# MATH 467: Introduction to Number Theory | UW–Madison

[View on UW Courses](https://uwcourses.com/courses/MATH_467)

## Dataset

### revision

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### repository

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### built at

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8951

### current instructors

5754

### limited

false

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### term

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## course

### run id

20260907T155543-ce3781c4

### semester

1272

### observed at

2026-09-07 15:55:43.033547+00:00

### record version id

cf2f2c00799d54f32f994e94068a5aaa012037af629193b94273b420da6bd193

### course id

MATH 467

### course uid

course\_e7b7ff33c37b147a17b2d14d

### catalog version id

f74e69a7e6d66e898cd60fc5bf1f591eea5dbfa6f206d5ecb1f0aee048ab24c8

### course number

467

### subjects

* MATH

### title

INTRODUCTION TO NUMBER THEORY

### description

An introduction to proof writing techniques through a study of classical topics in elementary number theory. Topics include the divisibility, basic properties of primes, congruences, Fermat's theorem.

### requirements text

MATH 234,320,340,345,375, or (MATH 222andCOMP SCI/​MATH  240)

### credits min

3

### credits max

3

### credit offering ids

* 1272:600:025252

### llm job id

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### llm output id

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### llm model

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

### llm model revision

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### llm task version

14

### llm search status

valid

### llm summary

MATH 467 introduces proof writing techniques through classical topics in elementary number theory.

### llm topics

* Divisibility and prime properties
* Congruences
* Fermat's theorem

### llm skills

* Proof writing techniques
* Elementary number theory concepts

### llm assumed background

* Calculus sequence completion (MATH 222) is required for most listed prerequisites.
* Discrete mathematics and proof foundations (MATH 240) are an alternative prerequisite path.

### llm search phrases

* number theory proof writing
* elementary number theory course
* MATH 467 prerequisites
* discrete math to number theory

### llm requirements status

valid

### llm student summary status

valid

### llm experience status

valid

### catalog variants

None recorded.

### student summary

#### context hash

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#### course id

MATH 467

#### current instructors

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    "message": null,
    "name": "Mikhail Ivanov",
    "review_status": "supported",
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    "summary": [
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            "instructor_name": "Mikhail Ivanov",
            "review_date": "2023-12-13 02:19:34 +0000 UTC",
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            "type": "review"
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        ],
        "text": "Mikhail Ivanov is described as an excellent professor who makes material clear and follows the textbook's pacing. Reviewers note his clarity during office hours, though one suggests negative perceptions may stem from students encountering difficult math for the first time."
      },
      {
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        "text": "Recent recorded grades — Fall 2023: 3.17 GPA, 51.5% A/AB (n=33 letter grades)."
      }
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]
```

#### difficulty workload

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.

```json
{
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    {
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      "review_date": "2023-12-13 02:19:34 +0000 UTC",
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```

#### errors

None recorded.

#### historical context

Historical reviews of Botong Wang: Mikhail Ivanov is the current instructor, but reviews for Botong Wang highlight his ability to break down advanced concepts and motivate them with examples, making understanding easier. Wang's lectures are engaging and homework prepares students for straightforward exams, though one review notes he may be too busy with research.

```json
{
  "citations": [
    {
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      "review_date": "2026-01-20 06:30:52 +0000 UTC",
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```

#### offered

true

#### profile hash

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#### quick take

Mikhail Ivanov is an excellent professor who makes the material very clear and follows the textbook's pacing. He provides clear explanations at office hours, making the course accessible despite its difficulty.

```json
{
  "citations": [
    {
      "instructor_name": "Mikhail Ivanov",
      "review_date": "2023-12-13 02:19:34 +0000 UTC",
      "review_id": "7dd71b93e361eb57388d3fe3",
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      "source_instructor_id": "rmp:2680569",
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      "source_url": "https://www.ratemyprofessors.com/professor/2680569",
      "type": "review"
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```

Recent recorded grades — Spring 2025: 2.97 GPA, 44.1% A/AB (n=34 letter grades); Fall 2025: 3.34 GPA, 58.8% A/AB (n=68 letter grades); Spring 2026: 2.48 GPA, 35.5% A/AB (n=31 letter grades).

```json
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```

#### student experience

Students find the professor's explanations and office hour support very helpful. The teaching style aligns well with the textbook, providing a structured learning experience.

```json
{
  "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"
    }
  ]
}
```

#### task hash

74fb0997943e888960bbc9e47db8c4fd12e4292d55c20509d8d89db6a9910f68

#### teaching history

ANANTH SHANKAR is recorded teaching in Fall 2022. Recorded history may be incomplete and does not establish a future schedule.

```json
{
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    {
      "course_id": "MATH 467",
      "run_id": "20260907T155543-ce3781c4",
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      "table": "section_grades_latest",
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}
```

BOTONG WANG is recorded teaching in Fall 2025. Recorded history may be incomplete and does not establish a future schedule.

```json
{
  "citations": [
    {
      "course_id": "MATH 467",
      "run_id": "20260907T155543-ce3781c4",
      "section_number": 1,
      "source_course_id": "4b1ae127-39fe-3978-b487-1f9ddbef5c1f",
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      },
      "table": "section_grades_latest",
      "term_id": "1262",
      "type": "grade"
    }
  ]
}
```

DANIEL ERMAN is recorded teaching in Fall 2021. Recorded history may be incomplete and does not establish a future schedule.

```json
{
  "citations": [
    {
      "course_id": "MATH 467",
      "run_id": "20260907T155543-ce3781c4",
      "section_number": 1,
      "source_course_id": "4b1ae127-39fe-3978-b487-1f9ddbef5c1f",
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        "file": "tables/observations.parquet",
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      },
      "table": "section_grades_latest",
      "term_id": "1222",
      "type": "grade"
    }
  ]
}
```

MIKHAIL IVANOV is recorded teaching in Fall 2023. Recorded history may be incomplete and does not establish a future schedule.

```json
{
  "citations": [
    {
      "course_id": "MATH 467",
      "run_id": "20260907T155543-ce3781c4",
      "section_number": 1,
      "source_course_id": "4b1ae127-39fe-3978-b487-1f9ddbef5c1f",
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        "kind": "grades",
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      },
      "table": "section_grades_latest",
      "term_id": "1242",
      "type": "grade"
    }
  ]
}
```

MITCH KELLER is recorded teaching in Fall 2024. Recorded history may be incomplete and does not establish a future schedule.

```json
{
  "citations": [
    {
      "course_id": "MATH 467",
      "run_id": "20260907T155543-ce3781c4",
      "section_number": 2,
      "source_course_id": "4b1ae127-39fe-3978-b487-1f9ddbef5c1f",
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      "term_id": "1252",
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  ]
}
```

#### term id

1272

#### term name

2026 Fall

#### version

2

### requirements

#### nodes

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#### notes

None recorded.

#### root

n0

#### status

parsed

### instructors

```json
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      "difficulty": 3.46,
      "quality_count": 35,
      "difficulty_count": 35,
      "profile_id": "rmp:2279567",
      "source_url": "https://www.ratemyprofessors.com/professor/2279567",
      "match_basis": "exact_name",
      "observed_at": "2026-09-07 16:51:37.641601+00:00",
      "courses": {
        "course_e7b7ff33c37b147a17b2d14d": {
          "review_count": 3,
          "quality": 4,
          "difficulty": 3.67,
          "quality_count": 3,
          "difficulty_count": 3
        },
        "course_6bc496e4640fd08f71e1b041": {
          "review_count": 17,
          "quality": 3.65,
          "difficulty": 3.47,
          "quality_count": 17,
          "difficulty_count": 17
        },
        "course_8634dde81cc95f6c58014087": {
          "review_count": 4,
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          "difficulty_count": 4
        },
        "course_cc1de60e9953cdd9c469e9a5": {
          "review_count": 2,
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          "difficulty": 3.5,
          "quality_count": 2,
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        },
        "course_7d3f055b392d74c588d35d0b": {
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          "difficulty": 3.25,
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        }
      },
      "bayesian_quality": 3.532613012198762,
      "prior_mean": 3.6596857835465957,
      "prior_weight": 20
    },
    "grade_statistics": {
      "gpa": 2.915,
      "graded": 1633,
      "counts": [
        513,
        176,
        393,
        144,
        224,
        106,
        77
      ],
      "sections": 25
    },
    "instructor_url": "/instructors/BOTONG_WANG--instructor_bb4ab5ae7dbecb56c2cd59db"
  },
  {
    "instructor_uid": "instructor_2bf2633758fd67bdce69511e",
    "source": "madgrades",
    "source_instructor_id": "5369950",
    "identity_basis": "source_id",
    "identity_status": "source_identified",
    "name": "MAX LAHN",
    "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": 2.96,
      "graded": 137,
      "counts": [
        39,
        19,
        35,
        12,
        21,
        6,
        5
      ],
      "sections": 4
    },
    "instructor_url": "/instructors/MAX_LAHN--instructor_2bf2633758fd67bdce69511e"
  },
  {
    "instructor_uid": "instructor_0f4da1c73bb756d2b23d7804",
    "source": "enrollment",
    "source_instructor_id": "mivanov",
    "identity_basis": "netid",
    "identity_status": "source_identified",
    "name": "Mikhail Ivanov",
    "email": "MIVANOV@WISC.EDU",
    "first_observed_at": "2026-09-07 15:55:43.033547+00:00",
    "last_observed_at": "2026-09-07 15:55:43.033547+00:00",
    "ratings": {
      "review_count": 44,
      "quality": 3.14,
      "difficulty": 3.43,
      "quality_count": 44,
      "difficulty_count": 44,
      "profile_id": "rmp:2680569",
      "source_url": "https://www.ratemyprofessors.com/professor/2680569",
      "match_basis": "exact_name",
      "observed_at": "2026-09-07 16:17:02.037647+00:00",
      "courses": {
        "course_7e12e6bf6be7a81f7ca74420": {
          "review_count": 2,
          "quality": 5,
          "difficulty": 3,
          "quality_count": 2,
          "difficulty_count": 2
        },
        "course_dcdb624e3fb8cbaf9a557ab9": {
          "review_count": 5,
          "quality": 4.4,
          "difficulty": 3.2,
          "quality_count": 5,
          "difficulty_count": 5
        },
        "course_9a1a7bf1933981bcbaca47ac": {
          "review_count": 4,
          "quality": 3.5,
          "difficulty": 2.75,
          "quality_count": 4,
          "difficulty_count": 4
        },
        "course_6bc496e4640fd08f71e1b041": {
          "review_count": 13,
          "quality": 2.85,
          "difficulty": 3.38,
          "quality_count": 13,
          "difficulty_count": 13
        },
        "course_63c43e7ac8225e2773df74d8": {
          "review_count": 3,
          "quality": 4.33,
          "difficulty": 3.33,
          "quality_count": 3,
          "difficulty_count": 3
        },
        "course_e7b7ff33c37b147a17b2d14d": {
          "review_count": 1,
          "quality": 5,
          "difficulty": 3,
          "quality_count": 1,
          "difficulty_count": 1
        },
        "course_9b0dc1865ea603eb0083bc33": {
          "review_count": 13,
          "quality": 2.23,
          "difficulty": 4,
          "quality_count": 13,
          "difficulty_count": 13
        },
        "course_3b14f667f980624c1f5bde67": {
          "review_count": 3,
          "quality": 2.67,
          "difficulty": 3,
          "quality_count": 3,
          "difficulty_count": 3
        }
      },
      "bayesian_quality": 3.302401807358311,
      "prior_mean": 3.6596857835465957,
      "prior_weight": 20
    },
    "instructor_url": "/instructors/MIKHAIL_IVANOV"
  }
]
```

### grades

```json
[
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 467",
    "course_uid": "course_e7b7ff33c37b147a17b2d14d",
    "term_id": "1202",
    "term_name": "Fall 2019",
    "instructors": [
      "DMYTRO ARINKIN"
    ],
    "a": 5,
    "ab": 5,
    "b": 5,
    "bc": 4,
    "c": 5,
    "d": 0,
    "f": 1,
    "satisfactory": 2,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 27,
    "source_aliases": [
      "MATH 467"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 467",
    "course_uid": "course_e7b7ff33c37b147a17b2d14d",
    "term_id": "1212",
    "term_name": "Fall 2020",
    "instructors": [
      "SHAOMING GUO"
    ],
    "a": 24,
    "ab": 6,
    "b": 0,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 1,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 1,
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    "other": 0,
    "total": 32,
    "source_aliases": [
      "MATH 467"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 467",
    "course_uid": "course_e7b7ff33c37b147a17b2d14d",
    "term_id": "1222",
    "term_name": "Fall 2021",
    "instructors": [
      "DANIEL ERMAN"
    ],
    "a": 41,
    "ab": 11,
    "b": 2,
    "bc": 2,
    "c": 0,
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    "credit": 0,
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    "total": 57,
    "source_aliases": [
      "MATH 467"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 467",
    "course_uid": "course_e7b7ff33c37b147a17b2d14d",
    "term_id": "1232",
    "term_name": "Fall 2022",
    "instructors": [
      "ANANTH SHANKAR"
    ],
    "a": 9,
    "ab": 4,
    "b": 6,
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    "c": 7,
    "d": 0,
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    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
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    "total": 35,
    "source_aliases": [
      "MATH 467"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 467",
    "course_uid": "course_e7b7ff33c37b147a17b2d14d",
    "term_id": "1242",
    "term_name": "Fall 2023",
    "instructors": [
      "Mikhail Ivanov"
    ],
    "a": 11,
    "ab": 6,
    "b": 7,
    "bc": 3,
    "c": 5,
    "d": 1,
    "f": 0,
    "satisfactory": 0,
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    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 1,
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    "total": 34,
    "source_aliases": [
      "MATH 467"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 467",
    "course_uid": "course_e7b7ff33c37b147a17b2d14d",
    "term_id": "1244",
    "term_name": "Spring 2024",
    "instructors": [
      "Caglar Uyanik"
    ],
    "a": 18,
    "ab": 7,
    "b": 9,
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    "c": 1,
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    "total": 39,
    "source_aliases": [
      "MATH 467"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 467",
    "course_uid": "course_e7b7ff33c37b147a17b2d14d",
    "term_id": "1252",
    "term_name": "Fall 2024",
    "instructors": [
      "Mitch Keller",
      "Shiva Chidambaram"
    ],
    "a": 19,
    "ab": 15,
    "b": 15,
    "bc": 7,
    "c": 2,
    "d": 3,
    "f": 1,
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    "no_credit": 0,
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    "total": 62,
    "source_aliases": [
      "MATH 467"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 467",
    "course_uid": "course_e7b7ff33c37b147a17b2d14d",
    "term_id": "1254",
    "term_name": "Spring 2025",
    "instructors": [
      "Shiva Chidambaram"
    ],
    "a": 8,
    "ab": 7,
    "b": 9,
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    "c": 4,
    "d": 2,
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    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 3,
    "no_work": 0,
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    "other": 0,
    "total": 37,
    "source_aliases": [
      "MATH 467"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 467",
    "course_uid": "course_e7b7ff33c37b147a17b2d14d",
    "term_id": "1262",
    "term_name": "Fall 2025",
    "instructors": [
      "Botong Wang",
      "Robert Lemke Oliver"
    ],
    "a": 30,
    "ab": 10,
    "b": 17,
    "bc": 2,
    "c": 8,
    "d": 0,
    "f": 1,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 1,
    "not_reported": 1,
    "other": 0,
    "total": 70,
    "source_aliases": [
      "MATH 467"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 467",
    "course_uid": "course_e7b7ff33c37b147a17b2d14d",
    "term_id": "1264",
    "term_name": "Spring 2026",
    "instructors": [
      "Max Lahn"
    ],
    "a": 7,
    "ab": 4,
    "b": 4,
    "bc": 2,
    "c": 7,
    "d": 4,
    "f": 3,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 31,
    "source_aliases": [
      "MATH 467"
    ]
  }
]
```

### statistics

#### gpa

3.264

#### graded

413

#### counts

* 172
* 75
* 74
* 35
* 39
* 10
* 8

### grade conflicts

None recorded.

### evidence

#### history

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course\_e7b7ff33c37b147a17b2d14d-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_e7b7ff33c37b147a17b2d14d-0.json)

#### traces

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_e7b7ff33c37b147a17b2d14d-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_e7b7ff33c37b147a17b2d14d-0.json)

#### reviews

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course\_e7b7ff33c37b147a17b2d14d-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_e7b7ff33c37b147a17b2d14d-0.json)

#### meetings

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/meetings/course\_e7b7ff33c37b147a17b2d14d-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/meetings/course_e7b7ff33c37b147a17b2d14d-0.json)

#### results

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_e7b7ff33c37b147a17b2d14d-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_e7b7ff33c37b147a17b2d14d-0.json)

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

## context

### all

#### term



#### gpa

3.263922518159806

#### count

413

#### university

##### size

4354

##### gpa Percentile

8

##### count Percentile

80

##### median Count

123

##### 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 | 10    | false   |
| 2.8–3.2 | 229   | false   |
| 3.2–3.6 | 1060  | true    |
| 3.6–4.0 | 3055  | false   |

#### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 114,
      "gpaPercentile": 30,
      "countPercentile": 73,
      "medianCount": 116,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 0,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 3,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 26,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 31,
          "current": true
        },
        {
          "range": "3.6–4.0",
          "count": 54,
          "current": false
        }
      ]
    }
  }
]
```

### terms

#### 1202

##### term

1202

##### gpa

2.9

##### count

25

##### departments

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

#### 1212

##### term

1212

##### gpa

3.9

##### count

30

##### university

###### size

1111

###### gpa Percentile

83

###### count Percentile

0

###### median Count

68

###### histogram

| range   | count | current |
| ------- | ----- | ------- |
| 0.0–0.4 | 0     | false   |
| 0.4–0.8 | 0     | false   |
| 0.8–1.2 | 0     | false   |
| 1.2–1.6 | 0     | false   |
| 1.6–2.0 | 0     | false   |
| 2.0–2.4 | 0     | false   |
| 2.4–2.8 | 4     | false   |
| 2.8–3.2 | 159   | false   |
| 3.2–3.6 | 337   | false   |
| 3.6–4.0 | 611   | true    |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 41,
      "gpaPercentile": 90,
      "countPercentile": 0,
      "medianCount": 87,
      "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": 2,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 18,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 12,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 9,
          "current": true
        }
      ]
    }
  }
]
```

#### 1222

##### term

1222

##### gpa

3.8125

##### count

56

##### university

###### size

1157

###### gpa Percentile

73

###### count Percentile

43

###### median Count

64

###### histogram

| range   | count | current |
| ------- | ----- | ------- |
| 0.0–0.4 | 0     | false   |
| 0.4–0.8 | 0     | false   |
| 0.8–1.2 | 0     | false   |
| 1.2–1.6 | 0     | false   |
| 1.6–2.0 | 0     | false   |
| 2.0–2.4 | 1     | false   |
| 2.4–2.8 | 17    | false   |
| 2.8–3.2 | 174   | false   |
| 3.2–3.6 | 351   | false   |
| 3.6–4.0 | 614   | true    |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 39,
      "gpaPercentile": 89,
      "countPercentile": 34,
      "medianCount": 63,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 1,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 5,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 13,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 12,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 8,
          "current": true
        }
      ]
    }
  }
]
```

#### 1232

##### term

1232

##### gpa

2.9857142857142858

##### count

35

##### university

###### size

1216

###### gpa Percentile

5

###### count Percentile

12

###### median Count

66

###### histogram

| range   | count | current |
| ------- | ----- | ------- |
| 0.0–0.4 | 0     | false   |
| 0.4–0.8 | 0     | false   |
| 0.8–1.2 | 0     | false   |
| 1.2–1.6 | 0     | false   |
| 1.6–2.0 | 0     | false   |
| 2.0–2.4 | 2     | false   |
| 2.4–2.8 | 14    | false   |
| 2.8–3.2 | 174   | true    |
| 3.2–3.6 | 356   | false   |
| 3.6–4.0 | 670   | false   |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 43,
      "gpaPercentile": 24,
      "countPercentile": 17,
      "medianCount": 69,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 1,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 4,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 17,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 14,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 7,
          "current": false
        }
      ]
    }
  }
]
```

#### 1242

##### term

1242

##### gpa

3.1666666666666665

##### count

33

##### university

###### size

1295

###### gpa Percentile

12

###### count Percentile

9

###### median Count

67

###### histogram

| range   | count | current |
| ------- | ----- | ------- |
| 0.0–0.4 | 0     | false   |
| 0.4–0.8 | 0     | false   |
| 0.8–1.2 | 0     | false   |
| 1.2–1.6 | 0     | false   |
| 1.6–2.0 | 0     | false   |
| 2.0–2.4 | 2     | false   |
| 2.4–2.8 | 11    | false   |
| 2.8–3.2 | 162   | true    |
| 3.2–3.6 | 394   | false   |
| 3.6–4.0 | 726   | false   |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 43,
      "gpaPercentile": 43,
      "countPercentile": 10,
      "medianCount": 80,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 1,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 4,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 17,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 13,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 8,
          "current": false
        }
      ]
    }
  }
]
```

#### 1244

##### term

1244

##### gpa

3.41025641025641

##### count

39

##### university

###### size

1241

###### gpa Percentile

26

###### count Percentile

20

###### median Count

65

###### 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 | 2     | false   |
| 2.4–2.8 | 9     | false   |
| 2.8–3.2 | 151   | false   |
| 3.2–3.6 | 373   | true    |
| 3.6–4.0 | 706   | false   |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 43,
      "gpaPercentile": 71,
      "countPercentile": 19,
      "medianCount": 68,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 2,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 2,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 20,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 11,
          "current": true
        },
        {
          "range": "3.6–4.0",
          "count": 8,
          "current": false
        }
      ]
    }
  }
]
```

#### 1252

##### term

1252

##### gpa

3.193548387096774

##### count

62

##### university

###### size

1333

###### gpa Percentile

9

###### count Percentile

44

###### median Count

69

###### 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 | 14    | false   |
| 2.8–3.2 | 115   | true    |
| 3.2–3.6 | 431   | false   |
| 3.6–4.0 | 773   | false   |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 43,
      "gpaPercentile": 57,
      "countPercentile": 40,
      "medianCount": 74,
      "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": 5,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 20,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 16,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 2,
          "current": false
        }
      ]
    }
  }
]
```

#### 1254

##### term

1254

##### gpa

2.9705882352941178

##### count

34

##### university

###### size

1289

###### gpa Percentile

4

###### count Percentile

8

###### median Count

66

###### histogram

| range   | count | current |
| ------- | ----- | ------- |
| 0.0–0.4 | 0     | false   |
| 0.4–0.8 | 0     | false   |
| 0.8–1.2 | 0     | false   |
| 1.2–1.6 | 0     | false   |
| 1.6–2.0 | 0     | false   |
| 2.0–2.4 | 0     | false   |
| 2.4–2.8 | 17    | false   |
| 2.8–3.2 | 128   | true    |
| 3.2–3.6 | 379   | false   |
| 3.6–4.0 | 765   | false   |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 39,
      "gpaPercentile": 21,
      "countPercentile": 8,
      "medianCount": 89,
      "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": 16,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 13,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 4,
          "current": false
        }
      ]
    }
  }
]
```

#### 1262

##### term

1262

##### gpa

3.338235294117647

##### count

68

##### university

###### size

1320

###### gpa Percentile

18

###### count Percentile

48

###### median Count

70

###### histogram

| range   | count | current |
| ------- | ----- | ------- |
| 0.0–0.4 | 0     | false   |
| 0.4–0.8 | 0     | false   |
| 0.8–1.2 | 0     | false   |
| 1.2–1.6 | 0     | false   |
| 1.6–2.0 | 0     | false   |
| 2.0–2.4 | 1     | false   |
| 2.4–2.8 | 8     | false   |
| 2.8–3.2 | 133   | false   |
| 3.2–3.6 | 381   | true    |
| 3.6–4.0 | 797   | false   |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 43,
      "gpaPercentile": 64,
      "countPercentile": 45,
      "medianCount": 81,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 0,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 3,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 18,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 16,
          "current": true
        },
        {
          "range": "3.6–4.0",
          "count": 6,
          "current": false
        }
      ]
    }
  }
]
```

#### 1264

##### term

1264

##### gpa

2.4838709677419355

##### count

31

##### university

###### size

1283

###### gpa Percentile

0

###### count Percentile

2

###### median Count

66

###### histogram

| range   | count | current |
| ------- | ----- | ------- |
| 0.0–0.4 | 0     | false   |
| 0.4–0.8 | 0     | false   |
| 0.8–1.2 | 0     | false   |
| 1.2–1.6 | 0     | false   |
| 1.6–2.0 | 0     | false   |
| 2.0–2.4 | 1     | false   |
| 2.4–2.8 | 20    | true    |
| 2.8–3.2 | 130   | false   |
| 3.2–3.6 | 343   | false   |
| 3.6–4.0 | 789   | false   |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 42,
      "gpaPercentile": 5,
      "countPercentile": 7,
      "medianCount": 80,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 1,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 7,
          "current": true
        },
        {
          "range": "2.8–3.2",
          "count": 17,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 11,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 6,
          "current": false
        }
      ]
    }
  }
]
```

### benchmarks

#### all

##### school

###### size

4354

###### gpa

3.698267185496028

###### top Share

84.28083464840091

###### count

123

##### MATH

###### size

114

###### gpa

3.5267546559093526

###### top Share

73.73743320416433

###### count

116

#### terms

##### 1202

###### school

###### size

1102

###### gpa

3.5102605987403313

###### top Share

72.78244569053733

###### count

68

###### MATH

###### size

40

###### gpa

3.1467748801316944

###### top Share

52.57847974231038

###### count

90.5

##### 1212

###### school

###### size

1111

###### gpa

3.5856416028074487

###### top Share

77.58926748660845

###### count

68

###### MATH

###### size

41

###### gpa

3.3211331103538813

###### top Share

59.85093623917685

###### count

87

##### 1222

###### school

###### size

1157

###### gpa

3.563052311875811

###### top Share

76.64869058732418

###### count

64

###### MATH

###### size

39

###### gpa

3.2083447119296955

###### top Share

56.75007696473496

###### count

63

##### 1232

###### school

###### size

1216

###### gpa

3.575457431972425

###### top Share

77.33712216234007

###### count

66

###### MATH

###### size

43

###### gpa

3.2486774162409366

###### top Share

56.56203211471963

###### count

69

##### 1242

###### school

###### size

1295

###### gpa

3.595302892737449

###### top Share

78.36291889885307

###### count

67

###### MATH

###### size

43

###### gpa

3.2449031633350183

###### top Share

58.03783489438137

###### count

80

##### 1244

###### school

###### size

1241

###### gpa

3.5975573126929192

###### top Share

78.29036874847135

###### count

65

###### MATH

###### size

43

###### gpa

3.228240949537157

###### top Share

55.86451059486035

###### count

68

##### 1252

###### school

###### size

1333

###### gpa

3.619494049739118

###### top Share

79.71442190500672

###### count

69

###### MATH

###### size

43

###### gpa

3.185692541204979

###### top Share

54.14175342403773

###### count

74

##### 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

##### 1262

###### school

###### size

1320

###### gpa

3.628825763035853

###### top Share

80.21118846327654

###### count

70

###### MATH

###### size

43

###### gpa

3.2481769276584003

###### top Share

56.325967864851854

###### count

81

##### 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_4c9193beeeb2d204641f55e5",
    "name": "SHIVA CHIDAMBARAM",
    "count": 61,
    "terms": [
      {
        "term": "1252",
        "count": 27,
        "sections": 1,
        "gpa": 3.185185185185185
      },
      {
        "term": "1254",
        "count": 34,
        "sections": 1,
        "gpa": 2.9705882352941178
      }
    ]
  },
  {
    "uid": "instructor_71ef50f4a56c330c438c8692",
    "name": "DANIEL ERMAN",
    "count": 56,
    "terms": [
      {
        "term": "1222",
        "count": 56,
        "sections": 1,
        "gpa": 3.8125
      }
    ]
  },
  {
    "uid": "instructor_18ef1d7d9b98466965984778",
    "name": "CAGLAR UYANIK",
    "count": 39,
    "terms": [
      {
        "term": "1244",
        "count": 39,
        "sections": 1,
        "gpa": 3.41025641025641
      }
    ]
  },
  {
    "uid": "instructor_bb4ab5ae7dbecb56c2cd59db",
    "name": "BOTONG WANG",
    "count": 35,
    "terms": [
      {
        "term": "1262",
        "count": 35,
        "sections": 1,
        "gpa": 3.357142857142857
      }
    ]
  },
  {
    "uid": "instructor_c7f578ceaf74c43a208a7455",
    "name": "ANANTH SHANKAR",
    "count": 35,
    "terms": [
      {
        "term": "1232",
        "count": 35,
        "sections": 1,
        "gpa": 2.9857142857142858
      }
    ]
  },
  {
    "uid": "instructor_ede8aed2cc73dd8c67230acc",
    "name": "MITCH KELLER",
    "count": 35,
    "terms": [
      {
        "term": "1252",
        "count": 35,
        "sections": 1,
        "gpa": 3.2
      }
    ]
  },
  {
    "uid": "instructor_65dbc1b20823a490be6baf42",
    "name": "ROBERT LEMKE OLIVER",
    "count": 33,
    "terms": [
      {
        "term": "1262",
        "count": 33,
        "sections": 1,
        "gpa": 3.3181818181818183
      }
    ]
  },
  {
    "uid": "instructor_91ba0ecbfb754ecba5e7dd8c",
    "name": "MIKHAIL IVANOV",
    "count": 33,
    "terms": [
      {
        "term": "1242",
        "count": 33,
        "sections": 1,
        "gpa": 3.1666666666666665
      }
    ]
  },
  {
    "uid": "instructor_2bf2633758fd67bdce69511e",
    "name": "MAX LAHN",
    "count": 31,
    "terms": [
      {
        "term": "1264",
        "count": 31,
        "sections": 1,
        "gpa": 2.4838709677419355
      }
    ]
  },
  {
    "uid": "instructor_c71686b20443ece4d26594c5",
    "name": "SHAOMING GUO",
    "count": 30,
    "terms": [
      {
        "term": "1212",
        "count": 30,
        "sections": 1,
        "gpa": 3.9
      }
    ]
  },
  {
    "uid": "instructor_efd230d48fca1e6778221a38",
    "name": "DMYTRO ARINKIN",
    "count": 25,
    "terms": [
      {
        "term": "1202",
        "count": 25,
        "sections": 1,
        "gpa": 2.9
      }
    ]
  }
]
```

## following

| code             | title                                                             |
| ---------------- | ----------------------------------------------------------------- |
| HISTSCI/MATH 473 | HISTORY OF MATHEMATICS                                            |
| MATH 521         | ANALYSIS I                                                        |
| MATH 535         | MATHEMATICAL METHODS IN DATA SCIENCE                              |
| MATH 540         | LINEAR ALGEBRA II                                                 |
| MATH 541         | MODERN ALGEBRA 1                                                  |
| MATH 551         | POINT-SET TOPOLOGY                                                |
| MATH 561         | DIFFERENTIAL GEOMETRY                                             |
| MATH 570         | FUNDAMENTALS OF SET THEORY                                        |
| MATH 616         | DATA-DRIVEN DYNAMICAL SYSTEMS, STOCHASTIC MODELING AND PREDICTION |
| MATH/PHILOS 571  | MATHEMATICAL LOGIC                                                |

## projection

### target

1272

### gpa

3.2752339316835575

### grades

| grade | percentage         |
| ----- | ------------------ |
| A     | 39.60060540775245  |
| AB    | 17.727935374858724 |
| B     | 20.27921117486762  |
| BC    | 9.644272900362212  |
| C     | 10.198215355965305 |
| D     | 1.7284512379014227 |
| F     | 0.8213085482922652 |

### source Terms

* 1262
* 1252
* 1242
* 1232
* 1222

### source Count

254

### same Season

true

### historical Range

* 2.9857142857142853
* 3.8125
