# MATH 322: Applied Mathematical Analysis 2: Partial Differential Equations | UW–Madison

[View on UW Courses](https://uwcourses.com/courses/MATH_322)

## Dataset

### revision

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1272

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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 322

### course uid

course\_82c0e2f81301acacf0a46a15

### catalog version id

ad763d9114192957a1b3ee668cd52040ce8941c9e25914e9745d450d9ed1115d

### course number

322

### subjects

* MATH

### title

APPLIED MATHEMATICAL ANALYSIS 2: PARTIAL DIFFERENTIAL EQUATIONS

### description

Sturm-Liouville theory; Fourier series, including mean convergence; initial and boundary value problems for linear second order partial differential equations, including separation of variables and eigenfunction expansions; fundamental solutions and Green's functions in multiple dimensions.

### requirements text

MATH 321,376, or graduate/professional standing

### credit offering ids

None recorded.

### llm job id

enrich-f516c4d3e82cfe326b4f5f54

### llm output id

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### llm model

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

### llm model revision

1355db6a052410cfd62085d94b58866fd0f2c3c5

### llm task version

14

### llm search status

valid

### llm summary

Covers Sturm-Liouville theory, Fourier series, and methods for solving linear second-order partial differential equations including separation of variables and Green's functions.

### llm topics

* Sturm-Liouville theory
* Fourier series and mean convergence
* Initial and boundary value problems for linear second-order PDEs
* Separation of variables and eigenfunction expansions
* Fundamental solutions and Green's functions in multiple dimensions

### llm skills

* Applying Sturm-Liouville theory
* Analyzing Fourier series and mean convergence
* Solving initial and boundary value problems for linear second-order PDEs
* Using separation of variables and eigenfunction expansions
* Constructing fundamental solutions and Green's functions in multiple dimensions

### llm assumed background

* Vector calculus and complex analysis fundamentals
* Multi-variable calculus and introductory differential equations

### llm search phrases

* Sturm-Liouville theory
* Fourier series mean convergence
* partial differential equations separation of variables
* Green's functions multiple dimensions
* eigenfunction expansions

### 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 322

#### current instructors

None recorded.

#### difficulty workload

Historical reviews of Adrian Tudorascu, Saverio Spagnolie: Spagnolie assigns difficult homework and short quizzes worth significant grades, while Tudorascu warns that material builds cumulatively and requires prior knowledge.

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```

#### errors

None recorded.

#### historical context

Historical reviews of Saverio Spagnolie: Saverio Spagnolie is highly praised for kinetic lectures that make difficult content digestible and for being extremely helpful in office hours. Reviewers note that while homework can be difficult, exams are fair and grading is generous. He actively adjusts course difficulty based on student performance and provides comprehensive lecture notes.

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#### offered

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#### profile hash

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#### quick take

Historical reviews of Saverio Spagnolie: Saverio Spagnolie is described as an incredible teacher who makes difficult content digestible through kinetic lectures and is extremely helpful in office hours.

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Recent recorded grades — Fall 2024: 2.93 GPA, 40.9% A/AB (n=22 letter grades); Spring 2025: 2.88 GPA, 52.0% A/AB (n=25 letter grades); Spring 2026: 2.64 GPA, 30.3% A/AB (n=33 letter grades).

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#### student experience

Historical reviews of Leslie Smith, Saverio Spagnolie: Spagnolie offers generous grading and posted notes, while Smith provides well-organized lectures and fair tests without curveballs.

```json
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```

#### task hash

74fb0997943e888960bbc9e47db8c4fd12e4292d55c20509d8d89db6a9910f68

#### teaching history

ADRIAN TUDORASCU is recorded teaching in Spring 2009. Recorded history may be incomplete and does not establish a future schedule.

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```

ANDREJ ZLATOS is recorded teaching in Fall 2010, Spring 2011. Recorded history may be incomplete and does not establish a future schedule.

```json
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```

GERARDO HERNANDEZ-DUENAS is recorded teaching in Spring 2013. Recorded history may be incomplete and does not establish a future schedule.

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```

JEAN-LUC THIFFEAULT is recorded teaching in Fall 2011, Spring 2012, Fall 2013, Spring 2016, Spring 2017, Spring 2018, Fall 2018, Spring 2020. Recorded history may be incomplete and does not establish a future schedule.

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      },
      "table": "section_grades_latest",
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    }
  ]
}
```

LESLIE SMITH is recorded teaching in Fall 2016, Fall 2017, Fall 2022, Spring 2024, Spring 2026. Recorded history may be incomplete and does not establish a future schedule.

```json
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}
```

SAMUEL STECHMANN is recorded teaching in Spring 2019, Fall 2020, Fall 2021, Spring 2023. Recorded history may be incomplete and does not establish a future schedule.

```json
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}
```

SAVERIO SPAGNOLIE is recorded teaching in Fall 2024, Spring 2025. Recorded history may be incomplete and does not establish a future schedule.

```json
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}
```

#### term id

1272

#### term name

2026 Fall

#### version

2

### requirements

#### nodes

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    "id": "n3",
    "kind": "condition"
  }
]
```

#### notes

None recorded.

#### root

n0

#### status

parsed

### instructors

None recorded.

### offerings

None recorded.

### sections

None recorded.

### grade instructors

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    "d": 4,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 2,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 25,
    "source_aliases": [
      "MATH 322"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 322",
    "course_uid": "course_82c0e2f81301acacf0a46a15",
    "term_id": "1204",
    "term_name": "Spring 2020",
    "instructors": [
      "Jean-Luc Thiffeault"
    ],
    "a": 9,
    "ab": 8,
    "b": 7,
    "bc": 3,
    "c": 2,
    "d": 0,
    "f": 0,
    "satisfactory": 16,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 45,
    "source_aliases": [
      "MATH 322"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 322",
    "course_uid": "course_82c0e2f81301acacf0a46a15",
    "term_id": "1212",
    "term_name": "Fall 2020",
    "instructors": [
      "SAMUEL STECHMANN"
    ],
    "a": 5,
    "ab": 1,
    "b": 12,
    "bc": 2,
    "c": 4,
    "d": 0,
    "f": 1,
    "satisfactory": 1,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 26,
    "source_aliases": [
      "MATH 322"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 322",
    "course_uid": "course_82c0e2f81301acacf0a46a15",
    "term_id": "1222",
    "term_name": "Fall 2021",
    "instructors": [
      "SAMUEL STECHMANN"
    ],
    "a": 6,
    "ab": 1,
    "b": 1,
    "bc": 1,
    "c": 2,
    "d": 1,
    "f": 1,
    "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 322"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 322",
    "course_uid": "course_82c0e2f81301acacf0a46a15",
    "term_id": "1224",
    "term_name": "Spring 2022",
    "instructors": [
      "THOMAS CHANDLER"
    ],
    "a": 6,
    "ab": 1,
    "b": 6,
    "bc": 4,
    "c": 2,
    "d": 1,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 20,
    "source_aliases": [
      "MATH 322"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 322",
    "course_uid": "course_82c0e2f81301acacf0a46a15",
    "term_id": "1232",
    "term_name": "Fall 2022",
    "instructors": [
      "Leslie Smith"
    ],
    "a": 4,
    "ab": 0,
    "b": 4,
    "bc": 1,
    "c": 2,
    "d": 2,
    "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 322"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 322",
    "course_uid": "course_82c0e2f81301acacf0a46a15",
    "term_id": "1234",
    "term_name": "Spring 2023",
    "instructors": [
      "SAMUEL STECHMANN"
    ],
    "a": 7,
    "ab": 3,
    "b": 7,
    "bc": 3,
    "c": 4,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 1,
    "not_reported": 0,
    "other": 0,
    "total": 25,
    "source_aliases": [
      "MATH 322"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 322",
    "course_uid": "course_82c0e2f81301acacf0a46a15",
    "term_id": "1242",
    "term_name": "Fall 2023",
    "instructors": [
      "YUKUN YUE"
    ],
    "a": 12,
    "ab": 1,
    "b": 3,
    "bc": 2,
    "c": 0,
    "d": 0,
    "f": 1,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 19,
    "source_aliases": [
      "MATH 322"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 322",
    "course_uid": "course_82c0e2f81301acacf0a46a15",
    "term_id": "1244",
    "term_name": "Spring 2024",
    "instructors": [
      "Leslie Smith"
    ],
    "a": 5,
    "ab": 5,
    "b": 5,
    "bc": 3,
    "c": 1,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 19,
    "source_aliases": [
      "MATH 322"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 322",
    "course_uid": "course_82c0e2f81301acacf0a46a15",
    "term_id": "1252",
    "term_name": "Fall 2024",
    "instructors": [
      "Saverio Spagnolie"
    ],
    "a": 6,
    "ab": 3,
    "b": 7,
    "bc": 0,
    "c": 4,
    "d": 1,
    "f": 1,
    "satisfactory": 1,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 23,
    "source_aliases": [
      "MATH 322"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 322",
    "course_uid": "course_82c0e2f81301acacf0a46a15",
    "term_id": "1254",
    "term_name": "Spring 2025",
    "instructors": [
      "Saverio Spagnolie"
    ],
    "a": 5,
    "ab": 8,
    "b": 5,
    "bc": 0,
    "c": 3,
    "d": 3,
    "f": 1,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 25,
    "source_aliases": [
      "MATH 322"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 322",
    "course_uid": "course_82c0e2f81301acacf0a46a15",
    "term_id": "1264",
    "term_name": "Spring 2026",
    "instructors": [
      "Leslie Smith"
    ],
    "a": 7,
    "ab": 3,
    "b": 10,
    "bc": 1,
    "c": 7,
    "d": 2,
    "f": 3,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 33,
    "source_aliases": [
      "MATH 322"
    ]
  }
]
```

### statistics

#### gpa

3.035

#### graded

847

#### counts

* 257
* 133
* 220
* 69
* 100
* 45
* 23

### grade conflicts

None recorded.

### evidence

#### history

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course\_82c0e2f81301acacf0a46a15-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_82c0e2f81301acacf0a46a15-0.json)

#### traces

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_82c0e2f81301acacf0a46a15-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_82c0e2f81301acacf0a46a15-0.json)

#### reviews

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course\_82c0e2f81301acacf0a46a15-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_82c0e2f81301acacf0a46a15-0.json)

#### results

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_82c0e2f81301acacf0a46a15-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_82c0e2f81301acacf0a46a15-0.json)

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

## context

### all

#### term



#### gpa

3.0354191263282173

#### count

847

#### university

##### size

5683

##### gpa Percentile

2

##### count Percentile

80

##### median Count

237

##### histogram

| range   | count | current |
| ------- | ----- | ------- |
| 0.0–0.4 | 0     | false   |
| 0.4–0.8 | 0     | false   |
| 0.8–1.2 | 0     | false   |
| 1.2–1.6 | 0     | false   |
| 1.6–2.0 | 0     | false   |
| 2.0–2.4 | 0     | false   |
| 2.4–2.8 | 12    | false   |
| 2.8–3.2 | 370   | true    |
| 3.2–3.6 | 1575  | false   |
| 3.6–4.0 | 3726  | false   |

#### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 136,
      "gpaPercentile": 14,
      "countPercentile": 76,
      "medianCount": 266,
      "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": 4,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 34,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 23,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 75,
          "current": false
        }
      ]
    }
  }
]
```

### terms

#### 1072

##### term

1072

##### gpa

2.3076923076923075

##### count

13

##### departments

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

#### 1074

##### term

1074

##### gpa

2.9

##### count

20

##### departments

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

#### 1082

##### term

1082

##### gpa

4

##### count

8

##### departments

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

#### 1084

##### term

1084

##### gpa

3.0588235294117645

##### count

17

##### departments

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

#### 1092

##### term

1092

##### gpa

2.7222222222222223

##### count

9

##### departments

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

#### 1094

##### term

1094

##### gpa

3

##### count

13

##### departments

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

#### 1102

##### term

1102

##### gpa

3.263157894736842

##### count

19

##### departments

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

#### 1104

##### term

1104

##### gpa

3.2857142857142856

##### count

21

##### departments

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

#### 1112

##### term

1112

##### gpa

3.7916666666666665

##### count

12

##### departments

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

#### 1114

##### term

1114

##### gpa

3.1666666666666665

##### count

24

##### departments

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

#### 1122

##### term

1122

##### gpa

2.7142857142857144

##### count

14

##### departments

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

#### 1124

##### term

1124

##### gpa

3.1

##### count

30

##### university

###### size

821

###### gpa Percentile

25

###### count Percentile

0

###### 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 | 1     | false   |
| 2.4–2.8 | 39    | false   |
| 2.8–3.2 | 223   | true    |
| 3.2–3.6 | 278   | false   |
| 3.6–4.0 | 280   | false   |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 28,
      "gpaPercentile": 78,
      "countPercentile": 0,
      "medianCount": 75,
      "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": 11,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 12,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 5,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 0,
          "current": false
        }
      ]
    }
  }
]
```

#### 1132

##### term

1132

##### gpa

2.5294117647058822

##### count

17

##### departments

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

#### 1134

##### term

1134

##### gpa

2.8035714285714284

##### count

28

##### departments

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

#### 1142

##### term

1142

##### gpa

3.409090909090909

##### count

22

##### departments

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

#### 1144

##### term

1144

##### gpa

2.935483870967742

##### count

31

##### university

###### size

878

###### gpa Percentile

11

###### count Percentile

2

###### 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 | 4     | false   |
| 2.4–2.8 | 30    | false   |
| 2.8–3.2 | 243   | true    |
| 3.2–3.6 | 302   | false   |
| 3.6–4.0 | 299   | false   |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 30,
      "gpaPercentile": 59,
      "countPercentile": 3,
      "medianCount": 79,
      "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": 6,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 19,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 1,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 2,
          "current": false
        }
      ]
    }
  }
]
```

#### 1152

##### term

1152

##### gpa

3.1842105263157894

##### count

19

##### departments

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

#### 1154

##### term

1154

##### gpa

2.8947368421052633

##### count

19

##### departments

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

#### 1162

##### term

1162

##### gpa

3

##### count

25

##### departments

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

#### 1164

##### term

1164

##### gpa

3.1052631578947367

##### count

19

##### departments

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

#### 1172

##### term

1172

##### gpa

3.1323529411764706

##### count

34

##### university

###### size

991

###### gpa Percentile

20

###### 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 | 0     | false   |
| 2.4–2.8 | 22    | false   |
| 2.8–3.2 | 226   | true    |
| 3.2–3.6 | 353   | false   |
| 3.6–4.0 | 390   | false   |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 36,
      "gpaPercentile": 69,
      "countPercentile": 6,
      "medianCount": 66,
      "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": 4,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 21,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 8,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 3,
          "current": false
        }
      ]
    }
  }
]
```

#### 1174

##### term

1174

##### gpa

3.2432432432432434

##### count

37

##### university

###### size

955

###### gpa Percentile

30

###### count Percentile

13

###### 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 | 1     | false   |
| 2.4–2.8 | 29    | false   |
| 2.8–3.2 | 224   | false   |
| 3.2–3.6 | 332   | true    |
| 3.6–4.0 | 369   | false   |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 32,
      "gpaPercentile": 81,
      "countPercentile": 10,
      "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": 9,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 15,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 5,
          "current": true
        },
        {
          "range": "3.6–4.0",
          "count": 3,
          "current": false
        }
      ]
    }
  }
]
```

#### 1182

##### term

1182

##### gpa

2.783333333333333

##### count

30

##### university

###### size

1025

###### gpa Percentile

2

###### count Percentile

0

###### 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 | 1     | false   |
| 2.4–2.8 | 21    | true    |
| 2.8–3.2 | 216   | false   |
| 3.2–3.6 | 369   | false   |
| 3.6–4.0 | 418   | false   |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 36,
      "gpaPercentile": 9,
      "countPercentile": 0,
      "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": 0,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 5,
          "current": true
        },
        {
          "range": "2.8–3.2",
          "count": 21,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 7,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 3,
          "current": false
        }
      ]
    }
  }
]
```

#### 1184

##### term

1184

##### gpa

3.0142857142857142

##### count

35

##### university

###### size

1010

###### gpa Percentile

11

###### count Percentile

9

###### 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 | 1     | false   |
| 2.4–2.8 | 26    | false   |
| 2.8–3.2 | 210   | true    |
| 3.2–3.6 | 355   | false   |
| 3.6–4.0 | 418   | false   |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 36,
      "gpaPercentile": 51,
      "countPercentile": 9,
      "medianCount": 83.5,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 1,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 7,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 18,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 7,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 3,
          "current": false
        }
      ]
    }
  }
]
```

#### 1192

##### term

1192

##### gpa

3.375

##### count

24

##### departments

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

#### 1194

##### term

1194

##### gpa

2.9285714285714284

##### count

42

##### university

###### size

1040

###### gpa Percentile

6

###### count Percentile

23

###### 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 | 1     | false   |
| 2.4–2.8 | 23    | false   |
| 2.8–3.2 | 220   | true    |
| 3.2–3.6 | 342   | false   |
| 3.6–4.0 | 454   | false   |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 38,
      "gpaPercentile": 35,
      "countPercentile": 22,
      "medianCount": 71.5,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 1,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 6,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 18,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 6,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 7,
          "current": false
        }
      ]
    }
  }
]
```

#### 1202

##### term

1202

##### gpa

2.847826086956522

##### count

23

##### departments

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

#### 1204

##### term

1204

##### gpa

3.3275862068965516

##### count

29

##### departments

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

#### 1212

##### term

1212

##### gpa

2.9

##### count

25

##### departments

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

#### 1222

##### term

1222

##### gpa

2.923076923076923

##### count

13

##### departments

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

#### 1224

##### term

1224

##### gpa

3.025

##### count

20

##### departments

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

#### 1232

##### term

1232

##### gpa

2.8076923076923075

##### count

13

##### departments

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

#### 1234

##### term

1234

##### gpa

3.125

##### count

24

##### departments

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

#### 1242

##### term

1242

##### gpa

3.4473684210526314

##### count

19

##### departments

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

#### 1244

##### term

1244

##### gpa

3.263157894736842

##### count

19

##### departments

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

#### 1252

##### term

1252

##### gpa

2.9318181818181817

##### count

22

##### departments

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

#### 1254

##### term

1254

##### gpa

2.88

##### count

25

##### departments

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

#### 1264

##### term

1264

##### gpa

2.6363636363636362

##### count

33

##### university

###### size

1283

###### gpa Percentile

1

###### count Percentile

7

###### 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": 15,
      "countPercentile": 15,
      "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

5683

###### gpa

3.6696418622347093

###### top Share

82.45922658509237

###### count

237

##### MATH

###### size

136

###### gpa

3.5472738018037298

###### top Share

75.07929890580257

###### count

266

#### 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

##### 1074

###### school

###### size

695

###### gpa

3.3616924722887376

###### top Share

63.22509110105764

###### count

69

###### MATH

###### size

17

###### gpa

2.821339129045922

###### top Share

38.66654769268061

###### count

133

##### 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

##### 1084

###### school

###### size

720

###### gpa

3.3670742938849725

###### top Share

63.42064564712246

###### count

70

###### MATH

###### size

22

###### gpa

2.977459424628873

###### top Share

44.52710820759676

###### count

88.5

##### 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

##### 1094

###### school

###### size

758

###### gpa

3.3891454428111527

###### top Share

64.36369814389255

###### count

71

###### MATH

###### size

19

###### gpa

2.861322177541941

###### top Share

40.26350030907326

###### count

108

##### 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

##### 1104

###### school

###### size

793

###### gpa

3.384661458923085

###### top Share

64.6614752434143

###### count

66

###### MATH

###### size

23

###### gpa

2.9531575824731964

###### top Share

43.549837152646596

###### count

98

##### 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

##### 1114

###### school

###### size

804

###### gpa

3.3696004653806844

###### top Share

64.0389334741844

###### count

68

###### MATH

###### size

26

###### gpa

2.9090822348911582

###### top Share

41.14706210117883

###### count

83.5

##### 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

##### 1124

###### school

###### size

821

###### gpa

3.406589342026613

###### top Share

66.35774230127205

###### count

67

###### MATH

###### size

28

###### gpa

2.9109864595893504

###### top Share

42.40580272314707

###### count

75

##### 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

##### 1134

###### school

###### size

852

###### gpa

3.4138934207568203

###### top Share

66.35946578182744

###### count

66

###### MATH

###### size

26

###### gpa

2.938004331770204

###### top Share

42.318323348030226

###### count

83.5

##### 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

##### 1144

###### school

###### size

878

###### gpa

3.4092443327803017

###### top Share

65.95978235963416

###### count

64

###### MATH

###### size

30

###### gpa

2.926152797086596

###### top Share

42.17363619414386

###### count

79

##### 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

##### 1154

###### school

###### size

935

###### gpa

3.4282378385810093

###### top Share

67.66674668721691

###### count

63

###### MATH

###### size

33

###### gpa

2.9834698949629033

###### top Share

46.71989715257013

###### count

69

##### 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

##### 1164

###### school

###### size

965

###### gpa

3.46491230798535

###### top Share

69.92376287143657

###### count

68

###### MATH

###### size

32

###### gpa

2.995223360849456

###### top Share

46.38098813836469

###### count

83

##### 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

##### 1174

###### school

###### size

955

###### gpa

3.4597947384071412

###### top Share

69.5290038366363

###### count

69

###### MATH

###### size

32

###### gpa

2.992971960864239

###### top Share

44.393513280464695

###### count

89

##### 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

##### 1184

###### school

###### size

1010

###### gpa

3.47925290354517

###### top Share

70.86270937115944

###### count

68

###### MATH

###### size

36

###### gpa

3.0650838986714333

###### top Share

47.42689290604571

###### count

83.5

##### 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

##### 1194

###### school

###### size

1040

###### gpa

3.4906527436719808

###### top Share

71.74728845515045

###### count

67

###### MATH

###### size

38

###### gpa

3.133406260873163

###### top Share

53.17595010634325

###### count

71.5

##### 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

##### 1204

###### school

###### size

1012

###### gpa

3.703747431523761

###### top Share

84.59811226304916

###### count

65.5

###### MATH

###### size

29

###### gpa

3.478717830475146

###### top Share

69.61236805388549

###### count

83

##### 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

##### 1224

###### school

###### size

1171

###### gpa

3.5627882428500937

###### top Share

76.37271640560496

###### count

64

###### MATH

###### size

34

###### gpa

3.1555898753466907

###### top Share

53.444319815085976

###### count

87.5

##### 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

##### 1234

###### school

###### size

1188

###### gpa

3.5799441677552393

###### top Share

77.18256448537606

###### count

65

###### MATH

###### size

41

###### gpa

3.178489266862151

###### top Share

56.06874885619616

###### count

67

##### 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

##### 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
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  {
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      }
    ]
  }
]
```

## following

| code             | title                                                             |
| ---------------- | ----------------------------------------------------------------- |
| COMPSCI/MATH 514 | NUMERICAL ANALYSIS                                                |
| EMA/EP 548       | ENGINEERING ANALYSIS II                                           |
| HISTSCI/MATH 473 | HISTORY OF MATHEMATICS                                            |
| MATH 519         | ORDINARY DIFFERENTIAL EQUATIONS                                   |
| MATH 521         | ANALYSIS I                                                        |
| MATH 535         | MATHEMATICAL METHODS IN DATA SCIENCE                              |
| MATH 561         | DIFFERENTIAL GEOMETRY                                             |
| MATH 616         | DATA-DRIVEN DYNAMICAL SYSTEMS, STOCHASTIC MODELING AND PREDICTION |
| MATH 619         | ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS                        |
