# MATH 623: Complex Analysis | UW–Madison

[View on UW Courses](https://uwcourses.com/courses/MATH_623)

## Dataset

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

### repository

twangodev/uwcourses

### schema version

6

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7

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### built at

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### current instructors

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false

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### term

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### departments

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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

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### course id

MATH 623

### course uid

course\_1351409acfb0d317ef52fedf

### catalog version id

a1d70b1c5bb0c2fdcde9ea2d6facc99e5828c54a1fb5a141ce1b1bde17f68cf4

### course number

623

### subjects

* MATH

### title

COMPLEX ANALYSIS

### description

Elementary functions of a complex variable; conformal mapping; complex integrals; the calculus of residues.

### requirements text

MATH 321or521or 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

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### llm model

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### llm model revision

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### llm task version

14

### llm search status

valid

### llm summary

MATH 623 is a Complex Analysis course covering elementary complex functions, conformal mapping, complex integrals, and the calculus of residues.

### llm topics

* Elementary functions of a complex variable
* Conformal mapping
* Complex integrals
* The calculus of residues

### llm skills

* Understanding elementary complex functions, conformal mapping, complex integrals, and the calculus of residues.

### llm assumed background

* Prerequisite knowledge in complex analysis and real analysis/topology.

### llm search phrases

* complex analysis course
* MATH 623 prerequisites
* conformal mapping course
* residue theorem course

### llm requirements status

valid

### llm student summary status

valid

### llm experience status

valid

### catalog variants

None recorded.

### student summary

#### context hash

31d8953675e866a6ff070d667e98fe9c383d687be81fa1bc5e70648bdc372f25

#### course id

MATH 623

#### current instructors

None recorded.

#### difficulty workload

Historical reviews of Betsy (Lindsay) Stovall: The workload is high due to proof-heavy lectures and exams featuring novel questions, requiring extensive reading to develop a deeper understanding.

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#### errors

None recorded.

#### historical context

Historical reviews of Betsy (Lindsay) Stovall: Betsy (Lindsay) Stovall provides elegant explanations of intricate concepts and is accessible outside class. Her proof-heavy lectures require significant independent reading to develop understanding, and her office hours are helpful for students.

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#### offered

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#### profile hash

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#### quick take

Historical reviews of Betsy (Lindsay) Stovall: Betsy Stovall provides elegant explanations and is generous, though the course is proof-heavy and requires significant independent reading to understand intricate concepts.

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Recent recorded grades — Fall 2023: 3.60 GPA, 85.0% A/AB (n=20 letter grades); Fall 2024: 3.51 GPA, 74.3% A/AB (n=35 letter grades); Fall 2025: 3.32 GPA, 50.0% A/AB (n=30 letter grades).

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#### student experience

Historical reviews of Betsy (Lindsay) Stovall: Students find Stovall accessible outside of class, noting that her office hours are helpful for addressing course material.

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#### task hash

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#### teaching history

SERGUEI DENISSOV is recorded teaching in Fall 2017. Recorded history may be incomplete and does not establish a future schedule.

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#### term id

1272

#### term name

2026 Fall

#### version

2

### requirements

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#### notes

None recorded.

#### root

n0

#### status

parsed

### instructors

None recorded.

### offerings

None recorded.

### sections

None recorded.

### grade instructors

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    "grade_statistics": {
      "gpa": 3.236,
      "graded": 571,
      "counts": [
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      "sections": 23
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  }
]
```

### grades

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    "source_aliases": [
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    "course_uid": "course_1351409acfb0d317ef52fedf",
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    ],
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    "source_aliases": [
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  {
    "run_id": "20260907T155543-ce3781c4",
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  {
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    "course_uid": "course_1351409acfb0d317ef52fedf",
    "term_id": "1262",
    "term_name": "Fall 2025",
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    ],
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    "source_aliases": [
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]
```

### statistics

#### gpa

3.43

#### graded

327

#### counts

* 157
* 57
* 76
* 14
* 14
* 3
* 6

### grade conflicts

None recorded.

### evidence

#### history

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course\_1351409acfb0d317ef52fedf-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_1351409acfb0d317ef52fedf-0.json)

#### traces

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_1351409acfb0d317ef52fedf-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_1351409acfb0d317ef52fedf-0.json)

#### reviews

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course\_1351409acfb0d317ef52fedf-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_1351409acfb0d317ef52fedf-0.json)

#### results

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_1351409acfb0d317ef52fedf-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_1351409acfb0d317ef52fedf-0.json)

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

## context

### all

#### term



#### gpa

3.429663608562691

#### count

327

#### university

##### size

4146

##### gpa Percentile

21

##### count Percentile

64

##### median Count

193

##### 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 | 326   | false   |
| 3.2–3.6 | 1185  | true    |
| 3.6–4.0 | 2625  | false   |

#### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 97,
      "gpaPercentile": 44,
      "countPercentile": 53,
      "medianCount": 297,
      "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": 31,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 16,
          "current": true
        },
        {
          "range": "3.6–4.0",
          "count": 48,
          "current": false
        }
      ]
    }
  }
]
```

### terms

#### 1072

##### term

1072

##### gpa

3.75

##### count

6

##### departments

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

#### 1082

##### term

1082

##### gpa

3.4

##### count

15

##### departments

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

#### 1092

##### term

1092

##### gpa

3.2777777777777777

##### count

9

##### departments

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

#### 1102

##### term

1102

##### gpa

3.1363636363636362

##### count

11

##### departments

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

#### 1112

##### term

1112

##### gpa

3.375

##### count

16

##### departments

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

#### 1122

##### term

1122

##### gpa

3.090909090909091

##### count

11

##### departments

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

#### 1132

##### term

1132

##### gpa

3.4545454545454546

##### count

11

##### departments

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

#### 1142

##### term

1142

##### gpa

3.2142857142857144

##### count

14

##### departments

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

#### 1152

##### term

1152

##### gpa

3.78125

##### count

16

##### departments

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

#### 1162

##### term

1162

##### gpa

3.3181818181818183

##### count

11

##### departments

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

#### 1172

##### term

1172

##### gpa

3

##### count

8

##### departments

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

#### 1182

##### term

1182

##### gpa

3.263157894736842

##### count

19

##### departments

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

#### 1192

##### term

1192

##### gpa

3.56

##### count

25

##### departments

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

#### 1202

##### term

1202

##### gpa

3.909090909090909

##### count

11

##### departments

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

#### 1212

##### term

1212

##### gpa

3.409090909090909

##### count

22

##### departments

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

#### 1222

##### term

1222

##### gpa

3.59375

##### count

16

##### departments

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

#### 1232

##### term

1232

##### gpa

3.380952380952381

##### count

21

##### departments

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

#### 1242

##### term

1242

##### gpa

3.6

##### count

20

##### departments

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

#### 1252

##### term

1252

##### gpa

3.5142857142857142

##### count

35

##### university

###### size

1333

###### gpa Percentile

33

###### count Percentile

11

###### 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   | false   |
| 3.2–3.6 | 431   | true    |
| 3.6–4.0 | 773   | false   |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 43,
      "gpaPercentile": 90,
      "countPercentile": 10,
      "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": false
        },
        {
          "range": "3.2–3.6",
          "count": 16,
          "current": true
        },
        {
          "range": "3.6–4.0",
          "count": 2,
          "current": false
        }
      ]
    }
  }
]
```

#### 1262

##### term

1262

##### gpa

3.316666666666667

##### count

30

##### university

###### size

1320

###### gpa Percentile

17

###### count Percentile

0

###### 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": 60,
      "countPercentile": 0,
      "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
        }
      ]
    }
  }
]
```

### benchmarks

#### all

##### school

###### size

4146

###### gpa

3.655576857310451

###### top Share

81.61127984016484

###### count

193

##### MATH

###### size

97

###### gpa

3.5110850672888794

###### top Share

72.940720357223

###### count

297

#### 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

##### 1142

###### school

###### size

853

###### gpa

3.3941849959684913

###### top Share

65.28450334228523

###### count

67

###### MATH

###### size

31

###### gpa

3.009040780059457

###### top Share

45.87481076818359

###### count

77

##### 1152

###### school

###### size

918

###### gpa

3.408733538594633

###### top Share

66.06693005846735

###### count

65

###### MATH

###### size

34

###### gpa

3.0803080141506425

###### top Share

49.72677618758506

###### count

82

##### 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

##### 1172

###### school

###### size

991

###### gpa

3.465129042641772

###### top Share

69.42600667567366

###### count

67

###### MATH

###### size

36

###### gpa

3.098601909983034

###### top Share

48.67573746500224

###### count

66

##### 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

##### 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

##### 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_f3eee5c71b9825c49d9eb0c0",
    "name": "LINDSAY STOVALL",
    "count": 57,
    "terms": [
      {
        "term": "1222",
        "count": 16,
        "sections": 1,
        "gpa": 3.59375
      },
      {
        "term": "1232",
        "count": 21,
        "sections": 1,
        "gpa": 3.380952380952381
      },
      {
        "term": "1242",
        "count": 20,
        "sections": 1,
        "gpa": 3.6
      }
    ]
  },
  {
    "uid": "instructor_c169539ae6abe548e11c4b24",
    "name": "TERRY HARRIS",
    "count": 35,
    "terms": [
      {
        "term": "1252",
        "count": 35,
        "sections": 1,
        "gpa": 3.5142857142857142
      }
    ]
  },
  {
    "uid": "instructor_a90e0e9d05b7ff1c16715b36",
    "name": "HANLONG FANG",
    "count": 33,
    "terms": [
      {
        "term": "1202",
        "count": 11,
        "sections": 1,
        "gpa": 3.909090909090909
      },
      {
        "term": "1212",
        "count": 22,
        "sections": 1,
        "gpa": 3.409090909090909
      }
    ]
  },
  {
    "uid": "instructor_7d24ffb9e92a280f073bd9d1",
    "name": "ALEXEI POLTORATSKI",
    "count": 30,
    "terms": [
      {
        "term": "1262",
        "count": 30,
        "sections": 1,
        "gpa": 3.316666666666667
      }
    ]
  },
  {
    "uid": "instructor_7a8fcd1dc53300aa83aa6f2b",
    "name": "ANDREAS SEEGER",
    "count": 27,
    "terms": [
      {
        "term": "1132",
        "count": 11,
        "sections": 1,
        "gpa": 3.4545454545454546
      },
      {
        "term": "1152",
        "count": 16,
        "sections": 1,
        "gpa": 3.78125
      }
    ]
  },
  {
    "uid": "instructor_c7bf8814d65e8fcb745e210e",
    "name": "RUIXIANG ZHANG",
    "count": 25,
    "terms": [
      {
        "term": "1192",
        "count": 25,
        "sections": 1,
        "gpa": 3.56
      }
    ]
  },
  {
    "uid": "instructor_3584679bc66cd68602ec043d",
    "name": "JEAN-PIERRE ROSAY",
    "count": 24,
    "terms": [
      {
        "term": "1082",
        "count": 15,
        "sections": 1,
        "gpa": 3.4
      },
      {
        "term": "1092",
        "count": 9,
        "sections": 1,
        "gpa": 3.2777777777777777
      }
    ]
  },
  {
    "uid": "instructor_efa173a2f128e287477fb6c3",
    "name": "ANDREJ ZLATOS",
    "count": 22,
    "terms": [
      {
        "term": "1122",
        "count": 11,
        "sections": 1,
        "gpa": 3.090909090909091
      },
      {
        "term": "1162",
        "count": 11,
        "sections": 1,
        "gpa": 3.3181818181818183
      }
    ]
  },
  {
    "uid": "instructor_e930b3f6ec9d1140d6f286c3",
    "name": "SERGUEI DENISSOV",
    "count": 19,
    "terms": [
      {
        "term": "1182",
        "count": 19,
        "sections": 1,
        "gpa": 3.263157894736842
      }
    ]
  },
  {
    "uid": "instructor_4f5eee4a2d73c8a88c1fb341",
    "name": "FLORIAN BERTRAND",
    "count": 16,
    "terms": [
      {
        "term": "1112",
        "count": 16,
        "sections": 1,
        "gpa": 3.375
      }
    ]
  },
  {
    "uid": "instructor_58bf726edd9f064af2b03475",
    "name": "KYUDONG CHOI",
    "count": 14,
    "terms": [
      {
        "term": "1142",
        "count": 14,
        "sections": 1,
        "gpa": 3.2142857142857144
      }
    ]
  },
  {
    "uid": "instructor_90a7724b3066e84aa7c1838f",
    "name": "FEDOR NAZAROV",
    "count": 11,
    "terms": [
      {
        "term": "1102",
        "count": 11,
        "sections": 1,
        "gpa": 3.1363636363636362
      }
    ]
  },
  {
    "uid": "instructor_12d87346f1e3d02a2dacf52c",
    "name": "XIANGHONG GONG",
    "count": 8,
    "terms": [
      {
        "term": "1172",
        "count": 8,
        "sections": 1,
        "gpa": 3
      }
    ]
  },
  {
    "uid": "instructor_38e87a02c8bc1f975de3d3b8",
    "name": "ANATOLE BECK",
    "count": 6,
    "terms": [
      {
        "term": "1072",
        "count": 6,
        "sections": 1,
        "gpa": 3.75
      }
    ]
  }
]
```

## following

None recorded.
