# MATH 725: A Second Course in Real Analysis | UW–Madison

[View on UW Courses](https://uwcourses.com/courses/MATH_725)

## 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

10846d3cc60f239f0f26cced5fd36b17f42fc48e30e8dd6b918b1d6f4b538b39

### course id

MATH 725

### course uid

course\_d5519f57ac7e657b6d2a0c6e

### catalog version id

00d1e6e46d7b1774267f3688caba28fb1be132b164e37e2491ea789962da2450

### course number

725

### subjects

* MATH

### title

A SECOND COURSE IN REAL ANALYSIS

### description

Continuation ofMATH 721. An introduction to further topics in real analysis: Banach spaces, Fourier transforms, elements of distribution theory, and applications.

### requirements text

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

3a65a452546d5d6ba5b12c8e8b985a4edcaa131d00d83861bef3f16ac44648ac

### llm model

nvidia/Qwen3.6-35B-A3B-NVFP4

### llm model revision

1355db6a052410cfd62085d94b58866fd0f2c3c5

### llm task version

14

### llm search status

valid

### llm summary

A graduate course continuing real analysis to cover Banach spaces, Fourier transforms, and distribution theory.

### llm topics

* Banach spaces
* Fourier transforms
* Distribution theory

### llm skills

* Understanding Banach spaces and Fourier transforms
* Applying distribution theory

### llm assumed background

* Undergraduate analysis background

### llm search phrases

* real analysis graduate course
* Banach spaces Fourier transforms
* MATH 725 prerequisites

### llm requirements status

needs\_review

### llm student summary status

valid

### llm experience status

insufficient\_evidence

### catalog variants

None recorded.

### student summary

#### context hash

3ddb14cbf30f770995920e9485bd467bd97f9908724973ce63d3299cdda45bd2

#### course id

MATH 725

#### current instructors

None recorded.

#### difficulty workload

Historical reviews of Serguei Denissov: The course is described as intense, with a difficulty rating of 3, suggesting significant challenge and pressure.

```json
{
  "citations": [
    {
      "instructor_name": "Serguei Denissov",
      "review_date": "2016-06-20 17:04:24 +0000 UTC",
      "review_id": "c30235962d201d66fd2f7996",
      "run_id": "20260907T155543-ce3781c4",
      "source_instructor_id": "rmp:607852",
      "source_review_id": "UmF0aW5nLTI2NzQyMDA4",
      "source_url": "https://www.ratemyprofessors.com/professor/607852",
      "type": "review"
    }
  ]
}
```

#### errors

None recorded.

#### historical context

Historical reviews of Serguei Denissov: Serguei Denissov is described as a fantastic professor for analysts or those considering the field. One review notes that the course is intense, advising students who cannot handle the pressure to drop the class.

```json
{
  "citations": [
    {
      "instructor_name": "Serguei Denissov",
      "review_date": "2016-06-20 17:04:24 +0000 UTC",
      "review_id": "c30235962d201d66fd2f7996",
      "run_id": "20260907T155543-ce3781c4",
      "source_instructor_id": "rmp:607852",
      "source_review_id": "UmF0aW5nLTI2NzQyMDA4",
      "source_url": "https://www.ratemyprofessors.com/professor/607852",
      "type": "review"
    }
  ]
}
```

#### offered

false

#### profile hash

e59ddc7389015d0035b68cd195c939d475bf72b959b29cf12eab59b454ccaef1

#### quick take

Historical reviews of Serguei Denissov: Serguei Denissov is highly recommended for analysts, though the course is intense and unsuitable for those unable to handle the pressure.

```json
{
  "citations": [
    {
      "instructor_name": "Serguei Denissov",
      "review_date": "2016-06-20 17:04:24 +0000 UTC",
      "review_id": "c30235962d201d66fd2f7996",
      "run_id": "20260907T155543-ce3781c4",
      "source_instructor_id": "rmp:607852",
      "source_review_id": "UmF0aW5nLTI2NzQyMDA4",
      "source_url": "https://www.ratemyprofessors.com/professor/607852",
      "type": "review"
    }
  ]
}
```

Recent recorded grades — Spring 2024: 3.95 GPA, 100.0% A/AB (n=22 letter grades); Spring 2025: 3.47 GPA, 61.1% A/AB (n=18 letter grades); Spring 2026: 3.47 GPA, 66.7% A/AB (n=18 letter grades).

```json
{
  "citations": [
    {
      "course_id": "MATH 725",
      "run_id": "20260907T155543-ce3781c4",
      "source_record": {
        "entity_id": "b8ffe0ef-91d3-3d9c-9f42-69351249ee12",
        "file": "tables/observations.parquet",
        "kind": "grades",
        "source": "madgrades"
      },
      "table": "grades_latest",
      "term_id": "1244",
      "type": "grade"
    },
    {
      "course_id": "MATH 725",
      "run_id": "20260907T155543-ce3781c4",
      "source_record": {
        "entity_id": "b8ffe0ef-91d3-3d9c-9f42-69351249ee12",
        "file": "tables/observations.parquet",
        "kind": "grades",
        "source": "madgrades"
      },
      "table": "grades_latest",
      "term_id": "1254",
      "type": "grade"
    },
    {
      "course_id": "MATH 725",
      "run_id": "20260907T155543-ce3781c4",
      "source_record": {
        "entity_id": "b8ffe0ef-91d3-3d9c-9f42-69351249ee12",
        "file": "tables/observations.parquet",
        "kind": "grades",
        "source": "madgrades"
      },
      "table": "grades_latest",
      "term_id": "1264",
      "type": "grade"
    }
  ]
}
```

#### student experience

Historical reviews of Serguei Denissov: The professor is considered fantastic for those interested in analysis, but the environment is harsh for those who cannot handle the heat.

```json
{
  "citations": [
    {
      "instructor_name": "Serguei Denissov",
      "review_date": "2016-06-20 17:04:24 +0000 UTC",
      "review_id": "c30235962d201d66fd2f7996",
      "run_id": "20260907T155543-ce3781c4",
      "source_instructor_id": "rmp:607852",
      "source_review_id": "UmF0aW5nLTI2NzQyMDA4",
      "source_url": "https://www.ratemyprofessors.com/professor/607852",
      "type": "review"
    }
  ]
}
```

#### task hash

74fb0997943e888960bbc9e47db8c4fd12e4292d55c20509d8d89db6a9910f68

#### teaching history

SERGUEI DENISSOV is recorded teaching in Spring 2010, Spring 2011, Spring 2013, Spring 2014, Spring 2023. Recorded history may be incomplete and does not establish a future schedule.

```json
{
  "citations": [
    {
      "course_id": "MATH 725",
      "run_id": "20260907T155543-ce3781c4",
      "section_number": 1,
      "source_course_id": "b8ffe0ef-91d3-3d9c-9f42-69351249ee12",
      "source_record": {
        "entity_id": "b8ffe0ef-91d3-3d9c-9f42-69351249ee12",
        "file": "tables/observations.parquet",
        "kind": "grades",
        "source": "madgrades"
      },
      "table": "section_grades_latest",
      "term_id": "1104",
      "type": "grade"
    },
    {
      "course_id": "MATH 725",
      "run_id": "20260907T155543-ce3781c4",
      "section_number": 1,
      "source_course_id": "b8ffe0ef-91d3-3d9c-9f42-69351249ee12",
      "source_record": {
        "entity_id": "b8ffe0ef-91d3-3d9c-9f42-69351249ee12",
        "file": "tables/observations.parquet",
        "kind": "grades",
        "source": "madgrades"
      },
      "table": "section_grades_latest",
      "term_id": "1114",
      "type": "grade"
    },
    {
      "course_id": "MATH 725",
      "run_id": "20260907T155543-ce3781c4",
      "section_number": 1,
      "source_course_id": "b8ffe0ef-91d3-3d9c-9f42-69351249ee12",
      "source_record": {
        "entity_id": "b8ffe0ef-91d3-3d9c-9f42-69351249ee12",
        "file": "tables/observations.parquet",
        "kind": "grades",
        "source": "madgrades"
      },
      "table": "section_grades_latest",
      "term_id": "1134",
      "type": "grade"
    },
    {
      "course_id": "MATH 725",
      "run_id": "20260907T155543-ce3781c4",
      "section_number": 1,
      "source_course_id": "b8ffe0ef-91d3-3d9c-9f42-69351249ee12",
      "source_record": {
        "entity_id": "b8ffe0ef-91d3-3d9c-9f42-69351249ee12",
        "file": "tables/observations.parquet",
        "kind": "grades",
        "source": "madgrades"
      },
      "table": "section_grades_latest",
      "term_id": "1144",
      "type": "grade"
    },
    {
      "course_id": "MATH 725",
      "run_id": "20260907T155543-ce3781c4",
      "section_number": 1,
      "source_course_id": "b8ffe0ef-91d3-3d9c-9f42-69351249ee12",
      "source_record": {
        "entity_id": "b8ffe0ef-91d3-3d9c-9f42-69351249ee12",
        "file": "tables/observations.parquet",
        "kind": "grades",
        "source": "madgrades"
      },
      "table": "section_grades_latest",
      "term_id": "1234",
      "type": "grade"
    }
  ]
}
```

#### term id

1272

#### term name

2026 Fall

#### version

2

### requirements

#### nodes

```json
[
  {
    "children": [],
    "condition": "Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program",
    "course": null,
    "evidence": "Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program",
    "id": "node_1",
    "kind": "condition"
  }
]
```

#### notes

* The only requirement is the standing/program condition.

#### root

node\_1

#### status

parsed

### instructors

None recorded.

### offerings

None recorded.

### sections

None recorded.

### grade instructors

```json
[
  {
    "instructor_uid": "instructor_58a8789a68e88a9fb71bb464",
    "source": "madgrades",
    "source_instructor_id": "3347208",
    "identity_basis": "source_id",
    "identity_status": "source_identified",
    "name": "ALEXANDRU IONESCU",
    "email": null,
    "first_observed_at": "2026-09-06 23:14:58.172943+00:00",
    "last_observed_at": "2026-09-07 15:55:43.033547+00:00",
    "ratings": {
      "review_count": 7,
      "quality": 2.86,
      "difficulty": 3.71,
      "quality_count": 7,
      "difficulty_count": 7,
      "profile_id": "rmp:290819",
      "source_url": "https://www.ratemyprofessors.com/professor/290819",
      "match_basis": "exact_name",
      "observed_at": "2026-09-07 16:56:47.731316+00:00",
      "courses": {
        "course_1f8e8903c7761a5fe852a4bc": {
          "review_count": 1,
          "quality": 2,
          "difficulty": 3,
          "quality_count": 1,
          "difficulty_count": 1
        },
        "course_6bc496e4640fd08f71e1b041": {
          "review_count": 2,
          "quality": 2.5,
          "difficulty": 4,
          "quality_count": 2,
          "difficulty_count": 2
        },
        "course_ca15df4740b1471d223b790c": {
          "review_count": 1,
          "quality": 4,
          "difficulty": 3,
          "quality_count": 1,
          "difficulty_count": 1
        }
      },
      "bayesian_quality": 3.4523598396641444,
      "prior_mean": 3.6596857835465957,
      "prior_weight": 20
    },
    "grade_statistics": {
      "gpa": 3.143,
      "graded": 270,
      "counts": [
        77,
        41,
        93,
        22,
        29,
        5,
        3
      ],
      "sections": 7
    },
    "instructor_url": "/instructors/ALEXANDRU_IONESCU"
  },
  {
    "instructor_uid": "instructor_7a8fcd1dc53300aa83aa6f2b",
    "source": "madgrades",
    "source_instructor_id": "2600471",
    "identity_basis": "source_id",
    "identity_status": "source_identified",
    "name": "ANDREAS SEEGER",
    "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": 82,
      "quality": 2.72,
      "difficulty": 4.22,
      "quality_count": 82,
      "difficulty_count": 82,
      "profile_id": "rmp:394755",
      "source_url": "https://www.ratemyprofessors.com/professor/394755",
      "match_basis": "exact_name",
      "observed_at": "2026-09-07 16:55:35.597114+00:00",
      "courses": {
        "course_0dd25611eebe714d971b7bfb": {
          "review_count": 15,
          "quality": 2.73,
          "difficulty": 4.4,
          "quality_count": 15,
          "difficulty_count": 15
        },
        "course_4aa5bbed0c86993f5f0dc832": {
          "review_count": 3,
          "quality": 4,
          "difficulty": 4,
          "quality_count": 3,
          "difficulty_count": 3
        },
        "course_bac5b63415c0e4cd6d5c3848": {
          "review_count": 3,
          "quality": 3.33,
          "difficulty": 4.67,
          "quality_count": 3,
          "difficulty_count": 3
        },
        "course_1f8e8903c7761a5fe852a4bc": {
          "review_count": 1,
          "quality": 5,
          "difficulty": 3,
          "quality_count": 1,
          "difficulty_count": 1
        },
        "course_cc1de60e9953cdd9c469e9a5": {
          "review_count": 19,
          "quality": 2.58,
          "difficulty": 3.95,
          "quality_count": 19,
          "difficulty_count": 19
        },
        "course_6bc496e4640fd08f71e1b041": {
          "review_count": 8,
          "quality": 2,
          "difficulty": 4.88,
          "quality_count": 8,
          "difficulty_count": 8
        },
        "course_8634dde81cc95f6c58014087": {
          "review_count": 18,
          "quality": 2.22,
          "difficulty": 4.17,
          "quality_count": 18,
          "difficulty_count": 18
        },
        "course_364c50303ed83d1234b4ea51": {
          "review_count": 2,
          "quality": 5,
          "difficulty": 4,
          "quality_count": 2,
          "difficulty_count": 2
        },
        "course_eec4aae06b946a73f1878be4": {
          "review_count": 1,
          "quality": 2,
          "difficulty": 4,
          "quality_count": 1,
          "difficulty_count": 1
        }
      },
      "bayesian_quality": 2.9042521144209013,
      "prior_mean": 3.6596857835465957,
      "prior_weight": 20
    },
    "grade_statistics": {
      "gpa": 3.283,
      "graded": 1313,
      "counts": [
        588,
        178,
        280,
        96,
        107,
        42,
        22
      ],
      "sections": 74
    },
    "instructor_url": "/instructors/ANDREAS_SEEGER--instructor_7a8fcd1dc53300aa83aa6f2b"
  },
  {
    "instructor_uid": "instructor_3584679bc66cd68602ec043d",
    "source": "madgrades",
    "source_instructor_id": "2602049",
    "identity_basis": "source_id",
    "identity_status": "source_identified",
    "name": "JEAN-PIERRE ROSAY",
    "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": 25,
      "quality": 2.12,
      "difficulty": 4.4,
      "quality_count": 25,
      "difficulty_count": 25,
      "profile_id": "rmp:274596",
      "source_url": "https://www.ratemyprofessors.com/professor/274596",
      "match_basis": "exact_name",
      "observed_at": "2026-09-07 16:33:52.986615+00:00",
      "courses": {
        "course_364c50303ed83d1234b4ea51": {
          "review_count": 1,
          "quality": 5,
          "difficulty": 5,
          "quality_count": 1,
          "difficulty_count": 1
        },
        "course_3c64a84a8de25196b895fe0d": {
          "review_count": 18,
          "quality": 2.11,
          "difficulty": 4.17,
          "quality_count": 18,
          "difficulty_count": 18
        },
        "course_1f8e8903c7761a5fe852a4bc": {
          "review_count": 1,
          "quality": 1,
          "difficulty": 5,
          "quality_count": 1,
          "difficulty_count": 1
        }
      },
      "bayesian_quality": 2.804304792687376,
      "prior_mean": 3.6596857835465957,
      "prior_weight": 20
    },
    "grade_statistics": {
      "gpa": 2.786,
      "graded": 175,
      "counts": [
        46,
        22,
        40,
        19,
        20,
        19,
        9
      ],
      "sections": 12
    },
    "instructor_url": "/instructors/JEAN-PIERRE_ROSAY"
  },
  {
    "instructor_uid": "instructor_e930b3f6ec9d1140d6f286c3",
    "source": "madgrades",
    "source_instructor_id": "3856847",
    "identity_basis": "source_id",
    "identity_status": "source_identified",
    "name": "SERGUEI DENISSOV",
    "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": 78,
      "quality": 2.92,
      "difficulty": 3.53,
      "quality_count": 78,
      "difficulty_count": 78,
      "profile_id": "rmp:607852",
      "source_url": "https://www.ratemyprofessors.com/professor/607852",
      "match_basis": "exact_name",
      "observed_at": "2026-09-07 16:06:22.769845+00:00",
      "courses": {
        "course_364c50303ed83d1234b4ea51": {
          "review_count": 3,
          "quality": 2.67,
          "difficulty": 4.33,
          "quality_count": 3,
          "difficulty_count": 3
        },
        "course_fa53f4954bab469b5d4c4fe3": {
          "review_count": 5,
          "quality": 3.4,
          "difficulty": 3.4,
          "quality_count": 5,
          "difficulty_count": 5
        },
        "course_5d98ff5f6adce2207e394dc6": {
          "review_count": 2,
          "quality": 1.5,
          "difficulty": 5,
          "quality_count": 2,
          "difficulty_count": 2
        },
        "course_8634dde81cc95f6c58014087": {
          "review_count": 11,
          "quality": 2.45,
          "difficulty": 4.27,
          "quality_count": 11,
          "difficulty_count": 11
        },
        "course_1351409acfb0d317ef52fedf": {
          "review_count": 1,
          "quality": 3,
          "difficulty": 4,
          "quality_count": 1,
          "difficulty_count": 1
        },
        "course_d5519f57ac7e657b6d2a0c6e": {
          "review_count": 1,
          "quality": 5,
          "difficulty": 3,
          "quality_count": 1,
          "difficulty_count": 1
        },
        "course_6bc496e4640fd08f71e1b041": {
          "review_count": 19,
          "quality": 3.21,
          "difficulty": 2.68,
          "quality_count": 19,
          "difficulty_count": 19
        },
        "course_cc1de60e9953cdd9c469e9a5": {
          "review_count": 8,
          "quality": 2.75,
          "difficulty": 3.88,
          "quality_count": 8,
          "difficulty_count": 8
        },
        "course_6a5fd6b22fd05d58426ea680": {
          "review_count": 1,
          "quality": 5,
          "difficulty": 2,
          "quality_count": 1,
          "difficulty_count": 1
        },
        "course_9a1a7bf1933981bcbaca47ac": {
          "review_count": 3,
          "quality": 2,
          "difficulty": 3,
          "quality_count": 3,
          "difficulty_count": 3
        },
        "course_9b0dc1865ea603eb0083bc33": {
          "review_count": 3,
          "quality": 3.33,
          "difficulty": 3,
          "quality_count": 3,
          "difficulty_count": 3
        },
        "course_7e12e6bf6be7a81f7ca74420": {
          "review_count": 1,
          "quality": 4,
          "difficulty": 2,
          "quality_count": 1,
          "difficulty_count": 1
        }
      },
      "bayesian_quality": 3.070956282356448,
      "prior_mean": 3.6596857835465957,
      "prior_weight": 20
    },
    "grade_statistics": {
      "gpa": 3.029,
      "graded": 2232,
      "counts": [
        538,
        326,
        698,
        323,
        259,
        49,
        39
      ],
      "sections": 54
    },
    "instructor_url": "/instructors/SERGUEI_DENISSOV--instructor_e930b3f6ec9d1140d6f286c3"
  },
  {
    "instructor_uid": "instructor_7aadb2ffbe71ace8f656f8f6",
    "source": "madgrades",
    "source_instructor_id": "3573775",
    "identity_basis": "source_id",
    "identity_status": "source_identified",
    "name": "ALEXANDER KISELEV",
    "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": 44,
      "quality": 3.98,
      "difficulty": 3.59,
      "quality_count": 44,
      "difficulty_count": 44,
      "profile_id": "rmp:890956",
      "source_url": "https://www.ratemyprofessors.com/professor/890956",
      "match_basis": "exact_name",
      "observed_at": "2026-09-07 16:56:57.594978+00:00",
      "courses": {
        "course_cc1de60e9953cdd9c469e9a5": {
          "review_count": 24,
          "quality": 4.17,
          "difficulty": 3.29,
          "quality_count": 24,
          "difficulty_count": 24
        },
        "course_dcdb624e3fb8cbaf9a557ab9": {
          "review_count": 2,
          "quality": 2.5,
          "difficulty": 4.5,
          "quality_count": 2,
          "difficulty_count": 2
        },
        "course_364c50303ed83d1234b4ea51": {
          "review_count": 2,
          "quality": 5,
          "difficulty": 3.5,
          "quality_count": 2,
          "difficulty_count": 2
        }
      },
      "bayesian_quality": 3.879901807358311,
      "prior_mean": 3.6596857835465957,
      "prior_weight": 20
    },
    "grade_statistics": {
      "gpa": 2.718,
      "graded": 1194,
      "counts": [
        303,
        74,
        300,
        68,
        313,
        78,
        58
      ],
      "sections": 21
    },
    "instructor_url": "/instructors/ALEXANDER_KISELEV--instructor_7aadb2ffbe71ace8f656f8f6"
  },
  {
    "instructor_uid": "instructor_f3eee5c71b9825c49d9eb0c0",
    "source": "madgrades",
    "source_instructor_id": "3631895",
    "identity_basis": "source_id",
    "identity_status": "source_identified",
    "name": "LINDSAY STOVALL",
    "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": 3.296,
      "graded": 1555,
      "counts": [
        763,
        129,
        338,
        78,
        181,
        51,
        15
      ],
      "sections": 55
    },
    "instructor_url": "/instructors/LINDSAY_STOVALL--instructor_f3eee5c71b9825c49d9eb0c0"
  },
  {
    "instructor_uid": "instructor_8779cbf2cbe1e0b379b7d322",
    "source": "madgrades",
    "source_instructor_id": "4148279",
    "identity_basis": "source_id",
    "identity_status": "source_identified",
    "name": "SIMON MARSHALL",
    "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": 50,
      "quality": 2.5,
      "difficulty": 3.78,
      "quality_count": 50,
      "difficulty_count": 50,
      "profile_id": "rmp:1972415",
      "source_url": "https://www.ratemyprofessors.com/professor/1972415",
      "match_basis": "exact_name",
      "observed_at": "2026-09-07 16:05:30.349155+00:00",
      "courses": {
        "course_364c50303ed83d1234b4ea51": {
          "review_count": 18,
          "quality": 2.22,
          "difficulty": 4.39,
          "quality_count": 18,
          "difficulty_count": 18
        },
        "course_4aa5bbed0c86993f5f0dc832": {
          "review_count": 4,
          "quality": 3.25,
          "difficulty": 2.5,
          "quality_count": 4,
          "difficulty_count": 4
        },
        "course_fa53f4954bab469b5d4c4fe3": {
          "review_count": 1,
          "quality": 5,
          "difficulty": 4,
          "quality_count": 1,
          "difficulty_count": 1
        },
        "course_cc1de60e9953cdd9c469e9a5": {
          "review_count": 21,
          "quality": 2.29,
          "difficulty": 3.57,
          "quality_count": 21,
          "difficulty_count": 21
        },
        "course_6bc496e4640fd08f71e1b041": {
          "review_count": 3,
          "quality": 2.33,
          "difficulty": 4,
          "quality_count": 3,
          "difficulty_count": 3
        }
      },
      "bayesian_quality": 2.831338795299027,
      "prior_mean": 3.6596857835465957,
      "prior_weight": 20
    },
    "grade_statistics": {
      "gpa": 3.066,
      "graded": 1448,
      "counts": [
        534,
        203,
        286,
        127,
        168,
        81,
        49
      ],
      "sections": 29
    },
    "instructor_url": "/instructors/SIMON_MARSHALL--instructor_8779cbf2cbe1e0b379b7d322"
  },
  {
    "instructor_uid": "instructor_7d24ffb9e92a280f073bd9d1",
    "source": "madgrades",
    "source_instructor_id": "6242488",
    "identity_basis": "source_id",
    "identity_status": "source_identified",
    "name": "ALEXEI POLTORATSKI",
    "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": 3.236,
      "graded": 571,
      "counts": [
        240,
        56,
        159,
        21,
        73,
        16,
        6
      ],
      "sections": 23
    },
    "instructor_url": "/instructors/ALEXEI_POLTORATSKI--instructor_7d24ffb9e92a280f073bd9d1"
  },
  {
    "instructor_uid": "instructor_c0289d403f78c76ec800e7ea",
    "source": "madgrades",
    "source_instructor_id": "3619363",
    "identity_basis": "source_id",
    "identity_status": "source_identified",
    "name": "BRIAN STREET",
    "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": 112,
      "quality": 4.13,
      "difficulty": 3.21,
      "quality_count": 112,
      "difficulty_count": 112,
      "profile_id": "rmp:1574143",
      "source_url": "https://www.ratemyprofessors.com/professor/1574143",
      "match_basis": "exact_name",
      "observed_at": "2026-09-07 16:51:04.942102+00:00",
      "courses": {
        "course_8634dde81cc95f6c58014087": {
          "review_count": 43,
          "quality": 3.98,
          "difficulty": 3.51,
          "quality_count": 43,
          "difficulty_count": 43
        },
        "course_cc1de60e9953cdd9c469e9a5": {
          "review_count": 50,
          "quality": 4.36,
          "difficulty": 3.02,
          "quality_count": 50,
          "difficulty_count": 50
        },
        "course_be7b0773bc9d040384a6a3ce": {
          "review_count": 2,
          "quality": 4.5,
          "difficulty": 4,
          "quality_count": 2,
          "difficulty_count": 2
        },
        "course_bac5b63415c0e4cd6d5c3848": {
          "review_count": 1,
          "quality": 3,
          "difficulty": 3,
          "quality_count": 1,
          "difficulty_count": 1
        }
      },
      "bayesian_quality": 4.058740270234333,
      "prior_mean": 3.6596857835465957,
      "prior_weight": 20
    },
    "grade_statistics": {
      "gpa": 3.255,
      "graded": 3556,
      "counts": [
        1730,
        355,
        688,
        206,
        333,
        169,
        75
      ],
      "sections": 45
    },
    "instructor_url": "/instructors/BRIAN_STREET--instructor_c0289d403f78c76ec800e7ea"
  }
]
```

### grades

```json
[
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 725",
    "course_uid": "course_d5519f57ac7e657b6d2a0c6e",
    "term_id": "1074",
    "term_name": "Spring 2007",
    "instructors": [
      "ALEXANDRU IONESCU"
    ],
    "a": 8,
    "ab": 2,
    "b": 2,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 12,
    "source_aliases": [
      "MATH 725"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 725",
    "course_uid": "course_d5519f57ac7e657b6d2a0c6e",
    "term_id": "1084",
    "term_name": "Spring 2008",
    "instructors": [
      "Andreas Seeger"
    ],
    "a": 13,
    "ab": 0,
    "b": 0,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 1,
    "total": 14,
    "source_aliases": [
      "MATH 725"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 725",
    "course_uid": "course_d5519f57ac7e657b6d2a0c6e",
    "term_id": "1094",
    "term_name": "Spring 2009",
    "instructors": [
      "JEAN-PIERRE ROSAY"
    ],
    "a": 3,
    "ab": 1,
    "b": 2,
    "bc": 1,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 7,
    "source_aliases": [
      "MATH 725"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 725",
    "course_uid": "course_d5519f57ac7e657b6d2a0c6e",
    "term_id": "1104",
    "term_name": "Spring 2010",
    "instructors": [
      "SERGUEI DENISSOV"
    ],
    "a": 7,
    "ab": 2,
    "b": 3,
    "bc": 0,
    "c": 1,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 13,
    "source_aliases": [
      "MATH 725"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 725",
    "course_uid": "course_d5519f57ac7e657b6d2a0c6e",
    "term_id": "1114",
    "term_name": "Spring 2011",
    "instructors": [
      "SERGUEI DENISSOV"
    ],
    "a": 5,
    "ab": 0,
    "b": 4,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 9,
    "source_aliases": [
      "MATH 725"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 725",
    "course_uid": "course_d5519f57ac7e657b6d2a0c6e",
    "term_id": "1124",
    "term_name": "Spring 2012",
    "instructors": [
      "ALEXANDER KISELEV"
    ],
    "a": 6,
    "ab": 2,
    "b": 3,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 1,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 12,
    "source_aliases": [
      "MATH 725"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 725",
    "course_uid": "course_d5519f57ac7e657b6d2a0c6e",
    "term_id": "1134",
    "term_name": "Spring 2013",
    "instructors": [
      "SERGUEI DENISSOV"
    ],
    "a": 7,
    "ab": 4,
    "b": 2,
    "bc": 2,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 1,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 16,
    "source_aliases": [
      "MATH 725"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 725",
    "course_uid": "course_d5519f57ac7e657b6d2a0c6e",
    "term_id": "1144",
    "term_name": "Spring 2014",
    "instructors": [
      "SERGUEI DENISSOV"
    ],
    "a": 7,
    "ab": 0,
    "b": 3,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 10,
    "source_aliases": [
      "MATH 725"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 725",
    "course_uid": "course_d5519f57ac7e657b6d2a0c6e",
    "term_id": "1154",
    "term_name": "Spring 2015",
    "instructors": [
      "Andreas Seeger"
    ],
    "a": 10,
    "ab": 4,
    "b": 6,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 1,
    "satisfactory": 2,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 1,
    "total": 24,
    "source_aliases": [
      "MATH 725"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 725",
    "course_uid": "course_d5519f57ac7e657b6d2a0c6e",
    "term_id": "1164",
    "term_name": "Spring 2016",
    "instructors": [
      "LINDSAY STOVALL"
    ],
    "a": 11,
    "ab": 0,
    "b": 7,
    "bc": 3,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 1,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 22,
    "source_aliases": [
      "MATH 725"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 725",
    "course_uid": "course_d5519f57ac7e657b6d2a0c6e",
    "term_id": "1174",
    "term_name": "Spring 2017",
    "instructors": [
      "Andreas Seeger"
    ],
    "a": 22,
    "ab": 2,
    "b": 3,
    "bc": 1,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 1,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 29,
    "source_aliases": [
      "MATH 725"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 725",
    "course_uid": "course_d5519f57ac7e657b6d2a0c6e",
    "term_id": "1184",
    "term_name": "Spring 2018",
    "instructors": [
      "LINDSAY STOVALL"
    ],
    "a": 10,
    "ab": 2,
    "b": 4,
    "bc": 1,
    "c": 1,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 18,
    "source_aliases": [
      "MATH 725"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 725",
    "course_uid": "course_d5519f57ac7e657b6d2a0c6e",
    "term_id": "1194",
    "term_name": "Spring 2019",
    "instructors": [
      "SIMON MARSHALL"
    ],
    "a": 13,
    "ab": 1,
    "b": 1,
    "bc": 1,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 1,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 17,
    "source_aliases": [
      "MATH 725"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 725",
    "course_uid": "course_d5519f57ac7e657b6d2a0c6e",
    "term_id": "1204",
    "term_name": "Spring 2020",
    "instructors": [
      "Alexei Poltoratski"
    ],
    "a": 11,
    "ab": 0,
    "b": 1,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 2,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 14,
    "source_aliases": [
      "MATH 725"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 725",
    "course_uid": "course_d5519f57ac7e657b6d2a0c6e",
    "term_id": "1224",
    "term_name": "Spring 2022",
    "instructors": [
      "SIMON MARSHALL"
    ],
    "a": 23,
    "ab": 0,
    "b": 1,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 24,
    "source_aliases": [
      "MATH 725"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 725",
    "course_uid": "course_d5519f57ac7e657b6d2a0c6e",
    "term_id": "1234",
    "term_name": "Spring 2023",
    "instructors": [
      "SERGUEI DENISSOV"
    ],
    "a": 15,
    "ab": 3,
    "b": 0,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 18,
    "source_aliases": [
      "MATH 725"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 725",
    "course_uid": "course_d5519f57ac7e657b6d2a0c6e",
    "term_id": "1244",
    "term_name": "Spring 2024",
    "instructors": [
      "Brian Street"
    ],
    "a": 20,
    "ab": 2,
    "b": 0,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "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 725"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 725",
    "course_uid": "course_d5519f57ac7e657b6d2a0c6e",
    "term_id": "1254",
    "term_name": "Spring 2025",
    "instructors": [
      "Andreas Seeger"
    ],
    "a": 6,
    "ab": 5,
    "b": 7,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 18,
    "source_aliases": [
      "MATH 725"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 725",
    "course_uid": "course_d5519f57ac7e657b6d2a0c6e",
    "term_id": "1264",
    "term_name": "Spring 2026",
    "instructors": [
      "Andreas Seeger"
    ],
    "a": 7,
    "ab": 5,
    "b": 5,
    "bc": 0,
    "c": 1,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 3,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 21,
    "source_aliases": [
      "MATH 725"
    ]
  }
]
```

### statistics

#### gpa

3.69

#### graded

306

#### counts

* 204
* 35
* 54
* 9
* 3
* 0
* 1

### grade conflicts

None recorded.

### evidence

#### history

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course\_d5519f57ac7e657b6d2a0c6e-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_d5519f57ac7e657b6d2a0c6e-0.json)

#### traces

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_d5519f57ac7e657b6d2a0c6e-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_d5519f57ac7e657b6d2a0c6e-0.json)

#### reviews

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course\_d5519f57ac7e657b6d2a0c6e-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_d5519f57ac7e657b6d2a0c6e-0.json)

#### results

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_d5519f57ac7e657b6d2a0c6e-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_d5519f57ac7e657b6d2a0c6e-0.json)

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

## context

### all

#### term



#### gpa

3.689542483660131

#### count

306

#### university

##### size

4298

##### gpa Percentile

46

##### count Percentile

66

##### median Count

170

##### histogram

| range   | count | current |
| ------- | ----- | ------- |
| 0.0–0.4 | 0     | false   |
| 0.4–0.8 | 0     | false   |
| 0.8–1.2 | 0     | false   |
| 1.2–1.6 | 0     | false   |
| 1.6–2.0 | 0     | false   |
| 2.0–2.4 | 0     | false   |
| 2.4–2.8 | 12    | false   |
| 2.8–3.2 | 316   | false   |
| 3.2–3.6 | 1235  | false   |
| 3.6–4.0 | 2735  | true    |

#### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 104,
      "gpaPercentile": 57,
      "countPercentile": 58,
      "medianCount": 218.5,
      "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": 27,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 22,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 49,
          "current": true
        }
      ]
    }
  }
]
```

### terms

#### 1074

##### term

1074

##### gpa

3.75

##### count

12

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1084

##### term

1084

##### gpa

4

##### count

13

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1094

##### term

1094

##### gpa

3.4285714285714284

##### count

7

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1104

##### term

1104

##### gpa

3.5384615384615383

##### count

13

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1114

##### term

1114

##### gpa

3.5555555555555554

##### count

9

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1124

##### term

1124

##### gpa

3.6363636363636362

##### count

11

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1134

##### term

1134

##### gpa

3.533333333333333

##### count

15

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1144

##### term

1144

##### gpa

3.7

##### count

10

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1154

##### term

1154

##### gpa

3.4285714285714284

##### count

21

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1164

##### term

1164

##### gpa

3.4523809523809526

##### count

21

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1174

##### term

1174

##### gpa

3.8035714285714284

##### count

28

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1184

##### term

1184

##### gpa

3.5277777777777777

##### count

18

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1194

##### term

1194

##### gpa

3.8125

##### count

16

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1204

##### term

1204

##### gpa

3.9166666666666665

##### count

12

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1224

##### term

1224

##### gpa

3.9583333333333335

##### count

24

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1234

##### term

1234

##### gpa

3.9166666666666665

##### count

18

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1244

##### term

1244

##### gpa

3.9545454545454546

##### count

22

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1254

##### term

1254

##### gpa

3.4722222222222223

##### count

18

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

#### 1264

##### term

1264

##### gpa

3.4722222222222223

##### count

18

##### departments

| subject | comparison |
| ------- | ---------- |
| MATH    |            |

### benchmarks

#### all

##### school

###### size

4298

###### gpa

3.6599169512129595

###### top Share

81.92066096643725

###### count

170

##### MATH

###### size

104

###### gpa

3.489755928725373

###### top Share

72.34164691083211

###### count

218.5

#### terms

##### 1074

###### school

###### size

695

###### gpa

3.3616924722887376

###### top Share

63.22509110105764

###### count

69

###### MATH

###### size

17

###### gpa

2.821339129045922

###### top Share

38.66654769268061

###### count

133

##### 1084

###### school

###### size

720

###### gpa

3.3670742938849725

###### top Share

63.42064564712246

###### count

70

###### MATH

###### size

22

###### gpa

2.977459424628873

###### top Share

44.52710820759676

###### count

88.5

##### 1094

###### school

###### size

758

###### gpa

3.3891454428111527

###### top Share

64.36369814389255

###### count

71

###### MATH

###### size

19

###### gpa

2.861322177541941

###### top Share

40.26350030907326

###### count

108

##### 1104

###### school

###### size

793

###### gpa

3.384661458923085

###### top Share

64.6614752434143

###### count

66

###### MATH

###### size

23

###### gpa

2.9531575824731964

###### top Share

43.549837152646596

###### count

98

##### 1114

###### school

###### size

804

###### gpa

3.3696004653806844

###### top Share

64.0389334741844

###### count

68

###### MATH

###### size

26

###### gpa

2.9090822348911582

###### top Share

41.14706210117883

###### count

83.5

##### 1124

###### school

###### size

821

###### gpa

3.406589342026613

###### top Share

66.35774230127205

###### count

67

###### MATH

###### size

28

###### gpa

2.9109864595893504

###### top Share

42.40580272314707

###### count

75

##### 1134

###### school

###### size

852

###### gpa

3.4138934207568203

###### top Share

66.35946578182744

###### count

66

###### MATH

###### size

26

###### gpa

2.938004331770204

###### top Share

42.318323348030226

###### count

83.5

##### 1144

###### school

###### size

878

###### gpa

3.4092443327803017

###### top Share

65.95978235963416

###### count

64

###### MATH

###### size

30

###### gpa

2.926152797086596

###### top Share

42.17363619414386

###### count

79

##### 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

3.133406260873163

###### top Share

53.17595010634325

###### count

71.5

##### 1204

###### school

###### size

1012

###### gpa

3.703747431523761

###### top Share

84.59811226304916

###### count

65.5

###### MATH

###### size

29

###### gpa

3.478717830475146

###### top Share

69.61236805388549

###### count

83

##### 1224

###### school

###### size

1171

###### gpa

3.5627882428500937

###### top Share

76.37271640560496

###### count

64

###### MATH

###### size

34

###### gpa

3.1555898753466907

###### top Share

53.444319815085976

###### count

87.5

##### 1234

###### school

###### size

1188

###### gpa

3.5799441677552393

###### top Share

77.18256448537606

###### count

65

###### MATH

###### size

41

###### gpa

3.178489266862151

###### top Share

56.06874885619616

###### count

67

##### 1244

###### school

###### size

1241

###### gpa

3.5975573126929192

###### top Share

78.29036874847135

###### count

65

###### MATH

###### size

43

###### gpa

3.228240949537157

###### top Share

55.86451059486035

###### count

68

##### 1254

###### school

###### size

1289

###### gpa

3.6126423469389106

###### top Share

79.48050408754871

###### count

66

###### MATH

###### size

39

###### gpa

3.180435541912479

###### top Share

53.878371816747475

###### count

89

##### 1264

###### school

###### size

1283

###### gpa

3.6229729166451925

###### top Share

80.13669149396227

###### count

66

###### MATH

###### size

42

###### gpa

3.13598176627681

###### top Share

52.25969905887213

###### count

80

## instructor Trends

```json
[
  {
    "uid": "instructor_7a8fcd1dc53300aa83aa6f2b",
    "name": "ANDREAS SEEGER",
    "count": 98,
    "terms": [
      {
        "term": "1084",
        "count": 13,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1154",
        "count": 21,
        "sections": 1,
        "gpa": 3.4285714285714284
      },
      {
        "term": "1174",
        "count": 28,
        "sections": 1,
        "gpa": 3.8035714285714284
      },
      {
        "term": "1254",
        "count": 18,
        "sections": 1,
        "gpa": 3.4722222222222223
      },
      {
        "term": "1264",
        "count": 18,
        "sections": 1,
        "gpa": 3.4722222222222223
      }
    ]
  },
  {
    "uid": "instructor_e930b3f6ec9d1140d6f286c3",
    "name": "SERGUEI DENISSOV",
    "count": 65,
    "terms": [
      {
        "term": "1104",
        "count": 13,
        "sections": 1,
        "gpa": 3.5384615384615383
      },
      {
        "term": "1114",
        "count": 9,
        "sections": 1,
        "gpa": 3.5555555555555554
      },
      {
        "term": "1134",
        "count": 15,
        "sections": 1,
        "gpa": 3.533333333333333
      },
      {
        "term": "1144",
        "count": 10,
        "sections": 1,
        "gpa": 3.7
      },
      {
        "term": "1234",
        "count": 18,
        "sections": 1,
        "gpa": 3.9166666666666665
      }
    ]
  },
  {
    "uid": "instructor_8779cbf2cbe1e0b379b7d322",
    "name": "SIMON MARSHALL",
    "count": 40,
    "terms": [
      {
        "term": "1194",
        "count": 16,
        "sections": 1,
        "gpa": 3.8125
      },
      {
        "term": "1224",
        "count": 24,
        "sections": 1,
        "gpa": 3.9583333333333335
      }
    ]
  },
  {
    "uid": "instructor_f3eee5c71b9825c49d9eb0c0",
    "name": "LINDSAY STOVALL",
    "count": 39,
    "terms": [
      {
        "term": "1164",
        "count": 21,
        "sections": 1,
        "gpa": 3.4523809523809526
      },
      {
        "term": "1184",
        "count": 18,
        "sections": 1,
        "gpa": 3.5277777777777777
      }
    ]
  },
  {
    "uid": "instructor_c0289d403f78c76ec800e7ea",
    "name": "BRIAN STREET",
    "count": 22,
    "terms": [
      {
        "term": "1244",
        "count": 22,
        "sections": 1,
        "gpa": 3.9545454545454546
      }
    ]
  },
  {
    "uid": "instructor_58a8789a68e88a9fb71bb464",
    "name": "ALEXANDRU IONESCU",
    "count": 12,
    "terms": [
      {
        "term": "1074",
        "count": 12,
        "sections": 1,
        "gpa": 3.75
      }
    ]
  },
  {
    "uid": "instructor_7d24ffb9e92a280f073bd9d1",
    "name": "ALEXEI POLTORATSKI",
    "count": 12,
    "terms": [
      {
        "term": "1204",
        "count": 12,
        "sections": 1,
        "gpa": 3.9166666666666665
      }
    ]
  },
  {
    "uid": "instructor_7aadb2ffbe71ace8f656f8f6",
    "name": "ALEXANDER KISELEV",
    "count": 11,
    "terms": [
      {
        "term": "1124",
        "count": 11,
        "sections": 1,
        "gpa": 3.6363636363636362
      }
    ]
  },
  {
    "uid": "instructor_3584679bc66cd68602ec043d",
    "name": "JEAN-PIERRE ROSAY",
    "count": 7,
    "terms": [
      {
        "term": "1094",
        "count": 7,
        "sections": 1,
        "gpa": 3.4285714285714284
      }
    ]
  }
]
```

## following

None recorded.
