# COMPSCI/ISYE/MATH 425: Introduction to Combinatorial Optimization | UW–Madison

[View on UW Courses](https://uwcourses.com/courses/COMPSCI_ISYE_MATH_425)

## Dataset

### revision

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### repository

twangodev/uwcourses

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6

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### built at

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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

COMPSCI/ISYE/MATH 425

### course uid

course\_5aa742b184448a57a07564c5

### catalog version id

77a6b3c5d5a40944c29c9b573fa634e4e881d40580df21fb224b3d459cff57fe

### course number

425

### subjects

* COMPSCI
* ISYE
* MATH

### title

INTRODUCTION TO COMBINATORIAL OPTIMIZATION

### description

Focuses on optimization problems over discrete structures, such as shortest paths, spanning trees, flows, matchings, and the traveling salesman problem. We will investigate structural properties of these problems, and we will study both exact methods for their solution, and approximation algorithms.

### requirements text

(MATH 320,340,341, or375) or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program

### credits min

3

### credits max

3

### credit offering ids

* 1272:266:004253
* 1272:490:004253
* 1272:600:004253

### llm job id

enrich-b6d8f78c1be0d523cf09d00d

### 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

Introduction to combinatorial optimization covering exact and approximation algorithms for discrete structures.

### llm topics

* Shortest paths, spanning trees, flows, matchings, and the traveling salesman problem.
* Structural properties of optimization problems.

### llm skills

* Solving discrete optimization problems like shortest paths, flows, and matchings.
* Analyzing structural properties and applying exact and approximation algorithms.

### llm assumed background

* Linear algebra and multivariable calculus fundamentals, including vector spaces, eigenvalues, and matrix operations.

### llm search phrases

* combinatorial optimization algorithms
* discrete structures optimization
* approximation algorithms graph theory
* shortest path spanning tree flow
* traveling salesman problem approximation

### llm requirements status

valid

### llm student summary status

valid

### llm experience status

valid

### catalog variants

None recorded.

### student summary

#### context hash

5f0c6c9bce68d6b47b003b460e278d56cf6d1778192a0ce36276ebdb3a8a6f5e

#### course id

COMPSCI/ISYE/MATH 425

#### current instructors

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    "message": null,
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    "summary": [
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            "review_date": "2024-12-24 17:07:55 +0000 UTC",
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          {
            "instructor_name": "Carla Michini",
            "review_date": "2024-12-28 17:10:21 +0000 UTC",
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            "type": "review"
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        ],
        "text": "Carla Michini is praised for her clear explanations of difficult theoretical concepts and genuine care for students. Reviewers describe her as a solid lecturer who inspires enjoyment of the course material."
      },
      {
        "citations": [
          {
            "instructor_name": "Carla Michini",
            "review_date": "2020-12-07 18:22:31 +0000 UTC",
            "review_id": "ab03fd7f30ca76a0259657ff",
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            "instructor_name": "Carla Michini",
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        "text": "Some students find her lectures difficult to watch and consider the course extremely challenging. One reviewer notes that the in-depth proofs and high grading standards make the class hard for non-elite math majors."
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        "text": "Recent recorded grades — Fall 2023: 3.01 GPA, 45.6% A/AB (n=68 letter grades); Fall 2024: 3.00 GPA, 40.6% A/AB (n=64 letter grades); Fall 2025: 2.90 GPA, 36.5% A/AB (n=63 letter grades)."
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```

#### difficulty workload

Reviewers describe the workload as heavy, with time-consuming homework and brutal exams. The course requires deep knowledge of in-depth proofs, making it challenging for non-elite math majors.

```json
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#### errors

None recorded.

#### historical context

None recorded.

#### offered

true

#### profile hash

e59ddc7389015d0035b68cd195c939d475bf72b959b29cf12eab59b454ccaef1

#### quick take

Carla Michini is praised for clear explanations and student support, though one reviewer found her lectures hard to watch. Experiences range from easy to extremely difficult depending on the student's background.

```json
{
  "citations": [
    {
      "instructor_name": "Carla Michini",
      "review_date": "2020-12-07 18:22:31 +0000 UTC",
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      "source_instructor_id": "rmp:2371667",
      "source_review_id": "UmF0aW5nLTMzOTc0NzMx",
      "source_url": "https://www.ratemyprofessors.com/professor/2371667",
      "type": "review"
    },
    {
      "instructor_name": "Carla Michini",
      "review_date": "2024-01-17 21:51:49 +0000 UTC",
      "review_id": "628c298e85dc7bb52f9fb019",
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    {
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      "source_url": "https://www.ratemyprofessors.com/professor/2371667",
      "type": "review"
    },
    {
      "instructor_name": "Carla Michini",
      "review_date": "2024-12-28 17:10:21 +0000 UTC",
      "review_id": "515f3f6cd3b642cfb7f700df",
      "run_id": "20260907T155543-ce3781c4",
      "source_instructor_id": "rmp:2371667",
      "source_review_id": "UmF0aW5nLTQwNDUxMDIy",
      "source_url": "https://www.ratemyprofessors.com/professor/2371667",
      "type": "review"
    },
    {
      "instructor_name": "Carla Michini",
      "review_date": "2025-12-25 01:55:31 +0000 UTC",
      "review_id": "82b9512174f10d4e5505018c",
      "run_id": "20260907T155543-ce3781c4",
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      "source_url": "https://www.ratemyprofessors.com/professor/2371667",
      "type": "review"
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}
```

Recent recorded grades — Fall 2023: 3.01 GPA, 45.6% A/AB (n=68 letter grades); Fall 2024: 3.00 GPA, 40.6% A/AB (n=64 letter grades); Fall 2025: 2.90 GPA, 36.5% A/AB (n=63 letter grades).

```json
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```

#### student experience

Studying proofs continuously and getting a homework partner can make exams fair and manageable. However, the high grading thresholds and brutal exams are frustrating for some students.

```json
{
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    {
      "instructor_name": "Carla Michini",
      "review_date": "2024-01-17 21:51:49 +0000 UTC",
      "review_id": "628c298e85dc7bb52f9fb019",
      "run_id": "20260907T155543-ce3781c4",
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      "review_date": "2025-12-25 01:55:31 +0000 UTC",
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```

#### task hash

74fb0997943e888960bbc9e47db8c4fd12e4292d55c20509d8d89db6a9910f68

#### teaching history

CARLA MICHINI is recorded teaching in Fall 2018, Fall 2020, Fall 2021, Fall 2023, Fall 2024, Fall 2025. Recorded history may be incomplete and does not establish a future schedule.

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#### term id

1272

#### term name

2026 Fall

#### version

2

### requirements

#### nodes

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```

#### notes

None recorded.

#### root

n0

#### status

parsed

### instructors

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### offerings

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### sections

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    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "COMPSCI/ISYE/MATH 425",
    "course_uid": "course_5aa742b184448a57a07564c5",
    "term_id": "1242",
    "term_name": "Fall 2023",
    "instructors": [
      "Carla Michini"
    ],
    "a": 16,
    "ab": 15,
    "b": 14,
    "bc": 7,
    "c": 13,
    "d": 3,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 1,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 69,
    "source_aliases": [
      "COMPSCI/ISYE/MATH 425"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "COMPSCI/ISYE/MATH 425",
    "course_uid": "course_5aa742b184448a57a07564c5",
    "term_id": "1252",
    "term_name": "Fall 2024",
    "instructors": [
      "Carla Michini"
    ],
    "a": 23,
    "ab": 3,
    "b": 16,
    "bc": 5,
    "c": 13,
    "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": 64,
    "source_aliases": [
      "COMPSCI/ISYE/MATH 425"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "COMPSCI/ISYE/MATH 425",
    "course_uid": "course_5aa742b184448a57a07564c5",
    "term_id": "1262",
    "term_name": "Fall 2025",
    "instructors": [
      "Carla Michini"
    ],
    "a": 16,
    "ab": 7,
    "b": 15,
    "bc": 8,
    "c": 13,
    "d": 3,
    "f": 1,
    "satisfactory": 1,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 64,
    "source_aliases": [
      "COMPSCI/ISYE/MATH 425"
    ]
  }
]
```

### statistics

#### gpa

3.068

#### graded

421

#### counts

* 130
* 68
* 94
* 43
* 64
* 16
* 6

### grade conflicts

None recorded.

### evidence

#### history

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course\_5aa742b184448a57a07564c5-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_5aa742b184448a57a07564c5-0.json)

#### traces

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_5aa742b184448a57a07564c5-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_5aa742b184448a57a07564c5-0.json)

#### reviews

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course\_5aa742b184448a57a07564c5-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/reviews/course_5aa742b184448a57a07564c5-0.json)

#### meetings

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/meetings/course\_5aa742b184448a57a07564c5-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/meetings/course_5aa742b184448a57a07564c5-0.json)

#### results

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_5aa742b184448a57a07564c5-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_5aa742b184448a57a07564c5-0.json)

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

## context

### all

#### term



#### gpa

3.0676959619952493

#### count

421

#### university

##### size

3834

##### gpa Percentile

4

##### count Percentile

81

##### median Count

128

##### 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 | 11    | false   |
| 2.8–3.2 | 313   | true    |
| 3.2–3.6 | 1102  | false   |
| 3.6–4.0 | 2407  | false   |

#### departments

```json
[
  {
    "subject": "COMPSCI",
    "comparison": {
      "size": 93,
      "gpaPercentile": 5,
      "countPercentile": 60,
      "medianCount": 268,
      "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": 0,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 16,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 27,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 50,
          "current": false
        }
      ]
    }
  },
  {
    "subject": "ISYE",
    "comparison": {
      "size": 50,
      "gpaPercentile": 2,
      "countPercentile": 80,
      "medianCount": 167,
      "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": 0,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 4,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 11,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 35,
          "current": false
        }
      ]
    }
  },
  {
    "subject": "MATH",
    "comparison": {
      "size": 94,
      "gpaPercentile": 18,
      "countPercentile": 71,
      "medianCount": 144.5,
      "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": 0,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 3,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 23,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 24,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 44,
          "current": false
        }
      ]
    }
  }
]
```

### terms

#### 1074

##### term

1074

##### gpa

3.391304347826087

##### count

23

##### departments

| subject | comparison |
| ------- | ---------- |
| COMPSCI |            |
| ISYE    |            |
| MATH    |            |

#### 1084

##### term

1084

##### gpa

3.5555555555555554

##### count

18

##### departments

| subject | comparison |
| ------- | ---------- |
| COMPSCI |            |
| ISYE    |            |
| MATH    |            |

#### 1162

##### term

1162

##### gpa

2.7222222222222223

##### count

18

##### departments

| subject | comparison |
| ------- | ---------- |
| COMPSCI |            |
| ISYE    |            |
| MATH    |            |

#### 1172

##### term

1172

##### gpa

3.185185185185185

##### count

27

##### departments

| subject | comparison |
| ------- | ---------- |
| COMPSCI |            |
| ISYE    |            |
| MATH    |            |

#### 1192

##### term

1192

##### gpa

2.9583333333333335

##### count

36

##### university

###### size

1077

###### gpa Percentile

7

###### count Percentile

11

###### 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 | 22    | false   |
| 2.8–3.2 | 203   | true    |
| 3.2–3.6 | 370   | false   |
| 3.6–4.0 | 481   | false   |

##### departments

```json
[
  {
    "subject": "COMPSCI",
    "comparison": {
      "size": 38,
      "gpaPercentile": 8,
      "countPercentile": 0,
      "medianCount": 95.5,
      "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": 0,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 1,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 15,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 10,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 12,
          "current": false
        }
      ]
    }
  },
  {
    "subject": "ISYE",
    "comparison": {
      "size": 21,
      "gpaPercentile": 5,
      "countPercentile": 5,
      "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": 1,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 2,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 4,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 14,
          "current": false
        }
      ]
    }
  },
  {
    "subject": "MATH",
    "comparison": {
      "size": 39,
      "gpaPercentile": 32,
      "countPercentile": 3,
      "medianCount": 99,
      "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": 24,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 8,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 3,
          "current": false
        }
      ]
    }
  }
]
```

#### 1212

##### term

1212

##### gpa

3.0833333333333335

##### count

48

##### university

###### size

1111

###### gpa Percentile

7

###### count Percentile

32

###### 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 | 0     | false   |
| 2.4–2.8 | 4     | false   |
| 2.8–3.2 | 159   | true    |
| 3.2–3.6 | 337   | false   |
| 3.6–4.0 | 611   | false   |

##### departments

```json
[
  {
    "subject": "COMPSCI",
    "comparison": {
      "size": 42,
      "gpaPercentile": 15,
      "countPercentile": 10,
      "medianCount": 96,
      "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": 0,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 12,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 16,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 14,
          "current": false
        }
      ]
    }
  },
  {
    "subject": "ISYE",
    "comparison": {
      "size": 20,
      "gpaPercentile": 5,
      "countPercentile": 16,
      "medianCount": 63,
      "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": 0,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 2,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 4,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 14,
          "current": false
        }
      ]
    }
  },
  {
    "subject": "MATH",
    "comparison": {
      "size": 41,
      "gpaPercentile": 33,
      "countPercentile": 28,
      "medianCount": 87,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 0,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 2,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 18,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 12,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 9,
          "current": false
        }
      ]
    }
  }
]
```

#### 1222

##### term

1222

##### gpa

3.2232142857142856

##### count

56

##### university

###### size

1157

###### gpa Percentile

19

###### count Percentile

43

###### 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 | 1     | false   |
| 2.4–2.8 | 17    | false   |
| 2.8–3.2 | 174   | false   |
| 3.2–3.6 | 351   | true    |
| 3.6–4.0 | 614   | false   |

##### departments

```json
[
  {
    "subject": "COMPSCI",
    "comparison": {
      "size": 46,
      "gpaPercentile": 29,
      "countPercentile": 27,
      "medianCount": 94.5,
      "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": 0,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 1,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 8,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 23,
          "current": true
        },
        {
          "range": "3.6–4.0",
          "count": 14,
          "current": false
        }
      ]
    }
  },
  {
    "subject": "ISYE",
    "comparison": {
      "size": 24,
      "gpaPercentile": 13,
      "countPercentile": 70,
      "medianCount": 48.5,
      "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": 0,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 0,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 2,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 8,
          "current": true
        },
        {
          "range": "3.6–4.0",
          "count": 14,
          "current": false
        }
      ]
    }
  },
  {
    "subject": "MATH",
    "comparison": {
      "size": 39,
      "gpaPercentile": 55,
      "countPercentile": 34,
      "medianCount": 63,
      "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": 5,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 13,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 12,
          "current": true
        },
        {
          "range": "3.6–4.0",
          "count": 8,
          "current": false
        }
      ]
    }
  }
]
```

#### 1242

##### term

1242

##### gpa

3.014705882352941

##### count

68

##### university

###### size

1295

###### gpa Percentile

5

###### count Percentile

50

###### 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 | 2     | false   |
| 2.4–2.8 | 11    | false   |
| 2.8–3.2 | 162   | true    |
| 3.2–3.6 | 394   | false   |
| 3.6–4.0 | 726   | false   |

##### departments

```json
[
  {
    "subject": "COMPSCI",
    "comparison": {
      "size": 52,
      "gpaPercentile": 6,
      "countPercentile": 35,
      "medianCount": 99,
      "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": 1,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 9,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 20,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 22,
          "current": false
        }
      ]
    }
  },
  {
    "subject": "ISYE",
    "comparison": {
      "size": 23,
      "gpaPercentile": 5,
      "countPercentile": 77,
      "medianCount": 51,
      "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": 1,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 2,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 7,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 13,
          "current": false
        }
      ]
    }
  },
  {
    "subject": "MATH",
    "comparison": {
      "size": 43,
      "gpaPercentile": 19,
      "countPercentile": 48,
      "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": 4,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 17,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 13,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 8,
          "current": false
        }
      ]
    }
  }
]
```

#### 1252

##### term

1252

##### gpa

3

##### count

64

##### university

###### size

1333

###### gpa Percentile

3

###### count Percentile

45

###### median Count

69

###### histogram

| range   | count | current |
| ------- | ----- | ------- |
| 0.0–0.4 | 0     | false   |
| 0.4–0.8 | 0     | false   |
| 0.8–1.2 | 0     | false   |
| 1.2–1.6 | 0     | false   |
| 1.6–2.0 | 0     | false   |
| 2.0–2.4 | 0     | false   |
| 2.4–2.8 | 14    | false   |
| 2.8–3.2 | 115   | true    |
| 3.2–3.6 | 431   | false   |
| 3.6–4.0 | 773   | false   |

##### departments

```json
[
  {
    "subject": "COMPSCI",
    "comparison": {
      "size": 54,
      "gpaPercentile": 8,
      "countPercentile": 34,
      "medianCount": 101,
      "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": 1,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 8,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 23,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 22,
          "current": false
        }
      ]
    }
  },
  {
    "subject": "ISYE",
    "comparison": {
      "size": 24,
      "gpaPercentile": 4,
      "countPercentile": 83,
      "medianCount": 55,
      "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": 0,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 4,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 7,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 13,
          "current": false
        }
      ]
    }
  },
  {
    "subject": "MATH",
    "comparison": {
      "size": 43,
      "gpaPercentile": 21,
      "countPercentile": 45,
      "medianCount": 74,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 0,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 5,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 20,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 16,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 2,
          "current": false
        }
      ]
    }
  }
]
```

#### 1262

##### term

1262

##### gpa

2.8968253968253967

##### count

63

##### university

###### size

1320

###### gpa Percentile

1

###### count Percentile

44

###### median Count

70

###### histogram

| range   | count | current |
| ------- | ----- | ------- |
| 0.0–0.4 | 0     | false   |
| 0.4–0.8 | 0     | false   |
| 0.8–1.2 | 0     | false   |
| 1.2–1.6 | 0     | false   |
| 1.6–2.0 | 0     | false   |
| 2.0–2.4 | 1     | false   |
| 2.4–2.8 | 8     | false   |
| 2.8–3.2 | 133   | true    |
| 3.2–3.6 | 381   | false   |
| 3.6–4.0 | 797   | false   |

##### departments

```json
[
  {
    "subject": "COMPSCI",
    "comparison": {
      "size": 53,
      "gpaPercentile": 0,
      "countPercentile": 33,
      "medianCount": 82,
      "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": 0,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 10,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 22,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 21,
          "current": false
        }
      ]
    }
  },
  {
    "subject": "ISYE",
    "comparison": {
      "size": 25,
      "gpaPercentile": 0,
      "countPercentile": 58,
      "medianCount": 52,
      "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": 0,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 5,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 5,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 15,
          "current": false
        }
      ]
    }
  },
  {
    "subject": "MATH",
    "comparison": {
      "size": 43,
      "gpaPercentile": 10,
      "countPercentile": 36,
      "medianCount": 81,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 0,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 3,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 18,
          "current": true
        },
        {
          "range": "3.2–3.6",
          "count": 16,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 6,
          "current": false
        }
      ]
    }
  }
]
```

### benchmarks

#### all

##### school

###### size

3834

###### gpa

3.651976310268285

###### top Share

81.37072101734189

###### count

128

##### COMPSCI

###### size

93

###### gpa

3.5732557326097547

###### top Share

77.77464378950263

###### count

268

##### ISYE

###### size

50

###### gpa

3.6816617205637816

###### top Share

83.94551212028027

###### count

167

##### MATH

###### size

94

###### gpa

3.5112644091349035

###### top Share

72.71986871501898

###### count

144.5

#### terms

##### 1074

###### school

###### size

695

###### gpa

3.3616924722887376

###### top Share

63.22509110105764

###### count

69

###### COMPSCI

###### size

13

###### gpa

3.0855368848689455

###### top Share

48.7445028912265

###### count

55

###### MATH

###### size

17

###### gpa

2.821339129045922

###### top Share

38.66654769268061

###### count

133

##### 1084

###### school

###### size

720

###### gpa

3.3670742938849725

###### top Share

63.42064564712246

###### count

70

###### COMPSCI

###### size

14

###### gpa

3.144553029581605

###### top Share

50.3940565180559

###### count

59

###### ISYE

###### size

12

###### gpa

3.539479209717092

###### top Share

78.21357214803776

###### count

39.5

###### MATH

###### size

22

###### gpa

2.977459424628873

###### top Share

44.52710820759676

###### count

88.5

##### 1162

###### school

###### size

954

###### gpa

3.43726781345039

###### top Share

68.05645304987395

###### count

64.5

###### COMPSCI

###### size

35

###### gpa

3.3323013900568625

###### top Share

63.38685451839816

###### count

56

###### ISYE

###### size

17

###### gpa

3.5725128229421537

###### top Share

76.66908174242778

###### count

47

###### 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

###### COMPSCI

###### size

31

###### gpa

3.3325489227746874

###### top Share

61.97665055034616

###### count

74

###### ISYE

###### size

20

###### gpa

3.62282118668902

###### top Share

80.8712827496802

###### count

49

###### MATH

###### size

36

###### gpa

3.098601909983034

###### top Share

48.67573746500224

###### count

66

##### 1192

###### school

###### size

1077

###### gpa

3.50327634323125

###### top Share

72.44641925727845

###### count

67

###### COMPSCI

###### size

38

###### gpa

3.3453717241366854

###### top Share

64.2917310505246

###### count

95.5

###### ISYE

###### size

21

###### gpa

3.606250714862031

###### top Share

80.36295437587276

###### count

66

###### MATH

###### size

39

###### gpa

3.1003216533236415

###### top Share

50.01588968281552

###### count

99

##### 1212

###### school

###### size

1111

###### gpa

3.5856416028074487

###### top Share

77.58926748660845

###### count

68

###### COMPSCI

###### size

42

###### gpa

3.450396020252364

###### top Share

69.90950224603134

###### count

96

###### ISYE

###### size

20

###### gpa

3.6720523848313853

###### top Share

82.3691054858035

###### count

63

###### 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

###### COMPSCI

###### size

46

###### gpa

3.4266761668874532

###### top Share

68.93117403010548

###### count

94.5

###### ISYE

###### size

24

###### gpa

3.5982967550887195

###### top Share

79.26400318090532

###### count

48.5

###### MATH

###### size

39

###### gpa

3.2083447119296955

###### top Share

56.75007696473496

###### count

63

##### 1242

###### school

###### size

1295

###### gpa

3.595302892737449

###### top Share

78.36291889885307

###### count

67

###### COMPSCI

###### size

52

###### gpa

3.5206188715369935

###### top Share

74.2043106737207

###### count

99

###### ISYE

###### size

23

###### gpa

3.58121958026649

###### top Share

78.36753571915544

###### count

51

###### 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

###### COMPSCI

###### size

54

###### gpa

3.5244021201456657

###### top Share

75.07938169795783

###### count

101

###### ISYE

###### size

24

###### gpa

3.591512973394995

###### top Share

76.60599070514075

###### count

55

###### MATH

###### size

43

###### gpa

3.185692541204979

###### top Share

54.14175342403773

###### count

74

##### 1262

###### school

###### size

1320

###### gpa

3.628825763035853

###### top Share

80.21118846327654

###### count

70

###### COMPSCI

###### size

53

###### gpa

3.533845597774486

###### top Share

75.31824598445624

###### count

82

###### ISYE

###### size

25

###### gpa

3.6267703884700335

###### top Share

79.39124378770292

###### count

52

###### MATH

###### size

43

###### gpa

3.2481769276584003

###### top Share

56.325967864851854

###### count

81

## instructor Trends

```json
[
  {
    "uid": "instructor_b9ee6f39e8faa00902e29001",
    "name": "CARLA MICHINI",
    "count": 335,
    "terms": [
      {
        "term": "1192",
        "count": 36,
        "sections": 1,
        "gpa": 2.9583333333333335
      },
      {
        "term": "1212",
        "count": 48,
        "sections": 1,
        "gpa": 3.0833333333333335
      },
      {
        "term": "1222",
        "count": 56,
        "sections": 1,
        "gpa": 3.2232142857142856
      },
      {
        "term": "1242",
        "count": 68,
        "sections": 1,
        "gpa": 3.014705882352941
      },
      {
        "term": "1252",
        "count": 64,
        "sections": 1,
        "gpa": 3
      },
      {
        "term": "1262",
        "count": 63,
        "sections": 1,
        "gpa": 2.8968253968253967
      }
    ]
  },
  {
    "uid": "instructor_62b99a8551a81e4cabeb217a",
    "name": "ALBERTO DEL PIA",
    "count": 45,
    "terms": [
      {
        "term": "1162",
        "count": 18,
        "sections": 1,
        "gpa": 2.7222222222222223
      },
      {
        "term": "1172",
        "count": 27,
        "sections": 1,
        "gpa": 3.185185185185185
      }
    ]
  },
  {
    "uid": "instructor_06abb4665265fb7f4a212230",
    "name": "ANDREW J MILLER",
    "count": 41,
    "terms": [
      {
        "term": "1074",
        "count": 23,
        "sections": 1,
        "gpa": 3.391304347826087
      },
      {
        "term": "1084",
        "count": 18,
        "sections": 1,
        "gpa": 3.5555555555555554
      }
    ]
  }
]
```

## following

None recorded.

## projection

### target

1272

### gpa

3.0069521937049437

### grades

| grade | percentage         |
| ----- | ------------------ |
| A     | 30.25743043378146  |
| AB    | 11.674956793919012 |
| B     | 23.94995938754906  |
| BC    | 10.199212928170363 |
| C     | 18.49794344115243  |
| D     | 4.459351491274016  |
| F     | 0.9611455241536541 |

### source Terms

* 1262
* 1252
* 1242
* 1222

### source Count

251

### same Season

true

### historical Range

* 2.896825396825396
* 3.2232142857142856
