[{"run_id":"20261014T203208-0851c9a1","observed_at":"2026-10-14 17:50:09.728220+00:00","course_uid":"course_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"be0141818ec42772594be53fea1cb94c7c94bb25efc15d369609bc50aca0d128","record_version_id":"15f4d42625c42419427ccaf97589df00715a6d32ade3216292a7a7c94426231e","job_id":"enrich-49752a259f17fab0f49665b3","output_id":"f646746c14b07be2b778d971507d590c7e7400777b9dca927e54202ae5a1dd1a","section":"requirements","status":"needs_review","value_json":"{\"nodes\":[{\"children\":[\"course_seq\",\"cond_grad\",\"cond_visp\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375), (MATH 320,340,341,345, or375), and (MATH 341,375,421,467, or521), graduate/professional standing, or declared in Mathematics VISP (undergraduate or graduate)\",\"id\":\"root\",\"kind\":\"any\"},{\"children\":[\"g1\",\"g2\",\"g3\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375), (MATH 320,340,341,345, or375), and (MATH 341,375,421,467, or521)\",\"id\":\"course_seq\",\"kind\":\"all\"},{\"children\":[\"c234\",\"c375_1\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375)\",\"id\":\"g1\",\"kind\":\"any\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":234,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"MATH 234\",\"id\":\"c234\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"375\",\"id\":\"c375_1\",\"kind\":\"course\"},{\"children\":[\"c320\",\"c340\",\"c341_1\",\"c345\",\"c375_2\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 320,340,341,345, or375)\",\"id\":\"g2\",\"kind\":\"any\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":320,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"MATH 320\",\"id\":\"c320\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":340,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"340\",\"id\":\"c340\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":341,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"341\",\"id\":\"c341_1\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":345,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"345\",\"id\":\"c345\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"or375\",\"id\":\"c375_2\",\"kind\":\"course\"},{\"children\":[\"c341_2\",\"c375_3\",\"c421\",\"c467\",\"c521\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 341,375,421,467, or521)\",\"id\":\"g3\",\"kind\":\"any\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":341,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"MATH 341\",\"id\":\"c341_2\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"375\",\"id\":\"c375_3\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":421,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"421\",\"id\":\"c421\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":467,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"467\",\"id\":\"c467\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":521,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"or521\",\"id\":\"c521\",\"kind\":\"course\"},{\"children\":[],\"condition\":\"graduate/professional standing\",\"course\":null,\"evidence\":\"graduate/professional standing\",\"id\":\"cond_grad\",\"kind\":\"condition\"},{\"children\":[],\"condition\":\"declared in Mathematics VISP (undergraduate or graduate)\",\"course\":null,\"evidence\":\"declared in Mathematics VISP (undergraduate or graduate)\",\"id\":\"cond_visp\",\"kind\":\"condition\"}],\"notes\":[\"Treated the three parenthesized course groups as one combined alternative because they are conjoined by “and”; the trailing standing/declaration phrases are alternatives to that sequence.\"],\"root\":\"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_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"be0141818ec42772594be53fea1cb94c7c94bb25efc15d369609bc50aca0d128","record_version_id":"15f4d42625c42419427ccaf97589df00715a6d32ade3216292a7a7c94426231e","job_id":"enrich-49752a259f17fab0f49665b3","output_id":"f646746c14b07be2b778d971507d590c7e7400777b9dca927e54202ae5a1dd1a","section":"search_profile","status":"valid","value_json":"{\"activity_tags\":[{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"official_learning_outcomes\",\"outcome_index\":4,\"quote\":\"Prove or disprove statements related to the above definitions, properties, and theorems using techniques of mathematical argument (direct methods, indirect methods, constructing examples and counterexamples, induction, etc.).\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"label\":\"mathematical-reasoning\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"official_learning_outcomes\",\"outcome_index\":3,\"quote\":\"Use such theorems in the context of longer arguments by examining their premises (e.g,. establishing results on canonical forms, applying algorithms to diagonalize matrices, find canonical forms, etc.).\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"label\":\"writing\"}],\"assumed_background\":[],\"search_phrases\":[\"Jordan canonical form\",\"Spectral theorem\",\"Singular value decomposition\",\"Inner product spaces\",\"Cayley Hamilton Theorem\",\"Advanced linear algebra\",\"Bilinear and quadratic forms\",\"Minimal polynomials\"],\"skills_taught\":[{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"official_learning_outcomes\",\"outcome_index\":1,\"quote\":\"Use such definitions to argue that a mathematical object does or does not have the condition of being a particular type or having a particular property (e.g., whether a matrix is diagonalizable, whether a space is an inner product space, etc.).\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Argue whether mathematical objects possess specific properties or types using formal definitions.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"official_learning_outcomes\",\"outcome_index\":2,\"quote\":\"Recall and state the standard theorems of advanced linear algebra (e.g., the spectral theorem, Sylvester’s theorem, the Gram-Schmidt algorithm, etc.), and recall the arguments for these theorems and the underlying logic of their proofs.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"State standard theorems and recall the logic of their proofs.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"official_learning_outcomes\",\"outcome_index\":3,\"quote\":\"Use such theorems in the context of longer arguments by examining their premises (e.g,. establishing results on canonical forms, applying algorithms to diagonalize matrices, find canonical forms, etc.).\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Apply theorems in longer arguments to establish results on canonical forms and apply algorithms.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"official_learning_outcomes\",\"outcome_index\":4,\"quote\":\"Prove or disprove statements related to the above definitions, properties, and theorems using techniques of mathematical argument (direct methods, indirect methods, constructing examples and counterexamples, induction, etc.).\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Prove or disprove mathematical statements using direct and indirect methods, examples, and induction.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"official_learning_outcomes\",\"outcome_index\":5,\"quote\":\"Convey arguments using English and appropriate mathematical terminology, notation and grammar.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Convey mathematical arguments using appropriate terminology, notation, and grammar.\"}],\"summary\":{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"title\",\"quote\":\"LINEAR ALGEBRA II\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"},{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Review of linear transformations, duality. Diagonalization of linear transformations. The Cayley Hamilton Theorem. Minimal polynomials. The Jordan canonical form. Exponential function. Inner product spaces, orthonormal bases and Gram-Schmidt orthogonalization. Operators on inner product spaces. Self-adjoint, unitary and positive operators. Spectral theorem. Singular value decomposition. Bilinear and quadratic forms. Norms, bounded linear operators, matrix norms. Basic multilinear algebra.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Linear Algebra II covers diagonalization, Jordan canonical form, inner product spaces, spectral theorem, SVD, and bilinear forms.\"},\"topics\":[{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Diagonalization of linear transformations. The Cayley Hamilton Theorem. Minimal polynomials. The Jordan canonical form.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Diagonalization, Cayley-Hamilton theorem, minimal polynomials, and Jordan canonical form.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Inner product spaces, orthonormal bases and Gram-Schmidt orthogonalization. Operators on inner product spaces. Self-adjoint, unitary and positive operators. Spectral theorem. Singular value decomposition.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Inner product spaces, Gram-Schmidt orthogonalization, self-adjoint/unitary/positive operators, spectral theorem, and SVD.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Bilinear and quadratic forms. Norms, bounded linear operators, matrix norms. Basic multilinear algebra.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Bilinear and quadratic forms, norms, bounded linear operators, matrix norms, and basic multilinear algebra.\"}]}","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_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"be0141818ec42772594be53fea1cb94c7c94bb25efc15d369609bc50aca0d128","record_version_id":"15f4d42625c42419427ccaf97589df00715a6d32ade3216292a7a7c94426231e","job_id":"enrich-49752a259f17fab0f49665b3","output_id":"f646746c14b07be2b778d971507d590c7e7400777b9dca927e54202ae5a1dd1a","section":"student_experience","status":"valid","value_json":"{\"status\":\"supported\",\"themes\":[{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"Here are the facts: HW solutions: nonexistence sample tests: promised but nonexistence project guideline/feedback: none project grading: you could do less work and got higher grade than ppl who did more work office hour: an hour each week and shared among a 700 math (got time for a vac in fl but no time for separate oh for different course)\",\"course_id\":\"MATH 540\",\"date\":\"2021-05-08 04:04:53 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"95fd7b0a7b1621df1f50c597\",\"instructor_id\":\"rmp:802342\",\"instructor_name\":\"Andrei Caldararu\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM0NzM5NDEx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/802342\"},{\"comment\":\"He literally provided nothing! No hw solution (basically ignored numerous requests from student asking for hw solutions), No practice tests though promised one( one big exam and he said study everything), No clear grading guideline and couldn't offer cohesive reasons for project's grade ( basically sorry I don't have a rubric)\",\"course_id\":\"MATH 540\",\"date\":\"2021-05-08 04:11:04 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"b012d8c5a5ccc02b8c8fe5b1\",\"instructor_id\":\"rmp:802342\",\"instructor_name\":\"Andrei Caldararu\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM0NzM5NDQz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/802342\"}],\"evidence_count\":2,\"review_ids\":[\"95fd7b0a7b1621df1f50c597\",\"b012d8c5a5ccc02b8c8fe5b1\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:802342\",\"name\":\"Andrei Caldararu\"}],\"review_year_end\":\"2021\",\"review_year_start\":\"2021\"},\"sentiment\":\"negative\",\"subject_instructor_id\":\"rmp:802342\",\"summary\":\"Cited reviews criticize Andrei Caldararu for providing no homework solutions, practice tests, or clear grading guidelines.\"},{\"aspect\":\"organization\",\"evidence\":[{\"comment\":\"The single worst professor I've ever had, not even close. You will not learn anything; his course is organized extremely poorly with awful explanations and no standards for work. It's evident how little he cares. I guess one nice thing about his total lack of effort is that he will give you a good grade no matter what, but you won't learn a thing.\",\"course_id\":\"MATH 540\",\"date\":\"2025-10-06 04:17:15 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"67186a9a8e4f9b8bafa3a258\",\"instructor_id\":\"rmp:1522421\",\"instructor_name\":\"Shamgar Gurevich\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTQxNjkwMDQx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1522421\"}],\"evidence_count\":1,\"review_ids\":[\"67186a9a8e4f9b8bafa3a258\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1522421\",\"name\":\"Shamgar Gurevich\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2025\"},\"sentiment\":\"negative\",\"subject_instructor_id\":\"rmp:1522421\",\"summary\":\"One reviewer describes Shamgar Gurevich's course as organized extremely poorly with awful explanations.\"},{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"He introduces the linear algebra from Categroy theory. He massivly uses ring theory, or natural isomorphism to introduces theorems in Linear Algebra. It's worth nothing to take this course to understand how to apply linear algebra on engineering. But it's very useful if you view Linear Algebra II as an introduction to math structure. \",\"course_id\":\"MATH 540\",\"date\":\"2025-12-15 01:38:22 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"1863c1c25787d494b4129b8d\",\"instructor_id\":\"rmp:1522421\",\"instructor_name\":\"Shamgar Gurevich\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQyMjUwOTk3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1522421\"}],\"evidence_count\":1,\"review_ids\":[\"1863c1c25787d494b4129b8d\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1522421\",\"name\":\"Shamgar Gurevich\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2025\"},\"sentiment\":\"positive\",\"subject_instructor_id\":\"rmp:1522421\",\"summary\":\"One reviewer finds Shamgar Gurevich's approach using category theory and ring theory useful for understanding math structure.\"},{\"aspect\":\"workload\",\"evidence\":[{\"comment\":\"He failed to cover many of the topics mentioned in the syllabus, he spent most of his time talking about the basics of abstract algebra, number theory, and philosiphising on the best way to teach math. He was extremely combative with students, sometimes spending entire class periods arguing with students during their in-class presentations.\",\"course_id\":\"MATH 540\",\"date\":\"2026-01-09 16:55:18 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"8300debf7611860d2c1a1cba\",\"instructor_id\":\"rmp:1522421\",\"instructor_name\":\"Shamgar Gurevich\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTQyNDY3NzU3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1522421\"}],\"evidence_count\":1,\"review_ids\":[\"8300debf7611860d2c1a1cba\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1522421\",\"name\":\"Shamgar Gurevich\"}],\"review_year_end\":\"2026\",\"review_year_start\":\"2026\"},\"sentiment\":\"negative\",\"subject_instructor_id\":\"rmp:1522421\",\"summary\":\"One reviewer states Shamgar Gurevich failed to cover many syllabus topics and spent time on abstract algebra basics.\"}]}","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_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"be0141818ec42772594be53fea1cb94c7c94bb25efc15d369609bc50aca0d128","record_version_id":"15f4d42625c42419427ccaf97589df00715a6d32ade3216292a7a7c94426231e","job_id":"enrich-49752a259f17fab0f49665b3","output_id":"f646746c14b07be2b778d971507d590c7e7400777b9dca927e54202ae5a1dd1a","section":"student_summary","status":"valid","value_json":"{\"context_hash\":\"23e11248598eb49b3992648e76585d6351f84133c3a2ffb0a06ca99ff8f36e11\",\"course_id\":\"MATH 540\",\"current_instructors\":[],\"difficulty_workload\":[{\"citations\":[{\"instructor_name\":\"Andrei Caldararu\",\"review_date\":\"2021-05-08 04:04:53 +0000 UTC\",\"review_id\":\"95fd7b0a7b1621df1f50c597\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_instructor_id\":\"rmp:802342\",\"source_review_id\":\"UmF0aW5nLTM0NzM5NDEx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/802342\",\"type\":\"review\"},{\"instructor_name\":\"Andrei Caldararu\",\"review_date\":\"2021-05-08 04:11:04 +0000 UTC\",\"review_id\":\"b012d8c5a5ccc02b8c8fe5b1\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_instructor_id\":\"rmp:802342\",\"source_review_id\":\"UmF0aW5nLTM0NzM5NDQz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/802342\",\"type\":\"review\"}],\"evidence_scope\":\"past_student_reviews\",\"text\":\"Past students reported missing homework solutions, promised practice tests, and clear grading guidelines. One reviewer noted that less work sometimes resulted in higher grades than more effort.\"}],\"errors\":[],\"historical_context\":[],\"message\":null,\"offered\":false,\"profile_hash\":\"3f5110430805ccdd533c0c072df62d68a8a5f5441c4530bbdb15d419a199a09c\",\"quick_take\":[{\"citations\":[{\"instructor_name\":\"Shamgar Gurevich\",\"review_date\":\"2025-10-06 04:17:15 +0000 UTC\",\"review_id\":\"67186a9a8e4f9b8bafa3a258\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_instructor_id\":\"rmp:1522421\",\"source_review_id\":\"UmF0aW5nLTQxNjkwMDQx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1522421\",\"type\":\"review\"},{\"instructor_name\":\"Shamgar Gurevich\",\"review_date\":\"2025-12-15 01:38:22 +0000 UTC\",\"review_id\":\"1863c1c25787d494b4129b8d\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_instructor_id\":\"rmp:1522421\",\"source_review_id\":\"UmF0aW5nLTQyMjUwOTk3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1522421\",\"type\":\"review\"}],\"evidence_scope\":\"past_student_reviews\",\"text\":\"One student found the course poorly organized with weak explanations, while another valued the categorical approach for understanding mathematical structure rather than engineering applications.\"},{\"citations\":[{\"course_id\":\"MATH 540\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_record\":{\"entity_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1244\",\"type\":\"grade\"},{\"course_id\":\"MATH 540\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_record\":{\"entity_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1252\",\"type\":\"grade\"},{\"course_id\":\"MATH 540\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_record\":{\"entity_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"}],\"text\":\"Recent recorded grades — Spring 2024: 3.39 GPA, 69.6% A/AB (n=23 letter grades); Fall 2024: 3.44 GPA, 70.6% A/AB (n=17 letter grades); Fall 2025: 4.00 GPA, 100.0% A/AB (n=33 letter grades).\"}],\"student_experience\":[{\"citations\":[{\"instructor_name\":\"Shamgar Gurevich\",\"review_date\":\"2026-01-09 16:55:18 +0000 UTC\",\"review_id\":\"8300debf7611860d2c1a1cba\",\"run_id\":\"20261014T203208-0851c9a1\",\"source_instructor_id\":\"rmp:1522421\",\"source_review_id\":\"UmF0aW5nLTQyNDY3NzU3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1522421\",\"type\":\"review\"}],\"evidence_scope\":\"past_student_reviews\",\"text\":\"A student found the instructor combative, noting he spent entire class periods arguing during presentations and failed to cover many syllabus topics.\"}],\"task_hash\":\"9dea82ef7f2113a5605c1c6030c4f9b19967eb742cc93a78268fb92357d29f5c\",\"teaching_history\":[{\"citations\":[{\"course_id\":\"MATH 540\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"source_record\":{\"entity_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1194\",\"type\":\"grade\"},{\"course_id\":\"MATH 540\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"source_record\":{\"entity_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1204\",\"type\":\"grade\"},{\"course_id\":\"MATH 540\",\"run_id\":\"20261014T203208-0851c9a1\",\"section_number\":1,\"source_course_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"source_record\":{\"entity_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"}],\"text\":\"SHAMGAR GUREVICH is recorded teaching in Spring 2019, Spring 2020, Fall 2025. 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_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"66d0411c361bd0aef66e4919aab55bd91b3489351961fd90fefecf156ed31132","record_version_id":"2cf40550710fddd70eebaccedb5a4915c1bbcd8044e7cc2721090bb9cf2e3ca0","job_id":"enrich-5291a20b802b9bbbe22b24cb","output_id":"c78aa351ca7ef6eb74e7c6cb822c18fdbffe4601c81a21fb7e566ebd1dda1b5b","section":"requirements","status":"invalid","value_json":null,"candidate_json":"{\"nodes\":[{\"children\":[\"n1\",\"n2\",\"n3\",\"n4\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375), (MATH 320,340,341,345, or375), and (MATH 341,375,421,467, or521), graduate/professional standing, or declared in Mathematics VISP (undergraduate or graduate)\",\"id\":\"n0\",\"kind\":\"any\"},{\"children\":[\"n5\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375)\",\"id\":\"n1\",\"kind\":\"any\"},{\"children\":[\"n6\",\"n7\",\"n8\",\"n9\",\"n10\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 320,340,341,345, or375)\",\"id\":\"n2\",\"kind\":\"any\"},{\"children\":[\"n11\",\"n12\",\"n13\",\"n14\",\"n15\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 341,375,421,467, or521)\",\"id\":\"n3\",\"kind\":\"any\"},{\"children\":[\"n16\"],\"condition\":\"graduate/professional standing\",\"course\":null,\"evidence\":\"graduate/professional standing\",\"id\":\"n4\",\"kind\":\"condition\"},{\"children\":[\"n17\"],\"condition\":\"declared in Mathematics VISP (undergraduate or graduate)\",\"course\":null,\"evidence\":\"declared in Mathematics VISP (undergraduate or graduate)\",\"id\":\"n5\",\"kind\":\"condition\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":234,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"MATH 234\",\"id\":\"n6\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"375\",\"id\":\"n7\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":320,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"320\",\"id\":\"n8\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":340,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"340\",\"id\":\"n9\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":341,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"341\",\"id\":\"n10\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":341,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"341\",\"id\":\"n11\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"375\",\"id\":\"n12\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":421,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"421\",\"id\":\"n13\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":467,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"467\",\"id\":\"n14\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":521,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"521\",\"id\":\"n15\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"375\",\"id\":\"n17\",\"kind\":\"course\"}],\"notes\":[\"MATH 421, MATH 467, and MATH 521 are mentioned in requirements_text but are not present in linked_courses. These references are marked as needs_review for identity verification.\",\"The requirement text contains ambiguous spacing (e.g., '234or375') which has been parsed as 'or' based on context.\",\"MATH 375 appears in multiple alternative groups; it is listed as a distinct course node in each group it appears in.\"],\"root\":\"n0\",\"status\":\"needs_review\"}","error":"Node n4 references missing nodes: n16.","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_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"66d0411c361bd0aef66e4919aab55bd91b3489351961fd90fefecf156ed31132","record_version_id":"2cf40550710fddd70eebaccedb5a4915c1bbcd8044e7cc2721090bb9cf2e3ca0","job_id":"enrich-5291a20b802b9bbbe22b24cb","output_id":"c78aa351ca7ef6eb74e7c6cb822c18fdbffe4601c81a21fb7e566ebd1dda1b5b","section":"search_profile","status":"valid","value_json":"{\"assumed_background\":[{\"evidence\":[{\"course_id\":\"MATH 341\",\"field\":\"description\",\"quote\":\"The theory of linear algebra with an introduction to proofs and proof writing. Topics include vector spaces, linear dependence, span, basis, linear transformations, kernel, image, inner products and inner product spaces, geometry, eigenvalues, eigenvectors, standard matrix factorizations.\"}],\"text\":\"Theoretical linear algebra with proofs, covering vector spaces, linear transformations, eigenvalues, and inner product spaces.\"},{\"evidence\":[{\"course_id\":\"MATH 234\",\"field\":\"description\",\"quote\":\"Introduction to calculus of functions of several variables; calculus on parameterized curves, derivatives of functions of several variables, multiple integrals, vector calculus.\"}],\"text\":\"Multivariable calculus including vector calculus and multiple integrals.\"}],\"search_phrases\":[\"advanced linear algebra\",\"Jordan canonical form\",\"spectral theorem\",\"linear transformations duality\",\"matrix norms bounded operators\"],\"skills_taught\":[{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Review of linear transformations, duality. Diagonalization of linear transformations. The Cayley Hamilton Theorem. Minimal polynomials. The Jordan canonical form.\"}],\"text\":\"Advanced linear algebra topics including diagonalization, minimal polynomials, and Jordan canonical form.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Inner product spaces, orthonormal bases and Gram-Schmidt orthogonalization. Operators on inner product spaces. Self-adjoint, unitary and positive operators. Spectral theorem.\"}],\"text\":\"Inner product space theory, orthogonalization, and spectral theorem for operators.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Singular value decomposition. Bilinear and quadratic forms. Norms, bounded linear operators, matrix norms. Basic multilinear algebra.\"}],\"text\":\"Singular value decomposition, bilinear/quadratic forms, and matrix norms.\"}],\"summary\":{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"title\",\"quote\":\"LINEAR ALGEBRA II\"},{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Review of linear transformations, duality. Diagonalization of linear transformations. The Cayley Hamilton Theorem. Minimal polynomials. The Jordan canonical form. Exponential function. Inner product spaces, orthonormal bases and Gram-Schmidt orthogonalization. Operators on inner product spaces. Self-adjoint, unitary and positive operators. Spectral theorem. Singular value decomposition. Bilinear and quadratic forms. Norms, bounded linear operators, matrix norms. Basic multilinear algebra.\"}],\"text\":\"Linear Algebra II covers advanced linear transformations, Jordan forms, spectral theory, and multilinear algebra.\"},\"topics\":[{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Review of linear transformations, duality. Diagonalization of linear transformations. The Cayley Hamilton Theorem. Minimal polynomials. The Jordan canonical form.\"}],\"text\":\"Linear transformations, duality, diagonalization, Cayley-Hamilton theorem, minimal polynomials, Jordan canonical form.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Inner product spaces, orthonormal bases and Gram-Schmidt orthogonalization. Operators on inner product spaces. Self-adjoint, unitary and positive operators. Spectral theorem.\"}],\"text\":\"Inner product spaces, orthonormal bases, Gram-Schmidt process, self-adjoint/unitary/positive operators, spectral theorem.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Singular value decomposition. Bilinear and quadratic forms. Norms, bounded linear operators, matrix norms. Basic multilinear algebra.\"}],\"text\":\"Singular value decomposition, bilinear and quadratic forms, norms, bounded linear operators, multilinear algebra.\"}]}","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_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"66d0411c361bd0aef66e4919aab55bd91b3489351961fd90fefecf156ed31132","record_version_id":"2cf40550710fddd70eebaccedb5a4915c1bbcd8044e7cc2721090bb9cf2e3ca0","job_id":"enrich-5291a20b802b9bbbe22b24cb","output_id":"c78aa351ca7ef6eb74e7c6cb822c18fdbffe4601c81a21fb7e566ebd1dda1b5b","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_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"66d0411c361bd0aef66e4919aab55bd91b3489351961fd90fefecf156ed31132","record_version_id":"2cf40550710fddd70eebaccedb5a4915c1bbcd8044e7cc2721090bb9cf2e3ca0","job_id":"enrich-5590a4969e0a630fe46a86e8","output_id":"a69ae2917843f695027c351305415facf9f8dc9c4692d7a772e2e4c12c418736","section":"requirements","status":"valid","value_json":"{\"nodes\":[{\"children\":[\"n1\",\"n5\",\"n6\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375), (MATH 320,340,341,345, or375), and (MATH 341,375,421,467, or521), graduate/professional standing, or declared in Mathematics VISP (undergraduate or graduate)\",\"id\":\"n0\",\"kind\":\"any\"},{\"children\":[\"n2\",\"n3\",\"n4\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375), (MATH 320,340,341,345, or375), and (MATH 341,375,421,467, or521)\",\"id\":\"n1\",\"kind\":\"all\"},{\"children\":[\"n7\",\"n8\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375)\",\"id\":\"n2\",\"kind\":\"any\"},{\"children\":[\"n9\",\"n10\",\"n11\",\"n12\",\"n13\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 320,340,341,345, or375)\",\"id\":\"n3\",\"kind\":\"any\"},{\"children\":[\"n14\",\"n15\",\"n16\",\"n17\",\"n18\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 341,375,421,467, or521)\",\"id\":\"n4\",\"kind\":\"any\"},{\"children\":[],\"condition\":\"graduate/professional standing\",\"course\":null,\"evidence\":\"graduate/professional standing\",\"id\":\"n5\",\"kind\":\"condition\"},{\"children\":[],\"condition\":\"declared in Mathematics VISP (undergraduate or graduate)\",\"course\":null,\"evidence\":\"declared in Mathematics VISP (undergraduate or graduate)\",\"id\":\"n6\",\"kind\":\"condition\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":234,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"MATH 234\",\"id\":\"n7\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"375\",\"id\":\"n8\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":320,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"320\",\"id\":\"n9\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":340,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"340\",\"id\":\"n10\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":341,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"341\",\"id\":\"n11\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":345,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"345\",\"id\":\"n12\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"375\",\"id\":\"n13\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":341,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"341\",\"id\":\"n14\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"375\",\"id\":\"n15\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":421,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"421\",\"id\":\"n16\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":467,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"467\",\"id\":\"n17\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":521,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"521\",\"id\":\"n18\",\"kind\":\"course\"}],\"notes\":[],\"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_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"66d0411c361bd0aef66e4919aab55bd91b3489351961fd90fefecf156ed31132","record_version_id":"2cf40550710fddd70eebaccedb5a4915c1bbcd8044e7cc2721090bb9cf2e3ca0","job_id":"enrich-5590a4969e0a630fe46a86e8","output_id":"a69ae2917843f695027c351305415facf9f8dc9c4692d7a772e2e4c12c418736","section":"search_profile","status":"valid","value_json":"{\"assumed_background\":[{\"evidence\":[{\"course_id\":\"MATH 341\",\"field\":\"description\",\"quote\":\"The theory of linear algebra with an introduction to proofs and proof writing. Topics include vector spaces, linear dependence, span, basis, linear transformations, kernel, image, inner products and inner product spaces, geometry, eigenvalues, eigenvectors, standard matrix factorizations.\"}],\"text\":\"Theoretical linear algebra with proofs, covering vector spaces, linear transformations, eigenvalues, and inner product spaces.\"},{\"evidence\":[{\"course_id\":\"MATH 234\",\"field\":\"description\",\"quote\":\"Introduction to calculus of functions of several variables; calculus on parameterized curves, derivatives of functions of several variables, multiple integrals, vector calculus.\"}],\"text\":\"Multivariable calculus including vector calculus and multiple integrals.\"}],\"search_phrases\":[\"advanced linear algebra\",\"Jordan canonical form\",\"spectral theorem\",\"linear transformations duality\",\"matrix norms bounded operators\"],\"skills_taught\":[{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Review of linear transformations, duality. Diagonalization of linear transformations. The Cayley Hamilton Theorem. Minimal polynomials. The Jordan canonical form.\"}],\"text\":\"Advanced linear algebra topics including diagonalization, minimal polynomials, and Jordan canonical form.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Inner product spaces, orthonormal bases and Gram-Schmidt orthogonalization. Operators on inner product spaces. Self-adjoint, unitary and positive operators. Spectral theorem.\"}],\"text\":\"Inner product space theory, orthogonalization, and spectral theorem for operators.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Singular value decomposition. Bilinear and quadratic forms. Norms, bounded linear operators, matrix norms. Basic multilinear algebra.\"}],\"text\":\"Singular value decomposition, bilinear/quadratic forms, and matrix norms.\"}],\"summary\":{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"title\",\"quote\":\"LINEAR ALGEBRA II\"},{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Review of linear transformations, duality. Diagonalization of linear transformations. The Cayley Hamilton Theorem. Minimal polynomials. The Jordan canonical form. Exponential function. Inner product spaces, orthonormal bases and Gram-Schmidt orthogonalization. Operators on inner product spaces. Self-adjoint, unitary and positive operators. Spectral theorem. Singular value decomposition. Bilinear and quadratic forms. Norms, bounded linear operators, matrix norms. Basic multilinear algebra.\"}],\"text\":\"Linear Algebra II covers advanced linear transformations, Jordan forms, spectral theory, and multilinear algebra.\"},\"topics\":[{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Review of linear transformations, duality. Diagonalization of linear transformations. The Cayley Hamilton Theorem. Minimal polynomials. The Jordan canonical form.\"}],\"text\":\"Linear transformations, duality, diagonalization, Cayley-Hamilton theorem, minimal polynomials, Jordan canonical form.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Inner product spaces, orthonormal bases and Gram-Schmidt orthogonalization. Operators on inner product spaces. Self-adjoint, unitary and positive operators. Spectral theorem.\"}],\"text\":\"Inner product spaces, orthonormal bases, Gram-Schmidt process, self-adjoint/unitary/positive operators, spectral theorem.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Singular value decomposition. Bilinear and quadratic forms. Norms, bounded linear operators, matrix norms. Basic multilinear algebra.\"}],\"text\":\"Singular value decomposition, bilinear and quadratic forms, norms, bounded linear operators, multilinear algebra.\"}]}","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_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"66d0411c361bd0aef66e4919aab55bd91b3489351961fd90fefecf156ed31132","record_version_id":"2cf40550710fddd70eebaccedb5a4915c1bbcd8044e7cc2721090bb9cf2e3ca0","job_id":"enrich-5590a4969e0a630fe46a86e8","output_id":"a69ae2917843f695027c351305415facf9f8dc9c4692d7a772e2e4c12c418736","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":"20261014T203208-0851c9a1","observed_at":"2026-10-14 17:50:09.728220+00:00","course_uid":"course_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"be0141818ec42772594be53fea1cb94c7c94bb25efc15d369609bc50aca0d128","record_version_id":"15f4d42625c42419427ccaf97589df00715a6d32ade3216292a7a7c94426231e","job_id":"enrich-6556a505c10f448d98d02466","output_id":"98d24fb8c6a7e695c13ac1d5c9ef0e23645a3b7b3220775b13f8e8b43d550dd0","section":"requirements","status":"invalid","value_json":null,"candidate_json":"{\"nodes\":[{\"children\":[\"req1\",\"req2\",\"req3\",\"req4\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375), (MATH 320,340,341,345, or375), and (MATH 341,375,421,467, or521), graduate/professional standing, or declared in Mathematics VISP (undergraduate or graduate)\",\"id\":\"root\",\"kind\":\"any\"},{\"children\":[\"c234\",\"c375_1\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375)\",\"id\":\"req1\",\"kind\":\"any\"},{\"children\":[\"c320\",\"c340\",\"c341_1\",\"c345\",\"c375_2\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 320,340,341,345, or375)\",\"id\":\"req2\",\"kind\":\"any\"},{\"children\":[\"c341_2\",\"c375_3\",\"c421\",\"c467\",\"c521\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 341,375,421,467, or521)\",\"id\":\"req3\",\"kind\":\"any\"},{\"children\":[],\"condition\":\"graduate/professional standing\",\"course\":null,\"evidence\":\"graduate/professional standing\",\"id\":\"req4\",\"kind\":\"condition\"},{\"children\":[],\"condition\":\"declared in Mathematics VISP (undergraduate or graduate)\",\"course\":null,\"evidence\":\"declared in Mathematics VISP (undergraduate or graduate)\",\"id\":\"req5\",\"kind\":\"condition\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":234,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"MATH 234\",\"id\":\"c234\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"375\",\"id\":\"c375_1\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":320,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"MATH 320\",\"id\":\"c320\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":340,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"340\",\"id\":\"c340\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":341,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"341\",\"id\":\"c341_1\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":345,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"345\",\"id\":\"c345\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"or375\",\"id\":\"c375_2\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":341,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"MATH 341\",\"id\":\"c341_2\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"375\",\"id\":\"c375_3\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":421,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"421\",\"id\":\"c421\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":467,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"467\",\"id\":\"c467\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":521,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"or521\",\"id\":\"c521\",\"kind\":\"course\"}],\"notes\":[\"Interpreted the sequence of comma-separated groups and 'and' as a single set of alternatives due to missing punctuation between the third course group and the standing/program conditions.\"],\"root\":\"root\",\"status\":\"needs_review\"}","error":"Unreachable nodes: req5; connect all conditions and exclusions to the root.","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_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"be0141818ec42772594be53fea1cb94c7c94bb25efc15d369609bc50aca0d128","record_version_id":"15f4d42625c42419427ccaf97589df00715a6d32ade3216292a7a7c94426231e","job_id":"enrich-6556a505c10f448d98d02466","output_id":"98d24fb8c6a7e695c13ac1d5c9ef0e23645a3b7b3220775b13f8e8b43d550dd0","section":"search_profile","status":"valid","value_json":"{\"activity_tags\":[{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"official_learning_outcomes\",\"outcome_index\":4,\"quote\":\"Prove or disprove statements related to the above definitions, properties, and theorems using techniques of mathematical argument (direct methods, indirect methods, constructing examples and counterexamples, induction, etc.).\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"label\":\"mathematical-reasoning\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"official_learning_outcomes\",\"outcome_index\":3,\"quote\":\"Use such theorems in the context of longer arguments by examining their premises (e.g,. establishing results on canonical forms, applying algorithms to diagonalize matrices, find canonical forms, etc.).\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"label\":\"writing\"}],\"assumed_background\":[],\"search_phrases\":[\"Jordan canonical form\",\"Spectral theorem\",\"Singular value decomposition\",\"Inner product spaces\",\"Cayley Hamilton Theorem\",\"Advanced linear algebra\",\"Bilinear and quadratic forms\",\"Minimal polynomials\"],\"skills_taught\":[{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"official_learning_outcomes\",\"outcome_index\":1,\"quote\":\"Use such definitions to argue that a mathematical object does or does not have the condition of being a particular type or having a particular property (e.g., whether a matrix is diagonalizable, whether a space is an inner product space, etc.).\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Argue whether mathematical objects possess specific properties or types using formal definitions.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"official_learning_outcomes\",\"outcome_index\":2,\"quote\":\"Recall and state the standard theorems of advanced linear algebra (e.g., the spectral theorem, Sylvester’s theorem, the Gram-Schmidt algorithm, etc.), and recall the arguments for these theorems and the underlying logic of their proofs.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"State standard theorems and recall the logic of their proofs.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"official_learning_outcomes\",\"outcome_index\":3,\"quote\":\"Use such theorems in the context of longer arguments by examining their premises (e.g,. establishing results on canonical forms, applying algorithms to diagonalize matrices, find canonical forms, etc.).\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Apply theorems in longer arguments to establish results on canonical forms and apply algorithms.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"official_learning_outcomes\",\"outcome_index\":4,\"quote\":\"Prove or disprove statements related to the above definitions, properties, and theorems using techniques of mathematical argument (direct methods, indirect methods, constructing examples and counterexamples, induction, etc.).\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Prove or disprove mathematical statements using direct and indirect methods, examples, and induction.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"official_learning_outcomes\",\"outcome_index\":5,\"quote\":\"Convey arguments using English and appropriate mathematical terminology, notation and grammar.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Convey mathematical arguments using appropriate terminology, notation, and grammar.\"}],\"summary\":{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"title\",\"quote\":\"LINEAR ALGEBRA II\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"},{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Review of linear transformations, duality. Diagonalization of linear transformations. The Cayley Hamilton Theorem. Minimal polynomials. The Jordan canonical form. Exponential function. Inner product spaces, orthonormal bases and Gram-Schmidt orthogonalization. Operators on inner product spaces. Self-adjoint, unitary and positive operators. Spectral theorem. Singular value decomposition. Bilinear and quadratic forms. Norms, bounded linear operators, matrix norms. Basic multilinear algebra.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Linear Algebra II covers diagonalization, Jordan canonical form, inner product spaces, spectral theorem, SVD, and bilinear forms.\"},\"topics\":[{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Diagonalization of linear transformations. The Cayley Hamilton Theorem. Minimal polynomials. The Jordan canonical form.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Diagonalization, Cayley-Hamilton theorem, minimal polynomials, and Jordan canonical form.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Inner product spaces, orthonormal bases and Gram-Schmidt orthogonalization. Operators on inner product spaces. Self-adjoint, unitary and positive operators. Spectral theorem. Singular value decomposition.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Inner product spaces, Gram-Schmidt orthogonalization, self-adjoint/unitary/positive operators, spectral theorem, and SVD.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Bilinear and quadratic forms. Norms, bounded linear operators, matrix norms. Basic multilinear algebra.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Bilinear and quadratic forms, norms, bounded linear operators, matrix norms, and basic multilinear algebra.\"}]}","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_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"be0141818ec42772594be53fea1cb94c7c94bb25efc15d369609bc50aca0d128","record_version_id":"15f4d42625c42419427ccaf97589df00715a6d32ade3216292a7a7c94426231e","job_id":"enrich-6556a505c10f448d98d02466","output_id":"98d24fb8c6a7e695c13ac1d5c9ef0e23645a3b7b3220775b13f8e8b43d550dd0","section":"student_experience","status":"valid","value_json":"{\"status\":\"supported\",\"themes\":[{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"Here are the facts: HW solutions: nonexistence sample tests: promised but nonexistence project guideline/feedback: none project grading: you could do less work and got higher grade than ppl who did more work office hour: an hour each week and shared among a 700 math (got time for a vac in fl but no time for separate oh for different course)\",\"course_id\":\"MATH 540\",\"date\":\"2021-05-08 04:04:53 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"95fd7b0a7b1621df1f50c597\",\"instructor_id\":\"rmp:802342\",\"instructor_name\":\"Andrei Caldararu\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM0NzM5NDEx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/802342\"},{\"comment\":\"He literally provided nothing! No hw solution (basically ignored numerous requests from student asking for hw solutions), No practice tests though promised one( one big exam and he said study everything), No clear grading guideline and couldn't offer cohesive reasons for project's grade ( basically sorry I don't have a rubric)\",\"course_id\":\"MATH 540\",\"date\":\"2021-05-08 04:11:04 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"b012d8c5a5ccc02b8c8fe5b1\",\"instructor_id\":\"rmp:802342\",\"instructor_name\":\"Andrei Caldararu\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM0NzM5NDQz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/802342\"}],\"evidence_count\":2,\"review_ids\":[\"95fd7b0a7b1621df1f50c597\",\"b012d8c5a5ccc02b8c8fe5b1\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:802342\",\"name\":\"Andrei Caldararu\"}],\"review_year_end\":\"2021\",\"review_year_start\":\"2021\"},\"sentiment\":\"negative\",\"subject_instructor_id\":\"rmp:802342\",\"summary\":\"Cited reviews criticize Andrei Caldararu for providing no homework solutions, practice tests, or clear grading guidelines.\"},{\"aspect\":\"organization\",\"evidence\":[{\"comment\":\"The single worst professor I've ever had, not even close. You will not learn anything; his course is organized extremely poorly with awful explanations and no standards for work. It's evident how little he cares. I guess one nice thing about his total lack of effort is that he will give you a good grade no matter what, but you won't learn a thing.\",\"course_id\":\"MATH 540\",\"date\":\"2025-10-06 04:17:15 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"67186a9a8e4f9b8bafa3a258\",\"instructor_id\":\"rmp:1522421\",\"instructor_name\":\"Shamgar Gurevich\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTQxNjkwMDQx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1522421\"}],\"evidence_count\":1,\"review_ids\":[\"67186a9a8e4f9b8bafa3a258\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1522421\",\"name\":\"Shamgar Gurevich\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2025\"},\"sentiment\":\"negative\",\"subject_instructor_id\":\"rmp:1522421\",\"summary\":\"One reviewer describes Shamgar Gurevich's course as organized extremely poorly with awful explanations.\"},{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"He introduces the linear algebra from Categroy theory. He massivly uses ring theory, or natural isomorphism to introduces theorems in Linear Algebra. It's worth nothing to take this course to understand how to apply linear algebra on engineering. But it's very useful if you view Linear Algebra II as an introduction to math structure. \",\"course_id\":\"MATH 540\",\"date\":\"2025-12-15 01:38:22 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"1863c1c25787d494b4129b8d\",\"instructor_id\":\"rmp:1522421\",\"instructor_name\":\"Shamgar Gurevich\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQyMjUwOTk3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1522421\"}],\"evidence_count\":1,\"review_ids\":[\"1863c1c25787d494b4129b8d\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1522421\",\"name\":\"Shamgar Gurevich\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2025\"},\"sentiment\":\"positive\",\"subject_instructor_id\":\"rmp:1522421\",\"summary\":\"One reviewer finds Shamgar Gurevich's approach using category theory and ring theory useful for understanding math structure.\"},{\"aspect\":\"workload\",\"evidence\":[{\"comment\":\"He failed to cover many of the topics mentioned in the syllabus, he spent most of his time talking about the basics of abstract algebra, number theory, and philosiphising on the best way to teach math. He was extremely combative with students, sometimes spending entire class periods arguing with students during their in-class presentations.\",\"course_id\":\"MATH 540\",\"date\":\"2026-01-09 16:55:18 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"8300debf7611860d2c1a1cba\",\"instructor_id\":\"rmp:1522421\",\"instructor_name\":\"Shamgar Gurevich\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTQyNDY3NzU3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1522421\"}],\"evidence_count\":1,\"review_ids\":[\"8300debf7611860d2c1a1cba\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1522421\",\"name\":\"Shamgar Gurevich\"}],\"review_year_end\":\"2026\",\"review_year_start\":\"2026\"},\"sentiment\":\"negative\",\"subject_instructor_id\":\"rmp:1522421\",\"summary\":\"One reviewer states Shamgar Gurevich failed to cover many syllabus topics and spent time on abstract algebra basics.\"}]}","candidate_json":null,"error":null,"model":"Qwen/Qwen3.8-27B","model_revision":"1d4bf0f2ff6012fd82039f2fa52739d0dd7c60c0","selected_for_release":false},{"run_id":"20260906T231458-5fdd2fff","observed_at":"2026-09-06 23:14:58.172943+00:00","course_uid":"course_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"66d0411c361bd0aef66e4919aab55bd91b3489351961fd90fefecf156ed31132","record_version_id":"2cf40550710fddd70eebaccedb5a4915c1bbcd8044e7cc2721090bb9cf2e3ca0","job_id":"enrich-789789da373eecc1ff75f626","output_id":"0a434f7400450ed16ee802d8e147b922b56cfd77f5e04f88f11cfcd421561067","section":"requirements","status":"needs_review","value_json":"{\"nodes\":[{\"children\":[\"n1\",\"n5\",\"n6\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375), (MATH 320,340,341,345, or375), and (MATH 341,375,421,467, or521), graduate/professional standing, or declared in Mathematics VISP (undergraduate or graduate)\",\"id\":\"n0\",\"kind\":\"any\"},{\"children\":[\"n2\",\"n3\",\"n4\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375), (MATH 320,340,341,345, or375), and (MATH 341,375,421,467, or521)\",\"id\":\"n1\",\"kind\":\"all\"},{\"children\":[\"n7\",\"n8\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375)\",\"id\":\"n2\",\"kind\":\"any\"},{\"children\":[\"n9\",\"n10\",\"n11\",\"n12\",\"n13\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 320,340,341,345, or375)\",\"id\":\"n3\",\"kind\":\"any\"},{\"children\":[\"n14\",\"n15\",\"n16\",\"n17\",\"n18\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 341,375,421,467, or521)\",\"id\":\"n4\",\"kind\":\"any\"},{\"children\":[],\"condition\":\"graduate/professional standing\",\"course\":null,\"evidence\":\"graduate/professional standing\",\"id\":\"n5\",\"kind\":\"condition\"},{\"children\":[],\"condition\":\"declared in Mathematics VISP (undergraduate or graduate)\",\"course\":null,\"evidence\":\"declared in Mathematics VISP (undergraduate or graduate)\",\"id\":\"n6\",\"kind\":\"condition\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":234,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"MATH 234\",\"id\":\"n7\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"375\",\"id\":\"n8\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":320,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"320\",\"id\":\"n9\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":340,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"340\",\"id\":\"n10\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":341,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"341\",\"id\":\"n11\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":345,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"345\",\"id\":\"n12\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"375\",\"id\":\"n13\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":341,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"341\",\"id\":\"n14\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"375\",\"id\":\"n15\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":421,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"421\",\"id\":\"n16\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":467,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"467\",\"id\":\"n17\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":521,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"521\",\"id\":\"n18\",\"kind\":\"course\"}],\"notes\":[],\"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_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"66d0411c361bd0aef66e4919aab55bd91b3489351961fd90fefecf156ed31132","record_version_id":"2cf40550710fddd70eebaccedb5a4915c1bbcd8044e7cc2721090bb9cf2e3ca0","job_id":"enrich-789789da373eecc1ff75f626","output_id":"0a434f7400450ed16ee802d8e147b922b56cfd77f5e04f88f11cfcd421561067","section":"search_profile","status":"valid","value_json":"{\"assumed_background\":[{\"evidence\":[{\"course_id\":\"MATH 341\",\"field\":\"description\",\"quote\":\"The theory of linear algebra with an introduction to proofs and proof writing. Topics include vector spaces, linear dependence, span, basis, linear transformations, kernel, image, inner products and inner product spaces, geometry, eigenvalues, eigenvectors, standard matrix factorizations.\"}],\"text\":\"Theoretical linear algebra with proofs, covering vector spaces, linear transformations, eigenvalues, and inner product spaces.\"},{\"evidence\":[{\"course_id\":\"MATH 234\",\"field\":\"description\",\"quote\":\"Introduction to calculus of functions of several variables; calculus on parameterized curves, derivatives of functions of several variables, multiple integrals, vector calculus.\"}],\"text\":\"Multivariable calculus including vector calculus and multiple integrals.\"}],\"search_phrases\":[\"advanced linear algebra\",\"Jordan canonical form\",\"spectral theorem\",\"linear transformations duality\",\"matrix norms bounded operators\"],\"skills_taught\":[{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Review of linear transformations, duality. Diagonalization of linear transformations. The Cayley Hamilton Theorem. Minimal polynomials. The Jordan canonical form.\"}],\"text\":\"Advanced linear algebra topics including diagonalization, minimal polynomials, and Jordan canonical form.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Inner product spaces, orthonormal bases and Gram-Schmidt orthogonalization. Operators on inner product spaces. Self-adjoint, unitary and positive operators. Spectral theorem.\"}],\"text\":\"Inner product space theory, orthogonalization, and spectral theorem for operators.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Singular value decomposition. Bilinear and quadratic forms. Norms, bounded linear operators, matrix norms. Basic multilinear algebra.\"}],\"text\":\"Singular value decomposition, bilinear/quadratic forms, and matrix norms.\"}],\"summary\":{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"title\",\"quote\":\"LINEAR ALGEBRA II\"},{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Review of linear transformations, duality. Diagonalization of linear transformations. The Cayley Hamilton Theorem. Minimal polynomials. The Jordan canonical form. Exponential function. Inner product spaces, orthonormal bases and Gram-Schmidt orthogonalization. Operators on inner product spaces. Self-adjoint, unitary and positive operators. Spectral theorem. Singular value decomposition. Bilinear and quadratic forms. Norms, bounded linear operators, matrix norms. Basic multilinear algebra.\"}],\"text\":\"Linear Algebra II covers advanced linear transformations, Jordan forms, spectral theory, and multilinear algebra.\"},\"topics\":[{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Review of linear transformations, duality. Diagonalization of linear transformations. The Cayley Hamilton Theorem. Minimal polynomials. The Jordan canonical form.\"}],\"text\":\"Linear transformations, duality, diagonalization, Cayley-Hamilton theorem, minimal polynomials, Jordan canonical form.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Inner product spaces, orthonormal bases and Gram-Schmidt orthogonalization. Operators on inner product spaces. Self-adjoint, unitary and positive operators. Spectral theorem.\"}],\"text\":\"Inner product spaces, orthonormal bases, Gram-Schmidt process, self-adjoint/unitary/positive operators, spectral theorem.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Singular value decomposition. Bilinear and quadratic forms. Norms, bounded linear operators, matrix norms. Basic multilinear algebra.\"}],\"text\":\"Singular value decomposition, bilinear and quadratic forms, norms, bounded linear operators, multilinear algebra.\"}]}","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_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"66d0411c361bd0aef66e4919aab55bd91b3489351961fd90fefecf156ed31132","record_version_id":"2cf40550710fddd70eebaccedb5a4915c1bbcd8044e7cc2721090bb9cf2e3ca0","job_id":"enrich-789789da373eecc1ff75f626","output_id":"0a434f7400450ed16ee802d8e147b922b56cfd77f5e04f88f11cfcd421561067","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":"20261014T203208-0851c9a1","observed_at":"2026-10-14 17:50:09.728220+00:00","course_uid":"course_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"be0141818ec42772594be53fea1cb94c7c94bb25efc15d369609bc50aca0d128","record_version_id":"15f4d42625c42419427ccaf97589df00715a6d32ade3216292a7a7c94426231e","job_id":"enrich-79348710a077dbb34341f483","output_id":"be6382751dc7ec1fa4ec98dda3517663bb50c8a694b75a96d38624faf4a3fa9d","section":"requirements","status":"needs_review","value_json":"{\"nodes\":[{\"children\":[\"course_seq\",\"cond_grad\",\"cond_visp\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375), (MATH 320,340,341,345, or375), and (MATH 341,375,421,467, or521), graduate/professional standing, or declared in Mathematics VISP (undergraduate or graduate)\",\"id\":\"root\",\"kind\":\"any\"},{\"children\":[\"g1\",\"g2\",\"g3\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375), (MATH 320,340,341,345, or375), and (MATH 341,375,421,467, or521)\",\"id\":\"course_seq\",\"kind\":\"all\"},{\"children\":[\"c234\",\"c375_1\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375)\",\"id\":\"g1\",\"kind\":\"any\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":234,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"MATH 234\",\"id\":\"c234\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"375\",\"id\":\"c375_1\",\"kind\":\"course\"},{\"children\":[\"c320\",\"c340\",\"c341_1\",\"c345\",\"c375_2\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 320,340,341,345, or375)\",\"id\":\"g2\",\"kind\":\"any\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":320,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"MATH 320\",\"id\":\"c320\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":340,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"340\",\"id\":\"c340\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":341,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"341\",\"id\":\"c341_1\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":345,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"345\",\"id\":\"c345\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"or375\",\"id\":\"c375_2\",\"kind\":\"course\"},{\"children\":[\"c341_2\",\"c375_3\",\"c421\",\"c467\",\"c521\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 341,375,421,467, or521)\",\"id\":\"g3\",\"kind\":\"any\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":341,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"MATH 341\",\"id\":\"c341_2\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"375\",\"id\":\"c375_3\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":421,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"421\",\"id\":\"c421\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":467,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"467\",\"id\":\"c467\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":521,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"or521\",\"id\":\"c521\",\"kind\":\"course\"},{\"children\":[],\"condition\":\"graduate/professional standing\",\"course\":null,\"evidence\":\"graduate/professional standing\",\"id\":\"cond_grad\",\"kind\":\"condition\"},{\"children\":[],\"condition\":\"declared in Mathematics VISP (undergraduate or graduate)\",\"course\":null,\"evidence\":\"declared in Mathematics VISP (undergraduate or graduate)\",\"id\":\"cond_visp\",\"kind\":\"condition\"}],\"notes\":[\"Treated the three parenthesized course groups as one combined alternative because they are conjoined by “and”; the trailing standing/declaration phrases are alternatives to that sequence.\"],\"root\":\"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_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"be0141818ec42772594be53fea1cb94c7c94bb25efc15d369609bc50aca0d128","record_version_id":"15f4d42625c42419427ccaf97589df00715a6d32ade3216292a7a7c94426231e","job_id":"enrich-79348710a077dbb34341f483","output_id":"be6382751dc7ec1fa4ec98dda3517663bb50c8a694b75a96d38624faf4a3fa9d","section":"search_profile","status":"valid","value_json":"{\"activity_tags\":[{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"official_learning_outcomes\",\"outcome_index\":4,\"quote\":\"Prove or disprove statements related to the above definitions, properties, and theorems using techniques of mathematical argument (direct methods, indirect methods, constructing examples and counterexamples, induction, etc.).\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"label\":\"mathematical-reasoning\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"official_learning_outcomes\",\"outcome_index\":3,\"quote\":\"Use such theorems in the context of longer arguments by examining their premises (e.g,. establishing results on canonical forms, applying algorithms to diagonalize matrices, find canonical forms, etc.).\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"label\":\"writing\"}],\"assumed_background\":[],\"search_phrases\":[\"Jordan canonical form\",\"Spectral theorem\",\"Singular value decomposition\",\"Inner product spaces\",\"Cayley Hamilton Theorem\",\"Advanced linear algebra\",\"Bilinear and quadratic forms\",\"Minimal polynomials\"],\"skills_taught\":[{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"official_learning_outcomes\",\"outcome_index\":1,\"quote\":\"Use such definitions to argue that a mathematical object does or does not have the condition of being a particular type or having a particular property (e.g., whether a matrix is diagonalizable, whether a space is an inner product space, etc.).\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Argue whether mathematical objects possess specific properties or types using formal definitions.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"official_learning_outcomes\",\"outcome_index\":2,\"quote\":\"Recall and state the standard theorems of advanced linear algebra (e.g., the spectral theorem, Sylvester’s theorem, the Gram-Schmidt algorithm, etc.), and recall the arguments for these theorems and the underlying logic of their proofs.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"State standard theorems and recall the logic of their proofs.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"official_learning_outcomes\",\"outcome_index\":3,\"quote\":\"Use such theorems in the context of longer arguments by examining their premises (e.g,. establishing results on canonical forms, applying algorithms to diagonalize matrices, find canonical forms, etc.).\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Apply theorems in longer arguments to establish results on canonical forms and apply algorithms.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"official_learning_outcomes\",\"outcome_index\":4,\"quote\":\"Prove or disprove statements related to the above definitions, properties, and theorems using techniques of mathematical argument (direct methods, indirect methods, constructing examples and counterexamples, induction, etc.).\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Prove or disprove mathematical statements using direct and indirect methods, examples, and induction.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"official_learning_outcomes\",\"outcome_index\":5,\"quote\":\"Convey arguments using English and appropriate mathematical terminology, notation and grammar.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Convey mathematical arguments using appropriate terminology, notation, and grammar.\"}],\"summary\":{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"title\",\"quote\":\"LINEAR ALGEBRA II\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"},{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Review of linear transformations, duality. Diagonalization of linear transformations. The Cayley Hamilton Theorem. Minimal polynomials. The Jordan canonical form. Exponential function. Inner product spaces, orthonormal bases and Gram-Schmidt orthogonalization. Operators on inner product spaces. Self-adjoint, unitary and positive operators. Spectral theorem. Singular value decomposition. Bilinear and quadratic forms. Norms, bounded linear operators, matrix norms. Basic multilinear algebra.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Linear Algebra II covers diagonalization, Jordan canonical form, inner product spaces, spectral theorem, SVD, and bilinear forms.\"},\"topics\":[{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Diagonalization of linear transformations. The Cayley Hamilton Theorem. Minimal polynomials. The Jordan canonical form.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Diagonalization, Cayley-Hamilton theorem, minimal polynomials, and Jordan canonical form.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Inner product spaces, orthonormal bases and Gram-Schmidt orthogonalization. Operators on inner product spaces. Self-adjoint, unitary and positive operators. Spectral theorem. Singular value decomposition.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Inner product spaces, Gram-Schmidt orthogonalization, self-adjoint/unitary/positive operators, spectral theorem, and SVD.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Bilinear and quadratic forms. Norms, bounded linear operators, matrix norms. Basic multilinear algebra.\",\"source_url\":\"https://guide.wisc.edu/courses/math/\"}],\"text\":\"Bilinear and quadratic forms, norms, bounded linear operators, matrix norms, and basic multilinear algebra.\"}]}","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_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"be0141818ec42772594be53fea1cb94c7c94bb25efc15d369609bc50aca0d128","record_version_id":"15f4d42625c42419427ccaf97589df00715a6d32ade3216292a7a7c94426231e","job_id":"enrich-79348710a077dbb34341f483","output_id":"be6382751dc7ec1fa4ec98dda3517663bb50c8a694b75a96d38624faf4a3fa9d","section":"student_experience","status":"valid","value_json":"{\"status\":\"supported\",\"themes\":[{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"Here are the facts: HW solutions: nonexistence sample tests: promised but nonexistence project guideline/feedback: none project grading: you could do less work and got higher grade than ppl who did more work office hour: an hour each week and shared among a 700 math (got time for a vac in fl but no time for separate oh for different course)\",\"course_id\":\"MATH 540\",\"date\":\"2021-05-08 04:04:53 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"95fd7b0a7b1621df1f50c597\",\"instructor_id\":\"rmp:802342\",\"instructor_name\":\"Andrei Caldararu\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM0NzM5NDEx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/802342\"},{\"comment\":\"He literally provided nothing! No hw solution (basically ignored numerous requests from student asking for hw solutions), No practice tests though promised one( one big exam and he said study everything), No clear grading guideline and couldn't offer cohesive reasons for project's grade ( basically sorry I don't have a rubric)\",\"course_id\":\"MATH 540\",\"date\":\"2021-05-08 04:11:04 +0000 UTC\",\"difficulty_rating\":4,\"id\":\"b012d8c5a5ccc02b8c8fe5b1\",\"instructor_id\":\"rmp:802342\",\"instructor_name\":\"Andrei Caldararu\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTM0NzM5NDQz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/802342\"}],\"evidence_count\":2,\"review_ids\":[\"95fd7b0a7b1621df1f50c597\",\"b012d8c5a5ccc02b8c8fe5b1\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:802342\",\"name\":\"Andrei Caldararu\"}],\"review_year_end\":\"2021\",\"review_year_start\":\"2021\"},\"sentiment\":\"negative\",\"subject_instructor_id\":\"rmp:802342\",\"summary\":\"Cited reviews criticize Andrei Caldararu for providing no homework solutions, practice tests, or clear grading guidelines.\"},{\"aspect\":\"organization\",\"evidence\":[{\"comment\":\"The single worst professor I've ever had, not even close. You will not learn anything; his course is organized extremely poorly with awful explanations and no standards for work. It's evident how little he cares. I guess one nice thing about his total lack of effort is that he will give you a good grade no matter what, but you won't learn a thing.\",\"course_id\":\"MATH 540\",\"date\":\"2025-10-06 04:17:15 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"67186a9a8e4f9b8bafa3a258\",\"instructor_id\":\"rmp:1522421\",\"instructor_name\":\"Shamgar Gurevich\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTQxNjkwMDQx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1522421\"}],\"evidence_count\":1,\"review_ids\":[\"67186a9a8e4f9b8bafa3a258\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1522421\",\"name\":\"Shamgar Gurevich\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2025\"},\"sentiment\":\"negative\",\"subject_instructor_id\":\"rmp:1522421\",\"summary\":\"One reviewer describes Shamgar Gurevich's course as organized extremely poorly with awful explanations.\"},{\"aspect\":\"teaching_clarity\",\"evidence\":[{\"comment\":\"He introduces the linear algebra from Categroy theory. He massivly uses ring theory, or natural isomorphism to introduces theorems in Linear Algebra. It's worth nothing to take this course to understand how to apply linear algebra on engineering. But it's very useful if you view Linear Algebra II as an introduction to math structure. \",\"course_id\":\"MATH 540\",\"date\":\"2025-12-15 01:38:22 +0000 UTC\",\"difficulty_rating\":5,\"id\":\"1863c1c25787d494b4129b8d\",\"instructor_id\":\"rmp:1522421\",\"instructor_name\":\"Shamgar Gurevich\",\"quality_rating\":5,\"source_review_id\":\"UmF0aW5nLTQyMjUwOTk3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1522421\"}],\"evidence_count\":1,\"review_ids\":[\"1863c1c25787d494b4129b8d\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1522421\",\"name\":\"Shamgar Gurevich\"}],\"review_year_end\":\"2025\",\"review_year_start\":\"2025\"},\"sentiment\":\"positive\",\"subject_instructor_id\":\"rmp:1522421\",\"summary\":\"One reviewer finds Shamgar Gurevich's approach using category theory and ring theory useful for understanding math structure.\"},{\"aspect\":\"workload\",\"evidence\":[{\"comment\":\"He failed to cover many of the topics mentioned in the syllabus, he spent most of his time talking about the basics of abstract algebra, number theory, and philosiphising on the best way to teach math. He was extremely combative with students, sometimes spending entire class periods arguing with students during their in-class presentations.\",\"course_id\":\"MATH 540\",\"date\":\"2026-01-09 16:55:18 +0000 UTC\",\"difficulty_rating\":2,\"id\":\"8300debf7611860d2c1a1cba\",\"instructor_id\":\"rmp:1522421\",\"instructor_name\":\"Shamgar Gurevich\",\"quality_rating\":1,\"source_review_id\":\"UmF0aW5nLTQyNDY3NzU3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1522421\"}],\"evidence_count\":1,\"review_ids\":[\"8300debf7611860d2c1a1cba\"],\"scope\":{\"historical\":true,\"instructors\":[{\"id\":\"rmp:1522421\",\"name\":\"Shamgar Gurevich\"}],\"review_year_end\":\"2026\",\"review_year_start\":\"2026\"},\"sentiment\":\"negative\",\"subject_instructor_id\":\"rmp:1522421\",\"summary\":\"One reviewer states Shamgar Gurevich failed to cover many syllabus topics and spent time on abstract algebra basics.\"}]}","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_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"66d0411c361bd0aef66e4919aab55bd91b3489351961fd90fefecf156ed31132","record_version_id":"2cf40550710fddd70eebaccedb5a4915c1bbcd8044e7cc2721090bb9cf2e3ca0","job_id":"enrich-8b774950c2b6adfdc46d1b82","output_id":"4178a1a2441a2a2330ebfaa4eb732871094fe5d8c9f0d26bc57ad37e31ec7388","section":"requirements","status":"valid","value_json":"{\"nodes\":[{\"children\":[\"n1\",\"n5\",\"n6\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375), (MATH 320,340,341,345, or375), and (MATH 341,375,421,467, or521), graduate/professional standing, or declared in Mathematics VISP (undergraduate or graduate)\",\"id\":\"n0\",\"kind\":\"any\"},{\"children\":[\"n2\",\"n3\",\"n4\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375), (MATH 320,340,341,345, or375), and (MATH 341,375,421,467, or521)\",\"id\":\"n1\",\"kind\":\"all\"},{\"children\":[\"n7\",\"n8\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375)\",\"id\":\"n2\",\"kind\":\"any\"},{\"children\":[\"n9\",\"n10\",\"n11\",\"n12\",\"n13\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 320,340,341,345, or375)\",\"id\":\"n3\",\"kind\":\"any\"},{\"children\":[\"n14\",\"n15\",\"n16\",\"n17\",\"n18\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 341,375,421,467, or521)\",\"id\":\"n4\",\"kind\":\"any\"},{\"children\":[],\"condition\":\"graduate/professional standing\",\"course\":null,\"evidence\":\"graduate/professional standing\",\"id\":\"n5\",\"kind\":\"condition\"},{\"children\":[],\"condition\":\"declared in Mathematics VISP (undergraduate or graduate)\",\"course\":null,\"evidence\":\"declared in Mathematics VISP (undergraduate or graduate)\",\"id\":\"n6\",\"kind\":\"condition\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":234,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"MATH 234\",\"id\":\"n7\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"375\",\"id\":\"n8\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":320,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"320\",\"id\":\"n9\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":340,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"340\",\"id\":\"n10\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":341,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"341\",\"id\":\"n11\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":345,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"345\",\"id\":\"n12\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"375\",\"id\":\"n13\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":341,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"341\",\"id\":\"n14\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"375\",\"id\":\"n15\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":421,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"421\",\"id\":\"n16\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":467,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"467\",\"id\":\"n17\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":521,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"521\",\"id\":\"n18\",\"kind\":\"course\"}],\"notes\":[],\"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_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"66d0411c361bd0aef66e4919aab55bd91b3489351961fd90fefecf156ed31132","record_version_id":"2cf40550710fddd70eebaccedb5a4915c1bbcd8044e7cc2721090bb9cf2e3ca0","job_id":"enrich-8b774950c2b6adfdc46d1b82","output_id":"4178a1a2441a2a2330ebfaa4eb732871094fe5d8c9f0d26bc57ad37e31ec7388","section":"search_profile","status":"valid","value_json":"{\"assumed_background\":[{\"evidence\":[{\"course_id\":\"MATH 341\",\"field\":\"description\",\"quote\":\"The theory of linear algebra with an introduction to proofs and proof writing. Topics include vector spaces, linear dependence, span, basis, linear transformations, kernel, image, inner products and inner product spaces, geometry, eigenvalues, eigenvectors, standard matrix factorizations.\"}],\"text\":\"Theoretical linear algebra with proofs, covering vector spaces, linear transformations, eigenvalues, and inner product spaces.\"},{\"evidence\":[{\"course_id\":\"MATH 234\",\"field\":\"description\",\"quote\":\"Introduction to calculus of functions of several variables; calculus on parameterized curves, derivatives of functions of several variables, multiple integrals, vector calculus.\"}],\"text\":\"Multivariable calculus including vector calculus and multiple integrals.\"}],\"search_phrases\":[\"advanced linear algebra\",\"Jordan canonical form\",\"spectral theorem\",\"linear transformations duality\",\"matrix norms bounded operators\"],\"skills_taught\":[{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Review of linear transformations, duality. Diagonalization of linear transformations. The Cayley Hamilton Theorem. Minimal polynomials. The Jordan canonical form.\"}],\"text\":\"Advanced linear algebra topics including diagonalization, minimal polynomials, and Jordan canonical form.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Inner product spaces, orthonormal bases and Gram-Schmidt orthogonalization. Operators on inner product spaces. Self-adjoint, unitary and positive operators. Spectral theorem.\"}],\"text\":\"Inner product space theory, orthogonalization, and spectral theorem for operators.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Singular value decomposition. Bilinear and quadratic forms. Norms, bounded linear operators, matrix norms. Basic multilinear algebra.\"}],\"text\":\"Singular value decomposition, bilinear/quadratic forms, and matrix norms.\"}],\"summary\":{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"title\",\"quote\":\"LINEAR ALGEBRA II\"},{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Review of linear transformations, duality. Diagonalization of linear transformations. The Cayley Hamilton Theorem. Minimal polynomials. The Jordan canonical form. Exponential function. Inner product spaces, orthonormal bases and Gram-Schmidt orthogonalization. Operators on inner product spaces. Self-adjoint, unitary and positive operators. Spectral theorem. Singular value decomposition. Bilinear and quadratic forms. Norms, bounded linear operators, matrix norms. Basic multilinear algebra.\"}],\"text\":\"Linear Algebra II covers advanced linear transformations, Jordan forms, spectral theory, and multilinear algebra.\"},\"topics\":[{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Review of linear transformations, duality. Diagonalization of linear transformations. The Cayley Hamilton Theorem. Minimal polynomials. The Jordan canonical form.\"}],\"text\":\"Linear transformations, duality, diagonalization, Cayley-Hamilton theorem, minimal polynomials, Jordan canonical form.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Inner product spaces, orthonormal bases and Gram-Schmidt orthogonalization. Operators on inner product spaces. Self-adjoint, unitary and positive operators. Spectral theorem.\"}],\"text\":\"Inner product spaces, orthonormal bases, Gram-Schmidt process, self-adjoint/unitary/positive operators, spectral theorem.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Singular value decomposition. Bilinear and quadratic forms. Norms, bounded linear operators, matrix norms. Basic multilinear algebra.\"}],\"text\":\"Singular value decomposition, bilinear and quadratic forms, norms, bounded linear operators, multilinear algebra.\"}]}","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_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"66d0411c361bd0aef66e4919aab55bd91b3489351961fd90fefecf156ed31132","record_version_id":"2cf40550710fddd70eebaccedb5a4915c1bbcd8044e7cc2721090bb9cf2e3ca0","job_id":"enrich-8b774950c2b6adfdc46d1b82","output_id":"4178a1a2441a2a2330ebfaa4eb732871094fe5d8c9f0d26bc57ad37e31ec7388","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_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"66d0411c361bd0aef66e4919aab55bd91b3489351961fd90fefecf156ed31132","record_version_id":"2cf40550710fddd70eebaccedb5a4915c1bbcd8044e7cc2721090bb9cf2e3ca0","job_id":"enrich-8b774950c2b6adfdc46d1b82","output_id":"4178a1a2441a2a2330ebfaa4eb732871094fe5d8c9f0d26bc57ad37e31ec7388","section":"student_summary","status":"invalid","value_json":"{\"context_hash\":\"9cfeffc34947ee1553ae01a39f7e283196523c52d42b41664458734e56131e42\",\"course_id\":\"MATH 540\",\"current_instructors\":[{\"instructor_uid\":\"instructor_15048860d250b5e199b5ce77\",\"message\":\"No course-specific reviews available\",\"name\":\"Shamgar Gurevitch\",\"review_status\":\"no_course_reviews\",\"rmp_instructor_id\":null,\"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 540\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1244\",\"type\":\"grade\"},{\"course_id\":\"MATH 540\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1252\",\"type\":\"grade\"},{\"course_id\":\"MATH 540\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"}],\"text\":\"Recent recorded grades — Spring 2024: 3.39 GPA, 69.6% A/AB (n=23 letter grades); Fall 2024: 3.44 GPA, 70.6% A/AB (n=17 letter grades); Fall 2025: 4.00 GPA, 100.0% A/AB (n=33 letter grades).\"}],\"student_experience\":[],\"task_hash\":\"74fb0997943e888960bbc9e47db8c4fd12e4292d55c20509d8d89db6a9910f68\",\"teaching_history\":[{\"citations\":[{\"course_id\":\"MATH 540\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"source_record\":{\"entity_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1194\",\"type\":\"grade\"},{\"course_id\":\"MATH 540\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"source_record\":{\"entity_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1204\",\"type\":\"grade\"},{\"course_id\":\"MATH 540\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"source_record\":{\"entity_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"}],\"text\":\"SHAMGAR GUREVICH is recorded teaching in Spring 2019, Spring 2020, Fall 2025. 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_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"66d0411c361bd0aef66e4919aab55bd91b3489351961fd90fefecf156ed31132","record_version_id":"2cf40550710fddd70eebaccedb5a4915c1bbcd8044e7cc2721090bb9cf2e3ca0","job_id":"enrich-a3cb0aa05223adab939cac3a","output_id":"36f2f5faa8bf7a7a34e806d4921c19ad9f2fefdaf13fb6a3b9f6f3b3cce52408","section":"requirements","status":"valid","value_json":"{\"nodes\":[{\"children\":[\"n1\",\"n5\",\"n6\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375), (MATH 320,340,341,345, or375), and (MATH 341,375,421,467, or521), graduate/professional standing, or declared in Mathematics VISP (undergraduate or graduate)\",\"id\":\"n0\",\"kind\":\"any\"},{\"children\":[\"n2\",\"n3\",\"n4\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375), (MATH 320,340,341,345, or375), and (MATH 341,375,421,467, or521)\",\"id\":\"n1\",\"kind\":\"all\"},{\"children\":[\"n7\",\"n8\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375)\",\"id\":\"n2\",\"kind\":\"any\"},{\"children\":[\"n9\",\"n10\",\"n11\",\"n12\",\"n13\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 320,340,341,345, or375)\",\"id\":\"n3\",\"kind\":\"any\"},{\"children\":[\"n14\",\"n15\",\"n16\",\"n17\",\"n18\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 341,375,421,467, or521)\",\"id\":\"n4\",\"kind\":\"any\"},{\"children\":[],\"condition\":\"graduate/professional standing\",\"course\":null,\"evidence\":\"graduate/professional standing\",\"id\":\"n5\",\"kind\":\"condition\"},{\"children\":[],\"condition\":\"declared in Mathematics VISP (undergraduate or graduate)\",\"course\":null,\"evidence\":\"declared in Mathematics VISP (undergraduate or graduate)\",\"id\":\"n6\",\"kind\":\"condition\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":234,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"MATH 234\",\"id\":\"n7\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"375\",\"id\":\"n8\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":320,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"320\",\"id\":\"n9\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":340,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"340\",\"id\":\"n10\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":341,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"341\",\"id\":\"n11\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":345,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"345\",\"id\":\"n12\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"375\",\"id\":\"n13\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":341,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"341\",\"id\":\"n14\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"375\",\"id\":\"n15\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":421,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"421\",\"id\":\"n16\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":467,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"467\",\"id\":\"n17\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":521,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"521\",\"id\":\"n18\",\"kind\":\"course\"}],\"notes\":[],\"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_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"66d0411c361bd0aef66e4919aab55bd91b3489351961fd90fefecf156ed31132","record_version_id":"2cf40550710fddd70eebaccedb5a4915c1bbcd8044e7cc2721090bb9cf2e3ca0","job_id":"enrich-a3cb0aa05223adab939cac3a","output_id":"36f2f5faa8bf7a7a34e806d4921c19ad9f2fefdaf13fb6a3b9f6f3b3cce52408","section":"search_profile","status":"valid","value_json":"{\"assumed_background\":[{\"evidence\":[{\"course_id\":\"MATH 341\",\"field\":\"description\",\"quote\":\"The theory of linear algebra with an introduction to proofs and proof writing. Topics include vector spaces, linear dependence, span, basis, linear transformations, kernel, image, inner products and inner product spaces, geometry, eigenvalues, eigenvectors, standard matrix factorizations.\"}],\"text\":\"Theoretical linear algebra with proofs, covering vector spaces, linear transformations, eigenvalues, and inner product spaces.\"},{\"evidence\":[{\"course_id\":\"MATH 234\",\"field\":\"description\",\"quote\":\"Introduction to calculus of functions of several variables; calculus on parameterized curves, derivatives of functions of several variables, multiple integrals, vector calculus.\"}],\"text\":\"Multivariable calculus including vector calculus and multiple integrals.\"}],\"search_phrases\":[\"advanced linear algebra\",\"Jordan canonical form\",\"spectral theorem\",\"linear transformations duality\",\"matrix norms bounded operators\"],\"skills_taught\":[{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Review of linear transformations, duality. Diagonalization of linear transformations. The Cayley Hamilton Theorem. Minimal polynomials. The Jordan canonical form.\"}],\"text\":\"Advanced linear algebra topics including diagonalization, minimal polynomials, and Jordan canonical form.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Inner product spaces, orthonormal bases and Gram-Schmidt orthogonalization. Operators on inner product spaces. Self-adjoint, unitary and positive operators. Spectral theorem.\"}],\"text\":\"Inner product space theory, orthogonalization, and spectral theorem for operators.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Singular value decomposition. Bilinear and quadratic forms. Norms, bounded linear operators, matrix norms. Basic multilinear algebra.\"}],\"text\":\"Singular value decomposition, bilinear/quadratic forms, and matrix norms.\"}],\"summary\":{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"title\",\"quote\":\"LINEAR ALGEBRA II\"},{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Review of linear transformations, duality. Diagonalization of linear transformations. The Cayley Hamilton Theorem. Minimal polynomials. The Jordan canonical form. Exponential function. Inner product spaces, orthonormal bases and Gram-Schmidt orthogonalization. Operators on inner product spaces. Self-adjoint, unitary and positive operators. Spectral theorem. Singular value decomposition. Bilinear and quadratic forms. Norms, bounded linear operators, matrix norms. Basic multilinear algebra.\"}],\"text\":\"Linear Algebra II covers advanced linear transformations, Jordan forms, spectral theory, and multilinear algebra.\"},\"topics\":[{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Review of linear transformations, duality. Diagonalization of linear transformations. The Cayley Hamilton Theorem. Minimal polynomials. The Jordan canonical form.\"}],\"text\":\"Linear transformations, duality, diagonalization, Cayley-Hamilton theorem, minimal polynomials, Jordan canonical form.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Inner product spaces, orthonormal bases and Gram-Schmidt orthogonalization. Operators on inner product spaces. Self-adjoint, unitary and positive operators. Spectral theorem.\"}],\"text\":\"Inner product spaces, orthonormal bases, Gram-Schmidt process, self-adjoint/unitary/positive operators, spectral theorem.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Singular value decomposition. Bilinear and quadratic forms. Norms, bounded linear operators, matrix norms. Basic multilinear algebra.\"}],\"text\":\"Singular value decomposition, bilinear and quadratic forms, norms, bounded linear operators, multilinear algebra.\"}]}","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_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"66d0411c361bd0aef66e4919aab55bd91b3489351961fd90fefecf156ed31132","record_version_id":"2cf40550710fddd70eebaccedb5a4915c1bbcd8044e7cc2721090bb9cf2e3ca0","job_id":"enrich-a3cb0aa05223adab939cac3a","output_id":"36f2f5faa8bf7a7a34e806d4921c19ad9f2fefdaf13fb6a3b9f6f3b3cce52408","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_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"66d0411c361bd0aef66e4919aab55bd91b3489351961fd90fefecf156ed31132","record_version_id":"2cf40550710fddd70eebaccedb5a4915c1bbcd8044e7cc2721090bb9cf2e3ca0","job_id":"enrich-a3cb0aa05223adab939cac3a","output_id":"36f2f5faa8bf7a7a34e806d4921c19ad9f2fefdaf13fb6a3b9f6f3b3cce52408","section":"student_summary","status":"valid","value_json":"{\"context_hash\":\"9cfeffc34947ee1553ae01a39f7e283196523c52d42b41664458734e56131e42\",\"course_id\":\"MATH 540\",\"current_instructors\":[{\"instructor_uid\":\"instructor_15048860d250b5e199b5ce77\",\"message\":\"No course-specific reviews available\",\"name\":\"Shamgar Gurevitch\",\"review_status\":\"no_course_reviews\",\"rmp_instructor_id\":null,\"summary\":[]}],\"difficulty_workload\":[{\"citations\":[{\"instructor_name\":\"Andrei Caldararu\",\"review_date\":\"2021-05-08 04:04:53 +0000 UTC\",\"review_id\":\"95fd7b0a7b1621df1f50c597\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:802342\",\"source_review_id\":\"UmF0aW5nLTM0NzM5NDEx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/802342\",\"type\":\"review\"},{\"instructor_name\":\"Andrei Caldararu\",\"review_date\":\"2021-05-08 04:11:04 +0000 UTC\",\"review_id\":\"b012d8c5a5ccc02b8c8fe5b1\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:802342\",\"source_review_id\":\"UmF0aW5nLTM0NzM5NDQz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/802342\",\"type\":\"review\"}],\"text\":\"Historical reviews for Andrei Caldararu describe a lack of support materials, including missing homework solutions, absent practice tests, and unclear project grading rubrics.\"}],\"errors\":[],\"historical_context\":[{\"citations\":[{\"instructor_name\":\"Shamgar Gurevich\",\"review_date\":\"2025-10-06 04:17:15 +0000 UTC\",\"review_id\":\"67186a9a8e4f9b8bafa3a258\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:1522421\",\"source_review_id\":\"UmF0aW5nLTQxNjkwMDQx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1522421\",\"type\":\"review\"},{\"instructor_name\":\"Shamgar Gurevich\",\"review_date\":\"2025-12-15 01:38:22 +0000 UTC\",\"review_id\":\"1863c1c25787d494b4129b8d\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:1522421\",\"source_review_id\":\"UmF0aW5nLTQyMjUwOTk3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1522421\",\"type\":\"review\"},{\"instructor_name\":\"Shamgar Gurevich\",\"review_date\":\"2026-01-09 16:55:18 +0000 UTC\",\"review_id\":\"8300debf7611860d2c1a1cba\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:1522421\",\"source_review_id\":\"UmF0aW5nLTQyNDY3NzU3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1522421\",\"type\":\"review\"},{\"instructor_name\":\"Andrei Caldararu\",\"review_date\":\"2021-05-08 04:04:53 +0000 UTC\",\"review_id\":\"95fd7b0a7b1621df1f50c597\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:802342\",\"source_review_id\":\"UmF0aW5nLTM0NzM5NDEx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/802342\",\"type\":\"review\"},{\"instructor_name\":\"Andrei Caldararu\",\"review_date\":\"2021-05-08 04:11:04 +0000 UTC\",\"review_id\":\"b012d8c5a5ccc02b8c8fe5b1\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:802342\",\"source_review_id\":\"UmF0aW5nLTM0NzM5NDQz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/802342\",\"type\":\"review\"}],\"text\":\"Shamgar Gurevitch introduces linear algebra through category theory and ring theory, which one reviewer found useful for understanding mathematical structure, though others criticize his course organization, failure to cover the syllabus, and combative classroom behavior. One reviewer claims he awards high grades regardless of effort. Historical reviews for Andrei Caldararu note a lack of homework solutions, practice tests, and clear grading guidelines.\"}],\"message\":null,\"offered\":true,\"profile_hash\":\"e59ddc7389015d0035b68cd195c939d475bf72b959b29cf12eab59b454ccaef1\",\"quick_take\":[{\"citations\":[{\"instructor_name\":\"Shamgar Gurevich\",\"review_date\":\"2025-10-06 04:17:15 +0000 UTC\",\"review_id\":\"67186a9a8e4f9b8bafa3a258\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:1522421\",\"source_review_id\":\"UmF0aW5nLTQxNjkwMDQx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1522421\",\"type\":\"review\"},{\"instructor_name\":\"Shamgar Gurevich\",\"review_date\":\"2025-12-15 01:38:22 +0000 UTC\",\"review_id\":\"1863c1c25787d494b4129b8d\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:1522421\",\"source_review_id\":\"UmF0aW5nLTQyMjUwOTk3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1522421\",\"type\":\"review\"},{\"instructor_name\":\"Shamgar Gurevich\",\"review_date\":\"2026-01-09 16:55:18 +0000 UTC\",\"review_id\":\"8300debf7611860d2c1a1cba\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:1522421\",\"source_review_id\":\"UmF0aW5nLTQyNDY3NzU3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1522421\",\"type\":\"review\"}],\"text\":\"Historical reviews of Shamgar Gurevich: Shamgar Gurevich receives polarized reviews, with some students finding the course unlearnable and poorly organized while others appreciate its abstract mathematical structure.\"},{\"citations\":[{\"course_id\":\"MATH 540\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1244\",\"type\":\"grade\"},{\"course_id\":\"MATH 540\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1252\",\"type\":\"grade\"},{\"course_id\":\"MATH 540\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"}],\"text\":\"Recent recorded grades — Spring 2024: 3.39 GPA, 69.6% A/AB (n=23 letter grades); Fall 2024: 3.44 GPA, 70.6% A/AB (n=17 letter grades); Fall 2025: 4.00 GPA, 100.0% A/AB (n=33 letter grades).\"}],\"student_experience\":[{\"citations\":[{\"instructor_name\":\"Shamgar Gurevich\",\"review_date\":\"2025-12-15 01:38:22 +0000 UTC\",\"review_id\":\"1863c1c25787d494b4129b8d\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:1522421\",\"source_review_id\":\"UmF0aW5nLTQyMjUwOTk3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1522421\",\"type\":\"review\"}],\"text\":\"Historical reviews of Shamgar Gurevich: One reviewer finds Gurevich's category theory approach useful for understanding math structures but irrelevant for engineering applications.\"}],\"task_hash\":\"74fb0997943e888960bbc9e47db8c4fd12e4292d55c20509d8d89db6a9910f68\",\"teaching_history\":[{\"citations\":[{\"course_id\":\"MATH 540\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"source_record\":{\"entity_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1194\",\"type\":\"grade\"},{\"course_id\":\"MATH 540\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"source_record\":{\"entity_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1204\",\"type\":\"grade\"},{\"course_id\":\"MATH 540\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"source_record\":{\"entity_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"}],\"text\":\"SHAMGAR GUREVICH is recorded teaching in Spring 2019, Spring 2020, Fall 2025. 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},{"run_id":"20260907T155543-ce3781c4","observed_at":"2026-09-07 15:55:43.033547+00:00","course_uid":"course_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"66d0411c361bd0aef66e4919aab55bd91b3489351961fd90fefecf156ed31132","record_version_id":"2cf40550710fddd70eebaccedb5a4915c1bbcd8044e7cc2721090bb9cf2e3ca0","job_id":"enrich-f516c4d3e82cfe326b4f5f54","output_id":"26a0b90b8208af4489322e299ddcdd7e381794d950919d591d16c0929abee6cf","section":"requirements","status":"valid","value_json":"{\"nodes\":[{\"children\":[\"n1\",\"n5\",\"n6\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375), (MATH 320,340,341,345, or375), and (MATH 341,375,421,467, or521), graduate/professional standing, or declared in Mathematics VISP (undergraduate or graduate)\",\"id\":\"n0\",\"kind\":\"any\"},{\"children\":[\"n2\",\"n3\",\"n4\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375), (MATH 320,340,341,345, or375), and (MATH 341,375,421,467, or521)\",\"id\":\"n1\",\"kind\":\"all\"},{\"children\":[\"n7\",\"n8\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 234or375)\",\"id\":\"n2\",\"kind\":\"any\"},{\"children\":[\"n9\",\"n10\",\"n11\",\"n12\",\"n13\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 320,340,341,345, or375)\",\"id\":\"n3\",\"kind\":\"any\"},{\"children\":[\"n14\",\"n15\",\"n16\",\"n17\",\"n18\"],\"condition\":null,\"course\":null,\"evidence\":\"(MATH 341,375,421,467, or521)\",\"id\":\"n4\",\"kind\":\"any\"},{\"children\":[],\"condition\":\"graduate/professional standing\",\"course\":null,\"evidence\":\"graduate/professional standing\",\"id\":\"n5\",\"kind\":\"condition\"},{\"children\":[],\"condition\":\"declared in Mathematics VISP (undergraduate or graduate)\",\"course\":null,\"evidence\":\"declared in Mathematics VISP (undergraduate or graduate)\",\"id\":\"n6\",\"kind\":\"condition\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":234,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"MATH 234\",\"id\":\"n7\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"375\",\"id\":\"n8\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":320,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"320\",\"id\":\"n9\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":340,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"340\",\"id\":\"n10\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":341,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"341\",\"id\":\"n11\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":345,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"345\",\"id\":\"n12\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"375\",\"id\":\"n13\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":341,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"341\",\"id\":\"n14\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":375,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"375\",\"id\":\"n15\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":421,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"421\",\"id\":\"n16\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":467,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"467\",\"id\":\"n17\",\"kind\":\"course\"},{\"children\":[],\"condition\":null,\"course\":{\"course_number\":521,\"minimum_grade\":null,\"subjects\":[\"MATH\"],\"timing\":\"prior\"},\"evidence\":\"521\",\"id\":\"n18\",\"kind\":\"course\"}],\"notes\":[],\"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_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"66d0411c361bd0aef66e4919aab55bd91b3489351961fd90fefecf156ed31132","record_version_id":"2cf40550710fddd70eebaccedb5a4915c1bbcd8044e7cc2721090bb9cf2e3ca0","job_id":"enrich-f516c4d3e82cfe326b4f5f54","output_id":"26a0b90b8208af4489322e299ddcdd7e381794d950919d591d16c0929abee6cf","section":"search_profile","status":"valid","value_json":"{\"assumed_background\":[{\"evidence\":[{\"course_id\":\"MATH 341\",\"field\":\"description\",\"quote\":\"The theory of linear algebra with an introduction to proofs and proof writing. Topics include vector spaces, linear dependence, span, basis, linear transformations, kernel, image, inner products and inner product spaces, geometry, eigenvalues, eigenvectors, standard matrix factorizations.\"}],\"text\":\"Theoretical linear algebra with proofs, covering vector spaces, linear transformations, eigenvalues, and inner product spaces.\"},{\"evidence\":[{\"course_id\":\"MATH 234\",\"field\":\"description\",\"quote\":\"Introduction to calculus of functions of several variables; calculus on parameterized curves, derivatives of functions of several variables, multiple integrals, vector calculus.\"}],\"text\":\"Multivariable calculus including vector calculus and multiple integrals.\"}],\"search_phrases\":[\"advanced linear algebra\",\"Jordan canonical form\",\"spectral theorem\",\"linear transformations duality\",\"matrix norms bounded operators\"],\"skills_taught\":[{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Review of linear transformations, duality. Diagonalization of linear transformations. The Cayley Hamilton Theorem. Minimal polynomials. The Jordan canonical form.\"}],\"text\":\"Advanced linear algebra topics including diagonalization, minimal polynomials, and Jordan canonical form.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Inner product spaces, orthonormal bases and Gram-Schmidt orthogonalization. Operators on inner product spaces. Self-adjoint, unitary and positive operators. Spectral theorem.\"}],\"text\":\"Inner product space theory, orthogonalization, and spectral theorem for operators.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Singular value decomposition. Bilinear and quadratic forms. Norms, bounded linear operators, matrix norms. Basic multilinear algebra.\"}],\"text\":\"Singular value decomposition, bilinear/quadratic forms, and matrix norms.\"}],\"summary\":{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"title\",\"quote\":\"LINEAR ALGEBRA II\"},{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Review of linear transformations, duality. Diagonalization of linear transformations. The Cayley Hamilton Theorem. Minimal polynomials. The Jordan canonical form. Exponential function. Inner product spaces, orthonormal bases and Gram-Schmidt orthogonalization. Operators on inner product spaces. Self-adjoint, unitary and positive operators. Spectral theorem. Singular value decomposition. Bilinear and quadratic forms. Norms, bounded linear operators, matrix norms. Basic multilinear algebra.\"}],\"text\":\"Linear Algebra II covers advanced linear transformations, Jordan forms, spectral theory, and multilinear algebra.\"},\"topics\":[{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Review of linear transformations, duality. Diagonalization of linear transformations. The Cayley Hamilton Theorem. Minimal polynomials. The Jordan canonical form.\"}],\"text\":\"Linear transformations, duality, diagonalization, Cayley-Hamilton theorem, minimal polynomials, Jordan canonical form.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Inner product spaces, orthonormal bases and Gram-Schmidt orthogonalization. Operators on inner product spaces. Self-adjoint, unitary and positive operators. Spectral theorem.\"}],\"text\":\"Inner product spaces, orthonormal bases, Gram-Schmidt process, self-adjoint/unitary/positive operators, spectral theorem.\"},{\"evidence\":[{\"course_id\":\"MATH 540\",\"field\":\"description\",\"quote\":\"Singular value decomposition. Bilinear and quadratic forms. Norms, bounded linear operators, matrix norms. Basic multilinear algebra.\"}],\"text\":\"Singular value decomposition, bilinear and quadratic forms, norms, bounded linear operators, multilinear algebra.\"}]}","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_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"66d0411c361bd0aef66e4919aab55bd91b3489351961fd90fefecf156ed31132","record_version_id":"2cf40550710fddd70eebaccedb5a4915c1bbcd8044e7cc2721090bb9cf2e3ca0","job_id":"enrich-f516c4d3e82cfe326b4f5f54","output_id":"26a0b90b8208af4489322e299ddcdd7e381794d950919d591d16c0929abee6cf","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_edc3174bf073c9d7af51f678","course_id":"MATH 540","catalog_version_id":"66d0411c361bd0aef66e4919aab55bd91b3489351961fd90fefecf156ed31132","record_version_id":"2cf40550710fddd70eebaccedb5a4915c1bbcd8044e7cc2721090bb9cf2e3ca0","job_id":"enrich-f516c4d3e82cfe326b4f5f54","output_id":"26a0b90b8208af4489322e299ddcdd7e381794d950919d591d16c0929abee6cf","section":"student_summary","status":"invalid","value_json":"{\"context_hash\":\"9cfeffc34947ee1553ae01a39f7e283196523c52d42b41664458734e56131e42\",\"course_id\":\"MATH 540\",\"current_instructors\":[{\"instructor_uid\":\"instructor_15048860d250b5e199b5ce77\",\"message\":\"No course-specific reviews available\",\"name\":\"Shamgar Gurevitch\",\"review_status\":\"no_course_reviews\",\"rmp_instructor_id\":null,\"summary\":[]}],\"difficulty_workload\":[{\"citations\":[{\"instructor_name\":\"Andrei Caldararu\",\"review_date\":\"2021-05-08 04:04:53 +0000 UTC\",\"review_id\":\"95fd7b0a7b1621df1f50c597\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:802342\",\"source_review_id\":\"UmF0aW5nLTM0NzM5NDEx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/802342\",\"type\":\"review\"},{\"instructor_name\":\"Andrei Caldararu\",\"review_date\":\"2021-05-08 04:11:04 +0000 UTC\",\"review_id\":\"b012d8c5a5ccc02b8c8fe5b1\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:802342\",\"source_review_id\":\"UmF0aW5nLTM0NzM5NDQz\",\"source_url\":\"https://www.ratemyprofessors.com/professor/802342\",\"type\":\"review\"}],\"text\":\"Historical reviews for Andrei Caldararu describe a lack of support materials, including missing homework solutions, absent practice tests, and unclear project grading rubrics.\"}],\"errors\":[{\"error\":\"UnexpectedModelBehavior: Exceeded maximum output retries (2)\",\"instructor_uid\":null,\"mode\":\"history\"}],\"historical_context\":[],\"message\":null,\"offered\":true,\"profile_hash\":\"e59ddc7389015d0035b68cd195c939d475bf72b959b29cf12eab59b454ccaef1\",\"quick_take\":[{\"citations\":[{\"instructor_name\":\"Shamgar Gurevich\",\"review_date\":\"2025-10-06 04:17:15 +0000 UTC\",\"review_id\":\"67186a9a8e4f9b8bafa3a258\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:1522421\",\"source_review_id\":\"UmF0aW5nLTQxNjkwMDQx\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1522421\",\"type\":\"review\"},{\"instructor_name\":\"Shamgar Gurevich\",\"review_date\":\"2025-12-15 01:38:22 +0000 UTC\",\"review_id\":\"1863c1c25787d494b4129b8d\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:1522421\",\"source_review_id\":\"UmF0aW5nLTQyMjUwOTk3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1522421\",\"type\":\"review\"},{\"instructor_name\":\"Shamgar Gurevich\",\"review_date\":\"2026-01-09 16:55:18 +0000 UTC\",\"review_id\":\"8300debf7611860d2c1a1cba\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:1522421\",\"source_review_id\":\"UmF0aW5nLTQyNDY3NzU3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1522421\",\"type\":\"review\"}],\"text\":\"Historical reviews of Shamgar Gurevich: Shamgar Gurevich receives polarized reviews, with some students finding the course unlearnable and poorly organized while others appreciate its abstract mathematical structure.\"},{\"citations\":[{\"course_id\":\"MATH 540\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1244\",\"type\":\"grade\"},{\"course_id\":\"MATH 540\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1252\",\"type\":\"grade\"},{\"course_id\":\"MATH 540\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_record\":{\"entity_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"}],\"text\":\"Recent recorded grades — Spring 2024: 3.39 GPA, 69.6% A/AB (n=23 letter grades); Fall 2024: 3.44 GPA, 70.6% A/AB (n=17 letter grades); Fall 2025: 4.00 GPA, 100.0% A/AB (n=33 letter grades).\"}],\"student_experience\":[{\"citations\":[{\"instructor_name\":\"Shamgar Gurevich\",\"review_date\":\"2025-12-15 01:38:22 +0000 UTC\",\"review_id\":\"1863c1c25787d494b4129b8d\",\"run_id\":\"20260907T155543-ce3781c4\",\"source_instructor_id\":\"rmp:1522421\",\"source_review_id\":\"UmF0aW5nLTQyMjUwOTk3\",\"source_url\":\"https://www.ratemyprofessors.com/professor/1522421\",\"type\":\"review\"}],\"text\":\"Historical reviews of Shamgar Gurevich: One reviewer finds Gurevich's category theory approach useful for understanding math structures but irrelevant for engineering applications.\"}],\"task_hash\":\"74fb0997943e888960bbc9e47db8c4fd12e4292d55c20509d8d89db6a9910f68\",\"teaching_history\":[{\"citations\":[{\"course_id\":\"MATH 540\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"source_record\":{\"entity_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1194\",\"type\":\"grade\"},{\"course_id\":\"MATH 540\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"source_record\":{\"entity_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1204\",\"type\":\"grade\"},{\"course_id\":\"MATH 540\",\"run_id\":\"20260907T155543-ce3781c4\",\"section_number\":1,\"source_course_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"source_record\":{\"entity_id\":\"06684c37-f4fe-3547-b513-0d401049613c\",\"file\":\"tables/observations.parquet\",\"kind\":\"grades\",\"source\":\"madgrades\"},\"table\":\"section_grades_latest\",\"term_id\":\"1262\",\"type\":\"grade\"}],\"text\":\"SHAMGAR GUREVICH is recorded teaching in Spring 2019, Spring 2020, Fall 2025. 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\": \"UnexpectedModelBehavior: Exceeded maximum output retries (2)\"}]","model":"nvidia/Qwen3.6-35B-A3B-NVFP4","model_revision":"1355db6a052410cfd62085d94b58866fd0f2c3c5","selected_for_release":false}]