# MATH 531: Probability Theory | UW–Madison [View on UW Courses](https://uwcourses.com/courses/MATH_531) ## 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 a693a8af51a98e97b506a62ad7f9ea1bf8de894043676fc798c6f477b8151c92 ### course id MATH 531 ### course uid course\_e0a93fa3466c39b6802e52a7 ### catalog version id 969a2223f4edf479e0845f223ab597e41c3c642b15394799ea898906de8826a3 ### course number 531 ### subjects * MATH ### title PROBABILITY THEORY ### description A rigorous introduction to probability theory at an advanced undergraduate level. Only a minimal amount of measure theory is used, in particular, the theory of Lebesgue integrals is not needed. It is aimed at math majors and Master's degree students, or students in other fields who will need probability in their future careers. Gives an introduction to the basics (Kolmogorov axioms, conditional probability and independence, random variables, expectation) and discusses some classical results with proofs (DeMoivre-Laplace limit theorems, the study of simple random walk on the one dimensional lattice, applications of generating functions). ### requirements text MATH 376,421, or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program ### credit offering ids None recorded. ### llm job id enrich-f516c4d3e82cfe326b4f5f54 ### llm output id 043b9390d6ba6720a99d5816e32d366767b0f57d2448ee67aa3a5471c91c41d9 ### llm model nvidia/Qwen3.6-35B-A3B-NVFP4 ### llm model revision 1355db6a052410cfd62085d94b58866fd0f2c3c5 ### llm task version 14 ### llm search status valid ### llm summary A rigorous introduction to probability theory covering axioms, random variables, and classical limit theorems. ### llm topics * Foundations of probability: axioms, conditional probability, independence, random variables, and expectation. * Classical results: DeMoivre-Laplace limit theorems, simple random walks, and generating functions. ### llm skills * Probability theory basics, limit theorems, random walks, and generating functions. ### llm assumed background * Calculus, proof-writing, and real analysis fundamentals. ### llm search phrases * advanced probability theory * Kolmogorov axioms * Lebesgue integral * random walk * generating functions * MATH 531 prerequisites ### llm requirements status needs\_review ### llm student summary status valid ### llm experience status valid ### catalog variants None recorded. ### student summary #### context hash 35aeab8da3ec2072bd3c56f1bf060d019f2279d8a78b804abd8d5be01ea023a3 #### course id MATH 531 #### current instructors None recorded. #### difficulty workload Historical reviews of Vadim Gorin: Homework difficulty varies drastically, ranging from manageable to really difficult, and the final exam can be harder than previous years. ```json { "citations": [ { "instructor_name": "Vadim Gorin", "review_date": "2022-05-08 23:04:27 +0000 UTC", "review_id": "d7f969b385f345bcd23a3c0d", "run_id": "20260907T155543-ce3781c4", "source_instructor_id": "rmp:2778335", "source_review_id": "UmF0aW5nLTM2MjgwNTE5", "source_url": "https://www.ratemyprofessors.com/professor/2778335", "type": "review" } ] } ``` #### errors None recorded. #### historical context Historical reviews of Benedek Valko: Benedek Valko is described as responsible, helpful, and excellent in academic skills. Reviewers highlight his ability to help students maximize their potential regardless of initial levels, fostering enjoyment of learning. ```json { "citations": [ { "instructor_name": "Benedek Valko", "review_date": "2015-08-03 01:44:11 +0000 UTC", "review_id": "d56d93a705845d9da3ed1638", "run_id": "20260907T155543-ce3781c4", "source_instructor_id": "rmp:1566085", "source_review_id": "UmF0aW5nLTI1MDg2OTUy", "source_url": "https://www.ratemyprofessors.com/professor/1566085", "type": "review" }, { "instructor_name": "Benedek Valko", "review_date": "2016-03-03 17:34:22 +0000 UTC", "review_id": "3273700060f3f0ac22e5e09b", "run_id": "20260907T155543-ce3781c4", "source_instructor_id": "rmp:1566085", "source_review_id": "UmF0aW5nLTI2MTEwNjg4", "source_url": "https://www.ratemyprofessors.com/professor/1566085", "type": "review" } ] } ``` #### offered false #### profile hash e59ddc7389015d0035b68cd195c939d475bf72b959b29cf12eab59b454ccaef1 #### quick take Historical reviews describe MATH 531 as engaging with supportive instruction, though workload difficulty varies significantly by instructor. ```json { "citations": [ { "instructor_name": "Benedek Valko", "review_date": "2015-08-03 01:44:11 +0000 UTC", "review_id": "d56d93a705845d9da3ed1638", "run_id": "20260907T155543-ce3781c4", "source_instructor_id": "rmp:1566085", "source_review_id": "UmF0aW5nLTI1MDg2OTUy", "source_url": "https://www.ratemyprofessors.com/professor/1566085", "type": "review" }, { "instructor_name": "Benedek Valko", "review_date": "2016-03-03 17:34:22 +0000 UTC", "review_id": "3273700060f3f0ac22e5e09b", "run_id": "20260907T155543-ce3781c4", "source_instructor_id": "rmp:1566085", "source_review_id": "UmF0aW5nLTI2MTEwNjg4", "source_url": "https://www.ratemyprofessors.com/professor/1566085", "type": "review" }, { "instructor_name": "Vadim Gorin", "review_date": "2022-05-08 23:04:27 +0000 UTC", "review_id": "d7f969b385f345bcd23a3c0d", "run_id": "20260907T155543-ce3781c4", "source_instructor_id": "rmp:2778335", "source_review_id": "UmF0aW5nLTM2MjgwNTE5", "source_url": "https://www.ratemyprofessors.com/professor/2778335", "type": "review" } ] } ``` Recent recorded grades — Spring 2024: 2.94 GPA, 48.1% A/AB (n=27 letter grades); Spring 2025: 3.06 GPA, 56.0% A/AB (n=25 letter grades); Spring 2026: 3.13 GPA, 46.7% A/AB (n=30 letter grades). ```json { "citations": [ { "course_id": "MATH 531", "run_id": "20260907T155543-ce3781c4", "source_record": { "entity_id": "a5a747b8-b1c8-3765-8833-142e04c11a48", "file": "tables/observations.parquet", "kind": "grades", "source": "madgrades" }, "table": "grades_latest", "term_id": "1244", "type": "grade" }, { "course_id": "MATH 531", "run_id": "20260907T155543-ce3781c4", "source_record": { "entity_id": "a5a747b8-b1c8-3765-8833-142e04c11a48", "file": "tables/observations.parquet", "kind": "grades", "source": "madgrades" }, "table": "grades_latest", "term_id": "1254", "type": "grade" }, { "course_id": "MATH 531", "run_id": "20260907T155543-ce3781c4", "source_record": { "entity_id": "a5a747b8-b1c8-3765-8833-142e04c11a48", "file": "tables/observations.parquet", "kind": "grades", "source": "madgrades" }, "table": "grades_latest", "term_id": "1264", "type": "grade" } ] } ``` #### student experience Historical reviews of Benedek Valko: Students report high satisfaction with instructor support and academic guidance, noting that teaching style helps maximize student potential. ```json { "citations": [ { "instructor_name": "Benedek Valko", "review_date": "2015-08-03 01:44:11 +0000 UTC", "review_id": "d56d93a705845d9da3ed1638", "run_id": "20260907T155543-ce3781c4", "source_instructor_id": "rmp:1566085", "source_review_id": "UmF0aW5nLTI1MDg2OTUy", "source_url": "https://www.ratemyprofessors.com/professor/1566085", "type": "review" }, { "instructor_name": "Benedek Valko", "review_date": "2016-03-03 17:34:22 +0000 UTC", "review_id": "3273700060f3f0ac22e5e09b", "run_id": "20260907T155543-ce3781c4", "source_instructor_id": "rmp:1566085", "source_review_id": "UmF0aW5nLTI2MTEwNjg4", "source_url": "https://www.ratemyprofessors.com/professor/1566085", "type": "review" } ] } ``` #### task hash 74fb0997943e888960bbc9e47db8c4fd12e4292d55c20509d8d89db6a9910f68 #### teaching history BENEDEK VALKO is recorded teaching in Spring 2015, Spring 2016, Spring 2019, Spring 2020, Spring 2023. Recorded history may be incomplete and does not establish a future schedule. ```json { "citations": [ { "course_id": "MATH 531", "run_id": "20260907T155543-ce3781c4", "section_number": 1, "source_course_id": "a5a747b8-b1c8-3765-8833-142e04c11a48", "source_record": { "entity_id": "a5a747b8-b1c8-3765-8833-142e04c11a48", "file": "tables/observations.parquet", "kind": "grades", "source": "madgrades" }, "table": "section_grades_latest", "term_id": "1154", "type": "grade" }, { "course_id": "MATH 531", "run_id": "20260907T155543-ce3781c4", "section_number": 1, "source_course_id": "a5a747b8-b1c8-3765-8833-142e04c11a48", "source_record": { "entity_id": "a5a747b8-b1c8-3765-8833-142e04c11a48", "file": "tables/observations.parquet", "kind": "grades", "source": "madgrades" }, "table": "section_grades_latest", "term_id": "1164", "type": "grade" }, { "course_id": "MATH 531", "run_id": "20260907T155543-ce3781c4", "section_number": 1, "source_course_id": "a5a747b8-b1c8-3765-8833-142e04c11a48", "source_record": { "entity_id": "a5a747b8-b1c8-3765-8833-142e04c11a48", "file": "tables/observations.parquet", "kind": "grades", "source": "madgrades" }, "table": "section_grades_latest", "term_id": "1194", "type": "grade" }, { "course_id": "MATH 531", "run_id": "20260907T155543-ce3781c4", "section_number": 1, "source_course_id": "a5a747b8-b1c8-3765-8833-142e04c11a48", "source_record": { "entity_id": "a5a747b8-b1c8-3765-8833-142e04c11a48", "file": "tables/observations.parquet", "kind": "grades", "source": "madgrades" }, "table": "section_grades_latest", "term_id": "1204", "type": "grade" }, { "course_id": "MATH 531", "run_id": "20260907T155543-ce3781c4", "section_number": 1, "source_course_id": "a5a747b8-b1c8-3765-8833-142e04c11a48", "source_record": { "entity_id": "a5a747b8-b1c8-3765-8833-142e04c11a48", "file": "tables/observations.parquet", "kind": "grades", "source": "madgrades" }, "table": "section_grades_latest", "term_id": "1234", "type": "grade" } ] } ``` VADIM GORIN is recorded teaching in Spring 2022. Recorded history may be incomplete and does not establish a future schedule. ```json { "citations": [ { "course_id": "MATH 531", "run_id": "20260907T155543-ce3781c4", "section_number": 1, "source_course_id": "a5a747b8-b1c8-3765-8833-142e04c11a48", "source_record": { "entity_id": "a5a747b8-b1c8-3765-8833-142e04c11a48", "file": "tables/observations.parquet", "kind": "grades", "source": "madgrades" }, "table": "section_grades_latest", "term_id": "1224", "type": "grade" } ] } ``` #### term id 1272 #### term name 2026 Fall #### version 2 ### requirements #### nodes ```json [ { "children": [ "n1", "n2", "n3" ], "condition": null, "course": null, "evidence": "MATH 376,421, or521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program", "id": "n0", "kind": "any" }, { "children": [], "condition": null, "course": { "course_number": 376, "minimum_grade": null, "subjects": [ "MATH" ], "timing": "prior" }, "evidence": "MATH 376", "id": "n1", "kind": "course" }, { "children": [], "condition": null, "course": { "course_number": 421, "minimum_grade": null, "subjects": [ "MATH" ], "timing": "prior" }, "evidence": "421", "id": "n2", "kind": "course" }, { "children": [], "condition": null, "course": { "course_number": 521, "minimum_grade": null, "subjects": [ "MATH" ], "timing": "prior" }, "evidence": "521", "id": "n3", "kind": "course" } ] ``` #### notes * The text 'graduate/professional standing' and 'member of the Pre-Masters Mathematics (Visiting International) Program' are unlinked conditions. They are represented as verbatim condition leaves in the tree structure, but for brevity in this * The node n0 is an 'any' node combining three course prerequisites and two standing/program conditions. The courses MATH 376, 421, and 521 are linked. The standing/program conditions are unlinked and thus marked as condition leaves. #### root n0 #### status needs\_review ### instructors None recorded. ### offerings None recorded. ### sections None recorded. ### grade instructors ```json [ { "instructor_uid": "instructor_cda4aae4567f70b662d00163", "source": "madgrades", "source_instructor_id": "4538519", "identity_basis": "source_id", "identity_status": "source_identified", "name": "BENEDEK VALKO", "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": 28, "quality": 4.07, "difficulty": 3.25, "quality_count": 28, "difficulty_count": 28, "profile_id": "rmp:1566085", "source_url": "https://www.ratemyprofessors.com/professor/1566085", "match_basis": "exact_name", "observed_at": "2026-09-07 16:52:13.892497+00:00", "courses": { "course_c602622d732dbbc9aceeeddf": { "review_count": 1, "quality": 4, "difficulty": 3, "quality_count": 1, "difficulty_count": 1 }, "course_dcdb624e3fb8cbaf9a557ab9": { "review_count": 13, "quality": 4.08, "difficulty": 3.46, "quality_count": 13, "difficulty_count": 13 }, "course_436b4b4087325a19ccd87bd6": { "review_count": 3, "quality": 4.67, "difficulty": 2.33, "quality_count": 3, "difficulty_count": 3 }, "course_e0a93fa3466c39b6802e52a7": { "review_count": 2, "quality": 5, "difficulty": 2, "quality_count": 2, "difficulty_count": 2 }, "course_8634dde81cc95f6c58014087": { "review_count": 3, "quality": 4, "difficulty": 3.33, "quality_count": 3, "difficulty_count": 3 } }, "bayesian_quality": 3.899035743144415, "prior_mean": 3.6596857835465957, "prior_weight": 20 }, "grade_statistics": { "gpa": 3.153, "graded": 1160, "counts": [ 502, 118, 253, 66, 128, 57, 36 ], "sections": 57 }, "instructor_url": "/instructors/BENEDEK_VALKO--instructor_cda4aae4567f70b662d00163" }, { "instructor_uid": "instructor_bec15c77aa953cbac45042f2", "source": "madgrades", "source_instructor_id": "3374880", 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5, "difficulty": 2, "quality_count": 1, "difficulty_count": 1 } }, "bayesian_quality": 4.361755135022189, "prior_mean": 3.6596857835465957, "prior_weight": 20 }, "grade_statistics": { "gpa": 3.109, "graded": 882, "counts": [ 352, 85, 221, 47, 104, 48, 25 ], "sections": 50 }, "instructor_url": "/instructors/TIMO_SEPPALAINEN--instructor_bec15c77aa953cbac45042f2" }, { "instructor_uid": "instructor_07e97e8f54dc35670f330192", "source": "madgrades", "source_instructor_id": "6242456", "identity_basis": "source_id", "identity_status": "source_identified", "name": "VADIM GORIN", "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": 1, "quality": 4, "difficulty": 4, "quality_count": 1, "difficulty_count": 1, "profile_id": "rmp:2778335", "source_url": "https://www.ratemyprofessors.com/professor/2778335", "match_basis": "exact_name", "observed_at": "2026-09-07 16:00:21.533491+00:00", "courses": { "course_e0a93fa3466c39b6802e52a7": { "review_count": 1, "quality": 4, "difficulty": 4, "quality_count": 1, "difficulty_count": 1 } }, "bayesian_quality": 3.675891222425329, "prior_mean": 3.6596857835465957, "prior_weight": 20 }, "grade_statistics": { "gpa": 3.366, "graded": 127, "counts": [ 49, 35, 25, 10, 3, 3, 2 ], "sections": 7 }, "instructor_url": "/instructors/VADIM_GORIN" }, { "instructor_uid": "instructor_cb5593042198a18e4ec56a1c", "source": "madgrades", "source_instructor_id": "6315873", "identity_basis": "source_id", "identity_status": "source_identified", "name": "TATIANA SHCHERBYNA", "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", "grade_statistics": { "gpa": 3.346, "graded": 276, "counts": [ 129, 46, 54, 17, 17, 8, 5 ], "sections": 12 }, "instructor_url": "/instructors/TATIANA_SHCHERBYNA--instructor_cb5593042198a18e4ec56a1c" }, { "instructor_uid": "instructor_d70c790d3127f83d588b0d88", "source": "madgrades", "source_instructor_id": "6803764", "identity_basis": "source_id", "identity_status": "source_identified", "name": "ANDER AGUIRRE ZARATE", "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", "grade_statistics": { "gpa": 3.218, "graded": 94, "counts": [ 36, 10, 31, 3, 10, 3, 1 ], "sections": 3 }, "instructor_url": "/instructors/ANDER_AGUIRRE_ZARATE--instructor_d70c790d3127f83d588b0d88" } ] ``` ### grades ```json [ { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "MATH 531", "course_uid": "course_e0a93fa3466c39b6802e52a7", "term_id": "1154", "term_name": "Spring 2015", "instructors": [ "Benedek Valko" ], "a": 19, "ab": 3, "b": 4, "bc": 4, "c": 3, "d": 4, "f": 1, "satisfactory": 0, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 38, "source_aliases": [ "MATH 531" ] }, { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "MATH 531", "course_uid": "course_e0a93fa3466c39b6802e52a7", "term_id": "1164", "term_name": "Spring 2016", "instructors": [ "Benedek Valko" ], "a": 10, "ab": 4, "b": 3, "bc": 2, "c": 4, "d": 2, "f": 3, "satisfactory": 0, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 28, "source_aliases": [ "MATH 531" ] }, { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "MATH 531", "course_uid": "course_e0a93fa3466c39b6802e52a7", "term_id": "1174", "term_name": "Spring 2017", "instructors": [ "Timo Seppalainen" ], "a": 13, "ab": 0, "b": 4, "bc": 2, "c": 4, "d": 2, "f": 4, "satisfactory": 0, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 29, "source_aliases": [ "MATH 531" ] }, { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "MATH 531", "course_uid": "course_e0a93fa3466c39b6802e52a7", "term_id": "1184", "term_name": "Spring 2018", "instructors": [ "Timo Seppalainen" ], "a": 10, "ab": 6, "b": 6, "bc": 0, "c": 10, "d": 2, "f": 2, "satisfactory": 1, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 37, "source_aliases": [ "MATH 531" ] }, { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "MATH 531", "course_uid": "course_e0a93fa3466c39b6802e52a7", "term_id": "1194", "term_name": "Spring 2019", "instructors": [ "Benedek Valko" ], "a": 15, "ab": 1, "b": 7, "bc": 6, "c": 6, "d": 6, "f": 1, "satisfactory": 1, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 43, "source_aliases": [ "MATH 531" ] }, { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "MATH 531", "course_uid": "course_e0a93fa3466c39b6802e52a7", "term_id": "1204", "term_name": "Spring 2020", "instructors": [ "Benedek Valko" ], "a": 10, "ab": 4, "b": 5, "bc": 1, "c": 0, "d": 3, "f": 0, "satisfactory": 12, "unsatisfactory": 1, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 1, "total": 37, "source_aliases": [ "MATH 531" ] }, { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "MATH 531", "course_uid": "course_e0a93fa3466c39b6802e52a7", "term_id": "1224", "term_name": "Spring 2022", "instructors": [ "VADIM GORIN" ], "a": 11, "ab": 7, "b": 8, "bc": 7, "c": 3, "d": 3, "f": 1, "satisfactory": 0, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 40, "source_aliases": [ "MATH 531" ] }, { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "MATH 531", "course_uid": "course_e0a93fa3466c39b6802e52a7", "term_id": "1234", "term_name": "Spring 2023", "instructors": [ "Benedek Valko" ], "a": 11, "ab": 4, "b": 3, "bc": 0, "c": 0, "d": 2, "f": 2, "satisfactory": 1, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 23, "source_aliases": [ "MATH 531" ] }, { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "MATH 531", "course_uid": "course_e0a93fa3466c39b6802e52a7", "term_id": "1244", "term_name": "Spring 2024", "instructors": [ "TATIANA SHCHERBYNA" ], "a": 10, "ab": 3, "b": 7, "bc": 0, "c": 3, "d": 2, "f": 2, "satisfactory": 0, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 27, "source_aliases": [ "MATH 531" ] }, { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "MATH 531", "course_uid": "course_e0a93fa3466c39b6802e52a7", "term_id": "1254", "term_name": "Spring 2025", "instructors": [ "TATIANA SHCHERBYNA" ], "a": 8, "ab": 6, "b": 3, "bc": 3, "c": 2, "d": 3, "f": 0, "satisfactory": 0, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 0, "other": 0, "total": 25, "source_aliases": [ "MATH 531" ] }, { "run_id": "20260907T155543-ce3781c4", "semester": "1272", "observed_at": "2026-09-07 15:55:43.033547+00:00", "course_id": "MATH 531", "course_uid": "course_e0a93fa3466c39b6802e52a7", "term_id": "1264", "term_name": "Spring 2026", "instructors": [ "Ander Aguirre Zarate" ], "a": 11, "ab": 3, "b": 8, "bc": 3, "c": 3, "d": 2, "f": 0, "satisfactory": 0, "unsatisfactory": 0, "credit": 0, "no_credit": 0, "passed": 0, "incomplete": 0, "no_work": 0, "not_reported": 1, "other": 0, "total": 31, "source_aliases": [ "MATH 531" ] } ] ``` ### statistics #### gpa 2.96 #### graded 340 #### counts * 128 * 41 * 58 * 28 * 38 * 31 * 16 ### grade conflicts None recorded. ### evidence #### history * [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course\_e0a93fa3466c39b6802e52a7-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_e0a93fa3466c39b6802e52a7-0.json) #### traces * [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_e0a93fa3466c39b6802e52a7-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_e0a93fa3466c39b6802e52a7-0.json) #### reviews * [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course\_e0a93fa3466c39b6802e52a7-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_e0a93fa3466c39b6802e52a7-0.json) #### results * [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_e0a93fa3466c39b6802e52a7-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_e0a93fa3466c39b6802e52a7-0.json) ### revision e243353dcb7d79b7247ced91d69443ef4c2a6349 ## context ### all #### term #### gpa 2.960294117647059 #### count 340 #### university ##### size 3781 ##### gpa Percentile 1 ##### count Percentile 73 ##### median Count 143 ##### 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 | 13 | false | | 2.8–3.2 | 244 | true | | 3.2–3.6 | 1003 | false | | 3.6–4.0 | 2521 | false | #### departments ```json [ { "subject": "MATH", "comparison": { "size": 100, "gpaPercentile": 9, "countPercentile": 72, "medianCount": 165.5, "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": 6, "current": false }, { "range": "2.8–3.2", "count": 23, "current": true }, { "range": "3.2–3.6", "count": 25, "current": false }, { "range": "3.6–4.0", "count": 46, "current": false } ] } } ] ``` ### terms #### 1154 ##### term 1154 ##### gpa 3.1184210526315788 ##### count 38 ##### university ###### size 935 ###### gpa Percentile 22 ###### count Percentile 15 ###### median Count 63 ###### 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 | 38 | false | | 2.8–3.2 | 237 | true | | 3.2–3.6 | 326 | false | | 3.6–4.0 | 334 | false | ##### departments ```json [ { "subject": "MATH", "comparison": { "size": 33, "gpaPercentile": 72, "countPercentile": 19, "medianCount": 69, "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": 10, "current": false }, { "range": "2.8–3.2", "count": 15, "current": true }, { "range": "3.2–3.6", "count": 6, "current": false }, { "range": "3.6–4.0", "count": 2, "current": false } ] } } ] ``` #### 1164 ##### term 1164 ##### gpa 2.7857142857142856 ##### count 28 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1174 ##### term 1174 ##### gpa 2.7241379310344827 ##### count 29 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1184 ##### term 1184 ##### gpa 2.8055555555555554 ##### count 36 ##### university ###### size 1010 ###### gpa Percentile 3 ###### count Percentile 13 ###### median Count 68 ###### 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 | 26 | false | | 2.8–3.2 | 210 | true | | 3.2–3.6 | 355 | false | | 3.6–4.0 | 418 | false | ##### departments ```json [ { "subject": "MATH", "comparison": { "size": 36, "gpaPercentile": 23, "countPercentile": 14, "medianCount": 83.5, "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": 1, "current": false }, { "range": "2.4–2.8", "count": 7, "current": false }, { "range": "2.8–3.2", "count": 18, "current": true }, { "range": "3.2–3.6", "count": 7, "current": false }, { "range": "3.6–4.0", "count": 3, "current": false } ] } } ] ``` #### 1194 ##### term 1194 ##### gpa 2.7976190476190474 ##### count 42 ##### university ###### size 1040 ###### gpa Percentile 2 ###### count Percentile 23 ###### median Count 67 ###### 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 | 23 | true | | 2.8–3.2 | 220 | false | | 3.2–3.6 | 342 | false | | 3.6–4.0 | 454 | false | ##### departments ```json [ { "subject": "MATH", "comparison": { "size": 38, "gpaPercentile": 16, "countPercentile": 22, "medianCount": 71.5, "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": 1, "current": false }, { "range": "2.4–2.8", "count": 6, "current": true }, { "range": "2.8–3.2", "count": 18, "current": false }, { "range": "3.2–3.6", "count": 6, "current": false }, { "range": "3.6–4.0", "count": 7, "current": false } ] } } ] ``` #### 1204 ##### term 1204 ##### gpa 3.239130434782609 ##### count 23 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1224 ##### term 1224 ##### gpa 2.975 ##### count 40 ##### university ###### size 1171 ###### gpa Percentile 5 ###### count Percentile 22 ###### median Count 64 ###### 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 | 3 | false | | 2.4–2.8 | 21 | false | | 2.8–3.2 | 173 | true | | 3.2–3.6 | 358 | false | | 3.6–4.0 | 616 | false | ##### departments ```json [ { "subject": "MATH", "comparison": { "size": 34, "gpaPercentile": 21, "countPercentile": 18, "medianCount": 87.5, "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": 2, "current": false }, { "range": "2.4–2.8", "count": 4, "current": false }, { "range": "2.8–3.2", "count": 12, "current": true }, { "range": "3.2–3.6", "count": 12, "current": false }, { "range": "3.6–4.0", "count": 4, "current": false } ] } } ] ``` #### 1234 ##### term 1234 ##### gpa 3.1363636363636362 ##### count 22 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1244 ##### term 1244 ##### gpa 2.9444444444444446 ##### count 27 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1254 ##### term 1254 ##### gpa 3.06 ##### count 25 ##### departments | subject | comparison | | ------- | ---------- | | MATH | | #### 1264 ##### term 1264 ##### gpa 3.1333333333333333 ##### count 30 ##### university ###### size 1283 ###### gpa Percentile 9 ###### count Percentile 0 ###### median Count 66 ###### 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 | 20 | false | | 2.8–3.2 | 130 | true | | 3.2–3.6 | 343 | false | | 3.6–4.0 | 789 | false | ##### departments ```json [ { "subject": "MATH", "comparison": { "size": 42, "gpaPercentile": 51, "countPercentile": 0, "medianCount": 80, "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": 1, "current": false }, { "range": "2.4–2.8", "count": 7, "current": false }, { "range": "2.8–3.2", "count": 17, "current": true }, { "range": "3.2–3.6", "count": 11, "current": false }, { "range": "3.6–4.0", "count": 6, "current": false } ] } } ] ``` ### benchmarks #### all ##### school ###### size 3781 ###### gpa 3.679437712393396 ###### top Share 83.1593901260606 ###### count 143 ##### MATH ###### size 100 ###### gpa 3.4951215660356767 ###### top Share 72.3147190123998 ###### count 165.5 #### terms ##### 1154 ###### school ###### size 935 ###### gpa 3.4282378385810093 ###### top Share 67.66674668721691 ###### count 63 ###### MATH ###### size 33 ###### gpa 2.9834698949629033 ###### top Share 46.71989715257013 ###### count 69 ##### 1164 ###### school ###### size 965 ###### gpa 3.46491230798535 ###### top Share 69.92376287143657 ###### count 68 ###### MATH ###### size 32 ###### gpa 2.995223360849456 ###### top Share 46.38098813836469 ###### count 83 ##### 1174 ###### school ###### size 955 ###### gpa 3.4597947384071412 ###### top Share 69.5290038366363 ###### count 69 ###### MATH ###### size 32 ###### gpa 2.992971960864239 ###### top Share 44.393513280464695 ###### count 89 ##### 1184 ###### school ###### size 1010 ###### gpa 3.47925290354517 ###### top Share 70.86270937115944 ###### count 68 ###### MATH ###### size 36 ###### gpa 3.0650838986714333 ###### top Share 47.42689290604571 ###### count 83.5 ##### 1194 ###### school ###### size 1040 ###### gpa 3.4906527436719808 ###### top Share 71.74728845515045 ###### count 67 ###### MATH ###### size 38 ###### gpa 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ARTIFICIAL INTELLIGENCE | | COMPSCI 541 | THEORY & ALGORITHMS FOR DATA SCIENCE | | COMPSCI 566 | INTRODUCTION TO COMPUTER VISION | | COMPSCI 580 | INTELLIGENT ROBOTICS | | COMPSCI/ECE 561 | PROBABILITY AND INFORMATION THEORY IN MACHINE LEARNING | | ISYE 315 | PRODUCTION PLANNING AND CONTROL | | ISYE 320 | SIMULATION AND PROBABILISTIC MODELING | | ISYE 373 | ARTIFICIAL INTELLIGENCE (AI) IN SYSTEMS | | ISYE 412 | FUNDAMENTALS OF INDUSTRIAL DATA ANALYTICS | | ISYE/MATH/OTM/STAT 632 | INTRODUCTION TO STOCHASTIC PROCESSES | | ISYE/PSYCH 349 | INTRODUCTION TO HUMAN FACTORS | | MATH 535 | MATHEMATICAL METHODS IN DATA SCIENCE | | MATH 616 | DATA-DRIVEN DYNAMICAL SYSTEMS, STOCHASTIC MODELING AND PREDICTION | | MATH/STAT 310 | INTRODUCTION TO PROBABILITY AND MATHEMATICAL STATISTICS II | | STAT 312 | INTRODUCTION TO THEORY AND METHODS OF MATHEMATICAL STATISTICS II | | STAT 461 | FINANCIAL STATISTICS |