# MATH 776: Model Theory | UW–Madison

[View on UW Courses](https://uwcourses.com/courses/MATH_776)

## Dataset

### revision

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### repository

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### built at

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### term

1272

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## course

### run id

20260907T155543-ce3781c4

### semester

1272

### observed at

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### record version id

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### course id

MATH 776

### course uid

course\_5972d187537e5fafe873b4ec

### catalog version id

34376c35b922aea57e66c606979762b04e76521046f4c8dfbd0341621d1de2b6

### course number

776

### subjects

* MATH

### title

MODEL THEORY

### description

Review of compactness and some consequences. Quantifier elimination with examples. The omitting types theorem. Categoricity. Baldwin-Lachlan theory. Strongly minimal and o-minimal theories. Saturated models. Morley's theorem. Familiarity with the topics in a basic Foundations course such asMATH 770is strongly recommended.

### requirements text

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

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### llm search status

valid

### llm summary

MATH 776 covers advanced model theory topics such as quantifier elimination, categoricity, and Morley's theorem.

### llm topics

* Compactness, quantifier elimination, omitting types, and categoricity.
* Baldwin-Lachlan theory, strongly minimal/o-minimal theories, saturated models, and Morley's theorem.

### llm skills

* Advanced model theory concepts including quantifier elimination, categoricity, and saturated models.

### llm assumed background

* Foundations of Mathematics (MATH 770) topics including first-order logic, compactness, and set theory.

### llm search phrases

* model theory graduate course
* MATH 776 prerequisites
* Baldwin-Lachlan theory
* Morley's theorem course
* omitting types theorem

### 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

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#### current instructors

None recorded.

#### difficulty workload

Historical reviews of Uri Andrews: The course is rated as moderately difficult with a difficulty rating of 3.

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#### errors

None recorded.

#### historical context

Historical reviews for Uri Andrews describe him as energetic and enthusiastic about teaching logic, with entertaining lectures on Model Theory. While he uses corny jokes and t-shirts, reviewers found the experience positive and engaging.

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#### quick take

Historical reviews of Uri Andrews: Uri Andrews delivers entertaining and enthusiastic lectures on Model Theory, though his corny jokes may not appeal to everyone.

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Recent recorded grades — Spring 2018: 3.90 GPA, 100.0% A/AB (n=5 letter grades); Spring 2020: 4.00 GPA, 100.0% A/AB (n=4 letter grades); Spring 2022: 4.00 GPA, 100.0% A/AB (n=6 letter grades).

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#### student experience

Historical reviews of Uri Andrews: Students find the lectures engaging due to the instructor's high energy and enthusiasm for teaching logic.

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#### teaching history

URI ANDREWS is recorded teaching in Spring 2011, Spring 2015, Spring 2016, Spring 2017, Spring 2022. Recorded history may be incomplete and does not establish a future schedule.

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#### term id

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#### term name

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#### version

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### requirements

#### nodes

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#### notes

None recorded.

#### root

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### instructors

None recorded.

### offerings

None recorded.

### sections

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]
```

### grades

```json
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  {
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  {
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    "term_name": "Spring 2022",
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    ],
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      "MATH 776"
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  }
]
```

### statistics

#### gpa

3.912

#### graded

91

#### counts

* 83
* 4
* 2
* 0
* 2
* 0
* 0

### grade conflicts

None recorded.

### evidence

#### history

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course\_5972d187537e5fafe873b4ec-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_5972d187537e5fafe873b4ec-0.json)

#### traces

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_5972d187537e5fafe873b4ec-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_5972d187537e5fafe873b4ec-0.json)

#### reviews

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course\_5972d187537e5fafe873b4ec-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_5972d187537e5fafe873b4ec-0.json)

#### results

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_5972d187537e5fafe873b4ec-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_5972d187537e5fafe873b4ec-0.json)

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

## context

### all

#### term



#### gpa

3.912087912087912

#### count

91

#### university

##### size

3403

##### gpa Percentile

79

##### count Percentile

35

##### median Count

143

##### 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 | 24    | false   |
| 2.8–3.2 | 323   | false   |
| 3.2–3.6 | 1059  | false   |
| 3.6–4.0 | 1997  | true    |

#### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 85,
      "gpaPercentile": 74,
      "countPercentile": 24,
      "medianCount": 198,
      "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": 7,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 25,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 10,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 43,
          "current": true
        }
      ]
    }
  }
]
```

### terms

#### 1074

##### term

1074

##### gpa

3.9444444444444446

##### count

9

##### departments

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

#### 1094

##### term

1094

##### gpa

4

##### count

8

##### departments

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

#### 1104

##### term

1104

##### gpa

3.5

##### count

7

##### departments

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

#### 1114

##### term

1114

##### gpa

4

##### count

7

##### departments

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

#### 1124

##### term

1124

##### gpa

3.4166666666666665

##### count

6

##### departments

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

#### 1144

##### term

1144

##### gpa

4

##### count

9

##### departments

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

#### 1154

##### term

1154

##### gpa

4

##### count

9

##### departments

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

#### 1164

##### term

1164

##### gpa

4

##### count

9

##### departments

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

#### 1174

##### term

1174

##### gpa

4

##### count

12

##### departments

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

#### 1184

##### term

1184

##### gpa

3.9

##### count

5

##### departments

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

#### 1204

##### term

1204

##### gpa

4

##### count

4

##### departments

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

#### 1224

##### term

1224

##### gpa

4

##### count

6

##### departments

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

### benchmarks

#### all

##### school

###### size

3403

###### gpa

3.626136353256965

###### top Share

79.82195291746284

###### count

143

##### MATH

###### size

85

###### gpa

3.4578169544608026

###### top Share

70.74515538605547

###### count

198

#### terms

##### 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

##### 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

##### 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

##### 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

##### 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

##### 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

##### 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

##### 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

##### 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

##### 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

##### 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

##### 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

##### 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

## instructor Trends

```json
[
  {
    "uid": "instructor_94ccac6a4bdcb82edf344586",
    "name": "URI ANDREWS",
    "count": 43,
    "terms": [
      {
        "term": "1114",
        "count": 7,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1154",
        "count": 9,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1164",
        "count": 9,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1174",
        "count": 12,
        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1224",
        "count": 6,
        "sections": 1,
        "gpa": 4
      }
    ]
  },
  {
    "uid": "instructor_cdebe12f82db274ba9d0eda3",
    "name": "STEFFEN LEMPP",
    "count": 18,
    "terms": [
      {
        "term": "1104",
        "count": 7,
        "sections": 1,
        "gpa": 3.5
      },
      {
        "term": "1124",
        "count": 6,
        "sections": 1,
        "gpa": 3.4166666666666665
      },
      {
        "term": "1184",
        "count": 5,
        "sections": 1,
        "gpa": 3.9
      }
    ]
  },
  {
    "uid": "instructor_3779947d73a0dd96a281ef4e",
    "name": "MINGZHONG CAI",
    "count": 9,
    "terms": [
      {
        "term": "1144",
        "count": 9,
        "sections": 1,
        "gpa": 4
      }
    ]
  },
  {
    "uid": "instructor_e56a8336f3ed191004b1b2f5",
    "name": "KENNETH KUNEN",
    "count": 9,
    "terms": [
      {
        "term": "1074",
        "count": 9,
        "sections": 1,
        "gpa": 3.9444444444444446
      }
    ]
  },
  {
    "uid": "instructor_61225c0eff5b70a15f7b6618",
    "name": "ARNOLD W MILLER",
    "count": 8,
    "terms": [
      {
        "term": "1094",
        "count": 8,
        "sections": 1,
        "gpa": 4
      }
    ]
  },
  {
    "uid": "instructor_b5a4c8f9f16457b009638d82",
    "name": "OMER MERMELSTEIN",
    "count": 4,
    "terms": [
      {
        "term": "1204",
        "count": 4,
        "sections": 1,
        "gpa": 4
      }
    ]
  }
]
```

## following

None recorded.
