# MATH 823: Advanced Topics in Complex Analysis | UW–Madison

[View on UW Courses](https://uwcourses.com/courses/MATH_823)

## Dataset

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### term

1272

### departments

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## course

### run id

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### semester

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### course number

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### subjects

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### title

ADVANCED TOPICS IN COMPLEX ANALYSIS

### description

Several complex variables. Basic several complex variables or more special topics.

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### credit offering ids

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### llm search status

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### llm summary

Covers basic and special topics in several complex variables.

### llm topics

* Several complex variables
* Special topics in complex analysis

### llm skills

None recorded.

### llm assumed background

* Foundational knowledge in several complex variables

### llm search phrases

* advanced complex analysis
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#### errors

None recorded.

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#### quick take

Recent recorded grades — Fall 2023: 4.00 GPA, 100.0% A/AB (n=9 letter grades); Fall 2024: 4.00 GPA, 100.0% A/AB (n=8 letter grades); Fall 2025: 3.94 GPA, 100.0% A/AB (n=8 letter grades).

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None recorded.

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    "instructors": [
      "ALEXANDER NAGEL"
    ],
    "a": 17,
    "ab": 0,
    "b": 0,
    "bc": 0,
    "c": 0,
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    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 17,
    "source_aliases": [
      "MATH 823"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 823",
    "course_uid": "course_edff9945dfd6ac7ff7acfa8a",
    "term_id": "1092",
    "term_name": "Fall 2008",
    "instructors": [
      "Xianghong Gong"
    ],
    "a": 9,
    "ab": 0,
    "b": 0,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 9,
    "source_aliases": [
      "MATH 823"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 823",
    "course_uid": "course_edff9945dfd6ac7ff7acfa8a",
    "term_id": "1102",
    "term_name": "Fall 2009",
    "instructors": [
      "Xianghong Gong"
    ],
    "a": 3,
    "ab": 2,
    "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": 6,
    "source_aliases": [
      "MATH 823"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 823",
    "course_uid": "course_edff9945dfd6ac7ff7acfa8a",
    "term_id": "1112",
    "term_name": "Fall 2010",
    "instructors": [
      "ALEXANDER NAGEL"
    ],
    "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": 0,
    "total": 13,
    "source_aliases": [
      "MATH 823"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 823",
    "course_uid": "course_edff9945dfd6ac7ff7acfa8a",
    "term_id": "1122",
    "term_name": "Fall 2011",
    "instructors": [
      "Xianghong Gong"
    ],
    "a": 0,
    "ab": 0,
    "b": 0,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 0,
    "source_aliases": [
      "MATH 823"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 823",
    "course_uid": "course_edff9945dfd6ac7ff7acfa8a",
    "term_id": "1132",
    "term_name": "Fall 2012",
    "instructors": [
      "Xianghong Gong"
    ],
    "a": 8,
    "ab": 0,
    "b": 0,
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    "c": 0,
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    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
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    "total": 8,
    "source_aliases": [
      "MATH 823"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 823",
    "course_uid": "course_edff9945dfd6ac7ff7acfa8a",
    "term_id": "1162",
    "term_name": "Fall 2015",
    "instructors": [
      "Xianghong Gong"
    ],
    "a": 12,
    "ab": 0,
    "b": 0,
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    "c": 0,
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    "satisfactory": 0,
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    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
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    "not_reported": 0,
    "other": 0,
    "total": 12,
    "source_aliases": [
      "MATH 823"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 823",
    "course_uid": "course_edff9945dfd6ac7ff7acfa8a",
    "term_id": "1182",
    "term_name": "Fall 2017",
    "instructors": [
      "Xianghong Gong"
    ],
    "a": 12,
    "ab": 0,
    "b": 0,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 12,
    "source_aliases": [
      "MATH 823"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 823",
    "course_uid": "course_edff9945dfd6ac7ff7acfa8a",
    "term_id": "1192",
    "term_name": "Fall 2018",
    "instructors": [
      "Xianghong Gong"
    ],
    "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": 0,
    "total": 13,
    "source_aliases": [
      "MATH 823"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 823",
    "course_uid": "course_edff9945dfd6ac7ff7acfa8a",
    "term_id": "1212",
    "term_name": "Fall 2020",
    "instructors": [
      "Andrew Zimmer"
    ],
    "a": 7,
    "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,
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    "not_reported": 0,
    "other": 0,
    "total": 7,
    "source_aliases": [
      "MATH 823"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 823",
    "course_uid": "course_edff9945dfd6ac7ff7acfa8a",
    "term_id": "1222",
    "term_name": "Fall 2021",
    "instructors": [
      "Alexei Poltoratski"
    ],
    "a": 10,
    "ab": 0,
    "b": 0,
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    "c": 0,
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    "credit": 0,
    "no_credit": 0,
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    "incomplete": 0,
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    "not_reported": 0,
    "other": 0,
    "total": 10,
    "source_aliases": [
      "MATH 823"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 823",
    "course_uid": "course_edff9945dfd6ac7ff7acfa8a",
    "term_id": "1232",
    "term_name": "Fall 2022",
    "instructors": [
      "Xianghong Gong"
    ],
    "a": 10,
    "ab": 0,
    "b": 0,
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    "c": 0,
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    "satisfactory": 0,
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    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 10,
    "source_aliases": [
      "MATH 823"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 823",
    "course_uid": "course_edff9945dfd6ac7ff7acfa8a",
    "term_id": "1242",
    "term_name": "Fall 2023",
    "instructors": [
      "Xianghong Gong"
    ],
    "a": 9,
    "ab": 0,
    "b": 0,
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    "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 823"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 823",
    "course_uid": "course_edff9945dfd6ac7ff7acfa8a",
    "term_id": "1252",
    "term_name": "Fall 2024",
    "instructors": [
      "Alexei Poltoratski"
    ],
    "a": 8,
    "ab": 0,
    "b": 0,
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    "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": 8,
    "source_aliases": [
      "MATH 823"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 823",
    "course_uid": "course_edff9945dfd6ac7ff7acfa8a",
    "term_id": "1262",
    "term_name": "Fall 2025",
    "instructors": [
      "Xianghong Gong"
    ],
    "a": 7,
    "ab": 1,
    "b": 0,
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    "c": 0,
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    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 8,
    "source_aliases": [
      "MATH 823"
    ]
  }
]
```

### statistics

#### gpa

3.983

#### graded

151

#### counts

* 147
* 3
* 1
* 0
* 0
* 0
* 0

### grade conflicts

None recorded.

### evidence

#### history

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course\_edff9945dfd6ac7ff7acfa8a-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_edff9945dfd6ac7ff7acfa8a-0.json)

#### traces

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_edff9945dfd6ac7ff7acfa8a-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_edff9945dfd6ac7ff7acfa8a-0.json)

#### results

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_edff9945dfd6ac7ff7acfa8a-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_edff9945dfd6ac7ff7acfa8a-0.json)

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

## context

### all

#### term



#### gpa

3.9834437086092715

#### count

151

#### university

##### size

4009

##### gpa Percentile

92

##### count Percentile

47

##### median Count

165

##### 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 | 10    | false   |
| 2.8–3.2 | 320   | false   |
| 3.2–3.6 | 1126  | false   |
| 3.6–4.0 | 2552  | true    |

#### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 95,
      "gpaPercentile": 82,
      "countPercentile": 39,
      "medianCount": 251,
      "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": 2,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 29,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 17,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 46,
          "current": true
        }
      ]
    }
  }
]
```

### terms

#### 1072

##### term

1072

##### gpa

4

##### count

9

##### departments

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

#### 1082

##### term

1082

##### gpa

4

##### count

17

##### departments

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

#### 1092

##### term

1092

##### gpa

4

##### count

9

##### departments

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

#### 1102

##### term

1102

##### gpa

3.6666666666666665

##### count

6

##### departments

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

#### 1112

##### term

1112

##### gpa

4

##### count

13

##### departments

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

#### 1132

##### term

1132

##### gpa

4

##### count

8

##### departments

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

#### 1162

##### term

1162

##### gpa

4

##### count

12

##### departments

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

#### 1182

##### term

1182

##### gpa

4

##### count

12

##### departments

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

#### 1192

##### term

1192

##### gpa

4

##### count

13

##### departments

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

#### 1212

##### term

1212

##### gpa

4

##### count

7

##### departments

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

#### 1222

##### term

1222

##### gpa

4

##### count

10

##### departments

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

#### 1232

##### term

1232

##### gpa

4

##### count

10

##### departments

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

#### 1242

##### term

1242

##### gpa

4

##### count

9

##### departments

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

#### 1252

##### term

1252

##### gpa

4

##### count

8

##### departments

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

#### 1262

##### term

1262

##### gpa

3.9375

##### count

8

##### departments

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

### benchmarks

#### all

##### school

###### size

4009

###### gpa

3.6558726655546994

###### top Share

81.68608298417774

###### count

165

##### MATH

###### size

95

###### gpa

3.5086333488361747

###### top Share

72.72909269470193

###### count

251

#### terms

##### 1072

###### school

###### size

723

###### gpa

3.344595727439471

###### top Share

62.012941427864526

###### count

67

###### MATH

###### size

21

###### gpa

2.878188611674867

###### top Share

40.4748751710427

###### count

115

##### 1082

###### school

###### size

723

###### gpa

3.3583896732335172

###### top Share

62.932746798940194

###### count

68

###### MATH

###### size

20

###### gpa

2.8603540012311925

###### top Share

39.28661748894661

###### count

122

##### 1092

###### school

###### size

732

###### gpa

3.374660709520374

###### top Share

63.690339324346596

###### count

70

###### MATH

###### size

22

###### gpa

2.8820162698417926

###### top Share

39.71597770466243

###### count

131

##### 1102

###### school

###### size

774

###### gpa

3.36712622366007

###### top Share

63.703228532165696

###### count

67

###### MATH

###### size

27

###### gpa

2.936619140855453

###### top Share

42.28372460948232

###### count

76

##### 1112

###### school

###### size

805

###### gpa

3.3737773184830386

###### top Share

63.91039244872789

###### count

66

###### MATH

###### size

26

###### gpa

2.9941347625171355

###### top Share

43.79682105650899

###### count

87

##### 1122

###### school

###### size

804

###### gpa

3.3737149752667013

###### top Share

63.65118790117902

###### count

70

###### MATH

###### size

27

###### gpa

2.898067749128924

###### top Share

42.09489165698714

###### count

103

##### 1132

###### school

###### size

851

###### gpa

3.391128778809763

###### top Share

64.69509437122704

###### count

66

###### MATH

###### size

25

###### gpa

2.9605395515107897

###### top Share

42.794601137643824

###### count

108

##### 1162

###### school

###### size

954

###### gpa

3.43726781345039

###### top Share

68.05645304987395

###### count

64.5

###### MATH

###### size

36

###### gpa

3.1059509777204544

###### top Share

50.071044743474

###### count

74.5

##### 1182

###### school

###### size

1025

###### gpa

3.474159360325319

###### top Share

70.34861441764347

###### count

69

###### MATH

###### size

36

###### gpa

3.0839531022443034

###### top Share

48.116975859522796

###### count

80

##### 1192

###### school

###### size

1077

###### gpa

3.50327634323125

###### top Share

72.44641925727845

###### count

67

###### MATH

###### size

39

###### gpa

3.1003216533236415

###### top Share

50.01588968281552

###### count

99

##### 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

##### 1252

###### school

###### size

1333

###### gpa

3.619494049739118

###### top Share

79.71442190500672

###### count

69

###### MATH

###### size

43

###### gpa

3.185692541204979

###### top Share

54.14175342403773

###### count

74

##### 1262

###### school

###### size

1320

###### gpa

3.628825763035853

###### top Share

80.21118846327654

###### count

70

###### MATH

###### size

43

###### gpa

3.2481769276584003

###### top Share

56.325967864851854

###### count

81

## instructor Trends

```json
[
  {
    "uid": "instructor_12d87346f1e3d02a2dacf52c",
    "name": "XIANGHONG GONG",
    "count": 87,
    "terms": [
      {
        "term": "1092",
        "count": 9,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1102",
        "count": 6,
        "sections": 1,
        "gpa": 3.6666666666666665
      },
      {
        "term": "1132",
        "count": 8,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1162",
        "count": 12,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1182",
        "count": 12,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1192",
        "count": 13,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1232",
        "count": 10,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1242",
        "count": 9,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1262",
        "count": 8,
        "sections": 1,
        "gpa": 3.9375
      }
    ]
  },
  {
    "uid": "instructor_f00d358fd7c1650bfb3e8b33",
    "name": "ALEXANDER NAGEL",
    "count": 30,
    "terms": [
      {
        "term": "1082",
        "count": 17,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1112",
        "count": 13,
        "sections": 1,
        "gpa": 4
      }
    ]
  },
  {
    "uid": "instructor_7d24ffb9e92a280f073bd9d1",
    "name": "ALEXEI POLTORATSKI",
    "count": 18,
    "terms": [
      {
        "term": "1222",
        "count": 10,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1252",
        "count": 8,
        "sections": 1,
        "gpa": 4
      }
    ]
  },
  {
    "uid": "instructor_3584679bc66cd68602ec043d",
    "name": "JEAN-PIERRE ROSAY",
    "count": 9,
    "terms": [
      {
        "term": "1072",
        "count": 9,
        "sections": 1,
        "gpa": 4
      }
    ]
  },
  {
    "uid": "instructor_192e932c9d86d7d925e021f3",
    "name": "ANDREW ZIMMER",
    "count": 7,
    "terms": [
      {
        "term": "1212",
        "count": 7,
        "sections": 1,
        "gpa": 4
      }
    ]
  }
]
```

## following

None recorded.
