# MATH 827: Fourier Analysis | UW–Madison

[View on UW Courses](https://uwcourses.com/courses/MATH_827)

## Dataset

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## course

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### course number

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### subjects

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### title

FOURIER ANALYSIS

### description

Introduction to Fourier analysis in Euclidean spaces and related topics that may include singular and oscillatory integrals and trigonometric series.

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### llm summary

MATH 827 introduces Fourier analysis in Euclidean spaces, covering singular and oscillatory integrals and trigonometric series.

### llm topics

* Fourier analysis in Euclidean spaces
* Singular and oscillatory integrals
* Trigonometric series

### llm skills

* Fourier analysis in Euclidean spaces
* Analysis of singular and oscillatory integrals
* Study of trigonometric series

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* singular integrals
* oscillatory integrals
* trigonometric series

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Recent recorded grades — Fall 2022: 4.00 GPA, 100.0% A/AB (n=29 letter grades); Fall 2023: 3.79 GPA, 83.3% A/AB (n=12 letter grades); Fall 2024: 4.00 GPA, 100.0% A/AB (n=17 letter grades).

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      "SERGUEI DENISSOV"
    ],
    "a": 9,
    "ab": 1,
    "b": 2,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 12,
    "source_aliases": [
      "MATH 827"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 827",
    "course_uid": "course_cdb2f6a55df87d2cd0e536d7",
    "term_id": "1252",
    "term_name": "Fall 2024",
    "instructors": [
      "Andreas Seeger"
    ],
    "a": 17,
    "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": 17,
    "source_aliases": [
      "MATH 827"
    ]
  }
]
```

### statistics

#### gpa

3.966

#### graded

276

#### counts

* 266
* 1
* 9
* 0
* 0
* 0
* 0

### grade conflicts

None recorded.

### evidence

#### history

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course\_cdb2f6a55df87d2cd0e536d7-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_cdb2f6a55df87d2cd0e536d7-0.json)

#### traces

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_cdb2f6a55df87d2cd0e536d7-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_cdb2f6a55df87d2cd0e536d7-0.json)

#### results

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_cdb2f6a55df87d2cd0e536d7-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_cdb2f6a55df87d2cd0e536d7-0.json)

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

## context

### all

#### term



#### gpa

3.9655797101449277

#### count

276

#### university

##### size

3941

##### gpa Percentile

88

##### count Percentile

61

##### median Count

182

##### 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 | 12    | false   |
| 2.8–3.2 | 331   | false   |
| 3.2–3.6 | 1152  | false   |
| 3.6–4.0 | 2445  | true    |

#### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 91,
      "gpaPercentile": 81,
      "countPercentile": 49,
      "medianCount": 280,
      "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": 31,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 15,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 42,
          "current": true
        }
      ]
    }
  }
]
```

### terms

#### 1072

##### term

1072

##### gpa

4

##### count

9

##### departments

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

#### 1082

##### term

1082

##### gpa

4

##### count

6

##### departments

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

#### 1092

##### term

1092

##### gpa

3.7777777777777777

##### count

9

##### departments

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

#### 1102

##### term

1102

##### gpa

3.7058823529411766

##### count

17

##### departments

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

#### 1112

##### term

1112

##### gpa

4

##### count

14

##### departments

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

#### 1122

##### term

1122

##### gpa

4

##### count

19

##### departments

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

#### 1132

##### term

1132

##### gpa

4

##### count

13

##### departments

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

#### 1142

##### term

1142

##### gpa

4

##### count

22

##### departments

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

#### 1152

##### term

1152

##### gpa

4

##### count

24

##### departments

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

#### 1162

##### term

1162

##### gpa

4

##### count

14

##### departments

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

#### 1172

##### term

1172

##### gpa

4

##### count

19

##### departments

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

#### 1182

##### term

1182

##### gpa

4

##### count

9

##### departments

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

#### 1202

##### term

1202

##### gpa

4

##### count

21

##### departments

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

#### 1212

##### term

1212

##### gpa

4

##### count

10

##### departments

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

#### 1222

##### term

1222

##### gpa

4

##### count

12

##### departments

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

#### 1232

##### term

1232

##### gpa

4

##### count

29

##### departments

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

#### 1242

##### term

1242

##### gpa

3.7916666666666665

##### count

12

##### departments

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

#### 1252

##### term

1252

##### gpa

4

##### count

17

##### departments

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

### benchmarks

#### all

##### school

###### size

3941

###### gpa

3.645875830967121

###### top Share

81.04896571429467

###### count

182

##### MATH

###### size

91

###### gpa

3.481397887917167

###### top Share

71.35840347211052

###### count

280

#### 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

##### 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

## instructor Trends

```json
[
  {
    "uid": "instructor_7a8fcd1dc53300aa83aa6f2b",
    "name": "ANDREAS SEEGER",
    "count": 88,
    "terms": [
      {
        "term": "1102",
        "count": 17,
        "sections": 1,
        "gpa": 3.7058823529411766
      },
      {
        "term": "1122",
        "count": 19,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1162",
        "count": 14,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1182",
        "count": 9,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1222",
        "count": 12,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1252",
        "count": 17,
        "sections": 1,
        "gpa": 4
      }
    ]
  },
  {
    "uid": "instructor_f3eee5c71b9825c49d9eb0c0",
    "name": "LINDSAY STOVALL",
    "count": 43,
    "terms": [
      {
        "term": "1142",
        "count": 22,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1202",
        "count": 21,
        "sections": 1,
        "gpa": 4
      }
    ]
  },
  {
    "uid": "instructor_c0289d403f78c76ec800e7ea",
    "name": "BRIAN STREET",
    "count": 42,
    "terms": [
      {
        "term": "1132",
        "count": 13,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1232",
        "count": 29,
        "sections": 1,
        "gpa": 4
      }
    ]
  },
  {
    "uid": "instructor_e930b3f6ec9d1140d6f286c3",
    "name": "SERGUEI DENISSOV",
    "count": 40,
    "terms": [
      {
        "term": "1092",
        "count": 9,
        "sections": 1,
        "gpa": 3.7777777777777777
      },
      {
        "term": "1172",
        "count": 19,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1242",
        "count": 12,
        "sections": 1,
        "gpa": 3.7916666666666665
      }
    ]
  },
  {
    "uid": "instructor_97cfaac19f70f97de87d2fbb",
    "name": "BRIAN COOK",
    "count": 24,
    "terms": [
      {
        "term": "1152",
        "count": 24,
        "sections": 1,
        "gpa": 4
      }
    ]
  },
  {
    "uid": "instructor_6713a085666d3a58ddb10aba",
    "name": "STEPHEN WAINGER",
    "count": 23,
    "terms": [
      {
        "term": "1072",
        "count": 9,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1112",
        "count": 14,
        "sections": 1,
        "gpa": 4
      }
    ]
  },
  {
    "uid": "instructor_c71686b20443ece4d26594c5",
    "name": "SHAOMING GUO",
    "count": 10,
    "terms": [
      {
        "term": "1212",
        "count": 10,
        "sections": 1,
        "gpa": 4
      }
    ]
  },
  {
    "uid": "instructor_7aadb2ffbe71ace8f656f8f6",
    "name": "ALEXANDER KISELEV",
    "count": 6,
    "terms": [
      {
        "term": "1082",
        "count": 6,
        "sections": 1,
        "gpa": 4
      }
    ]
  }
]
```

## following

None recorded.
