0aW5nLTE2NjA5Njk1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/167023\"}],\"evidence_count\":1,\"review_ids\":[\"bcf6e28ede049cad282e5e0d\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:167023\",\"name\":\"Stephen Wainger\"}],\"review_year_end\":\"2009\",\"review_year_start\":\"2009\"},\"sentiment\":\"negative\",\"subject_instructor_id\":\"rmp:167023\",\"summary\":\"Reviewers criticize Stephen Wainger for making mistakes without correction and failing to explain concepts clearly.\"},{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"It's a shame David is retiring, but he is by far one of the best math teachers anyone can have. He has great stories to explain the topics. Makes the class fun and interesting. GO TO OFFICE HOURS and you'll be fine.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2011-01-08 16:18:52 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"d8e9c78eae2fcd90fb6a08cf\",\"instructor_id\":\"rmp:266740\",\"instructor_name\":\"David Griffeath\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTE4MTAzMjkw\",\"source_url\":\"https://www.ratemyprofessors.com/professor/266740\"}],\"evidence_count\":1,\"review_ids\":[\"d8e9c78eae2fcd90fb6a08cf\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:266740\",\"name\":\"David Griffeath\"}],\"review_year_end\":\"2011\",\"review_year_start\":\"2011\"},\"sentiment\":\"positive\",\"subject_instructor_id\":\"rmp:266740\",\"summary\":\"Cited reviews praise David Griffeath for using great stories to explain topics and making the class fun and interesting.\"},{\"aspect\":\"assessment\",\"evidence\":[{\"comment\":\"Zaidan is a horrific lecturer.  He reads directly from his notes, occasionally stopping for a poorly-explained proof or example.  Zaidan completely failed to keep my interest--I found the textbook to be far more interesting.  Furthermore, provided practice exams were nothing like the actual tests, which most of the class did exceedingly poor on.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2023-08-11 03:21:23 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"73ccb5ce9bd1e9701e9d8107\",\"instructor_id\":\"rmp:2923961\",\"instructor_name\":\"Zaidan Wu\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM4MTU5MDA2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2923961\"}],\"evidence_count\":1,\"review_ids\":[\"73ccb5ce9bd1e9701e9d8107\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:2923961\",\"name\":\"Zaidan Wu\"}],\"review_year_end\":\"2023\",\"review_year_start\":\"2023\"},\"sentiment\":\"negative\",\"subject_instructor_id\":\"rmp:2923961\",\"summary\":\"One reviewer states that practice exams provided by Zaidan Wu were nothing like the actual tests, leading to poor performance.\"},{\"aspect\":\"overall\",\"evidence\":[{\"comment\":\"Absolute gem in the math department. Oasis in the desert. Very understanding and flexible. Very accomodating with your specific needs. Lectures are to the point. Homeworks are fair and often out of the book. Gives extensions if you need it. Exams are easy, based on practice exams. 100% recommend for 431 if you have the chance.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2021-04-23 12:27:20 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"560cc72de3d6c19e7e307313\",\"instructor_id\":\"rmp:2674823\",\"instructor_name\":\"Hao Shen\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTM0NjA3OTc1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2674823\"}],\"evidence_count\":1,\"review_ids\":[\"560cc72de3d6c19e7e307313\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:2674823\",\"name\":\"Hao Shen\"}],\"review_year_end\":\"2021\",\"review_year_start\":\"2021\"},\"sentiment\":\"positive\",\"subject_instructor_id\":\"rmp:2674823\",\"summary\":\"Cited reviews recommend Hao Shen for being understanding, flexible, and providing fair homework and easy exams based on practice materials.\"},{\"aspect\":\"workload\",\"evidence\":[{\"comment\":\"A. Fish is a good guy and wants his students to learn.  Although Probability was a difficult course he tried to get everyone to learn.  Homework was hard but always helpful in office hours.  He gave practice questions for each exam and was generous in grading.  Study your notes and do a lot of problems on your own and you will do fine like me :)\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2010-05-06 15:14:23 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"84c7002abb357bfd383037aa\",\"instructor_id\":\"rmp:1326966\",\"instructor_name\":\"Alexander Fish\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTE3MTM3OTEy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1326966\"}],\"evidence_count\":1,\"review_ids\":[\"84c7002abb357bfd383037aa\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1326966\",\"name\":\"Alexander Fish\"}],\"review_year_end\":\"2010\",\"review_year_start\":\"2010\"},\"sentiment\":\"mixed\",\"subject_instructor_id\":\"rmp:1326966\",\"summary\":\"Alexander Fish is described as generous in grading, but reviewers note the homework was hard and required significant independent effort.\"},{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"Timo is amazing! Sometimes, when struggling with a problem, I would email him, and his only comment would be something like \\\"Think back to how we did it in class\\\". This problem, which I'd tried to solve for hours by the time I sent the email, would become trivial. He's just that good of a teacher. The textbook is also one of the best I've used.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2017-03-24 16:07:07 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"9d3c9595a4624b8b57d81e0a\",\"instructor_id\":\"rmp:1006782\",\"instructor_name\":\"Timo Seppalainen\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTI3OTQ0MDU0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1006782\"}],\"evidence_count\":1,\"review_ids\":[\"9d3c9595a4624b8b57d81e0a\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1006782\",\"name\":\"Timo Seppalainen\"}],\"review_year_end\":\"2017\",\"review_year_start\":\"2017\"},\"sentiment\":\"positive\",\"subject_instructor_id\":\"rmp:1006782\",\"summary\":\"Timo Seppalainen is praised for his teaching ability, with one reviewer noting that his guidance made difficult problems become trivial.\"}]}","candidate_json":null,"error":null,"model":"Qwen/Qwen3.8-27B","model_revision":"1d4bf0f2ff6012fd82039f2fa52739d0dd7c60c0","selected_for_release":false},{"run_id":"20260907T155543-ce3781c4","observed_at":"2026-09-07 15:55:43.033547+00:00","course_uid":"course_dcdb624e3fb8cbaf9a557ab9","course_id":"MATH/STAT 431","catalog_version_id":"ce6975f420b1fb22081f8474141bbaa1218ba4338dd9f4a39b28057273e58f71","record_version_id":"861dca24ee0116ab177860a9e40e9d7321e61f0ef8d28ab80fa35bdbf22fbd68","job_id":"enrich-8b774950c2b6adfdc46d1b82","output_id":"46fdc6dcf25c7dd86af839fc601eeea9cf5d64fc135e4d37c65f8941222ff510","section":"requirements","status":"valid","value_json":"{\"nodes\":[{\"children\":[\"n1\",\"n2\",\"n3\",\"n4\"],\"condition\":null,\"course\":null,\"evidence\":\"MATH 234or376or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program\",\"id\":\"n0\",\"kind\":\"any\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":234,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"MATH 234\",\"id\":\"n1\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":376,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"376\",\"id\":\"n2\",\"kind\":\"course\"},{\"children\":[],\"condition\":\"graduate/professional standing\",\"course\":null,\"evidence\":\"graduate/professional standing\",\"id\":\"n3\",\"kind\":\"condition\"},{\"children\":[],\"condition\":\"member of the Pre-Masters Mathematics (Visiting International) Program\",\"course\":null,\"evidence\":\"member of the Pre-Masters Mathematics (Visiting International) Program\",\"id\":\"n4\",\"kind\":\"condition\"}],\"notes\":[\"MATH 234 and MATH 376 are linked courses with valid identities.\"],\"root\":\"n0\",\"status\":\"parsed\"}","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_dcdb624e3fb8cbaf9a557ab9","course_id":"MATH/STAT 431","catalog_version_id":"ce6975f420b1fb22081f8474141bbaa1218ba4338dd9f4a39b28057273e58f71","record_version_id":"861dca24ee0116ab177860a9e40e9d7321e61f0ef8d28ab80fa35bdbf22fbd68","job_id":"enrich-8b774950c2b6adfdc46d1b82","output_id":"46fdc6dcf25c7dd86af839fc601eeea9cf5d64fc135e4d37c65f8941222ff510","section":"search_profile","status":"valid","value_json":"{\"assumed_background\":[{\"evidence\":[{\"course_id\":\"MATH 234\",\"field\":\"requirements_text\",\"quote\":\"MATH 222\"},{\"course_id\":\"MATH 376\",\"field\":\"requirements_text\",\"quote\":\"MATH 375\"}],\"text\":\"Calculus of functions of several variables and differential equations\"}],\"search_phrases\":[\"probability theory axioms\",\"random variables distributions\",\"central limit theorem\",\"multivariate distributions\",\"moment generating functions\"],\"skills_taught\":[{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"axioms of probability, random variables, the most important discrete and continuous probability distributions, expectation and variance, moment generating functions, conditional probability and conditional expectations, multivariate distributions, Markov's and Chebyshev's inequalities, laws of large numbers, and the central limit theorem\"}],\"text\":\"Probability theory and statistical distributions\"},{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"conditional probability and conditional expectations\"}],\"text\":\"Conditional probability and expectations\"},{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"Markov's and Chebyshev's inequalities, laws of large numbers, and the central limit theorem\"}],\"text\":\"Limit theorems and inequalities\"}],\"summary\":{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"title\",\"quote\":\"INTRODUCTION TO THE THEORY OF PROBABILITY\"},{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"Topics covered include axioms of probability, random variables, the most important discrete and continuous probability distributions\"}],\"text\":\"Introduction to the theory of probability covering axioms, distributions, and limit theorems\"},\"topics\":[{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"axioms of probability, random variables, the most important discrete and continuous probability distributions, expectation and variance, moment generating functions, conditional probability and conditional expectations, multivariate distributions, Markov's and Chebyshev's inequalities, laws of large numbers, and the central limit theorem\"}],\"text\":\"Probability axioms, random variables, and distributions\"}]}","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_dcdb624e3fb8cbaf9a557ab9","course_id":"MATH/STAT 431","catalog_version_id":"ce6975f420b1fb22081f8474141bbaa1218ba4338dd9f4a39b28057273e58f71","record_version_id":"861dca24ee0116ab177860a9e40e9d7321e61f0ef8d28ab80fa35bdbf22fbd68","job_id":"enrich-8b774950c2b6adfdc46d1b82","output_id":"46fdc6dcf25c7dd86af839fc601eeea9cf5d64fc135e4d37c65f8941222ff510","section":"student_experience","status":"valid","value_json":"{\"status\":\"supported\",\"themes\":[{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"Awful teacher. He really wants his students to learn the material, but he simply can't teach...at all. He routinely makes mistakes without correcting them, never explains anything conceptually, calls students out for looking at their notebook and writing instead of watching the board. Messed up grading both my midterms by over a whole grade (final?\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2009-12-20 15:05:48 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"bcf6e28ede049cad282e5e0d\",\"instructor_id\":\"rmp:167023\",\"instructor_name\":\"Stephen Wainger\",\"quality_rating\":2,\"source_review_id\":\"UmF0aW5nLTE2NjA5Njk1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/167023\"},{\"comment\":\"Okay professor. When I went to his office hours, he just ran through the problems in a very theoretical way, which was not helpful. I got a bad grade on one exam and it screwed me over for the course. Be prepared to do a lot of reading on your own. He crammed a ton of info in the last 2 weeks because he ran out of time. Overall, not bad, not great.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2010-12-22 01:18:48 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"bf76bb6359d48a444478b66d\",\"instructor_id\":\"rmp:890956\",\"instructor_name\":\"Alexander Kiselev\",\"quality_rating\":2,\"source_review_id\":\"UmF0aW5nLTE4MDIwNDM5\",\"source_url\":\"https://www.ratemyprofessors.com/professor/890956\"},{\"comment\":\"awful handwriting. lectures are exactly following the textbook which means if u can learn well by uself from the book, u probably can get a good grade. Exams are a little bit hard due to combining the knowledge of previous maths\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2014-09-14 17:40:59 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"3e844848694a370ca07d1e59\",\"instructor_id\":\"rmp:1912162\",\"instructor_name\":\"Howard Becker\",\"quality_rating\":2,\"source_review_id\":\"UmF0aW5nLTIzNTkzMDc2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1912162\"},{\"comment\":\"He is good at lecturing however, when I go to office hours he has troubles doing homework problems. He would take a very long time trying to do them and sometimes would not even dot he problem right. He is not specific on grading especially with final grades as he takes down the website so that you can not see where your grade is at or the average.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2015-12-31 11:12:34 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"a0051415f3fbe92ea966cd49\",\"instructor_id\":\"rmp:1671306\",\"instructor_name\":\"Samuel Stechmann\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTI1ODUzNTA1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1671306\"},{\"comment\":\"His lectures are him taking notes out of the textbook, he will use exactly the same examples as the textbook. I found the textbook a good resource for the class though. He will ask for questions, wait two seconds, and then move on. Going to office hours is helpful for the homework. Practice exams were much easier than the exams. \",\"course_id\":\"MATH/STAT 431\",\"date\":\"2022-09-18 21:00:45 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"9bc879e59f83ea82527526df\",\"instructor_id\":\"rmp:2697840\",\"instructor_name\":\"Dohyun Kwon\",\"quality_rating\":2,\"source_review_id\":\"UmF0aW5nLTM2NjQ4NTk5\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2697840\"},{\"comment\":\"Zaidan is a horrific lecturer.  He reads directly from his notes, occasionally stopping for a poorly-explained proof or example.  Zaidan completely failed to keep my interest--I found the textbook to be far more interesting.  Furthermore, provided practice exams were nothing like the actual tests, which most of the class did exceedingly poor on.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2023-08-11 03:21:23 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"73ccb5ce9bd1e9701e9d8107\",\"instructor_id\":\"rmp:2923961\",\"instructor_name\":\"Zaidan Wu\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM4MTU5MDA2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2923961\"},{\"comment\":\"He's like the AI voice assistant on PDFs - literally reads straight from the textbook, only in a Russian accent. He's quite uninspiring and did not make this class enjoyable whatsoever. The class isn't too hard though tbh\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2025-05-09 19:44:04 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"d399858420ac9b9f7bd7bf16\",\"instructor_id\":\"rmp:620540\",\"instructor_name\":\"Mikhail Feldman\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTQxMjI5MzM0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/620540\"},{\"comment\":\"Sarrah is a great, very intelligent mathematician. She, however, is not a great lecturer. She cares deeply about her students and the content she teaches, but she does not deliver good lectures. I recommend her if you care about her research (she has a great cv), but otherwise not a great teacher. Some other ratings are too harsh.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2025-11-24 18:32:44 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"b914af2c507e88343301601d\",\"instructor_id\":\"rmp:2953115\",\"instructor_name\":\"Sarah Tammen\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTQxOTQyMTk4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2953115\"},{\"comment\":\"Chenxi should not teach undergrads, but don't be too scared of his low rating. He goes way too deep into the theory, given what is on the homework on exams, but he cares a lot about his students and asks for a lot of feedback. His lectures are confusing, but he can come up with examples on the spot if you ask him, which helps clarify things. \",\"course_id\":\"MATH/STAT 431\",\"date\":\"2025-12-17 23:33:42 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"37ba7a3d6e31da80b9779916\",\"instructor_id\":\"rmp:2652881\",\"instructor_name\":\"Chenxi Wu\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQyMzE4Njcz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2652881\"}],\"evidence_count\":9,\"review_ids\":[\"bcf6e28ede049cad282e5e0d\",\"bf76bb6359d48a444478b66d\",\"3e844848694a370ca07d1e59\",\"a0051415f3fbe92ea966cd49\",\"9bc879e59f83ea82527526df\",\"73ccb5ce9bd1e9701e9d8107\",\"d399858420ac9b9f7bd7bf16\",\"b914af2c507e88343301601d\",\"37ba7a3d6e31da80b9779916\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:167023\",\"name\":\"Stephen Wainger\"},{\"id\":\"rmp:1671306\",\"name\":\"Samuel Stechmann\"},{\"id\":\"rmp:1912162\",\"name\":\"Howard Becker\"},{\"id\":\"rmp:2652881\",\"name\":\"Chenxi Wu\"},{\"id\":\"rmp:2697840\",\"name\":\"Dohyun Kwon\"},{\"id\":\"rmp:2923961\",\"name\":\"Zaidan Wu\"},{\"id\":\"rmp:2953115\",\"name\":\"Sarah Tammen\"},{\"id\":\"rmp:620540\",\"name\":\"Mikhail Feldman\"},{\"id\":\"rmp:890956\",\"name\":\"Alexander Kiselev\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2009\"},\"sentiment\":\"mixed\",\"summary\":\"Teaching quality varies significantly by instructor; some are praised for clear, engaging lectures while others are criticized for reading from textbooks, having poor handwriting, or failing to explain concepts.\"},{\"aspect\":\"assessment\",\"evidence\":[{\"comment\":\"I enjoyed his lectures-he explained the basic concepts and was quite enthusiastic. However, I would have enjoyed doing more examples, as the homework was graded and extremely difficult. The exams were difficult, but certainly doable if you put the effort in (which is  a lot, by the way). I can't blame him personally because the material was tough.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2012-05-14 12:49:57 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"84be97aa3358545237681640\",\"instructor_id\":\"rmp:2767107\",\"instructor_name\":\"Joseph Miller\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIwMjc2Mzc3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2767107\"},{\"comment\":\"Zaidan is a horrific lecturer.  He reads directly from his notes, occasionally stopping for a poorly-explained proof or example.  Zaidan completely failed to keep my interest--I found the textbook to be far more interesting.  Furthermore, provided practice exams were nothing like the actual tests, which most of the class did exceedingly poor on.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2023-08-11 03:21:23 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"73ccb5ce9bd1e9701e9d8107\",\"instructor_id\":\"rmp:2923961\",\"instructor_name\":\"Zaidan Wu\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM4MTU5MDA2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2923961\"},{\"comment\":\"Well, it is very complicated to determine whether it is a good or bad class. It is very true that he is a responsible lecturer. He is super nice and caring. His lecture is clear. However he does make the final extremely challenging. It felt like he intentionally make the exam hard so that everyone fails this class. The reviews are very misguiding.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2023-05-15 07:11:06 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"8bf71a3f190fe0ab30817b9a\",\"instructor_id\":\"rmp:2643061\",\"instructor_name\":\"Erik Bates\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTM3OTI0ODMz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2643061\"},{\"comment\":\"Good professor teaching a horrible class. Professor was funny and lectures were in-depth, but exams were very challenging. \",\"course_id\":\"MATH/STAT 431\",\"date\":\"2025-02-03 22:18:43 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"486841852ce5575769effe10\",\"instructor_id\":\"rmp:2680569\",\"instructor_name\":\"Mikhail Ivanov\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQwNjM1MDc0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2680569\"}],\"evidence_count\":4,\"review_ids\":[\"84be97aa3358545237681640\",\"73ccb5ce9bd1e9701e9d8107\",\"8bf71a3f190fe0ab30817b9a\",\"486841852ce5575769effe10\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:2643061\",\"name\":\"Erik Bates\"},{\"id\":\"rmp:2680569\",\"name\":\"Mikhail Ivanov\"},{\"id\":\"rmp:2767107\",\"name\":\"Joseph Miller\"},{\"id\":\"rmp:2923961\",\"name\":\"Zaidan Wu\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2012\"},\"sentiment\":\"mixed\",\"summary\":\"Exams are frequently described as difficult and challenging, with some students noting that practice exams do not accurately reflect the difficulty of actual tests.\"},{\"aspect\":\"workload\",\"evidence\":[{\"comment\":\"A. Fish is a good guy and wants his students to learn.  Although Probability was a difficult course he tried to get everyone to learn.  Homework was hard but always helpful in office hours.  He gave practice questions for each exam and was generous in grading.  Study your notes and do a lot of problems on your own and you will do fine like me :)\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2010-05-06 15:14:23 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"84c7002abb357bfd383037aa\",\"instructor_id\":\"rmp:1326966\",\"instructor_name\":\"Alexander Fish\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTE3MTM3OTEy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1326966\"},{\"comment\":\"I enjoyed his lectures-he explained the basic concepts and was quite enthusiastic. However, I would have enjoyed doing more examples, as the homework was graded and extremely difficult. The exams were difficult, but certainly doable if you put the effort in (which is  a lot, by the way). I can't blame him personally because the material was tough.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2012-05-14 12:49:57 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"84be97aa3358545237681640\",\"instructor_id\":\"rmp:2767107\",\"instructor_name\":\"Joseph Miller\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIwMjc2Mzc3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2767107\"},{\"comment\":\"Okay professor. When I went to his office hours, he just ran through the problems in a very theoretical way, which was not helpful. I got a bad grade on one exam and it screwed me over for the course. Be prepared to do a lot of reading on your own. He crammed a ton of info in the last 2 weeks because he ran out of time. Overall, not bad, not great.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2010-12-22 01:18:48 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"bf76bb6359d48a444478b66d\",\"instructor_id\":\"rmp:890956\",\"instructor_name\":\"Alexander Kiselev\",\"quality_rating\":2,\"source_review_id\":\"UmF0aW5nLTE4MDIwNDM5\",\"source_url\":\"https://www.ratemyprofessors.com/professor/890956\"}],\"evidence_count\":3,\"review_ids\":[\"84c7002abb357bfd383037aa\",\"84be97aa3358545237681640\",\"bf76bb6359d48a444478b66d\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1326966\",\"name\":\"Alexander Fish\"},{\"id\":\"rmp:2767107\",\"name\":\"Joseph Miller\"},{\"id\":\"rmp:890956\",\"name\":\"Alexander Kiselev\"}],\"review_year_end\":\"2012\",\"review_year_start\":\"2010\"},\"sentiment\":\"mixed\",\"summary\":\"The course requires significant independent study and effort, with homework often described as hard or extremely difficult, though some instructors provide helpful office hours and practice materials.\"}]}","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_dcdb624e3fb8cbaf9a557ab9","course_id":"MATH/STAT 431","catalog_version_id":"ce6975f420b1fb22081f8474141bbaa1218ba4338dd9f4a39b28057273e58f71","record_version_id":"861dca24ee0116ab177860a9e40e9d7321e61f0ef8d28ab80fa35bdbf22fbd68","job_id":"enrich-8b774950c2b6adfdc46d1b82","output_id":"46fdc6dcf25c7dd86af839fc601eeea9cf5d64fc135e4d37c65f8941222ff510","section":"student_summary","status":"invalid","value_json":"{\"context_hash\":\"56f354abc0a47aa6ce47661d5e3bd566b77b24841d0544881d23a884dbb9f3b7\",\"course_id\":\"MATH/STAT 431\",\"current_instructors\":[{\"instructor_uid\":\"instructor_2a02136af51764ad77d8ae3b\",\"message\":\"No course-specific reviews available\",\"name\":\"Ander Aguirre Zarate\",\"review_status\":\"no_course_reviews\",\"rmp_instructor_id\":null,\"summary\":[{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":3,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1264\",\"type\":\"grade\"}],\"text\":\"Recent recorded grades — Fall 2025: 3.25 GPA, 41.2% A/AB (n=34 letter grades); Spring 2026: 3.27 GPA, 60.0% A/AB (n=30 letter grades).\"}]},{\"instructor_uid\":\"instructor_6419be81226c791349ad5519\",\"message\":\"No course-specific reviews available\",\"name\":\"Shiva Chidambaram\",\"review_status\":\"no_course_reviews\",\"rmp_instructor_id\":\"rmp:3064250\",\"summary\":[]}],\"difficulty_workload\":[],\"errors\":[{\"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/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1254\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1264\",\"type\":\"grade\"}],\"text\":\"Recent recorded grades — Spring 2025: 3.17 GPA, 46.8% A/AB (n=126 letter grades); Fall 2025: 3.26 GPA, 43.7% A/AB (n=135 letter grades); Spring 2026: 3.21 GPA, 49.5% A/AB (n=97 letter grades).\"}],\"student_experience\":[],\"task_hash\":\"74fb0997943e888960bbc9e47db8c4fd12e4292d55c20509d8d89db6a9910f68\",\"teaching_history\":[{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1074\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1082\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1112\",\"type\":\"grade\"}],\"text\":\"ALEXANDER KISELEV is recorded teaching in Spring 2007, Fall 2007, Fall 2010. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":3,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1264\",\"type\":\"grade\"}],\"text\":\"ANDER AGUIRRE ZARATE is recorded teaching in Fall 2025, Spring 2026. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1094\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1132\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1134\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1142\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":4,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1162\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1172\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1232\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1242\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1244\",\"type\":\"grade\"}],\"text\":\"BENEDEK VALKO is recorded teaching in Spring 2009, Fall 2012, Spring 2013, Fall 2013, Fall 2015, Fall 2016, Fall 2022, Fall 2023, Spring 2024. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"}],\"text\":\"CHENXI WU is recorded teaching in Fall 2025. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":4,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1172\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1174\",\"type\":\"grade\"}],\"text\":\"DANIELE CAPPELLETTI is recorded teaching in Fall 2016, Spring 2017. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1224\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1234\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":3,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1234\",\"type\":\"grade\"}],\"text\":\"ERIK BATES is recorded teaching in Spring 2022, Spring 2023. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1122\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":3,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1122\",\"type\":\"grade\"}],\"text\":\"GREGORIO MORENO-FLORES is recorded teaching in Fall 2011. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1194\",\"type\":\"grade\"}],\"text\":\"HAO SHEN is recorded teaching in Spring 2019. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1222\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1252\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":4,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1252\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1254\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1254\",\"type\":\"grade\"}],\"text\":\"MIKHAIL IVANOV is recorded teaching in Fall 2021, Fall 2024, Spring 2025. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1084\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1102\",\"type\":\"grade\"}],\"text\":\"STEPHEN WAINGER is recorded teaching in Spring 2008, Fall 2009. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1104\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":3,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1114\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":3,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1132\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1142\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":3,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1142\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1152\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1172\",\"type\":\"grade\"}],\"text\":\"TIMO SEPPALAINEN is recorded teaching in Spring 2010, Spring 2011, Fall 2012, Fall 2013, Fall 2014, Fall 2016. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1184\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":3,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1184\",\"type\":\"grade\"}],\"text\":\"XIAOQIN GUO is recorded teaching in Spring 2018. 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":"[{\"mode\": \"history\", \"instructor_uid\": null, \"error\": \"ModelAPIError: Connection error.\"}, {\"mode\": \"overview\", \"instructor_uid\": null, \"error\": \"ModelAPIError: Connection error.\"}]","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_dcdb624e3fb8cbaf9a557ab9","course_id":"MATH/STAT 431","catalog_version_id":"ce6975f420b1fb22081f8474141bbaa1218ba4338dd9f4a39b28057273e58f71","record_version_id":"861dca24ee0116ab177860a9e40e9d7321e61f0ef8d28ab80fa35bdbf22fbd68","job_id":"enrich-f516c4d3e82cfe326b4f5f54","output_id":"174b5e36b5806f3defd8762452a6ed2b91516054953517e608abcc023cd39276","section":"requirements","status":"valid","value_json":"{\"nodes\":[{\"children\":[\"n1\",\"n2\",\"n3\",\"n4\"],\"condition\":null,\"course\":null,\"evidence\":\"MATH 234or376or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program\",\"id\":\"n0\",\"kind\":\"any\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":234,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"MATH 234\",\"id\":\"n1\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":376,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"376\",\"id\":\"n2\",\"kind\":\"course\"},{\"children\":[],\"condition\":\"graduate/professional standing\",\"course\":null,\"evidence\":\"graduate/professional standing\",\"id\":\"n3\",\"kind\":\"condition\"},{\"children\":[],\"condition\":\"member of the Pre-Masters Mathematics (Visiting International) Program\",\"course\":null,\"evidence\":\"member of the Pre-Masters Mathematics (Visiting International) Program\",\"id\":\"n4\",\"kind\":\"condition\"}],\"notes\":[\"MATH 234 and MATH 376 are linked courses with valid identities.\"],\"root\":\"n0\",\"status\":\"parsed\"}","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_dcdb624e3fb8cbaf9a557ab9","course_id":"MATH/STAT 431","catalog_version_id":"ce6975f420b1fb22081f8474141bbaa1218ba4338dd9f4a39b28057273e58f71","record_version_id":"861dca24ee0116ab177860a9e40e9d7321e61f0ef8d28ab80fa35bdbf22fbd68","job_id":"enrich-f516c4d3e82cfe326b4f5f54","output_id":"174b5e36b5806f3defd8762452a6ed2b91516054953517e608abcc023cd39276","section":"search_profile","status":"valid","value_json":"{\"assumed_background\":[{\"evidence\":[{\"course_id\":\"MATH 234\",\"field\":\"requirements_text\",\"quote\":\"MATH 222\"},{\"course_id\":\"MATH 376\",\"field\":\"requirements_text\",\"quote\":\"MATH 375\"}],\"text\":\"Calculus of functions of several variables and differential equations\"}],\"search_phrases\":[\"probability theory axioms\",\"random variables distributions\",\"central limit theorem\",\"multivariate distributions\",\"moment generating functions\"],\"skills_taught\":[{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"axioms of probability, random variables, the most important discrete and continuous probability distributions, expectation and variance, moment generating functions, conditional probability and conditional expectations, multivariate distributions, Markov's and Chebyshev's inequalities, laws of large numbers, and the central limit theorem\"}],\"text\":\"Probability theory and statistical distributions\"},{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"conditional probability and conditional expectations\"}],\"text\":\"Conditional probability and expectations\"},{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"Markov's and Chebyshev's inequalities, laws of large numbers, and the central limit theorem\"}],\"text\":\"Limit theorems and inequalities\"}],\"summary\":{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"title\",\"quote\":\"INTRODUCTION TO THE THEORY OF PROBABILITY\"},{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"Topics covered include axioms of probability, random variables, the most important discrete and continuous probability distributions\"}],\"text\":\"Introduction to the theory of probability covering axioms, distributions, and limit theorems\"},\"topics\":[{\"evidence\":[{\"course_id\":\"MATH/STAT 431\",\"field\":\"description\",\"quote\":\"axioms of probability, random variables, the most important discrete and continuous probability distributions, expectation and variance, moment generating functions, conditional probability and conditional expectations, multivariate distributions, Markov's and Chebyshev's inequalities, laws of large numbers, and the central limit theorem\"}],\"text\":\"Probability axioms, random variables, and distributions\"}]}","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_dcdb624e3fb8cbaf9a557ab9","course_id":"MATH/STAT 431","catalog_version_id":"ce6975f420b1fb22081f8474141bbaa1218ba4338dd9f4a39b28057273e58f71","record_version_id":"861dca24ee0116ab177860a9e40e9d7321e61f0ef8d28ab80fa35bdbf22fbd68","job_id":"enrich-f516c4d3e82cfe326b4f5f54","output_id":"174b5e36b5806f3defd8762452a6ed2b91516054953517e608abcc023cd39276","section":"student_experience","status":"valid","value_json":"{\"status\":\"supported\",\"themes\":[{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"Awful teacher. He really wants his students to learn the material, but he simply can't teach...at all. He routinely makes mistakes without correcting them, never explains anything conceptually, calls students out for looking at their notebook and writing instead of watching the board. Messed up grading both my midterms by over a whole grade (final?\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2009-12-20 15:05:48 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"bcf6e28ede049cad282e5e0d\",\"instructor_id\":\"rmp:167023\",\"instructor_name\":\"Stephen Wainger\",\"quality_rating\":2,\"source_review_id\":\"UmF0aW5nLTE2NjA5Njk1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/167023\"},{\"comment\":\"Okay professor. When I went to his office hours, he just ran through the problems in a very theoretical way, which was not helpful. I got a bad grade on one exam and it screwed me over for the course. Be prepared to do a lot of reading on your own. He crammed a ton of info in the last 2 weeks because he ran out of time. Overall, not bad, not great.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2010-12-22 01:18:48 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"bf76bb6359d48a444478b66d\",\"instructor_id\":\"rmp:890956\",\"instructor_name\":\"Alexander Kiselev\",\"quality_rating\":2,\"source_review_id\":\"UmF0aW5nLTE4MDIwNDM5\",\"source_url\":\"https://www.ratemyprofessors.com/professor/890956\"},{\"comment\":\"awful handwriting. lectures are exactly following the textbook which means if u can learn well by uself from the book, u probably can get a good grade. Exams are a little bit hard due to combining the knowledge of previous maths\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2014-09-14 17:40:59 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"3e844848694a370ca07d1e59\",\"instructor_id\":\"rmp:1912162\",\"instructor_name\":\"Howard Becker\",\"quality_rating\":2,\"source_review_id\":\"UmF0aW5nLTIzNTkzMDc2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1912162\"},{\"comment\":\"He is good at lecturing however, when I go to office hours he has troubles doing homework problems. He would take a very long time trying to do them and sometimes would not even dot he problem right. He is not specific on grading especially with final grades as he takes down the website so that you can not see where your grade is at or the average.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2015-12-31 11:12:34 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"a0051415f3fbe92ea966cd49\",\"instructor_id\":\"rmp:1671306\",\"instructor_name\":\"Samuel Stechmann\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTI1ODUzNTA1\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1671306\"},{\"comment\":\"His lectures are him taking notes out of the textbook, he will use exactly the same examples as the textbook. I found the textbook a good resource for the class though. He will ask for questions, wait two seconds, and then move on. Going to office hours is helpful for the homework. Practice exams were much easier than the exams. \",\"course_id\":\"MATH/STAT 431\",\"date\":\"2022-09-18 21:00:45 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"9bc879e59f83ea82527526df\",\"instructor_id\":\"rmp:2697840\",\"instructor_name\":\"Dohyun Kwon\",\"quality_rating\":2,\"source_review_id\":\"UmF0aW5nLTM2NjQ4NTk5\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2697840\"},{\"comment\":\"Zaidan is a horrific lecturer.  He reads directly from his notes, occasionally stopping for a poorly-explained proof or example.  Zaidan completely failed to keep my interest--I found the textbook to be far more interesting.  Furthermore, provided practice exams were nothing like the actual tests, which most of the class did exceedingly poor on.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2023-08-11 03:21:23 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"73ccb5ce9bd1e9701e9d8107\",\"instructor_id\":\"rmp:2923961\",\"instructor_name\":\"Zaidan Wu\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM4MTU5MDA2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2923961\"},{\"comment\":\"He's like the AI voice assistant on PDFs - literally reads straight from the textbook, only in a Russian accent. He's quite uninspiring and did not make this class enjoyable whatsoever. The class isn't too hard though tbh\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2025-05-09 19:44:04 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"d399858420ac9b9f7bd7bf16\",\"instructor_id\":\"rmp:620540\",\"instructor_name\":\"Mikhail Feldman\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTQxMjI5MzM0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/620540\"},{\"comment\":\"Sarrah is a great, very intelligent mathematician. She, however, is not a great lecturer. She cares deeply about her students and the content she teaches, but she does not deliver good lectures. I recommend her if you care about her research (she has a great cv), but otherwise not a great teacher. Some other ratings are too harsh.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2025-11-24 18:32:44 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"b914af2c507e88343301601d\",\"instructor_id\":\"rmp:2953115\",\"instructor_name\":\"Sarah Tammen\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTQxOTQyMTk4\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2953115\"},{\"comment\":\"Chenxi should not teach undergrads, but don't be too scared of his low rating. He goes way too deep into the theory, given what is on the homework on exams, but he cares a lot about his students and asks for a lot of feedback. His lectures are confusing, but he can come up with examples on the spot if you ask him, which helps clarify things. \",\"course_id\":\"MATH/STAT 431\",\"date\":\"2025-12-17 23:33:42 +0000 UTC\",\"difficulty_rating\":3,\"id\":\"37ba7a3d6e31da80b9779916\",\"instructor_id\":\"rmp:2652881\",\"instructor_name\":\"Chenxi Wu\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQyMzE4Njcz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2652881\"}],\"evidence_count\":9,\"review_ids\":[\"bcf6e28ede049cad282e5e0d\",\"bf76bb6359d48a444478b66d\",\"3e844848694a370ca07d1e59\",\"a0051415f3fbe92ea966cd49\",\"9bc879e59f83ea82527526df\",\"73ccb5ce9bd1e9701e9d8107\",\"d399858420ac9b9f7bd7bf16\",\"b914af2c507e88343301601d\",\"37ba7a3d6e31da80b9779916\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:167023\",\"name\":\"Stephen Wainger\"},{\"id\":\"rmp:1671306\",\"name\":\"Samuel Stechmann\"},{\"id\":\"rmp:1912162\",\"name\":\"Howard Becker\"},{\"id\":\"rmp:2652881\",\"name\":\"Chenxi Wu\"},{\"id\":\"rmp:2697840\",\"name\":\"Dohyun Kwon\"},{\"id\":\"rmp:2923961\",\"name\":\"Zaidan Wu\"},{\"id\":\"rmp:2953115\",\"name\":\"Sarah Tammen\"},{\"id\":\"rmp:620540\",\"name\":\"Mikhail Feldman\"},{\"id\":\"rmp:890956\",\"name\":\"Alexander Kiselev\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2009\"},\"sentiment\":\"mixed\",\"summary\":\"Teaching quality varies significantly by instructor; some are praised for clear, engaging lectures while others are criticized for reading from textbooks, having poor handwriting, or failing to explain concepts.\"},{\"aspect\":\"assessment\",\"evidence\":[{\"comment\":\"I enjoyed his lectures-he explained the basic concepts and was quite enthusiastic. However, I would have enjoyed doing more examples, as the homework was graded and extremely difficult. The exams were difficult, but certainly doable if you put the effort in (which is  a lot, by the way). I can't blame him personally because the material was tough.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2012-05-14 12:49:57 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"84be97aa3358545237681640\",\"instructor_id\":\"rmp:2767107\",\"instructor_name\":\"Joseph Miller\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIwMjc2Mzc3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2767107\"},{\"comment\":\"Zaidan is a horrific lecturer.  He reads directly from his notes, occasionally stopping for a poorly-explained proof or example.  Zaidan completely failed to keep my interest--I found the textbook to be far more interesting.  Furthermore, provided practice exams were nothing like the actual tests, which most of the class did exceedingly poor on.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2023-08-11 03:21:23 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"73ccb5ce9bd1e9701e9d8107\",\"instructor_id\":\"rmp:2923961\",\"instructor_name\":\"Zaidan Wu\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM4MTU5MDA2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2923961\"},{\"comment\":\"Well, it is very complicated to determine whether it is a good or bad class. It is very true that he is a responsible lecturer. He is super nice and caring. His lecture is clear. However he does make the final extremely challenging. It felt like he intentionally make the exam hard so that everyone fails this class. The reviews are very misguiding.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2023-05-15 07:11:06 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"8bf71a3f190fe0ab30817b9a\",\"instructor_id\":\"rmp:2643061\",\"instructor_name\":\"Erik Bates\",\"quality_rating\":3,\"source_review_id\":\"UmF0aW5nLTM3OTI0ODMz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2643061\"},{\"comment\":\"Good professor teaching a horrible class. Professor was funny and lectures were in-depth, but exams were very challenging. \",\"course_id\":\"MATH/STAT 431\",\"date\":\"2025-02-03 22:18:43 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"486841852ce5575769effe10\",\"instructor_id\":\"rmp:2680569\",\"instructor_name\":\"Mikhail Ivanov\",\"quality_rating\":4,\"source_review_id\":\"UmF0aW5nLTQwNjM1MDc0\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2680569\"}],\"evidence_count\":4,\"review_ids\":[\"84be97aa3358545237681640\",\"73ccb5ce9bd1e9701e9d8107\",\"8bf71a3f190fe0ab30817b9a\",\"486841852ce5575769effe10\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:2643061\",\"name\":\"Erik Bates\"},{\"id\":\"rmp:2680569\",\"name\":\"Mikhail Ivanov\"},{\"id\":\"rmp:2767107\",\"name\":\"Joseph Miller\"},{\"id\":\"rmp:2923961\",\"name\":\"Zaidan Wu\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2012\"},\"sentiment\":\"mixed\",\"summary\":\"Exams are frequently described as difficult and challenging, with some students noting that practice exams do not accurately reflect the difficulty of actual tests.\"},{\"aspect\":\"workload\",\"evidence\":[{\"comment\":\"A. Fish is a good guy and wants his students to learn.  Although Probability was a difficult course he tried to get everyone to learn.  Homework was hard but always helpful in office hours.  He gave practice questions for each exam and was generous in grading.  Study your notes and do a lot of problems on your own and you will do fine like me :)\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2010-05-06 15:14:23 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"84c7002abb357bfd383037aa\",\"instructor_id\":\"rmp:1326966\",\"instructor_name\":\"Alexander Fish\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTE3MTM3OTEy\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1326966\"},{\"comment\":\"I enjoyed his lectures-he explained the basic concepts and was quite enthusiastic. However, I would have enjoyed doing more examples, as the homework was graded and extremely difficult. The exams were difficult, but certainly doable if you put the effort in (which is  a lot, by the way). I can't blame him personally because the material was tough.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2012-05-14 12:49:57 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"84be97aa3358545237681640\",\"instructor_id\":\"rmp:2767107\",\"instructor_name\":\"Joseph Miller\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTIwMjc2Mzc3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2767107\"},{\"comment\":\"Okay professor. When I went to his office hours, he just ran through the problems in a very theoretical way, which was not helpful. I got a bad grade on one exam and it screwed me over for the course. Be prepared to do a lot of reading on your own. He crammed a ton of info in the last 2 weeks because he ran out of time. Overall, not bad, not great.\",\"course_id\":\"MATH/STAT 431\",\"date\":\"2010-12-22 01:18:48 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"bf76bb6359d48a444478b66d\",\"instructor_id\":\"rmp:890956\",\"instructor_name\":\"Alexander Kiselev\",\"quality_rating\":2,\"source_review_id\":\"UmF0aW5nLTE4MDIwNDM5\",\"source_url\":\"https://www.ratemyprofessors.com/professor/890956\"}],\"evidence_count\":3,\"review_ids\":[\"84c7002abb357bfd383037aa\",\"84be97aa3358545237681640\",\"bf76bb6359d48a444478b66d\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1326966\",\"name\":\"Alexander Fish\"},{\"id\":\"rmp:2767107\",\"name\":\"Joseph Miller\"},{\"id\":\"rmp:890956\",\"name\":\"Alexander Kiselev\"}],\"review_year_end\":\"2012\",\"review_year_start\":\"2010\"},\"sentiment\":\"mixed\",\"summary\":\"The course requires significant independent study and effort, with homework often described as hard or extremely difficult, though some instructors provide helpful office hours and practice materials.\"}]}","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_dcdb624e3fb8cbaf9a557ab9","course_id":"MATH/STAT 431","catalog_version_id":"ce6975f420b1fb22081f8474141bbaa1218ba4338dd9f4a39b28057273e58f71","record_version_id":"861dca24ee0116ab177860a9e40e9d7321e61f0ef8d28ab80fa35bdbf22fbd68","job_id":"enrich-f516c4d3e82cfe326b4f5f54","output_id":"174b5e36b5806f3defd8762452a6ed2b91516054953517e608abcc023cd39276","section":"student_summary","status":"valid","value_json":"{\"context_hash\":\"56f354abc0a47aa6ce47661d5e3bd566b77b24841d0544881d23a884dbb9f3b7\",\"course_id\":\"MATH/STAT 431\",\"current_instructors\":[{\"instructor_uid\":\"instructor_2a02136af51764ad77d8ae3b\",\"message\":\"No course-specific reviews available\",\"name\":\"Ander Aguirre Zarate\",\"review_status\":\"no_course_reviews\",\"rmp_instructor_id\":null,\"summary\":[{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":3,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1264\",\"type\":\"grade\"}],\"text\":\"Recent recorded grades — Fall 2025: 3.25 GPA, 41.2% A/AB (n=34 letter grades); Spring 2026: 3.27 GPA, 60.0% A/AB (n=30 letter grades).\"}]},{\"instructor_uid\":\"instructor_6419be81226c791349ad5519\",\"message\":\"No course-specific reviews available\",\"name\":\"Shiva Chidambaram\",\"review_status\":\"no_course_reviews\",\"rmp_instructor_id\":\"rmp:3064250\",\"summary\":[]}],\"difficulty_workload\":[{\"citations\":[{\"instructor_name\":\"Erik Bates\",\"review_date\":\"2023-05-15 07:11:06 +0000 UTC\",\"review_id\":\"8bf71a3f190fe0ab30817b9a\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:2643061\",\"source_review_id\":\"UmF0aW5nLTM3OTI0ODMz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2643061\",\"type\":\"review\"},{\"instructor_name\":\"Benedek Valko\",\"review_date\":\"2024-10-25 17:34:28 +0000 UTC\",\"review_id\":\"3947b92cc3d0703a15af011f\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:1566085\",\"source_review_id\":\"UmF0aW5nLTM5ODU0Njky\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1566085\",\"type\":\"review\"}],\"text\":\"Historical reviews of Benedek Valko, Erik Bates: Workload varies by instructor; one review cites an extremely challenging final, while another notes fair homework and adjusted exam weights to reward improvement.\"}],\"errors\":[],\"historical_context\":[{\"citations\":[{\"instructor_name\":\"Benedek Valko\",\"review_date\":\"2024-10-25 17:34:28 +0000 UTC\",\"review_id\":\"3947b92cc3d0703a15af011f\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:1566085\",\"source_review_id\":\"UmF0aW5nLTM5ODU0Njky\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1566085\",\"type\":\"review\"},{\"instructor_name\":\"Mikhail Ivanov\",\"review_date\":\"2025-06-06 07:36:29 +0000 UTC\",\"review_id\":\"5cddc29d5045e5cbae938429\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:2680569\",\"source_review_id\":\"UmF0aW5nLTQxNDA4MzE2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2680569\",\"type\":\"review\"},{\"instructor_name\":\"Chenxi Wu\",\"review_date\":\"2025-12-17 23:33:42 +0000 UTC\",\"review_id\":\"37ba7a3d6e31da80b9779916\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:2652881\",\"source_review_id\":\"UmF0aW5nLTQyMzE4Njcz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2652881\",\"type\":\"review\"}],\"text\":\"Historical reviews of Benedek Valko, Chenxi Wu, Mikhail Ivanov: Benedek Valko provides detailed explanations and flexible support, allowing students to succeed without advanced innate talent. Mikhail Ivanov is patient and funny, with clear notes and guidelines, though students should ask for clarification. Chenxi Wu covers deep theory in confusing lectures but clarifies concepts on demand and values student feedback.\"}],\"message\":null,\"offered\":true,\"profile_hash\":\"e59ddc7389015d0035b68cd195c939d475bf72b959b29cf12eab59b454ccaef1\",\"quick_take\":[{\"citations\":[{\"instructor_name\":\"Benedek Valko\",\"review_date\":\"2024-10-25 17:34:28 +0000 UTC\",\"review_id\":\"3947b92cc3d0703a15af011f\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:1566085\",\"source_review_id\":\"UmF0aW5nLTM5ODU0Njky\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1566085\",\"type\":\"review\"},{\"instructor_name\":\"Mikhail Ivanov\",\"review_date\":\"2025-06-06 07:36:29 +0000 UTC\",\"review_id\":\"5cddc29d5045e5cbae938429\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:2680569\",\"source_review_id\":\"UmF0aW5nLTQxNDA4MzE2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2680569\",\"type\":\"review\"}],\"text\":\"Historical reviews of Benedek Valko, Mikhail Ivanov: Recent reviews praise clear teaching, helpful office hours, and fair grading, with students noting that asking for clarification helps resolve confusion.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1254\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1264\",\"type\":\"grade\"}],\"text\":\"Recent recorded grades — Spring 2025: 3.17 GPA, 46.8% A/AB (n=126 letter grades); Fall 2025: 3.26 GPA, 43.7% A/AB (n=135 letter grades); Spring 2026: 3.21 GPA, 49.5% A/AB (n=97 letter grades).\"}],\"student_experience\":[{\"citations\":[{\"instructor_name\":\"Benedek Valko\",\"review_date\":\"2024-10-25 17:34:28 +0000 UTC\",\"review_id\":\"3947b92cc3d0703a15af011f\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:1566085\",\"source_review_id\":\"UmF0aW5nLTM5ODU0Njky\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1566085\",\"type\":\"review\"},{\"instructor_name\":\"Mikhail Ivanov\",\"review_date\":\"2025-06-06 07:36:29 +0000 UTC\",\"review_id\":\"5cddc29d5045e5cbae938429\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:2680569\",\"source_review_id\":\"UmF0aW5nLTQxNDA4MzE2\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2680569\",\"type\":\"review\"},{\"instructor_name\":\"Chenxi Wu\",\"review_date\":\"2025-12-17 23:33:42 +0000 UTC\",\"review_id\":\"37ba7a3d6e31da80b9779916\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:2652881\",\"source_review_id\":\"UmF0aW5nLTQyMzE4Njcz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/2652881\",\"type\":\"review\"}],\"text\":\"Historical reviews of Benedek Valko, Chenxi Wu, Mikhail Ivanov: Students value detailed explanations and patience, though one reviewer found lectures confusing and recommended asking for clarification.\"}],\"task_hash\":\"74fb0997943e888960bbc9e47db8c4fd12e4292d55c20509d8d89db6a9910f68\",\"teaching_history\":[{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1074\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1082\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1112\",\"type\":\"grade\"}],\"text\":\"ALEXANDER KISELEV is recorded teaching in Spring 2007, Fall 2007, Fall 2010. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":3,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1264\",\"type\":\"grade\"}],\"text\":\"ANDER AGUIRRE ZARATE is recorded teaching in Fall 2025, Spring 2026. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1094\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1132\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1134\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1142\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":4,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1162\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1172\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1232\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1242\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1244\",\"type\":\"grade\"}],\"text\":\"BENEDEK VALKO is recorded teaching in Spring 2009, Fall 2012, Spring 2013, Fall 2013, Fall 2015, Fall 2016, Fall 2022, Fall 2023, Spring 2024. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"}],\"text\":\"CHENXI WU is recorded teaching in Fall 2025. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":4,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1172\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1174\",\"type\":\"grade\"}],\"text\":\"DANIELE CAPPELLETTI is recorded teaching in Fall 2016, Spring 2017. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1224\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1234\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":3,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1234\",\"type\":\"grade\"}],\"text\":\"ERIK BATES is recorded teaching in Spring 2022, Spring 2023. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1122\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":3,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1122\",\"type\":\"grade\"}],\"text\":\"GREGORIO MORENO-FLORES is recorded teaching in Fall 2011. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1194\",\"type\":\"grade\"}],\"text\":\"HAO SHEN is recorded teaching in Spring 2019. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1222\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1252\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":4,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1252\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1254\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1254\",\"type\":\"grade\"}],\"text\":\"MIKHAIL IVANOV is recorded teaching in Fall 2021, Fall 2024, Spring 2025. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1084\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1102\",\"type\":\"grade\"}],\"text\":\"STEPHEN WAINGER is recorded teaching in Spring 2008, Fall 2009. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1104\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":3,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1114\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":3,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1132\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1142\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":3,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1142\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1152\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1172\",\"type\":\"grade\"}],\"text\":\"TIMO SEPPALAINEN is recorded teaching in Spring 2010, Spring 2011, Fall 2012, Fall 2013, Fall 2014, Fall 2016. Recorded history may be incomplete and does not establish a future schedule.\"},{\"citations\":[{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":2,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1184\",\"type\":\"grade\"},{\"course_id\":\"MATH/STAT 431\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":3,\"source_course_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"source_record\":{\"entity_id\":\"3ef3ba60-426e-39ad-a61f-17d381b193d6\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1184\",\"type\":\"grade\"}],\"text\":\"XIAOQIN GUO is recorded teaching in Spring 2018. 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}]