# MATH 444: Graphs and Networks in Data Science | UW–Madison

[View on UW Courses](https://uwcourses.com/courses/MATH_444)

## Dataset

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

### repository

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### schema version

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### importer version

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### built at

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### term

1272

### departments

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| PATH-BIO  | 29    |
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| PHARMACY  | 31    |
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| PORTUG    | 33    |
| PSYCH     | 101   |
| PSYCHIAT  | 22    |
| PUBAFFR   | 54    |
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| RADIOL    | 11    |
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| RELIGST   | 90    |
| RHABMED   | 9     |
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| RP\&SE    | 102   |
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| SURGSCI   | 33    |
| THEATRE   | 91    |
| URBRPL    | 60    |
| UROLOGY   | 5     |
| ZOOLOGY   | 89    |

## 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 444

### course uid

course\_8b31dcae72f6377cdea586b3

### catalog version id

a3630f0f606541e2694a45addc0a899be2e148fe5c5cf48e0f31e9fd6047b03c

### course number

444

### subjects

* MATH

### title

GRAPHS AND NETWORKS IN DATA SCIENCE

### description

Mathematical foundations of networks with an emphasis on their applications in modern data science, using tools from algorithmic graph theory and linear algebra. Topics include: basics of graph theory, network statistics, graph traversal algorithms and implementation, matrix methods, community detection, PageRank, simulation of random graph models.

### requirements text

(MATH 320,340,341,345, or375) and (COMP SCI 200,220,300,310, or placement intoCOMP SCI 300), graduate/professional standing, or declared in Mathematics VISP (undergraduate or graduate)

### 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

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### llm task version

14

### llm search status

valid

### llm summary

Covers mathematical foundations of networks, graph theory, and linear algebra for data science applications.

### llm topics

* Graph theory and network statistics
* Graph algorithms, matrix methods, and simulation

### llm skills

* Applying graph theory and linear algebra to data science
* Implementing graph algorithms and network analysis techniques

### llm assumed background

* Linear algebra and matrix methods
* Programming and algorithmic problem solving

### llm search phrases

* graph theory data science
* network analysis linear algebra
* PageRank algorithm course
* community detection algorithms
* random graph models simulation

### llm requirements status

valid

### llm student summary status

valid

### llm experience status

valid

### catalog variants

None recorded.

### student summary

#### context hash

07d365c30392f4444a1deff368b0eb95358ea1fcafdad9a5bedf7de797c4f7aa

#### course id

MATH 444

#### current instructors

None recorded.

#### difficulty workload

Historical reviews of Hanbaek Lyu: Tests are challenging but manageable for students who study and work consistently throughout the course.

```json
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```

#### errors

None recorded.

#### historical context

Historical reviews for Hanbaek Lyu describe him as caring and supportive of student learning. He is noted for flexibility with homework deadlines, though tests are challenging and require consistent study.

```json
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```

#### offered

false

#### profile hash

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#### quick take

Historical reviews for Hanbaek Lyu describe an engaging instructor who prioritizes student learning and offers flexible deadlines, though exams require consistent study.

```json
{
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```

Recent recorded grades — Fall 2023: 3.75 GPA, 80.0% A/AB (n=20 letter grades); Spring 2025: 3.52 GPA, 57.1% A/AB (n=63 letter grades); Spring 2026: 2.97 GPA, 40.6% A/AB (n=69 letter grades).

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#### student experience

Historical reviews of Hanbaek Lyu: Reviewers appreciate the instructor's care for student learning and the frequent homework extensions, noting that tests are insightful.

```json
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#### task hash

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#### teaching history

HANBAEK LYU is recorded teaching in Fall 2023, Spring 2025. Recorded history may be incomplete and does not establish a future schedule.

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#### term id

1272

#### term name

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#### 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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### grades

```json
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  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 444",
    "course_uid": "course_8b31dcae72f6377cdea586b3",
    "term_id": "1242",
    "term_name": "Fall 2023",
    "instructors": [
      "HANBAEK LYU"
    ],
    "a": 15,
    "ab": 1,
    "b": 3,
    "bc": 1,
    "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": 20,
    "source_aliases": [
      "MATH 444"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 444",
    "course_uid": "course_8b31dcae72f6377cdea586b3",
    "term_id": "1254",
    "term_name": "Spring 2025",
    "instructors": [
      "HANBAEK LYU"
    ],
    "a": 30,
    "ab": 6,
    "b": 26,
    "bc": 1,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 1,
    "other": 0,
    "total": 64,
    "source_aliases": [
      "MATH 444"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 444",
    "course_uid": "course_8b31dcae72f6377cdea586b3",
    "term_id": "1264",
    "term_name": "Spring 2026",
    "instructors": [
      "HAIXIAO WANG"
    ],
    "a": 21,
    "ab": 7,
    "b": 21,
    "bc": 5,
    "c": 6,
    "d": 9,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 69,
    "source_aliases": [
      "MATH 444"
    ]
  }
]
```

### statistics

#### gpa

3.299

#### graded

152

#### counts

* 66
* 14
* 50
* 7
* 6
* 9
* 0

### grade conflicts

None recorded.

### evidence

#### history

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course\_8b31dcae72f6377cdea586b3-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_8b31dcae72f6377cdea586b3-0.json)

#### traces

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_8b31dcae72f6377cdea586b3-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_8b31dcae72f6377cdea586b3-0.json)

#### reviews

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course\_8b31dcae72f6377cdea586b3-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_8b31dcae72f6377cdea586b3-0.json)

#### results

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_8b31dcae72f6377cdea586b3-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_8b31dcae72f6377cdea586b3-0.json)

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

## context

### all

#### term



#### gpa

3.299342105263158

#### count

152

#### university

##### size

2689

##### gpa Percentile

13

##### count Percentile

72

##### median Count

80

##### 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 | 2     | false   |
| 2.4–2.8 | 13    | false   |
| 2.8–3.2 | 205   | false   |
| 3.2–3.6 | 703   | true    |
| 3.6–4.0 | 1766  | false   |

#### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 78,
      "gpaPercentile": 43,
      "countPercentile": 65,
      "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": 1,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 4,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 22,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 30,
          "current": true
        },
        {
          "range": "3.6–4.0",
          "count": 21,
          "current": false
        }
      ]
    }
  }
]
```

### terms

#### 1242

##### term

1242

##### gpa

3.75

##### count

20

##### departments

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

#### 1254

##### term

1254

##### gpa

3.515873015873016

##### count

63

##### university

###### size

1289

###### gpa Percentile

33

###### count Percentile

47

###### 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 | 0     | false   |
| 2.4–2.8 | 17    | false   |
| 2.8–3.2 | 128   | false   |
| 3.2–3.6 | 379   | true    |
| 3.6–4.0 | 765   | false   |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 39,
      "gpaPercentile": 84,
      "countPercentile": 32,
      "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": 6,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 16,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 13,
          "current": true
        },
        {
          "range": "3.6–4.0",
          "count": 4,
          "current": false
        }
      ]
    }
  }
]
```

#### 1264

##### term

1264

##### gpa

2.971014492753623

##### count

69

##### university

###### size

1283

###### gpa Percentile

4

###### count Percentile

51

###### 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    | false   |
| 2.8–3.2 | 130   | true    |
| 3.2–3.6 | 343   | false   |
| 3.6–4.0 | 789   | false   |

##### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 42,
      "gpaPercentile": 29,
      "countPercentile": 44,
      "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": false
        },
        {
          "range": "2.8–3.2",
          "count": 17,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 11,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 6,
          "current": false
        }
      ]
    }
  }
]
```

### benchmarks

#### all

##### school

###### size

2689

###### gpa

3.6640660757454966

###### top Share

82.40048127119124

###### count

80

##### MATH

###### size

78

###### gpa

3.3850578968486085

###### top Share

65.80921467745247

###### count

75

#### terms

##### 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

##### 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
[
  {
    "uid": "instructor_11da40ed2a2bb6d06bf52104",
    "name": "HANBAEK LYU",
    "count": 83,
    "terms": [
      {
        "term": "1242",
        "count": 20,
        "sections": 1,
        "gpa": 3.75
      },
      {
        "term": "1254",
        "count": 63,
        "sections": 1,
        "gpa": 3.515873015873016
      }
    ]
  },
  {
    "uid": "instructor_bfe4af4185f03aa74bee4a38",
    "name": "HAIXIAO WANG",
    "count": 69,
    "terms": [
      {
        "term": "1264",
        "count": 69,
        "sections": 1,
        "gpa": 2.971014492753623
      }
    ]
  }
]
```

## following

None recorded.
