# MATH 540: Linear Algebra II | UW–Madison [View on UW Courses](https://uwcourses.com/courses/MATH_540) ## Dataset ### revision e243353dcb7d79b7247ced91d69443ef4c2a6349 ### repository twangodev/uwcourses ### schema version 6 ### importer version 7 ### projection id 52a78527ff09011d88cb04c7d43867d9fbfec2930bf1dd2ec359ebd2844e0b07 ### observed at 2026-09-07T15:55:43.033547+00:00 ### built at 2026-09-10T19:50:42.743001+00:00 ### courses 8951 ### current instructors 5754 ### limited false ### terms * 1272 * 1264 * 1262 * 1254 * 1252 * 1244 * 1242 * 1234 * 1232 * 1224 * 1222 * 1212 * 1204 * 1202 * 1194 * 1192 * 1184 * 1182 * 1174 * 1172 * 1164 * 1162 * 1154 * 1152 * 1144 * 1142 * 1134 * 1132 * 1124 * 1122 * 1114 * 1112 * 1104 * 1102 * 1094 * 1092 * 1084 * 1082 * 1074 * 1072 ### term 1272 ### departments | subject | count | | --------- | ----- | | AAE | 90 | | ABT | 20 | | ACCTIS | 36 | | ACTSCI | 14 | | AFAERO | 10 | | AFRICAN | 87 | | AFROAMER | 71 | | AGROECOL | 21 | | AMERIND | 53 | | ANAT\&PHY | 7 | | ANATOMY | 2 | | ANESTHES | 8 | | ANSCI | 57 | | ANTHRO | 95 | | ART | 125 | | ARTED | 10 | | ARTHIST | 121 | | ASIALANG | 129 | | ASIAN | 109 | | ASIANAM | 28 | | ASTRON | 38 | | ATMOCN | 69 | | BIOCHEM | 51 | | BIOCORE | 10 | | BIOLOGY | 14 | | BIOMDSCI | 18 | | BME | 66 | | BMI | 41 | | BMOLCHEM | 10 | | BOTANY | 69 | | BSE | 44 | | C\&ESOC | 73 | | CBE | 48 | | CHEM | 101 | | CHICLA | 52 | | CIVENGR | 133 | | CLASSICS | 47 | | CNP | 10 | | CNSRSCI | 50 | | COMARTS | 137 | | COMPBIO | 15 | | COMPLIT | 11 | | COMPSCI | 138 | | COUNPSY | 78 | | CRB | 19 | | CS\&D | 71 | | CSCS | 40 | | CURRIC | 193 | | DANCE | 93 | | DERM | 8 | | DS | 88 | | DYSCI | 35 | | ECE | 155 | | ECON | 145 | | EDPOL | 114 | | EDPSYCH | 97 | | ELPA | 70 | | EMA | 53 | | EMERMED | 17 | | ENGL | 206 | | ENTOM | 40 | | ENVIRST | 148 | | EP | 15 | | EPD | 67 | | ESL | 16 | | F\&WECOL | 60 | | FAMMED | 22 | | FINANCE | 50 | | FOLKLORE | 40 | | FOODSCI | 43 | | FRENCH | 63 | | GEN\&WS | 145 | | GENBUS | 72 | | GENECSLR | 17 | | GENETICS | 60 | | GEOG | 113 | | GEOSCI | 83 | | GERMAN | 82 | | GLE | 48 | | GNS | 38 | | GREEK | 27 | | HDFS | 41 | | HEBR-BIB | 13 | | HEBR-MOD | 10 | | HISTORY | 233 | | HISTSCI | 56 | | HONCOL | 13 | | ILS | 43 | | INFOSYS | 9 | | INTEGART | 7 | | INTEGSCI | 22 | | INTER-AG | 18 | | INTER-HE | 11 | | INTER-LS | 22 | | INTEREGR | 16 | | INTLBUS | 21 | | INTLST | 50 | | ISYE | 83 | | ITALIAN | 53 | | JEWISH | 56 | | JOURN | 88 | | KINES | 128 | | LACIS | 26 | | LANDARC | 61 | | LATIN | 24 | | LAW | 120 | | LEGALST | 48 | | LINGUIS | 35 | | LIS | 89 | | LITTRANS | 78 | | LSC | 52 | | M\&ENVTOX | 7 | | MARKETNG | 62 | | MATH | 153 | | MDGENET | 8 | | ME | 130 | | MEDHIST | 43 | | MEDICINE | 60 | | MEDIEVAL | 32 | | MEDPHYS | 39 | | MEDSC-M | 29 | | MEDSC-V | 41 | | MHR | 68 | | MICROBIO | 45 | | MILSCI | 16 | | MM\&I | 22 | | MOLBIOL | 6 | | MS\&E | 59 | | MUSIC | 165 | | MUSPERF | 126 | | NAVSCI | 20 | | NE | 44 | | NEURODPT | 11 | | NEUROL | 7 | | NEURSURG | 4 | | NTP | 11 | | NURSING | 111 | | NUTRSCI | 65 | | OBS\&GYN | 18 | | OCCTHER | 39 | | ONCOLOGY | 14 | | OPHTHALM | 5 | | OTM | 43 | | PATH | 34 | | PATH-BIO | 29 | | PEDIAT | 26 | | PHARMACY | 31 | | PHILOS | 77 | | PHMCOL-M | 11 | | PHMPRAC | 45 | | PHMSCI | 60 | | PHYASST | 37 | | PHYSICS | 88 | | PHYSIOL | 3 | | PHYTHER | 37 | | PLANTSCI | 52 | | PLPATH | 35 | | POLISCI | 192 | | POPHLTH | 58 | | PORTUG | 33 | | PSYCH | 101 | | PSYCHIAT | 22 | | PUBAFFR | 54 | | PUBLHLTH | 23 | | RADIOL | 11 | | REALEST | 41 | | RELIGST | 90 | | RHABMED | 9 | | RMI | 24 | | RP\&SE | 102 | | S\&APHM | 17 | | SCANDST | 73 | | SLAVIC | 89 | | SOC | 149 | | SOCWORK | 87 | | SOILSCI | 46 | | SPANISH | 83 | | SRMED | 21 | | STAT | 94 | | STDYABRD | 52 | | STS | 8 | | SURGERY | 25 | | SURGSCI | 33 | | THEATRE | 91 | | URBRPL | 60 | | UROLOGY | 5 | | ZOOLOGY | 89 | ## course ### run id 20260907T155543-ce3781c4 ### semester 1272 ### observed at 2026-09-07 15:55:43.033547+00:00 ### record version id 2cf40550710fddd70eebaccedb5a4915c1bbcd8044e7cc2721090bb9cf2e3ca0 ### course id MATH 540 ### course uid course\_edc3174bf073c9d7af51f678 ### catalog version id 66d0411c361bd0aef66e4919aab55bd91b3489351961fd90fefecf156ed31132 ### course number 540 ### subjects * MATH ### title LINEAR ALGEBRA II ### description 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. ### requirements text (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) ### credits min 3 ### credits max 3 ### credit offering ids * 1272:600:025070 ### llm job id enrich-a3cb0aa05223adab939cac3a ### llm output id 36f2f5faa8bf7a7a34e806d4921c19ad9f2fefdaf13fb6a3b9f6f3b3cce52408 ### llm model nvidia/Qwen3.6-35B-A3B-NVFP4 ### llm model revision 1355db6a052410cfd62085d94b58866fd0f2c3c5 ### llm task version 14 ### llm search status valid ### llm summary Linear Algebra II covers advanced linear transformations, Jordan forms, spectral theory, and multilinear algebra. ### llm topics * Linear transformations, duality, diagonalization, Cayley-Hamilton theorem, minimal polynomials, Jordan canonical form. * Inner product spaces, orthonormal bases, Gram-Schmidt process, self-adjoint/unitary/positive operators, spectral theorem. * Singular value decomposition, bilinear and quadratic forms, norms, bounded linear operators, multilinear algebra. ### llm skills * Advanced linear algebra topics including diagonalization, minimal polynomials, and Jordan canonical form. * Inner product space theory, orthogonalization, and spectral theorem for operators. * Singular value decomposition, bilinear/quadratic forms, and matrix norms. ### llm assumed background * Theoretical linear algebra with proofs, covering vector spaces, linear transformations, eigenvalues, and inner product spaces. * Multivariable calculus including vector calculus and multiple integrals. ### llm search phrases * advanced linear algebra * Jordan canonical form * spectral theorem * linear transformations duality * matrix norms bounded operators ### llm requirements status valid ### llm student summary status valid ### llm experience status insufficient\_evidence ### catalog variants None recorded. ### student summary #### context hash 9cfeffc34947ee1553ae01a39f7e283196523c52d42b41664458734e56131e42 #### course id MATH 540 #### current instructors ```json [ { "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 Historical reviews for Andrei Caldararu describe a lack of support materials, including missing homework solutions, absent practice tests, and unclear project grading rubrics. ```json { "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" } ] } ``` #### errors None recorded. #### historical context 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. ```json { "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" } ] } ``` #### offered true #### profile hash e59ddc7389015d0035b68cd195c939d475bf72b959b29cf12eab59b454ccaef1 #### quick take 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. ```json { "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" } ] } ``` 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). ```json { "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" } ] } ``` #### student experience Historical reviews of Shamgar Gurevich: One reviewer finds Gurevich's category theory approach useful for understanding math structures but irrelevant for engineering applications. ```json { "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" } ] } ``` #### task hash 74fb0997943e888960bbc9e47db8c4fd12e4292d55c20509d8d89db6a9910f68 #### teaching history SHAMGAR GUREVICH is recorded teaching in Spring 2019, Spring 2020, Fall 2025. Recorded history may be incomplete and does not establish a future schedule. ```json { "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" } ] } ``` #### term id 1272 #### term name 2026 Fall #### version 2 ### requirements #### nodes ```json [ { "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 None recorded. #### root n0 #### status parsed ### instructors | instructor\_uid | source | source\_instructor\_id | identity\_basis | identity\_status | name | email | first\_observed\_at | last\_observed\_at | instructor\_url | | ------------------------------------ | ---------- | ---------------------- | --------------- | ------------------ | ----------------- | ---------------------- | -------------------------------- | -------------------------------- | ------------------------------- | | instructor\_15048860d250b5e199b5ce77 | enrollment | sgurevich | netid | source\_identified | Shamgar Gurevitch | SHAMGAR\@MATH.WISC.EDU | 2026-09-07 15:55:43.033547+00:00 | 2026-09-07 15:55:43.033547+00:00 | /instructors/SHAMGAR\_GUREVITCH | ### offerings ```json [ { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "offering_id": "1272:600:025070", "course_id": "MATH 540", "course_uid": "course_edc3174bf073c9d7af51f678", "term_id": "1272", "source_course_id": "025070", "source_subject_id": "600", "title": "Linear Algebra II", "credits_min": 3, "credits_max": 3, "typically_offered": "Fall" } ] ``` ### sections ```json [ { "run_id": "20260907T155543-ce3781c4", "observed_at": "2026-09-07 15:55:43.033547+00:00", "section_uid": "uw-section:1272:28907", "term_id": "1272", "source_section_id": "28907", "identity_basis": "class_number", "section_number": "001", "section_type": "LEC", "instruction_mode": "Classroom Instruction", "capacity": 40, "enrolled": 38, "waitlisted": 0, "start_date": "2026-09-02 05:00:00+00:00", "end_date": "2026-12-09 06:00:00+00:00" } ] ``` ### grade instructors ```json [ { "instructor_uid": "instructor_f2e0ee4a695f3aaefcad5d03", "source": "madgrades", "source_instructor_id": "4833813", "identity_basis": "source_id", "identity_status": "source_identified", "name": "SHAMGAR GUREVICH", "email": null, "first_observed_at": "2026-09-06 23:14:58.172943+00:00", "last_observed_at": "2026-09-07 15:55:43.033547+00:00", "ratings": { "review_count": 39, "quality": 3.1, "difficulty": 2.44, "quality_count": 39, "difficulty_count": 39, "profile_id": "rmp:1522421", "source_url": "https://www.ratemyprofessors.com/professor/1522421", "match_basis": "exact_name", "observed_at": "2026-09-07 16:06:14.053692+00:00", "courses": { "course_edc3174bf073c9d7af51f678": { "review_count": 3, "quality": 2.33, "difficulty": 3, "quality_count": 3, "difficulty_count": 3 }, "course_63c43e7ac8225e2773df74d8": { "review_count": 1, "quality": 2, "difficulty": 1, "quality_count": 1, "difficulty_count": 1 }, "course_fa53f4954bab469b5d4c4fe3": { "review_count": 9, "quality": 2.67, "difficulty": 2.67, "quality_count": 9, "difficulty_count": 9 }, "course_2e71825a82859020279c78b8": { "review_count": 3, "quality": 3.33, "difficulty": 3.33, "quality_count": 3, "difficulty_count": 3 }, "course_6a5fd6b22fd05d58426ea680": { "review_count": 6, "quality": 2.67, "difficulty": 2.33, "quality_count": 6, "difficulty_count": 6 }, "course_eec4aae06b946a73f1878be4": { "review_count": 6, "quality": 3.17, "difficulty": 1.17, "quality_count": 6, "difficulty_count": 6 }, "course_7e12e6bf6be7a81f7ca74420": { "review_count": 1, "quality": 5, "difficulty": 3, "quality_count": 1, "difficulty_count": 1 } }, "bayesian_quality": 3.289723994422575, "prior_mean": 3.6596857835465957, "prior_weight": 20 }, "grade_statistics": { "gpa": 3.554, "graded": 1077, "counts": [ 561, 296, 126, 44, 25, 10, 15 ], "sections": 50 }, "instructor_url": "/instructors/SHAMGAR_GUREVICH--instructor_f2e0ee4a695f3aaefcad5d03" }, { "instructor_uid": "instructor_26590d10bc16c8c0dcbdf38c", "source": "madgrades", "source_instructor_id": "4468599", "identity_basis": "source_id", "identity_status": "source_identified", "name": "ALBERT AI", "email": null, "first_observed_at": "2026-09-06 23:14:58.172943+00:00", "last_observed_at": "2026-09-07 15:55:43.033547+00:00", "ratings": { "review_count": 5, "quality": 2.4, "difficulty": 4, "quality_count": 5, "difficulty_count": 5, "profile_id": "rmp:2631572", "source_url": "https://www.ratemyprofessors.com/professor/2631572", "match_basis": "exact_name", "observed_at": "2026-09-07 16:57:13.597116+00:00", "courses": { "course_dcdb624e3fb8cbaf9a557ab9": { "review_count": 5, "quality": 2.4, "difficulty": 4, "quality_count": 5, "difficulty_count": 5 } }, "bayesian_quality": 3.4077486268372765, "prior_mean": 3.6596857835465957, "prior_weight": 20 }, "grade_statistics": { "gpa": 3.146, "graded": 213, "counts": [ 80, 23, 52, 19, 31, 4, 4 ], "sections": 8 }, "instructor_url": "/instructors/ALBERT_AI" }, { "instructor_uid": "instructor_890abb761fbcec59b9793bf4", "source": "madgrades", "source_instructor_id": "6403199", "identity_basis": "source_id", "identity_status": "source_identified", "name": "GAVIN BALL", "email": null, "first_observed_at": "2026-09-06 23:14:58.172943+00:00", "last_observed_at": "2026-09-07 15:55:43.033547+00:00", "ratings": { "review_count": 29, "quality": 2.9, "difficulty": 3.9, "quality_count": 29, "difficulty_count": 29, "profile_id": "rmp:2721878", "source_url": "https://www.ratemyprofessors.com/professor/2721878", "match_basis": "exact_name", "observed_at": "2026-09-07 16:38:35.736916+00:00", "courses": { "course_9b0dc1865ea603eb0083bc33": { "review_count": 26, "quality": 2.88, "difficulty": 3.88, "quality_count": 26, "difficulty_count": 26 } }, "bayesian_quality": 3.2100758300190186, "prior_mean": 3.6596857835465957, "prior_weight": 20 }, "grade_statistics": { "gpa": 3.037, "graded": 455, "counts": [ 118, 86, 117, 50, 58, 17, 9 ], "sections": 7 }, "instructor_url": "/instructors/GAVIN_BALL--instructor_890abb761fbcec59b9793bf4" }, { "instructor_uid": "instructor_74c6dd63cc88f0315042e3c4", "source": "madgrades", "source_instructor_id": "6492751", "identity_basis": "source_id", "identity_status": "source_identified", "name": "FENG ZHU", "email": null, "first_observed_at": "2026-09-06 23:14:58.172943+00:00", "last_observed_at": "2026-09-07 15:55:43.033547+00:00", "ratings": { "review_count": 7, "quality": 4.43, "difficulty": 2.57, "quality_count": 7, "difficulty_count": 7, "profile_id": "rmp:2824875", "source_url": "https://www.ratemyprofessors.com/professor/2824875", "match_basis": "exact_name", "observed_at": "2026-09-07 16:39:17.750384+00:00", "courses": { "course_fa53f4954bab469b5d4c4fe3": { "review_count": 2, "quality": 3.5, "difficulty": 3.5, "quality_count": 2, "difficulty_count": 2 }, "course_eec4aae06b946a73f1878be4": { "review_count": 2, "quality": 4.5, "difficulty": 2.5, "quality_count": 2, "difficulty_count": 2 }, "course_0002a781bc9543f3a2ac1a94": { "review_count": 3, "quality": 5, "difficulty": 2, "quality_count": 3, "difficulty_count": 3 } }, "bayesian_quality": 3.8593968767011813, "prior_mean": 3.6596857835465957, "prior_weight": 20 }, "grade_statistics": { "gpa": 3.081, "graded": 548, "counts": [ 162, 89, 163, 42, 57, 21, 14 ], "sections": 13 }, "instructor_url": "/instructors/FENG_ZHU" }, { "instructor_uid": "instructor_15048860d250b5e199b5ce77", "source": "enrollment", "source_instructor_id": "sgurevich", "identity_basis": "netid", "identity_status": "source_identified", "name": "Shamgar Gurevitch", "email": "SHAMGAR@MATH.WISC.EDU", "first_observed_at": "2026-09-07 15:55:43.033547+00:00", "last_observed_at": "2026-09-07 15:55:43.033547+00:00", "instructor_url": "/instructors/SHAMGAR_GUREVITCH" } ] ``` ### grades ```json [ { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "MATH 540", "course_uid": "course_edc3174bf073c9d7af51f678", "term_id": "1194", "term_name": "Spring 2019", "instructors": [ "SHAMGAR GUREVICH" ], "a": 2, "ab": 8, "b": 1, "bc": 1, "c": 0, "d": 0, "f": 0, "satisfactory": 0, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 12, "source_aliases": [ "MATH 540" ] }, { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "MATH 540", "course_uid": "course_edc3174bf073c9d7af51f678", "term_id": "1204", "term_name": "Spring 2020", "instructors": [ "SHAMGAR GUREVICH" ], "a": 6, "ab": 5, "b": 2, "bc": 2, "c": 0, "d": 0, "f": 0, "satisfactory": 2, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 17, "source_aliases": [ "MATH 540" ] }, { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "MATH 540", "course_uid": "course_edc3174bf073c9d7af51f678", "term_id": "1224", "term_name": "Spring 2022", "instructors": [ "ALBERT AI" ], "a": 8, "ab": 6, "b": 5, "bc": 0, "c": 1, "d": 0, "f": 0, "satisfactory": 0, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 20, "source_aliases": [ "MATH 540" ] }, { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "MATH 540", "course_uid": "course_edc3174bf073c9d7af51f678", "term_id": "1234", "term_name": "Spring 2023", "instructors": [ "GAVIN BALL" ], "a": 6, "ab": 4, "b": 4, "bc": 4, "c": 2, "d": 0, "f": 0, "satisfactory": 0, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 20, "source_aliases": [ "MATH 540" ] }, { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "MATH 540", "course_uid": "course_edc3174bf073c9d7af51f678", "term_id": "1244", "term_name": "Spring 2024", "instructors": [ "GAVIN BALL" ], "a": 7, "ab": 9, "b": 4, "bc": 1, "c": 2, "d": 0, "f": 0, "satisfactory": 0, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 23, "source_aliases": [ "MATH 540" ] }, { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "MATH 540", "course_uid": "course_edc3174bf073c9d7af51f678", "term_id": "1252", "term_name": "Fall 2024", "instructors": [ "FENG ZHU" ], "a": 8, "ab": 4, "b": 2, "bc": 1, "c": 2, "d": 0, "f": 0, "satisfactory": 0, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 17, "source_aliases": [ "MATH 540" ] }, { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "MATH 540", "course_uid": "course_edc3174bf073c9d7af51f678", "term_id": "1262", "term_name": "Fall 2025", "instructors": [ "SHAMGAR GUREVICH" ], "a": 33, "ab": 0, "b": 0, "bc": 0, "c": 0, "d": 0, "f": 0, "satisfactory": 0, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 33, "source_aliases": [ "MATH 540" ] } ] ``` ### statistics #### gpa 3.546 #### graded 140 #### counts * 70 * 36 * 18 * 9 * 7 * 0 * 0 ### grade conflicts None recorded. ### evidence #### history * [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course\_edc3174bf073c9d7af51f678-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_edc3174bf073c9d7af51f678-0.json) #### traces * [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_edc3174bf073c9d7af51f678-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_edc3174bf073c9d7af51f678-0.json) #### reviews * [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course\_edc3174bf073c9d7af51f678-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_edc3174bf073c9d7af51f678-0.json) #### meetings * [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/meetings/course\_edc3174bf073c9d7af51f678-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/meetings/course_edc3174bf073c9d7af51f678-0.json) #### results * [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_edc3174bf073c9d7af51f678-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_edc3174bf073c9d7af51f678-0.json) ### revision e243353dcb7d79b7247ced91d69443ef4c2a6349 ## context ### all #### term #### gpa 3.5464285714285713 #### count 140 #### university ##### size 3785 ##### gpa Percentile 26 ##### count Percentile 60 ##### median Count 105 ##### histogram | range | count | current | | ------- | ----- | ------- | | 0.0–0.4 | 0 | false | | 0.4–0.8 | 0 | false | | 0.8–1.2 | 0 | false | | 1.2–1.6 | 0 | false | | 1.6–2.0 | 0 | false | | 2.0–2.4 | 0 | false | | 2.4–2.8 | 12 | false | | 2.8–3.2 | 211 | false | | 3.2–3.6 | 975 | true | | 3.6–4.0 | 2587 | false | #### departments ```json [ { "subject": "MATH", "comparison": { "size": 97, "gpaPercentile": 54, "countPercentile": 57, "medianCount": 120, "histogram": [ { "range": "0.0–0.4", "count": 0, "current": false }, { "range": "0.4–0.8", "count": 0, "current": false }, { "range": "0.8–1.2", "count": 0, "current": false }, { "range": "1.2–1.6", "count": 0, "current": false }, { "range": "1.6–2.0", "count": 0, "current": false }, { "range": "2.0–2.4", "count": 0, "current": false }, { "range": "2.4–2.8", "count": 3, "current": false }, { "range": "2.8–3.2", "count": 24, "current": false }, { "range": "3.2–3.6", "count": 29, "current": true }, { "range": "3.6–4.0", "count": 41, "current": false } ] } } ] ``` ### terms #### 1194 ##### term 1194 ##### gpa 3.4583333333333335 ##### count 12 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1204 ##### term 1204 ##### gpa 3.5 ##### count 15 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1224 ##### term 1224 ##### gpa 3.5 ##### count 20 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1234 ##### term 1234 ##### gpa 3.2 ##### count 20 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1244 ##### term 1244 ##### gpa 3.391304347826087 ##### count 23 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1252 ##### term 1252 ##### gpa 3.4411764705882355 ##### count 17 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1262 ##### term 1262 ##### gpa 4 ##### count 33 ##### university ###### size 1320 ###### gpa Percentile 95 ###### count Percentile 7 ###### median Count 70 ###### histogram | range | count | current | | ------- | ----- | ------- | | 0.0–0.4 | 0 | false | | 0.4–0.8 | 0 | false | | 0.8–1.2 | 0 | false | | 1.2–1.6 | 0 | false | | 1.6–2.0 | 0 | false | | 2.0–2.4 | 1 | false | | 2.4–2.8 | 8 | false | | 2.8–3.2 | 133 | false | | 3.2–3.6 | 381 | false | | 3.6–4.0 | 797 | true | ##### departments ```json [ { "subject": "MATH", "comparison": { "size": 43, "gpaPercentile": 98, "countPercentile": 10, "medianCount": 81, "histogram": [ { "range": "0.0–0.4", "count": 0, "current": false }, { "range": "0.4–0.8", "count": 0, "current": false }, { "range": "0.8–1.2", "count": 0, "current": false }, { "range": "1.2–1.6", "count": 0, "current": false }, { "range": "1.6–2.0", "count": 0, "current": false }, { "range": "2.0–2.4", "count": 0, "current": false }, { "range": "2.4–2.8", "count": 3, "current": false }, { "range": "2.8–3.2", "count": 18, "current": false }, { "range": "3.2–3.6", "count": 16, "current": false }, { "range": "3.6–4.0", "count": 6, "current": true } ] } } ] ``` ### benchmarks #### all ##### school ###### size 3785 ###### gpa 3.6924229373892925 ###### top Share 83.912673626205 ###### count 105 ##### MATH ###### size 97 ###### gpa 3.498648679529681 ###### top Share 71.83186080296788 ###### count 120 #### terms ##### 1194 ###### school ###### size 1040 ###### gpa 3.4906527436719808 ###### top Share 71.74728845515045 ###### count 67 ###### MATH ###### size 38 ###### gpa 3.133406260873163 ###### top Share 53.17595010634325 ###### count 71.5 ##### 1204 ###### school ###### size 1012 ###### gpa 3.703747431523761 ###### top Share 84.59811226304916 ###### count 65.5 ###### MATH ###### size 29 ###### gpa 3.478717830475146 ###### top Share 69.61236805388549 ###### count 83 ##### 1224 ###### school ###### size 1171 ###### gpa 3.5627882428500937 ###### top Share 76.37271640560496 ###### count 64 ###### MATH ###### size 34 ###### gpa 3.1555898753466907 ###### top Share 53.444319815085976 ###### count 87.5 ##### 1234 ###### school ###### size 1188 ###### gpa 3.5799441677552393 ###### top Share 77.18256448537606 ###### count 65 ###### MATH ###### size 41 ###### gpa 3.178489266862151 ###### top Share 56.06874885619616 ###### count 67 ##### 1244 ###### school ###### size 1241 ###### gpa 3.5975573126929192 ###### top Share 78.29036874847135 ###### count 65 ###### MATH ###### size 43 ###### gpa 3.228240949537157 ###### top Share 55.86451059486035 ###### count 68 ##### 1252 ###### school ###### size 1333 ###### gpa 3.619494049739118 ###### top Share 79.71442190500672 ###### count 69 ###### MATH ###### size 43 ###### gpa 3.185692541204979 ###### top Share 54.14175342403773 ###### count 74 ##### 1262 ###### school ###### size 1320 ###### gpa 3.628825763035853 ###### top Share 80.21118846327654 ###### count 70 ###### MATH ###### size 43 ###### gpa 3.2481769276584003 ###### top Share 56.325967864851854 ###### count 81 ## instructor Trends ```json [ { "uid": "instructor_f2e0ee4a695f3aaefcad5d03", "name": "SHAMGAR GUREVICH", "count": 60, "terms": [ { "term": "1194", "count": 12, "sections": 1, "gpa": 3.4583333333333335 }, { "term": "1204", "count": 15, "sections": 1, "gpa": 3.5 }, { "term": "1262", "count": 33, "sections": 1, "gpa": 4 } ] }, { "uid": "instructor_890abb761fbcec59b9793bf4", "name": "GAVIN BALL", "count": 43, "terms": [ { "term": "1234", "count": 20, "sections": 1, "gpa": 3.2 }, { "term": "1244", "count": 23, "sections": 1, "gpa": 3.391304347826087 } ] }, { "uid": "instructor_26590d10bc16c8c0dcbdf38c", "name": "ALBERT AI", "count": 20, "terms": [ { "term": "1224", "count": 20, "sections": 1, "gpa": 3.5 } ] }, { "uid": "instructor_74c6dd63cc88f0315042e3c4", "name": "FENG ZHU", "count": 17, "terms": [ { "term": "1252", "count": 17, "sections": 1, "gpa": 3.4411764705882355 } ] } ] ``` ## following None recorded.