# COMPSCI/ISYE/MATH 730: Nonlinear Optimization II | UW–Madison

[View on UW Courses](https://uwcourses.com/courses/COMPSCI_ISYE_MATH_730)

## Dataset

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### term

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### departments

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## course

### run id

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### semester

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### course id

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### course uid

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### catalog version id

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### course number

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### subjects

* COMPSCI
* ISYE
* MATH

### title

NONLINEAR OPTIMIZATION II

### description

Theory and algorithms for nonlinearly constrained optimization. Relevant geometric concepts, including tangent and normal cones, theorems of the alternative, and separation results. Constraint qualifications. Geometric and algebraic expression of first-order optimality conditions. Second-order optimality conditions. Duality. Nonlinear  programming algorithms: merit functions and filters; interior-point, augmented Lagrangian, and sequential quadratic programming algorithms.

### requirements text

STAT/​COMP SCI/​I SY E/​MATH  726

### credit offering ids

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### llm search status

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### llm summary

NONLINEAR OPTIMIZATION II covers theory and algorithms for nonlinearly constrained optimization, including optimality conditions, duality, and methods like interior-point and SQP.

### llm topics

* Geometric concepts: tangent/normal cones, separation results
* Constraint qualifications
* Merit functions, filters, interior-point, augmented Lagrangian, SQP

### llm skills

* Nonlinearly constrained optimization theory and algorithms
* First and second-order optimality conditions
* Duality theory
* Advanced nonlinear programming algorithms

### llm assumed background

* Linear algebra and basic mathematical analysis
* Foundations of nonlinear optimization

### llm search phrases

* nonlinear optimization algorithms
* interior-point methods
* sequential quadratic programming
* optimality conditions
* duality theory

### llm requirements status

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#### profile hash

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#### quick take

Recent recorded grades — Spring 2020: 3.71 GPA, 83.3% A/AB (n=12 letter grades); Fall 2022: 3.59 GPA, 76.5% A/AB (n=17 letter grades); Spring 2026: 3.59 GPA, 72.7% A/AB (n=11 letter grades).

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    "total": 6,
    "source_aliases": [
      "COMPSCI/ISYE/MATH 730"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "COMPSCI/ISYE/MATH 730",
    "course_uid": "course_16b002cb61d416743661e65d",
    "term_id": "1194",
    "term_name": "Spring 2019",
    "instructors": [
      "Stephen Wright"
    ],
    "a": 6,
    "ab": 4,
    "b": 5,
    "bc": 0,
    "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": 16,
    "source_aliases": [
      "COMPSCI/ISYE/MATH 730"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "COMPSCI/ISYE/MATH 730",
    "course_uid": "course_16b002cb61d416743661e65d",
    "term_id": "1204",
    "term_name": "Spring 2020",
    "instructors": [
      "Stephen Wright"
    ],
    "a": 7,
    "ab": 3,
    "b": 2,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 1,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 13,
    "source_aliases": [
      "COMPSCI/ISYE/MATH 730"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "COMPSCI/ISYE/MATH 730",
    "course_uid": "course_16b002cb61d416743661e65d",
    "term_id": "1232",
    "term_name": "Fall 2022",
    "instructors": [
      "Stephen Wright"
    ],
    "a": 7,
    "ab": 6,
    "b": 4,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 17,
    "source_aliases": [
      "COMPSCI/ISYE/MATH 730"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "COMPSCI/ISYE/MATH 730",
    "course_uid": "course_16b002cb61d416743661e65d",
    "term_id": "1264",
    "term_name": "Spring 2026",
    "instructors": [
      "Stephen Wright"
    ],
    "a": 5,
    "ab": 3,
    "b": 3,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 11,
    "source_aliases": [
      "COMPSCI/ISYE/MATH 730"
    ]
  }
]
```

### statistics

#### gpa

3.551

#### graded

156

#### counts

* 67
* 49
* 35
* 3
* 1
* 0
* 1

### grade conflicts

None recorded.

### evidence

#### history

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course\_16b002cb61d416743661e65d-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_16b002cb61d416743661e65d-0.json)

#### traces

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_16b002cb61d416743661e65d-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_16b002cb61d416743661e65d-0.json)

#### results

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_16b002cb61d416743661e65d-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_16b002cb61d416743661e65d-0.json)

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

## context

### all

#### term



#### gpa

3.551282051282051

#### count

156

#### university

##### size

3836

##### gpa Percentile

33

##### count Percentile

59

##### median Count

115.5

##### 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 | 19    | false   |
| 2.8–3.2 | 335   | false   |
| 3.2–3.6 | 1127  | true    |
| 3.6–4.0 | 2355  | false   |

#### departments

```json
[
  {
    "subject": "COMPSCI",
    "comparison": {
      "size": 94,
      "gpaPercentile": 42,
      "countPercentile": 44,
      "medianCount": 196.5,
      "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": 13,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 29,
          "current": true
        },
        {
          "range": "3.6–4.0",
          "count": 52,
          "current": false
        }
      ]
    }
  },
  {
    "subject": "ISYE",
    "comparison": {
      "size": 52,
      "gpaPercentile": 24,
      "countPercentile": 45,
      "medianCount": 190.5,
      "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": 3,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 11,
          "current": true
        },
        {
          "range": "3.6–4.0",
          "count": 38,
          "current": false
        }
      ]
    }
  },
  {
    "subject": "MATH",
    "comparison": {
      "size": 97,
      "gpaPercentile": 52,
      "countPercentile": 54,
      "medianCount": 122,
      "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": 21,
          "current": true
        },
        {
          "range": "3.6–4.0",
          "count": 44,
          "current": false
        }
      ]
    }
  }
]
```

### terms

#### 1084

##### term

1084

##### gpa

3.4285714285714284

##### count

7

##### departments

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

#### 1104

##### term

1104

##### gpa

3.4166666666666665

##### count

12

##### departments

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

#### 1114

##### term

1114

##### gpa

3.727272727272727

##### count

11

##### departments

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

#### 1134

##### term

1134

##### gpa

3.4814814814814814

##### count

27

##### departments

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

#### 1154

##### term

1154

##### gpa

3.630434782608696

##### count

23

##### departments

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

#### 1164

##### term

1164

##### gpa

3.5714285714285716

##### count

14

##### departments

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

#### 1174

##### term

1174

##### gpa

3.4166666666666665

##### count

6

##### departments

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

#### 1194

##### term

1194

##### gpa

3.4375

##### count

16

##### departments

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

#### 1204

##### term

1204

##### gpa

3.7083333333333335

##### count

12

##### departments

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

#### 1232

##### term

1232

##### gpa

3.588235294117647

##### count

17

##### departments

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

#### 1264

##### term

1264

##### gpa

3.590909090909091

##### count

11

##### departments

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

### benchmarks

#### all

##### school

###### size

3836

###### gpa

3.6406514178644676

###### top Share

80.80702388556412

###### count

115.5

##### COMPSCI

###### size

94

###### gpa

3.5814341845073963

###### top Share

78.43980298554844

###### count

196.5

##### ISYE

###### size

52

###### gpa

3.6925341532236473

###### top Share

84.05581213889053

###### count

190.5

##### MATH

###### size

97

###### gpa

3.4657844647456826

###### top Share

70.70623857551811

###### count

122

#### terms

##### 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

##### 1104

###### school

###### size

793

###### gpa

3.384661458923085

###### top Share

64.6614752434143

###### count

66

###### COMPSCI

###### size

22

###### gpa

3.200534462173063

###### top Share

56.78409435721555

###### count

51.5

###### ISYE

###### size

12

###### gpa

3.5102873708512288

###### top Share

73.77337837858025

###### count

43

###### 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

###### COMPSCI

###### size

18

###### gpa

3.266230341473234

###### top Share

59.94733477037724

###### count

58

###### ISYE

###### size

11

###### gpa

3.412841793537643

###### top Share

66.98646701950561

###### count

44

###### MATH

###### size

26

###### gpa

2.9090822348911582

###### top Share

41.14706210117883

###### count

83.5

##### 1134

###### school

###### size

852

###### gpa

3.4138934207568203

###### top Share

66.35946578182744

###### count

66

###### COMPSCI

###### size

22

###### gpa

3.2424086213492718

###### top Share

59.28222765244668

###### count

68

###### ISYE

###### size

18

###### gpa

3.5162768347554625

###### top Share

75.28474381169617

###### count

44.5

###### MATH

###### size

26

###### gpa

2.938004331770204

###### top Share

42.318323348030226

###### count

83.5

##### 1154

###### school

###### size

935

###### gpa

3.4282378385810093

###### top Share

67.66674668721691

###### count

63

###### COMPSCI

###### size

31

###### gpa

3.3515611477246905

###### top Share

66.93977839039297

###### count

63

###### ISYE

###### size

15

###### gpa

3.5190347673022537

###### top Share

74.22854110198433

###### count

51

###### 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

###### COMPSCI

###### size

32

###### gpa

3.2951719476979457

###### top Share

63.07751525075427

###### count

84

###### ISYE

###### size

19

###### gpa

3.629939118306125

###### top Share

80.5561261302253

###### count

49

###### 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

###### COMPSCI

###### size

30

###### gpa

3.3383019285046376

###### top Share

63.22952984555728

###### count

108

###### ISYE

###### size

20

###### gpa

3.548290744949521

###### top Share

73.96475892889286

###### count

57.5

###### MATH

###### size

32

###### gpa

2.992971960864239

###### top Share

44.393513280464695

###### count

89

##### 1194

###### school

###### size

1040

###### gpa

3.4906527436719808

###### top Share

71.74728845515045

###### count

67

###### COMPSCI

###### size

38

###### gpa

3.3433846242383978

###### top Share

63.409438479169644

###### count

92

###### ISYE

###### size

22

###### gpa

3.629795980115166

###### top Share

79.27647395270196

###### count

65

###### 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

###### COMPSCI

###### size

42

###### gpa

3.6240893265324647

###### top Share

79.98991493017058

###### count

90.5

###### ISYE

###### size

21

###### gpa

3.826924971533834

###### top Share

92.62448121984468

###### count

57

###### MATH

###### size

29

###### gpa

3.478717830475146

###### top Share

69.61236805388549

###### count

83

##### 1232

###### school

###### size

1216

###### gpa

3.575457431972425

###### top Share

77.33712216234007

###### count

66

###### COMPSCI

###### size

50

###### gpa

3.522872390836507

###### top Share

74.11555010870671

###### count

82.5

###### ISYE

###### size

24

###### gpa

3.6150976595453543

###### top Share

79.79311993423791

###### count

53

###### MATH

###### size

43

###### gpa

3.2486774162409366

###### top Share

56.56203211471963

###### count

69

##### 1264

###### school

###### size

1283

###### gpa

3.6229729166451925

###### top Share

80.13669149396227

###### count

66

###### COMPSCI

###### size

48

###### gpa

3.5022746140005943

###### top Share

73.13318776233326

###### count

105.5

###### ISYE

###### size

22

###### gpa

3.691810114676891

###### top Share

83.93896862155151

###### count

56.5

###### MATH

###### size

42

###### gpa

3.13598176627681

###### top Share

52.25969905887213

###### count

80

## instructor Trends

```json
[
  {
    "uid": "instructor_4774e825ddfeb1206af6b54a",
    "name": "STEPHEN WRIGHT",
    "count": 143,
    "terms": [
      {
        "term": "1104",
        "count": 12,
        "sections": 1,
        "gpa": 3.4166666666666665
      },
      {
        "term": "1114",
        "count": 11,
        "sections": 1,
        "gpa": 3.727272727272727
      },
      {
        "term": "1134",
        "count": 27,
        "sections": 1,
        "gpa": 3.4814814814814814
      },
      {
        "term": "1154",
        "count": 23,
        "sections": 1,
        "gpa": 3.630434782608696
      },
      {
        "term": "1164",
        "count": 14,
        "sections": 1,
        "gpa": 3.5714285714285716
      },
      {
        "term": "1194",
        "count": 16,
        "sections": 1,
        "gpa": 3.4375
      },
      {
        "term": "1204",
        "count": 12,
        "sections": 1,
        "gpa": 3.7083333333333335
      },
      {
        "term": "1232",
        "count": 17,
        "sections": 1,
        "gpa": 3.588235294117647
      },
      {
        "term": "1264",
        "count": 11,
        "sections": 1,
        "gpa": 3.590909090909091
      }
    ]
  },
  {
    "uid": "instructor_b2b79e8f7cf2014ccc109e83",
    "name": "MICHAEL FERRIS",
    "count": 13,
    "terms": [
      {
        "term": "1084",
        "count": 7,
        "sections": 1,
        "gpa": 3.4285714285714284
      },
      {
        "term": "1174",
        "count": 6,
        "sections": 1,
        "gpa": 3.4166666666666665
      }
    ]
  }
]
```

## following

None recorded.
