# Explore UW–Madison Courses, Grades & Prerequisites | UW Courses

[View on UW Courses](https://uwcourses.com/search?page=95)

## Dataset

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

### repository

twangodev/uwcourses

### schema version

6

### importer version

7

### projection id

85abe9ff8837c2c5a134368dcc4cfc85eb723524b21ddeb3d2e953887d2f0c8f

### observed at

2026-09-07T15:55:43.033547+00:00

### built at

2026-09-11T07:45:51.576183+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    |

### deployed at

2026-09-15T15:11:56.182256+00:00

### site commit

6527d88010a9f0b640ed5434ce776c4215b60d90

## results

### items

```json
[
  {
    "course_uid": "course_a0267213f16255cce8332683",
    "course_id": "MATH 415",
    "title": "APPLIED DYNAMICAL SYSTEMS, CHAOS AND MODELING",
    "credits_min": 3,
    "credits_max": 3,
    "gpa": 3.31,
    "badges": [],
    "description": "Covers nonlinear dynamical systems, stability, bifurcations, and chaos with scientific applications.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          52,
          28,
          25,
          12,
          17,
          4,
          0
        ],
        "count": 138,
        "gpa": 3.253623188405797,
        "topShare": 57.971014492753625,
        "firstTerm": "1232",
        "lastTerm": "1262"
      },
      "instructors": [
        {
          "course_uid": "course_a0267213f16255cce8332683",
          "uid": "instructor_271b9d1ecd658234318625fa",
          "name": "Pouria Behnoudfar",
          "quality": 3.5736398117796484,
          "quality_count": 3,
          "instructor_url": "/instructors/POURIA_BEHNOUDFAR"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": {
        "citations": [
          {
            "instructor_name": "Pouria Behnoudfar",
            "review_date": "2025-11-28 21:21:03 +0000 UTC",
            "review_id": "795af2fd4a1aa0f7be05da9f",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:3101377",
            "source_review_id": "UmF0aW5nLTQxOTY1MDUw",
            "source_url": "https://www.ratemyprofessors.com/professor/3101377",
            "type": "review"
          }
        ],
        "text": "Homework is easy, but midterm exams are described as insanely hard, though graded leniently based on comprehension."
      },
      "reviewFiles": [
        "/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_a0267213f16255cce8332683-0.json"
      ]
    }
  },
  {
    "course_uid": "course_4aa5bbed0c86993f5f0dc832",
    "course_id": "MATH 421",
    "title": "THE THEORY OF SINGLE VARIABLE CALCULUS",
    "credits_min": 3,
    "credits_max": 3,
    "gpa": 3.12,
    "badges": [
      {
        "id": "grade-outcomes",
        "label": "Lower grades",
        "tone": "negative",
        "evidence": "Spring 2026 · latest released grades before Fall 2026: 2.99 GPA across 88 letter grades, versus 3.62 for UW–Madison (1283 courses). Requires a difference of at least 0.20 and 30 letter grades. Historical outcomes, not predicted difficulty.",
        "sources": [
          {
            "label": "Grade history and sources",
            "href": "/courses/MATH_421#grades"
          }
        ]
      }
    ],
    "description": "Covers first and second semester calculus material while teaching math majors to write and understand proofs.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          312,
          122,
          197,
          94,
          102,
          47,
          9
        ],
        "count": 883,
        "gpa": 3.1166477916194792,
        "topShare": 49.15062287655719,
        "firstTerm": "1224",
        "lastTerm": "1264"
      },
      "instructors": [
        {
          "course_uid": "course_4aa5bbed0c86993f5f0dc832",
          "uid": "instructor_60a1b4e1fd2479d8329d4fc4",
          "name": "Fernando Al Assal",
          "quality": 3.5244945321333057,
          "quality_count": 32,
          "instructor_url": "/instructors/FERNANDO_AL_ASSAL"
        },
        {
          "course_uid": "course_4aa5bbed0c86993f5f0dc832",
          "uid": "instructor_948f1e684e42d306e22c5629",
          "name": "Yayi Fu",
          "quality": 3.0303706938089707,
          "quality_count": 17,
          "instructor_url": "/instructors/YAYI_FU"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": {
        "citations": [
          {
            "instructor_name": "Yayi Fu",
            "review_date": "2024-12-17 01:51:06 +0000 UTC",
            "review_id": "786cc8d96fa7cb1d54c5f10b",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:3041657",
            "source_review_id": "UmF0aW5nLTQwMzMyNjIy",
            "source_url": "https://www.ratemyprofessors.com/professor/3041657",
            "type": "review"
          },
          {
            "instructor_name": "Yayi Fu",
            "review_date": "2025-01-08 02:05:56 +0000 UTC",
            "review_id": "cef2e0ea23fecbe8875c5dbc",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:3041657",
            "source_review_id": "UmF0aW5nLTQwNTA1MDcx",
            "source_url": "https://www.ratemyprofessors.com/professor/3041657",
            "type": "review"
          },
          {
            "instructor_name": "Yayi Fu",
            "review_date": "2026-01-24 23:52:03 +0000 UTC",
            "review_id": "a1cc9bdda41791f9ecd92a1c",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:3041657",
            "source_review_id": "UmF0aW5nLTQyNTQ1NzI3",
            "source_url": "https://www.ratemyprofessors.com/professor/3041657",
            "type": "review"
          }
        ],
        "text": "Some students report that homework and exams are difficult, requiring memorization of proofs from notes rather than independent thinking. They criticize the lack of introductory proof instruction and contradictory materials."
      },
      "reviewFiles": [
        "/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_4aa5bbed0c86993f5f0dc832-0.json"
      ]
    }
  },
  {
    "course_uid": "course_e7b7ff33c37b147a17b2d14d",
    "course_id": "MATH 467",
    "title": "INTRODUCTION TO NUMBER THEORY",
    "credits_min": 3,
    "credits_max": 3,
    "gpa": 3.264,
    "badges": [
      {
        "id": "grade-outcomes",
        "label": "Lower grades",
        "tone": "negative",
        "evidence": "Spring 2026 · latest released grades before Fall 2026: 2.48 GPA across 31 letter grades, versus 3.62 for UW–Madison (1283 courses). Requires a difference of at least 0.20 and 30 letter grades. Historical outcomes, not predicted difficulty.",
        "sources": [
          {
            "label": "Grade history and sources",
            "href": "/courses/MATH_467#grades"
          }
        ]
      }
    ],
    "description": "MATH 467 introduces proof writing techniques through classical topics in elementary number theory.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          102,
          53,
          67,
          29,
          34,
          10,
          7
        ],
        "count": 302,
        "gpa": 3.129139072847682,
        "topShare": 51.324503311258276,
        "firstTerm": "1232",
        "lastTerm": "1264"
      },
      "instructors": [
        {
          "course_uid": "course_e7b7ff33c37b147a17b2d14d",
          "uid": "instructor_0f4da1c73bb756d2b23d7804",
          "name": "Mikhail Ivanov",
          "quality": 3.302401807358311,
          "quality_count": 44,
          "instructor_url": "/instructors/MIKHAIL_IVANOV"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": {
        "citations": [
          {
            "instructor_name": "Mikhail Ivanov",
            "review_date": "2023-12-13 02:19:34 +0000 UTC",
            "review_id": "7dd71b93e361eb57388d3fe3",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:2680569",
            "source_review_id": "UmF0aW5nLTM4NjQxMTEz",
            "source_url": "https://www.ratemyprofessors.com/professor/2680569",
            "type": "review"
          }
        ],
        "text": "The course is rated as moderately difficult. Negative perceptions may stem from students encountering a hard math class for the first time rather than the instructor's teaching."
      },
      "reviewFiles": [
        "/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_e7b7ff33c37b147a17b2d14d-0.json"
      ]
    }
  },
  {
    "course_uid": "course_364c50303ed83d1234b4ea51",
    "course_id": "MATH 521",
    "title": "ANALYSIS I",
    "credits_min": 3,
    "credits_max": 3,
    "gpa": 3.081,
    "badges": [
      {
        "id": "grade-outcomes",
        "label": "Lower grades",
        "tone": "negative",
        "evidence": "Spring 2026 · latest released grades before Fall 2026: 3.26 GPA across 131 letter grades, versus 3.62 for UW–Madison (1283 courses). Requires a difference of at least 0.20 and 30 letter grades. Historical outcomes, not predicted difficulty.",
        "sources": [
          {
            "label": "Grade history and sources",
            "href": "/courses/MATH_521#grades"
          }
        ]
      }
    ],
    "description": "Analysis I covers real numbers, set theory, metric spaces, topology, and core calculus concepts like limits, continuity, and integration.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          385,
          173,
          230,
          105,
          121,
          34,
          20
        ],
        "count": 1068,
        "gpa": 3.1591760299625467,
        "topShare": 52.24719101123596,
        "firstTerm": "1224",
        "lastTerm": "1264"
      },
      "instructors": [
        {
          "course_uid": "course_364c50303ed83d1234b4ea51",
          "uid": "instructor_761e0a77717658997d77afcd",
          "name": "Ben Johnsrude",
          "quality": 3.7997381529554963,
          "quality_count": 4,
          "instructor_url": "/instructors/BEN_JOHNSRUDE"
        },
        {
          "course_uid": "course_364c50303ed83d1234b4ea51",
          "uid": "instructor_5adf09f95a785596103c4112",
          "name": "Gheorghe Craciun",
          "quality": null,
          "quality_count": null,
          "instructor_url": "/instructors/GHEORGHE_CRACIUN"
        },
        {
          "course_uid": "course_364c50303ed83d1234b4ea51",
          "uid": "instructor_8a9245f2a116c8bf9279109e",
          "name": "Sergey Denisov",
          "quality": null,
          "quality_count": null,
          "instructor_url": "/instructors/SERGEY_DENISOV"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": {
        "citations": [
          {
            "instructor_name": "Arun Ram",
            "review_date": "2005-07-26 12:56:10 +0000 UTC",
            "review_id": "55d30f503ec2631351e25e82",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:202881",
            "source_review_id": "UmF0aW5nLTEwMDYxMzc4",
            "source_url": "https://www.ratemyprofessors.com/professor/202881",
            "type": "review"
          },
          {
            "instructor_name": "Betsy (Lindsay) Stovall",
            "review_date": "2017-01-09 17:57:14 +0000 UTC",
            "review_id": "32af75a20b22520f300e65b3",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:1786920",
            "source_review_id": "UmF0aW5nLTI3NzAyMjYx",
            "source_url": "https://www.ratemyprofessors.com/professor/1786920",
            "type": "review"
          }
        ],
        "text": "Historical reviews of Arun Ram, Betsy (Lindsay) Stovall: The course is difficult, with homework described as impossible to finish and lectures moving at a fast pace, requiring significant effort and careful note-taking."
      },
      "reviewFiles": [
        "/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_364c50303ed83d1234b4ea51-0.json"
      ]
    }
  },
  {
    "course_uid": "course_0dd25611eebe714d971b7bfb",
    "course_id": "MATH 522",
    "title": "ANALYSIS II",
    "credits_min": 3,
    "credits_max": 3,
    "gpa": 3.209,
    "badges": [
      {
        "id": "lecture-size",
        "label": "Small lectures",
        "tone": "neutral",
        "evidence": "Fall 2026: median 24.5 enrolled students across 2 recorded lecture sections. Small means 30 or fewer; large means 100 or more. Enrollment at scan time, not capacity or typical historical attendance.",
        "sources": [
          {
            "label": "Sections and enrollment",
            "href": "/courses/MATH_522#schedule"
          }
        ]
      }
    ],
    "description": "Covers special functions, series, metric space topology, and differential calculus in normed spaces.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          176,
          38,
          48,
          24,
          25,
          6,
          3
        ],
        "count": 320,
        "gpa": 3.428125,
        "topShare": 66.875,
        "firstTerm": "1224",
        "lastTerm": "1264"
      },
      "instructors": [
        {
          "course_uid": "course_0dd25611eebe714d971b7bfb",
          "uid": "instructor_0d34b3b5979c3c964a0896c9",
          "name": "Xianghong Gong",
          "quality": 2.2177556104931555,
          "quality_count": 63,
          "instructor_url": "/instructors/XIANGHONG_GONG"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": {
        "citations": [
          {
            "instructor_name": "Xianghong Gong",
            "review_date": "2019-09-05 17:06:14 +0000 UTC",
            "review_id": "ebb53353c24d8e94be9b509f",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:517842",
            "source_review_id": "UmF0aW5nLTMyMjE0NjY2",
            "source_url": "https://www.ratemyprofessors.com/professor/517842",
            "type": "review"
          }
        ],
        "text": "The course is rated as difficult, with students finding the lecture structure challenging to navigate due to lack of clarity."
      },
      "reviewFiles": [
        "/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_0dd25611eebe714d971b7bfb-0.json"
      ]
    }
  },
  {
    "course_uid": "course_85a2851be919e3db46f0fbc1",
    "course_id": "MATH 535",
    "title": "MATHEMATICAL METHODS IN DATA SCIENCE",
    "credits_min": 3,
    "credits_max": 3,
    "gpa": 3.497,
    "badges": [
      {
        "id": "grade-outcomes",
        "label": "Higher grades",
        "tone": "positive",
        "evidence": "Spring 2026 · latest released grades before Fall 2026: 3.87 GPA across 46 letter grades, versus 3.62 for UW–Madison (1283 courses). Requires a difference of at least 0.20 and 30 letter grades. Historical outcomes, not predicted difficulty.",
        "sources": [
          {
            "label": "Grade history and sources",
            "href": "/courses/MATH_535#grades"
          }
        ]
      }
    ],
    "description": "MATH 535 teaches mathematical methods for data science, including matrix factorizations, optimization, and probabilistic models.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          225,
          42,
          98,
          17,
          27,
          10,
          6
        ],
        "count": 425,
        "gpa": 3.4058823529411764,
        "topShare": 62.82352941176471,
        "firstTerm": "1224",
        "lastTerm": "1264"
      },
      "instructors": [
        {
          "course_uid": "course_85a2851be919e3db46f0fbc1",
          "uid": "instructor_e9dd6e6897f68e46e794e28a",
          "name": "Thu Le",
          "quality": 3.1580439915623564,
          "quality_count": 19,
          "instructor_url": "/instructors/THU_LE"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": {
        "citations": [
          {
            "instructor_name": "Sebastien Roch",
            "review_date": "2022-11-14 18:43:13 +0000 UTC",
            "review_id": "5baaf784dec668003f51e692",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:1781624",
            "source_review_id": "UmF0aW5nLTM2ODI4NDY0",
            "source_url": "https://www.ratemyprofessors.com/professor/1781624",
            "type": "review"
          },
          {
            "instructor_name": "Hanbaek Lyu",
            "review_date": "2023-05-18 03:02:29 +0000 UTC",
            "review_id": "40e56987a5609337d0e8f1d7",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:2911773",
            "source_review_id": "UmF0aW5nLTM3OTUwNzMz",
            "source_url": "https://www.ratemyprofessors.com/professor/2911773",
            "type": "review"
          },
          {
            "instructor_name": "Sebastien Roch",
            "review_date": "2024-04-11 21:21:56 +0000 UTC",
            "review_id": "168c2120a6a814e7641cd631",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:1781624",
            "source_review_id": "UmF0aW5nLTM5MTU4Nzc0",
            "source_url": "https://www.ratemyprofessors.com/professor/1781624",
            "type": "review"
          }
        ],
        "text": "Historical reviews of Hanbaek Lyu, Sebastien Roch: Reviewers describe the homework and exams as challenging, with some noting that the course feels like a proof-heavy extension of linear algebra rather than a data science course."
      },
      "reviewFiles": [
        "/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_85a2851be919e3db46f0fbc1-0.json"
      ]
    }
  },
  {
    "course_uid": "course_edc3174bf073c9d7af51f678",
    "course_id": "MATH 540",
    "title": "LINEAR ALGEBRA II",
    "credits_min": 3,
    "credits_max": 3,
    "gpa": 3.546,
    "badges": [
      {
        "id": "grade-outcomes",
        "label": "Higher grades",
        "tone": "positive",
        "evidence": "Fall 2025 · latest released grades before Fall 2026: 4.00 GPA across 33 letter grades, versus 3.63 for UW–Madison (1320 courses). Requires a difference of at least 0.20 and 30 letter grades. Historical outcomes, not predicted difficulty.",
        "sources": [
          {
            "label": "Grade history and sources",
            "href": "/courses/MATH_540#grades"
          }
        ]
      }
    ],
    "description": "Linear Algebra II covers advanced linear transformations, Jordan forms, spectral theory, and multilinear algebra.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          62,
          23,
          15,
          6,
          7,
          0,
          0
        ],
        "count": 113,
        "gpa": 3.561946902654867,
        "topShare": 75.22123893805309,
        "firstTerm": "1224",
        "lastTerm": "1262"
      },
      "instructors": [
        {
          "course_uid": "course_edc3174bf073c9d7af51f678",
          "uid": "instructor_15048860d250b5e199b5ce77",
          "name": "Shamgar Gurevitch",
          "quality": null,
          "quality_count": null,
          "instructor_url": "/instructors/SHAMGAR_GUREVITCH"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": {
        "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."
      },
      "reviewFiles": [
        "/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_edc3174bf073c9d7af51f678-0.json"
      ]
    }
  },
  {
    "course_uid": "course_7e12e6bf6be7a81f7ca74420",
    "course_id": "MATH 541",
    "title": "MODERN ALGEBRA 1",
    "credits_min": 3,
    "credits_max": 3,
    "gpa": 3.011,
    "badges": [
      {
        "id": "grade-outcomes",
        "label": "Lower grades",
        "tone": "negative",
        "evidence": "Spring 2026 · latest released grades before Fall 2026: 3.06 GPA across 95 letter grades, versus 3.62 for UW–Madison (1283 courses). Requires a difference of at least 0.20 and 30 letter grades. Historical outcomes, not predicted difficulty.",
        "sources": [
          {
            "label": "Grade history and sources",
            "href": "/courses/MATH_541#grades"
          }
        ]
      }
    ],
    "description": "MATH 541 Modern Algebra 1 covers groups, rings, ideals, homomorphisms, and abstract vector spaces.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          299,
          87,
          133,
          69,
          79,
          37,
          15
        ],
        "count": 719,
        "gpa": 3.152990264255911,
        "topShare": 53.68567454798331,
        "firstTerm": "1224",
        "lastTerm": "1264"
      },
      "instructors": [
        {
          "course_uid": "course_7e12e6bf6be7a81f7ca74420",
          "uid": "instructor_0f4da1c73bb756d2b23d7804",
          "name": "Mikhail Ivanov",
          "quality": 3.302401807358311,
          "quality_count": 44,
          "instructor_url": "/instructors/MIKHAIL_IVANOV"
        },
        {
          "course_uid": "course_7e12e6bf6be7a81f7ca74420",
          "uid": "instructor_d06a148410e3d6fb6586caea",
          "name": "Isabella Scott",
          "quality": null,
          "quality_count": null,
          "instructor_url": "/instructors/ISABELLA_SCOTT"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": {
        "citations": [
          {
            "instructor_name": "Mikhail Ivanov",
            "review_date": "2026-01-19 03:20:32 +0000 UTC",
            "review_id": "4397fa091070931c0dae78fd",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:2680569",
            "source_review_id": "UmF0aW5nLTQyNTE4MDg3",
            "source_url": "https://www.ratemyprofessors.com/professor/2680569",
            "type": "review"
          },
          {
            "instructor_name": "Mikhail Ivanov",
            "review_date": "2026-01-20 19:19:32 +0000 UTC",
            "review_id": "b0ab1153fc6678a5be1b0aa8",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:2680569",
            "source_review_id": "UmF0aW5nLTQyNTI0NTU4",
            "source_url": "https://www.ratemyprofessors.com/professor/2680569",
            "type": "review"
          }
        ],
        "text": "Homework and exam difficulty is described as perfect and very doable, with a good textbook provided."
      },
      "reviewFiles": [
        "/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_7e12e6bf6be7a81f7ca74420-0.json"
      ]
    }
  },
  {
    "course_uid": "course_60c2767a206a079d3af2a1a4",
    "course_id": "MATH 542",
    "title": "MODERN ALGEBRA 2",
    "credits_min": 3,
    "credits_max": 3,
    "gpa": 3.299,
    "badges": [
      {
        "id": "grade-outcomes",
        "label": "Lower grades",
        "tone": "negative",
        "evidence": "Spring 2026 · latest released grades before Fall 2026: 3.34 GPA across 31 letter grades, versus 3.62 for UW–Madison (1283 courses). Requires a difference of at least 0.20 and 30 letter grades. Historical outcomes, not predicted difficulty.",
        "sources": [
          {
            "label": "Grade history and sources",
            "href": "/courses/MATH_542#grades"
          }
        ]
      }
    ],
    "description": "Modern Algebra 2 covers field theory, polynomial roots, and linear algebra topics including canonical forms and determinants.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          94,
          41,
          55,
          18,
          19,
          6,
          3
        ],
        "count": 236,
        "gpa": 3.277542372881356,
        "topShare": 57.20338983050848,
        "firstTerm": "1224",
        "lastTerm": "1264"
      },
      "instructors": [
        {
          "course_uid": "course_60c2767a206a079d3af2a1a4",
          "uid": "instructor_d8e21dc656f2a3ade8f11194",
          "name": "Robert Lemke Oliver",
          "quality": null,
          "quality_count": null,
          "instructor_url": "/instructors/ROBERT_LEMKE_OLIVER"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": {
        "citations": [
          {
            "instructor_name": "Paul Terwilliger",
            "review_date": "2017-03-27 10:31:06 +0000 UTC",
            "review_id": "2ee50a9a2a8dbcb9bf9494c5",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:952212",
            "source_review_id": "UmF0aW5nLTI3OTUxMjg5",
            "source_url": "https://www.ratemyprofessors.com/professor/952212",
            "type": "review"
          },
          {
            "instructor_name": "Paul Apisa",
            "review_date": "2024-07-20 04:36:57 +0000 UTC",
            "review_id": "a1b98b0bdb8d63427d4c95c8",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:2846901",
            "source_review_id": "UmF0aW5nLTM5NjMzNjI1",
            "source_url": "https://www.ratemyprofessors.com/professor/2846901",
            "type": "review"
          },
          {
            "instructor_name": "Joshua Mundinger",
            "review_date": "2025-05-15 04:38:48 +0000 UTC",
            "review_id": "fb9fafb9f8f1faa25b93a245",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:2967013",
            "source_review_id": "UmF0aW5nLTQxMjg5ODcz",
            "source_url": "https://www.ratemyprofessors.com/professor/2967013",
            "type": "review"
          },
          {
            "instructor_name": "Uri Andrews",
            "review_date": "2026-03-31 16:23:48 +0000 UTC",
            "review_id": "3ca8e79759200ebd4bf8cc97",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:1503053",
            "source_review_id": "UmF0aW5nLTQyNzYwNzAy",
            "source_url": "https://www.ratemyprofessors.com/professor/1503053",
            "type": "review"
          }
        ],
        "text": "Historical reviews of Joshua Mundinger, Paul Apisa, Paul Terwilliger, Uri Andrews: Students report substantial weekly homework loads, sometimes exceeding 20 hours, and exams that cover extensive material, though some instructors offer flexibility or generous grading."
      },
      "reviewFiles": [
        "/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_60c2767a206a079d3af2a1a4-0.json"
      ]
    }
  },
  {
    "course_uid": "course_7d3f055b392d74c588d35d0b",
    "course_id": "MATH 551",
    "title": "POINT-SET TOPOLOGY",
    "credits_min": 3,
    "credits_max": 3,
    "gpa": 3.145,
    "badges": [
      {
        "id": "rated-teacher",
        "label": "Highly rated instructor",
        "tone": "positive",
        "evidence": "Fall 2026: Caglar Uyanik (4.37/5 adjusted; 29 ratings). At least one assigned instructor qualifies. This describes instructor reviews across courses, not a course rating.",
        "sources": [
          {
            "label": "Caglar Uyanik",
            "href": "/instructors/CAGLAR_UYANIK"
          }
        ]
      },
      {
        "id": "grade-outcomes",
        "label": "Lower grades",
        "tone": "negative",
        "evidence": "Spring 2026 · latest released grades before Fall 2026: 3.31 GPA across 40 letter grades, versus 3.62 for UW–Madison (1283 courses). Requires a difference of at least 0.20 and 30 letter grades. Historical outcomes, not predicted difficulty.",
        "sources": [
          {
            "label": "Grade history and sources",
            "href": "/courses/MATH_551#grades"
          }
        ]
      }
    ],
    "description": "Covers topological spaces, connectedness, compactness, separation axioms, and metric spaces.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          152,
          56,
          79,
          28,
          32,
          10,
          6
        ],
        "count": 363,
        "gpa": 3.2644628099173554,
        "topShare": 57.30027548209367,
        "firstTerm": "1224",
        "lastTerm": "1264"
      },
      "instructors": [
        {
          "course_uid": "course_7d3f055b392d74c588d35d0b",
          "uid": "instructor_1ef4ea987a48aaba8c95fe68",
          "name": "Caglar Uyanik",
          "quality": 4.370075830019019,
          "quality_count": 29,
          "instructor_url": "/instructors/CAGLAR_UYANIK"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": {
        "citations": [
          {
            "instructor_name": "Arun Ram",
            "review_date": "2007-12-19 01:55:40 +0000 UTC",
            "review_id": "940135304f7131458f97114d",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:202881",
            "source_review_id": "UmF0aW5nLTEzODcxMzE3",
            "source_url": "https://www.ratemyprofessors.com/professor/202881",
            "type": "review"
          },
          {
            "instructor_name": "Mingzhong Cai",
            "review_date": "2013-08-14 21:45:13 +0000 UTC",
            "review_id": "135ec97f33ea1b0b3a5f1dbc",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:1709676",
            "source_review_id": "UmF0aW5nLTIyMDU0NjQ4",
            "source_url": "https://www.ratemyprofessors.com/professor/1709676",
            "type": "review"
          }
        ],
        "text": "Historical reviews of Arun Ram, Mingzhong Cai: Workload varies significantly; Arun Ram assigned tons of homework causing late nights, while Mingzhong Cai’s take-home exams required over ten hours per midterm despite being difficult."
      },
      "reviewFiles": [
        "/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_7d3f055b392d74c588d35d0b-0.json"
      ]
    }
  },
  {
    "course_uid": "course_225e4c9e92f2538c1ae5e8bf",
    "course_id": "MATH 619",
    "title": "ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS",
    "credits_min": 3,
    "credits_max": 3,
    "gpa": 3.639,
    "badges": [],
    "description": "Rigorous introduction to the theoretical underpinnings and methods of modern PDE theory.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          84,
          7,
          18,
          3,
          3,
          0,
          2
        ],
        "count": 117,
        "gpa": 3.658119658119658,
        "topShare": 77.77777777777779,
        "firstTerm": "1224",
        "lastTerm": "1262"
      },
      "instructors": [
        {
          "course_uid": "course_225e4c9e92f2538c1ae5e8bf",
          "uid": "instructor_2daa8f11c1881eaa65c04549",
          "name": "Mihaela Ifrim",
          "quality": 2.8691267107723,
          "quality_count": 33,
          "instructor_url": "/instructors/MIHAELA_IFRIM"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": {
        "citations": [
          {
            "instructor_name": "Hung Tran",
            "review_date": "2024-05-10 21:17:55 +0000 UTC",
            "review_id": "106763ca0d10ee1f34bafbe5",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:2230918",
            "source_review_id": "UmF0aW5nLTM5NDMzODE2",
            "source_url": "https://www.ratemyprofessors.com/professor/2230918",
            "type": "review"
          }
        ],
        "text": "Historical reviews of Hung Tran: Reviewers report that the homework load is too high and the problems are super hard, requiring significant time investment."
      },
      "reviewFiles": [
        "/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_225e4c9e92f2538c1ae5e8bf-0.json"
      ]
    }
  },
  {
    "course_uid": "course_64d13a0af427315fce8f2740",
    "course_id": "MATH 681",
    "title": "SENIOR HONORS THESIS",
    "credits_min": 3,
    "credits_max": 3,
    "gpa": null,
    "badges": [],
    "description": "MATH 681 is an individual study course for honors math majors to write a thesis in mathematics.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          0,
          0,
          0,
          0,
          0,
          0,
          0
        ],
        "count": 0,
        "gpa": null,
        "topShare": null
      },
      "instructors": [
        {
          "course_uid": "course_64d13a0af427315fce8f2740",
          "uid": "instructor_81b19386639c1eb68bbb4ae0",
          "name": "Benedek Valko",
          "quality": 3.899035743144415,
          "quality_count": 28,
          "instructor_url": "/instructors/BENEDEK_VALKO"
        },
        {
          "course_uid": "course_64d13a0af427315fce8f2740",
          "uid": "instructor_ea5517bc01bedc0d67eb54f6",
          "name": "Chenxi Wu",
          "quality": 2.643057780232594,
          "quality_count": 27,
          "instructor_url": "/instructors/CHENXI_WU"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": {
        "citations": [
          {
            "instructor_name": "Paul Milewski",
            "review_date": "2010-05-09 00:50:30 +0000 UTC",
            "review_id": "0a49096a86711273b5f1a8f2",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:129393",
            "source_review_id": "UmF0aW5nLTE3MTU1NzE0",
            "source_url": "https://www.ratemyprofessors.com/professor/129393",
            "type": "review"
          }
        ],
        "text": "Historical reviews highlight Paul Milewski as a helpful and beneficial instructor for research opportunities, though his lecture effectiveness remains unverified by this single source."
      },
      "reviewFiles": [
        "/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_64d13a0af427315fce8f2740-0.json"
      ]
    }
  },
  {
    "course_uid": "course_c52d222c08a1555849504114",
    "course_id": "MATH 682",
    "title": "SENIOR HONORS THESIS",
    "credits_min": 3,
    "credits_max": 3,
    "gpa": 4,
    "badges": [],
    "description": "MATH 682 is an individual study course for honors math majors to write a thesis in mathematics.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          1,
          0,
          0,
          0,
          0,
          0,
          0
        ],
        "count": 1,
        "gpa": 4,
        "topShare": 100,
        "firstTerm": "1224",
        "lastTerm": "1224"
      },
      "instructors": [
        {
          "course_uid": "course_c52d222c08a1555849504114",
          "uid": "instructor_9b3b4c345606b9fe2555cbe6",
          "name": "Marissa Loving",
          "quality": 3.77745060272815,
          "quality_count": 6,
          "instructor_url": "/instructors/MARISSA_LOVING"
        },
        {
          "course_uid": "course_c52d222c08a1555849504114",
          "uid": "instructor_ea5517bc01bedc0d67eb54f6",
          "name": "Chenxi Wu",
          "quality": 2.643057780232594,
          "quality_count": 27,
          "instructor_url": "/instructors/CHENXI_WU"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": null,
      "reviewFiles": []
    }
  },
  {
    "course_uid": "course_abc40b4a6866bb97d239156e",
    "course_id": "MATH 691",
    "title": "UNDERGRADUATE THESIS",
    "credits_min": 2,
    "credits_max": 4,
    "gpa": null,
    "badges": [
      {
        "id": "rated-teacher",
        "label": "Highly rated instructor",
        "tone": "positive",
        "evidence": "Fall 2026: Hung Tran (4.13/5 adjusted; 19 ratings). At least one assigned instructor qualifies. This describes instructor reviews across courses, not a course rating.",
        "sources": [
          {
            "label": "Hung Tran",
            "href": "/instructors/HUNG_TRAN"
          }
        ]
      }
    ],
    "description": "MATH 691 is an individual study course for students writing a thesis in mathematics.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          0,
          0,
          0,
          0,
          0,
          0,
          0
        ],
        "count": 0,
        "gpa": null,
        "topShare": null
      },
      "instructors": [
        {
          "course_uid": "course_abc40b4a6866bb97d239156e",
          "uid": "instructor_a980c5c891f2d21d3f348876",
          "name": "Hung Tran",
          "quality": 4.132402965921331,
          "quality_count": 19,
          "instructor_url": "/instructors/HUNG_TRAN"
        },
        {
          "course_uid": "course_abc40b4a6866bb97d239156e",
          "uid": "instructor_8dd08f6c4d6fbf7b53a15053",
          "name": "Grace Work",
          "quality": 3.7204111667186823,
          "quality_count": 62,
          "instructor_url": "/instructors/GRACE_WORK"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": null,
      "reviewFiles": []
    }
  },
  {
    "course_uid": "course_b29e90ca7f22f0d138916bb0",
    "course_id": "MATH 698",
    "title": "DIRECTED STUDY",
    "credits_min": 1,
    "credits_max": 3,
    "gpa": null,
    "badges": [
      {
        "id": "rated-teacher",
        "label": "Highly rated instructor",
        "tone": "positive",
        "evidence": "Fall 2026: Saverio Spagnolie (4.13/5 adjusted; 54 ratings); Brian Street (4.06/5 adjusted; 112 ratings). At least one assigned instructor qualifies. This describes instructor reviews across courses, not a course rating.",
        "sources": [
          {
            "label": "Saverio Spagnolie",
            "href": "/instructors/SAVERIO_SPAGNOLIE"
          },
          {
            "label": "Brian Street",
            "href": "/instructors/BRIAN_STREET"
          }
        ]
      }
    ],
    "description": "MATH 698 offers directed study projects arranged individually with a faculty member.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          0,
          0,
          0,
          0,
          0,
          0,
          0
        ],
        "count": 0,
        "gpa": null,
        "topShare": null
      },
      "instructors": [
        {
          "course_uid": "course_b29e90ca7f22f0d138916bb0",
          "uid": "instructor_fb0089f6535bf484f3132ce8",
          "name": "Saverio Spagnolie",
          "quality": 4.126942103661242,
          "quality_count": 54,
          "instructor_url": "/instructors/SAVERIO_SPAGNOLIE"
        },
        {
          "course_uid": "course_b29e90ca7f22f0d138916bb0",
          "uid": "instructor_d9e6dc7c2525e05e8417649d",
          "name": "Brian Street",
          "quality": 4.058740270234333,
          "quality_count": 112,
          "instructor_url": "/instructors/BRIAN_STREET"
        },
        {
          "course_uid": "course_b29e90ca7f22f0d138916bb0",
          "uid": "instructor_a270e82be07bd3a275f6e005",
          "name": "Stephen Wright",
          "quality": 3.839790522364397,
          "quality_count": 10,
          "instructor_url": "/instructors/STEPHEN_WRIGHT"
        },
        {
          "course_uid": "course_b29e90ca7f22f0d138916bb0",
          "uid": "instructor_6f78a52f7684feaea56867f1",
          "name": "Paul Terwilliger",
          "quality": 3.070236477085033,
          "quality_count": 38,
          "instructor_url": "/instructors/PAUL_TERWILLIGER"
        },
        {
          "course_uid": "course_b29e90ca7f22f0d138916bb0",
          "uid": "instructor_14f5202904355297fd0f984a",
          "name": "Laurentiu Maxim",
          "quality": 3.0230616116599256,
          "quality_count": 89,
          "instructor_url": "/instructors/LAURENTIU_MAXIM"
        },
        {
          "course_uid": "course_b29e90ca7f22f0d138916bb0",
          "uid": "instructor_2daa8f11c1881eaa65c04549",
          "name": "Mihaela Ifrim",
          "quality": 2.8691267107723,
          "quality_count": 33,
          "instructor_url": "/instructors/MIHAELA_IFRIM"
        },
        {
          "course_uid": "course_b29e90ca7f22f0d138916bb0",
          "uid": "instructor_fdbdcb32e4cb925a1f5ad270",
          "name": "Leslie Smith",
          "quality": null,
          "quality_count": null,
          "instructor_url": "/instructors/LESLIE_SMITH--instructor_fdbdcb32e4cb925a1f5ad270"
        },
        {
          "course_uid": "course_b29e90ca7f22f0d138916bb0",
          "uid": "instructor_f4e74e07ce1d40bc1a7b1e58",
          "name": "Yue Sun",
          "quality": null,
          "quality_count": null,
          "instructor_url": "/instructors/YUE_SUN"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": null,
      "reviewFiles": []
    }
  },
  {
    "course_uid": "course_dc3b8c6a00e91bb2d66da1ba",
    "course_id": "MATH 699",
    "title": "DIRECTED STUDY",
    "credits_min": 1,
    "credits_max": 6,
    "gpa": 4,
    "badges": [
      {
        "id": "rated-teacher",
        "label": "Highly rated instructor",
        "tone": "positive",
        "evidence": "Fall 2026: Thierry Laurens (4.35/5 adjusted; 21 ratings); Maurice Fabien (4.19/5 adjusted; 39 ratings). At least one assigned instructor qualifies. This describes instructor reviews across courses, not a course rating.",
        "sources": [
          {
            "label": "Thierry Laurens",
            "href": "/instructors/THIERRY_LAURENS"
          },
          {
            "label": "Maurice Fabien",
            "href": "/instructors/MAURICE_FABIEN"
          }
        ]
      }
    ],
    "description": "MATH 699 offers directed study projects arranged with a faculty member.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          8,
          0,
          0,
          0,
          0,
          0,
          0
        ],
        "count": 8,
        "gpa": 4,
        "topShare": 100,
        "firstTerm": "1224",
        "lastTerm": "1224"
      },
      "instructors": [
        {
          "course_uid": "course_dc3b8c6a00e91bb2d66da1ba",
          "uid": "instructor_80979a8234a11e1ab5192d49",
          "name": "Thierry Laurens",
          "quality": 4.3461881870959,
          "quality_count": 21,
          "instructor_url": "/instructors/THIERRY_LAURENS"
        },
        {
          "course_uid": "course_dc3b8c6a00e91bb2d66da1ba",
          "uid": "instructor_33e71e04d30ae8934be2f42b",
          "name": "Maurice Fabien",
          "quality": 4.188707045270032,
          "quality_count": 39,
          "instructor_url": "/instructors/MAURICE_FABIEN"
        },
        {
          "course_uid": "course_dc3b8c6a00e91bb2d66da1ba",
          "uid": "instructor_9fc5daaac38df280f02b3a14",
          "name": "Niclas Technau",
          "quality": 3.7040745943883437,
          "quality_count": 3,
          "instructor_url": "/instructors/NICLAS_TECHNAU"
        },
        {
          "course_uid": "course_dc3b8c6a00e91bb2d66da1ba",
          "uid": "instructor_0f4da1c73bb756d2b23d7804",
          "name": "Mikhail Ivanov",
          "quality": 3.302401807358311,
          "quality_count": 44,
          "instructor_url": "/instructors/MIKHAIL_IVANOV"
        },
        {
          "course_uid": "course_dc3b8c6a00e91bb2d66da1ba",
          "uid": "instructor_f4e74e07ce1d40bc1a7b1e58",
          "name": "Yue Sun",
          "quality": null,
          "quality_count": null,
          "instructor_url": "/instructors/YUE_SUN"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": null,
      "reviewFiles": []
    }
  },
  {
    "course_uid": "course_2db4657387c508ee429c51fd",
    "course_id": "MATH 703",
    "title": "METHODS OF APPLIED MATHEMATICS 1",
    "credits_min": 3,
    "credits_max": 3,
    "gpa": 3.798,
    "badges": [
      {
        "id": "lecture-size",
        "label": "Small lectures",
        "tone": "neutral",
        "evidence": "Fall 2026: median 22 enrolled students across 1 recorded lecture section. Small means 30 or fewer; large means 100 or more. Enrollment at scan time, not capacity or typical historical attendance.",
        "sources": [
          {
            "label": "Sections and enrollment",
            "href": "/courses/MATH_703#schedule"
          }
        ]
      }
    ],
    "description": "Methods of Applied Mathematics 1 covers linear algebraic structures, boundary value problems, complex analysis techniques, and PDE solution methods.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          96,
          10,
          6,
          2,
          0,
          1,
          0
        ],
        "count": 115,
        "gpa": 3.8521739130434782,
        "topShare": 92.17391304347827,
        "firstTerm": "1232",
        "lastTerm": "1262"
      },
      "instructors": [
        {
          "course_uid": "course_2db4657387c508ee429c51fd",
          "uid": "instructor_fdbdcb32e4cb925a1f5ad270",
          "name": "Leslie Smith",
          "quality": null,
          "quality_count": null,
          "instructor_url": "/instructors/LESLIE_SMITH--instructor_fdbdcb32e4cb925a1f5ad270"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": {
        "citations": [
          {
            "instructor_name": "Georghe Craciun",
            "review_date": "2014-12-17 20:23:40 +0000 UTC",
            "review_id": "293bd4b0b9cae10981ba2bc2",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:767263",
            "source_review_id": "UmF0aW5nLTI0MTI0NTk3",
            "source_url": "https://www.ratemyprofessors.com/professor/767263",
            "type": "review"
          },
          {
            "instructor_name": "Georghe Craciun",
            "review_date": "2014-12-21 20:50:31 +0000 UTC",
            "review_id": "22cd1ea217aa3037c7082e05",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:767263",
            "source_review_id": "UmF0aW5nLTI0MTYzODMy",
            "source_url": "https://www.ratemyprofessors.com/professor/767263",
            "type": "review"
          }
        ],
        "text": "Historical reviews of Georghe Craciun: Reviewers rated the difficulty as very low under Craciun, noting that his teaching style simplifies material that might otherwise require blind memorization."
      },
      "reviewFiles": [
        "/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_2db4657387c508ee429c51fd-0.json"
      ]
    }
  },
  {
    "course_uid": "course_6b1402df5d4cb88b5d36366c",
    "course_id": "MATH 717",
    "title": "STOCHASTIC COMPUTATIONAL METHODS",
    "credits_min": 3,
    "credits_max": 3,
    "gpa": 3.975,
    "badges": [
      {
        "id": "rated-teacher",
        "label": "Highly rated instructor",
        "tone": "positive",
        "evidence": "Fall 2026: Nan Chen (4.21/5 adjusted; 29 ratings). At least one assigned instructor qualifies. This describes instructor reviews across courses, not a course rating.",
        "sources": [
          {
            "label": "Nan Chen",
            "href": "/instructors/NAN_CHEN"
          }
        ]
      },
      {
        "id": "grade-outcomes",
        "label": "Higher grades",
        "tone": "positive",
        "evidence": "Fall 2025 · latest released grades before Fall 2026: 4.00 GPA across 34 letter grades, versus 3.63 for UW–Madison (1320 courses). Requires a difference of at least 0.20 and 30 letter grades. Historical outcomes, not predicted difficulty.",
        "sources": [
          {
            "label": "Grade history and sources",
            "href": "/courses/MATH_717#grades"
          }
        ]
      }
    ],
    "description": "MATH 717 introduces computational methods using stochastic algorithms for random mathematical problems, covering Monte Carlo, Bayesian inference, and SDEs.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          114,
          2,
          2,
          0,
          0,
          0,
          0
        ],
        "count": 118,
        "gpa": 3.9745762711864407,
        "topShare": 98.30508474576271,
        "firstTerm": "1232",
        "lastTerm": "1262"
      },
      "instructors": [
        {
          "course_uid": "course_6b1402df5d4cb88b5d36366c",
          "uid": "instructor_eed27452237c073abcf30787",
          "name": "Nan Chen",
          "quality": 4.210279911651671,
          "quality_count": 29,
          "instructor_url": "/instructors/NAN_CHEN"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": null,
      "reviewFiles": []
    }
  },
  {
    "course_uid": "course_ea2467d47ea0b9ba151aeeef",
    "course_id": "MATH 719",
    "title": "PARTIAL DIFFERENTIAL EQUATIONS",
    "credits_min": 3,
    "credits_max": 3,
    "gpa": 3.783,
    "badges": [],
    "description": "Covers classical and modern functional analysis-based theory of partial differential equations.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          66,
          7,
          5,
          2,
          2,
          1,
          0
        ],
        "count": 83,
        "gpa": 3.7771084337349397,
        "topShare": 87.95180722891565,
        "firstTerm": "1232",
        "lastTerm": "1262"
      },
      "instructors": [
        {
          "course_uid": "course_ea2467d47ea0b9ba151aeeef",
          "uid": "instructor_080411f458fb0b22a1f62678",
          "name": "Mikhail Feldman",
          "quality": 2.5226701424630176,
          "quality_count": 90,
          "instructor_url": "/instructors/MIKHAIL_FELDMAN"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": null,
      "reviewFiles": []
    }
  },
  {
    "course_uid": "course_ca15df4740b1471d223b790c",
    "course_id": "MATH 721",
    "title": "A FIRST COURSE IN REAL ANALYSIS",
    "credits_min": 3,
    "credits_max": 3,
    "gpa": 3.606,
    "badges": [
      {
        "id": "rated-teacher",
        "label": "Highly rated instructor",
        "tone": "positive",
        "evidence": "Fall 2026: Brian Street (4.06/5 adjusted; 112 ratings). At least one assigned instructor qualifies. This describes instructor reviews across courses, not a course rating.",
        "sources": [
          {
            "label": "Brian Street",
            "href": "/instructors/BRIAN_STREET"
          }
        ]
      }
    ],
    "description": "A first course in real analysis covering measures, integration, differentiation, and Hilbert spaces.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          62,
          28,
          41,
          12,
          6,
          0,
          0
        ],
        "count": 149,
        "gpa": 3.4295302013422817,
        "topShare": 60.40268456375839,
        "firstTerm": "1232",
        "lastTerm": "1262"
      },
      "instructors": [
        {
          "course_uid": "course_ca15df4740b1471d223b790c",
          "uid": "instructor_d9e6dc7c2525e05e8417649d",
          "name": "Brian Street",
          "quality": 4.058740270234333,
          "quality_count": 112,
          "instructor_url": "/instructors/BRIAN_STREET"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": {
        "citations": [
          {
            "instructor_name": "Alexandru Ionescu",
            "review_date": "2004-04-26 10:42:32 +0000 UTC",
            "review_id": "161bd1b25fc9a76806710c8d",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:290819",
            "source_review_id": "UmF0aW5nLTIwMzIzMTI=",
            "source_url": "https://www.ratemyprofessors.com/professor/290819",
            "type": "review"
          },
          {
            "instructor_name": "Betsy (Lindsay) Stovall",
            "review_date": "2014-12-18 11:55:29 +0000 UTC",
            "review_id": "6af027f64a7dab6776196a07",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:1786920",
            "source_review_id": "UmF0aW5nLTI0MTMyMDAw",
            "source_url": "https://www.ratemyprofessors.com/professor/1786920",
            "type": "review"
          },
          {
            "instructor_name": "Betsy (Lindsay) Stovall",
            "review_date": "2014-12-21 20:35:31 +0000 UTC",
            "review_id": "18cc0cd566f49a0e01c5ffc8",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:1786920",
            "source_review_id": "UmF0aW5nLTI0MTYzNzM3",
            "source_url": "https://www.ratemyprofessors.com/professor/1786920",
            "type": "review"
          },
          {
            "instructor_name": "Betsy (Lindsay) Stovall",
            "review_date": "2017-12-14 14:04:25 +0000 UTC",
            "review_id": "8aae2014945fb4ddde8b1c65",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:1786920",
            "source_review_id": "UmF0aW5nLTI5MTk5Njk2",
            "source_url": "https://www.ratemyprofessors.com/professor/1786920",
            "type": "review"
          }
        ],
        "text": "Historical reviews of Alexandru Ionescu, Betsy (Lindsay) Stovall: Reviews consistently characterize the course as hard with difficult homework and exams. Students report learning significantly from the challenging assignments."
      },
      "reviewFiles": [
        "/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_ca15df4740b1471d223b790c-0.json"
      ]
    }
  },
  {
    "course_uid": "course_72733c94bb8725b969d3e958",
    "course_id": "MATH 741",
    "title": "ABSTRACT ALGEBRA",
    "credits_min": 3,
    "credits_max": 3,
    "gpa": 3.596,
    "badges": [
      {
        "id": "rated-teacher",
        "label": "Highly rated instructor",
        "tone": "positive",
        "evidence": "Fall 2026: Jordan Ellenberg (4.13/5 adjusted; 28 ratings). At least one assigned instructor qualifies. This describes instructor reviews across courses, not a course rating.",
        "sources": [
          {
            "label": "Jordan Ellenberg",
            "href": "/instructors/JORDAN_ELLENBERG"
          }
        ]
      },
      {
        "id": "lecture-size",
        "label": "Small lectures",
        "tone": "neutral",
        "evidence": "Fall 2026: median 23 enrolled students across 1 recorded lecture section. Small means 30 or fewer; large means 100 or more. Enrollment at scan time, not capacity or typical historical attendance.",
        "sources": [
          {
            "label": "Sections and enrollment",
            "href": "/courses/MATH_741#schedule"
          }
        ]
      }
    ],
    "description": "Abstract Algebra (MATH 741) covers finite groups and noncommutative rings, including Sylow theorems and Wedderburn theorems.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          67,
          32,
          36,
          3,
          0,
          0,
          0
        ],
        "count": 138,
        "gpa": 3.5905797101449277,
        "topShare": 71.73913043478261,
        "firstTerm": "1232",
        "lastTerm": "1262"
      },
      "instructors": [
        {
          "course_uid": "course_72733c94bb8725b969d3e958",
          "uid": "instructor_1542317169ef2e7aae9a1d1a",
          "name": "Jordan Ellenberg",
          "quality": 4.126535743144415,
          "quality_count": 28,
          "instructor_url": "/instructors/JORDAN_ELLENBERG"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": {
        "citations": [
          {
            "instructor_name": "Jordan Ellenberg",
            "review_date": "2019-11-13 03:14:32 +0000 UTC",
            "review_id": "74ca934ff5e1a14f1ac25200",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:1012704",
            "source_review_id": "UmF0aW5nLTMyNDAzMjA2",
            "source_url": "https://www.ratemyprofessors.com/professor/1012704",
            "type": "review"
          }
        ],
        "text": "The homework is described as unique and interesting, but reviewers note that completing these assignments takes a significant amount of time."
      },
      "reviewFiles": [
        "/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_72733c94bb8725b969d3e958-0.json"
      ]
    }
  },
  {
    "course_uid": "course_f32e1ae7afb72f8b801acebb",
    "course_id": "MATH 749",
    "title": "ANALYTIC NUMBER THEORY",
    "credits_min": 3,
    "credits_max": 3,
    "gpa": 3.918,
    "badges": [
      {
        "id": "lecture-size",
        "label": "Small lectures",
        "tone": "neutral",
        "evidence": "Fall 2026: median 15 enrolled students across 1 recorded lecture section. Small means 30 or fewer; large means 100 or more. Enrollment at scan time, not capacity or typical historical attendance.",
        "sources": [
          {
            "label": "Sections and enrollment",
            "href": "/courses/MATH_749#schedule"
          }
        ]
      }
    ],
    "description": "This course introduces the Riemann zeta function and Dirichlet L-functions, applying them to prime number distribution and quadratic fields.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          13,
          2,
          0,
          0,
          0,
          0,
          0
        ],
        "count": 15,
        "gpa": 3.933333333333333,
        "topShare": 100,
        "firstTerm": "1242",
        "lastTerm": "1242"
      },
      "instructors": [
        {
          "course_uid": "course_f32e1ae7afb72f8b801acebb",
          "uid": "instructor_9fc5daaac38df280f02b3a14",
          "name": "Niclas Technau",
          "quality": 3.7040745943883437,
          "quality_count": 3,
          "instructor_url": "/instructors/NICLAS_TECHNAU"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": null,
      "reviewFiles": []
    }
  },
  {
    "course_uid": "course_f5b6bdfc443b676b16f5eb9d",
    "course_id": "MATH 751",
    "title": "INTRODUCTORY TOPOLOGY I",
    "credits_min": 3,
    "credits_max": 3,
    "gpa": 3.691,
    "badges": [
      {
        "id": "lecture-size",
        "label": "Small lectures",
        "tone": "neutral",
        "evidence": "Fall 2026: median 23 enrolled students across 1 recorded lecture section. Small means 30 or fewer; large means 100 or more. Enrollment at scan time, not capacity or typical historical attendance.",
        "sources": [
          {
            "label": "Sections and enrollment",
            "href": "/courses/MATH_751#schedule"
          }
        ]
      }
    ],
    "description": "MATH 751 introduces algebraic and differential topology, covering homotopy, manifolds, and homology.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          91,
          12,
          7,
          2,
          1,
          0,
          0
        ],
        "count": 113,
        "gpa": 3.84070796460177,
        "topShare": 91.1504424778761,
        "firstTerm": "1232",
        "lastTerm": "1262"
      },
      "instructors": [
        {
          "course_uid": "course_f5b6bdfc443b676b16f5eb9d",
          "uid": "instructor_14f5202904355297fd0f984a",
          "name": "Laurentiu Maxim",
          "quality": 3.0230616116599256,
          "quality_count": 89,
          "instructor_url": "/instructors/LAURENTIU_MAXIM"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": null,
      "reviewFiles": []
    }
  },
  {
    "course_uid": "course_963da18c52ee0091bf4904b6",
    "course_id": "MATH 761",
    "title": "DIFFERENTIABLE MANIFOLDS",
    "credits_min": 3,
    "credits_max": 3,
    "gpa": 3.805,
    "badges": [
      {
        "id": "lecture-size",
        "label": "Small lectures",
        "tone": "neutral",
        "evidence": "Fall 2026: median 17 enrolled students across 1 recorded lecture section. Small means 30 or fewer; large means 100 or more. Enrollment at scan time, not capacity or typical historical attendance.",
        "sources": [
          {
            "label": "Sections and enrollment",
            "href": "/courses/MATH_761#schedule"
          }
        ]
      }
    ],
    "description": "MATH 761 covers differentiable manifolds, vector bundles, differential forms, and Riemannian metrics.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          66,
          20,
          16,
          0,
          4,
          0,
          0
        ],
        "count": 106,
        "gpa": 3.6792452830188678,
        "topShare": 81.13207547169812,
        "firstTerm": "1224",
        "lastTerm": "1262"
      },
      "instructors": [
        {
          "course_uid": "course_963da18c52ee0091bf4904b6",
          "uid": "instructor_c4c50d10b1787f93d53c248d",
          "name": "Sean Paul",
          "quality": 1.8773042582859996,
          "quality_count": 242,
          "instructor_url": "/instructors/SEAN_PAUL"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": {
        "citations": [
          {
            "instructor_name": "Sean Paul",
            "review_date": "2022-05-17 01:03:49 +0000 UTC",
            "review_id": "2fe315ab7499d90f7b56ba04",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:1029779",
            "source_review_id": "UmF0aW5nLTM2MzU0NDE1",
            "source_url": "https://www.ratemyprofessors.com/professor/1029779",
            "type": "review"
          }
        ],
        "text": "Homework assignments are difficult and require significant time to solve step-by-step."
      },
      "reviewFiles": [
        "/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_963da18c52ee0091bf4904b6-0.json"
      ]
    }
  },
  {
    "course_uid": "course_9a6491f1f0afb5f7e3a8a1ed",
    "course_id": "MATH 763",
    "title": "INTRODUCTION TO ALGEBRAIC GEOMETRY",
    "credits_min": 3,
    "credits_max": 3,
    "gpa": 3.803,
    "badges": [
      {
        "id": "lecture-size",
        "label": "Small lectures",
        "tone": "neutral",
        "evidence": "Fall 2026: median 27 enrolled students across 1 recorded lecture section. Small means 30 or fewer; large means 100 or more. Enrollment at scan time, not capacity or typical historical attendance.",
        "sources": [
          {
            "label": "Sections and enrollment",
            "href": "/courses/MATH_763#schedule"
          }
        ]
      }
    ],
    "description": "Introduction to algebraic geometry covering algebraic preliminaries, local rings, valuation theory, power series rings, and the geometry of algebraic varieties.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          55,
          5,
          5,
          0,
          0,
          0,
          0
        ],
        "count": 65,
        "gpa": 3.8846153846153846,
        "topShare": 92.3076923076923,
        "firstTerm": "1232",
        "lastTerm": "1252"
      },
      "instructors": [
        {
          "course_uid": "course_9a6491f1f0afb5f7e3a8a1ed",
          "uid": "instructor_604a83a35e4237c82d99435b",
          "name": "Andrei Caldararu",
          "quality": 2.876151807358311,
          "quality_count": 44,
          "instructor_url": "/instructors/ANDREI_CALDARARU"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": null,
      "reviewFiles": []
    }
  },
  {
    "course_uid": "course_bdcdafe99c9aab1eafa8371d",
    "course_id": "MATH 770",
    "title": "FOUNDATIONS OF MATHEMATICS",
    "credits_min": 3,
    "credits_max": 3,
    "gpa": 3.852,
    "badges": [
      {
        "id": "lecture-size",
        "label": "Small lectures",
        "tone": "neutral",
        "evidence": "Fall 2026: median 24 enrolled students across 1 recorded lecture section. Small means 30 or fewer; large means 100 or more. Enrollment at scan time, not capacity or typical historical attendance.",
        "sources": [
          {
            "label": "Sections and enrollment",
            "href": "/courses/MATH_770#schedule"
          }
        ]
      }
    ],
    "description": "A graduate course covering first-order logic, model theory theorems, computability, and set theory foundations.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          77,
          0,
          0,
          0,
          0,
          0,
          0
        ],
        "count": 77,
        "gpa": 4,
        "topShare": 100,
        "firstTerm": "1232",
        "lastTerm": "1262"
      },
      "instructors": [
        {
          "course_uid": "course_bdcdafe99c9aab1eafa8371d",
          "uid": "instructor_be5c24b98e4a5132a7591fdc",
          "name": "Uri Andrews",
          "quality": 3.4208220672888765,
          "quality_count": 94,
          "instructor_url": "/instructors/URI_ANDREWS"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": {
        "citations": [
          {
            "instructor_name": "Uri Andrews",
            "review_date": "2025-12-28 19:55:20 +0000 UTC",
            "review_id": "7368fbb02a544d8818bbead9",
            "run_id": "20260907T155543-ce3781c4",
            "source_instructor_id": "rmp:1503053",
            "source_review_id": "UmF0aW5nLTQyNDA5NTc4",
            "source_url": "https://www.ratemyprofessors.com/professor/1503053",
            "type": "review"
          }
        ],
        "text": "The course is rated as easy, though the chaotic organization may require extra effort to navigate the material effectively."
      },
      "reviewFiles": [
        "/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_bdcdafe99c9aab1eafa8371d-0.json"
      ]
    }
  },
  {
    "course_uid": "course_b3238962df56ba95554ede07",
    "course_id": "MATH 790",
    "title": "MASTERS THESIS",
    "credits_min": 1,
    "credits_max": 3,
    "gpa": null,
    "badges": [
      {
        "id": "rated-teacher",
        "label": "Highly rated instructor",
        "tone": "positive",
        "evidence": "Fall 2026: Timo Seppalainen (4.36/5 adjusted; 22 ratings). At least one assigned instructor qualifies. This describes instructor reviews across courses, not a course rating.",
        "sources": [
          {
            "label": "Timo Seppalainen",
            "href": "/instructors/TIMO_SEPPALAINEN"
          }
        ]
      }
    ],
    "description": "MATH 790 is a graduate thesis course where students work on a Master's thesis under faculty supervision.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          0,
          0,
          0,
          0,
          0,
          0,
          0
        ],
        "count": 0,
        "gpa": null,
        "topShare": null
      },
      "instructors": [
        {
          "course_uid": "course_b3238962df56ba95554ede07",
          "uid": "instructor_0c76709959a18ffe5c653f42",
          "name": "Timo Seppalainen",
          "quality": 4.361755135022189,
          "quality_count": 22,
          "instructor_url": "/instructors/TIMO_SEPPALAINEN"
        },
        {
          "course_uid": "course_b3238962df56ba95554ede07",
          "uid": "instructor_be5c24b98e4a5132a7591fdc",
          "name": "Uri Andrews",
          "quality": 3.4208220672888765,
          "quality_count": 94,
          "instructor_url": "/instructors/URI_ANDREWS"
        },
        {
          "course_uid": "course_b3238962df56ba95554ede07",
          "uid": "instructor_604a83a35e4237c82d99435b",
          "name": "Andrei Caldararu",
          "quality": 2.876151807358311,
          "quality_count": 44,
          "instructor_url": "/instructors/ANDREI_CALDARARU"
        },
        {
          "course_uid": "course_b3238962df56ba95554ede07",
          "uid": "instructor_6e251d73f72e8960c92dff3f",
          "name": "Jose Rodriguez",
          "quality": 2.432294263745252,
          "quality_count": 47,
          "instructor_url": "/instructors/JOSE_RODRIGUEZ"
        },
        {
          "course_uid": "course_b3238962df56ba95554ede07",
          "uid": "instructor_5adf09f95a785596103c4112",
          "name": "Gheorghe Craciun",
          "quality": null,
          "quality_count": null,
          "instructor_url": "/instructors/GHEORGHE_CRACIUN"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": null,
      "reviewFiles": []
    }
  },
  {
    "course_uid": "course_37418528c8b208b186458d37",
    "course_id": "MATH 849",
    "title": "AUTOMORPHIC FORMS",
    "credits_min": 3,
    "credits_max": 3,
    "gpa": 3.759,
    "badges": [
      {
        "id": "lecture-size",
        "label": "Small lectures",
        "tone": "neutral",
        "evidence": "Fall 2026: median 17 enrolled students across 1 recorded lecture section. Small means 30 or fewer; large means 100 or more. Enrollment at scan time, not capacity or typical historical attendance.",
        "sources": [
          {
            "label": "Sections and enrollment",
            "href": "/courses/MATH_849#schedule"
          }
        ]
      }
    ],
    "description": "MATH 849 covers the classical and modern theory of automorphic forms and the representation theory of GL(2).",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          38,
          1,
          2,
          1,
          2,
          0,
          1
        ],
        "count": 45,
        "gpa": 3.7333333333333334,
        "topShare": 86.66666666666667,
        "firstTerm": "1232",
        "lastTerm": "1254"
      },
      "instructors": [
        {
          "course_uid": "course_37418528c8b208b186458d37",
          "uid": "instructor_9d94209ba7f8655f7ca2076f",
          "name": "Tonghai Yang",
          "quality": 3.216826394937414,
          "quality_count": 45,
          "instructor_url": "/instructors/TONGHAI_YANG"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": null,
      "reviewFiles": []
    }
  },
  {
    "course_uid": "course_0bdcc23dbf3f524e67bd0ef6",
    "course_id": "MATH 890",
    "title": "PRE-DISSERTATOR RESEARCH",
    "credits_min": 1,
    "credits_max": 8,
    "gpa": null,
    "badges": [],
    "description": "MATH 890 is a pre-dissertator research course involving reading and research in all areas of mathematics.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          0,
          0,
          0,
          0,
          0,
          0,
          0
        ],
        "count": 0,
        "gpa": null,
        "topShare": null
      },
      "instructors": [
        {
          "course_uid": "course_0bdcc23dbf3f524e67bd0ef6",
          "uid": "instructor_1ff77094c39644d04495ec4e",
          "name": "Alberto Del Pia",
          "quality": 3.756918416818997,
          "quality_count": 8,
          "instructor_url": "/instructors/ALBERTO_DEL_PIA"
        },
        {
          "course_uid": "course_0bdcc23dbf3f524e67bd0ef6",
          "uid": "instructor_504a40032538376afa9c2473",
          "name": "Sebastien Roch",
          "quality": 3.1610536147166224,
          "quality_count": 12,
          "instructor_url": "/instructors/SEBASTIEN_ROCH"
        },
        {
          "course_uid": "course_0bdcc23dbf3f524e67bd0ef6",
          "uid": "instructor_6e251d73f72e8960c92dff3f",
          "name": "Jose Rodriguez",
          "quality": 2.432294263745252,
          "quality_count": 47,
          "instructor_url": "/instructors/JOSE_RODRIGUEZ"
        },
        {
          "course_uid": "course_0bdcc23dbf3f524e67bd0ef6",
          "uid": "instructor_5ae6accdac7142357376e455",
          "name": "Dallas Albritton",
          "quality": null,
          "quality_count": null,
          "instructor_url": "/instructors/DALLAS_ALBRITTON"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": null,
      "reviewFiles": []
    }
  },
  {
    "course_uid": "course_137bc43a05a3e03db9bd93d2",
    "course_id": "MATH 900",
    "title": "GRADUATE TEACHING SEMINAR",
    "credits_min": 1,
    "credits_max": 1,
    "gpa": 4,
    "badges": [
      {
        "id": "rated-teacher",
        "label": "Highly rated instructor",
        "tone": "positive",
        "evidence": "Fall 2026: Cassie Williams (4.30/5 adjusted; 54 ratings). At least one assigned instructor qualifies. This describes instructor reviews across courses, not a course rating.",
        "sources": [
          {
            "label": "Cassie Williams",
            "href": "/instructors/CASSIE_WILLIAMS"
          }
        ]
      }
    ],
    "description": "MATH 900 is a Graduate Teaching Seminar focusing on theory and practical skills for teaching mathematics at the graduate or post-secondary level.",
    "discovery": {
      "term": "1272",
      "offered": true,
      "history": {
        "counts": [
          111,
          0,
          0,
          0,
          0,
          0,
          0
        ],
        "count": 111,
        "gpa": 4,
        "topShare": 100,
        "firstTerm": "1232",
        "lastTerm": "1262"
      },
      "instructors": [
        {
          "course_uid": "course_137bc43a05a3e03db9bd93d2",
          "uid": "instructor_1ed287cac93977143496579e",
          "name": "Cassie Williams",
          "quality": 4.302077238796377,
          "quality_count": 54,
          "instructor_url": "/instructors/CASSIE_WILLIAMS"
        }
      ],
      "instructorHistory": null,
      "courseComparison": null,
      "claim": null,
      "reviewFiles": []
    }
  }
]
```

### total

4402

### page

95

### kind

course

### q



### term

1272

### availability

offered

### filters

#### page

95

## discovery Filtered

true
