# ECE 817: Nonlinear Systems | UW–Madison

[View on UW Courses](https://uwcourses.com/courses/ECE_817)

## Dataset

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

### repository

twangodev/uwcourses

### schema version

6

### importer version

7

### projection id

52a78527ff09011d88cb04c7d43867d9fbfec2930bf1dd2ec359ebd2844e0b07

### observed at

2026-09-07T15:55:43.033547+00:00

### built at

2026-09-10T19:50:42.743001+00:00

### courses

8951

### current instructors

5754

### limited

false

### terms

* 1272
* 1264
* 1262
* 1254
* 1252
* 1244
* 1242
* 1234
* 1232
* 1224
* 1222
* 1212
* 1204
* 1202
* 1194
* 1192
* 1184
* 1182
* 1174
* 1172
* 1164
* 1162
* 1154
* 1152
* 1144
* 1142
* 1134
* 1132
* 1124
* 1122
* 1114
* 1112
* 1104
* 1102
* 1094
* 1092
* 1084
* 1082
* 1074
* 1072

### term

1272

### departments

| subject   | count |
| --------- | ----- |
| AAE       | 90    |
| ABT       | 20    |
| ACCTIS    | 36    |
| ACTSCI    | 14    |
| AFAERO    | 10    |
| AFRICAN   | 87    |
| AFROAMER  | 71    |
| AGROECOL  | 21    |
| AMERIND   | 53    |
| ANAT\&PHY | 7     |
| ANATOMY   | 2     |
| ANESTHES  | 8     |
| ANSCI     | 57    |
| ANTHRO    | 95    |
| ART       | 125   |
| ARTED     | 10    |
| ARTHIST   | 121   |
| ASIALANG  | 129   |
| ASIAN     | 109   |
| ASIANAM   | 28    |
| ASTRON    | 38    |
| ATMOCN    | 69    |
| BIOCHEM   | 51    |
| BIOCORE   | 10    |
| BIOLOGY   | 14    |
| BIOMDSCI  | 18    |
| BME       | 66    |
| BMI       | 41    |
| BMOLCHEM  | 10    |
| BOTANY    | 69    |
| BSE       | 44    |
| C\&ESOC   | 73    |
| CBE       | 48    |
| CHEM      | 101   |
| CHICLA    | 52    |
| CIVENGR   | 133   |
| CLASSICS  | 47    |
| CNP       | 10    |
| CNSRSCI   | 50    |
| COMARTS   | 137   |
| COMPBIO   | 15    |
| COMPLIT   | 11    |
| COMPSCI   | 138   |
| COUNPSY   | 78    |
| CRB       | 19    |
| CS\&D     | 71    |
| CSCS      | 40    |
| CURRIC    | 193   |
| DANCE     | 93    |
| DERM      | 8     |
| DS        | 88    |
| DYSCI     | 35    |
| ECE       | 155   |
| ECON      | 145   |
| EDPOL     | 114   |
| EDPSYCH   | 97    |
| ELPA      | 70    |
| EMA       | 53    |
| EMERMED   | 17    |
| ENGL      | 206   |
| ENTOM     | 40    |
| ENVIRST   | 148   |
| EP        | 15    |
| EPD       | 67    |
| ESL       | 16    |
| F\&WECOL  | 60    |
| FAMMED    | 22    |
| FINANCE   | 50    |
| FOLKLORE  | 40    |
| FOODSCI   | 43    |
| FRENCH    | 63    |
| GEN\&WS   | 145   |
| GENBUS    | 72    |
| GENECSLR  | 17    |
| GENETICS  | 60    |
| GEOG      | 113   |
| GEOSCI    | 83    |
| GERMAN    | 82    |
| GLE       | 48    |
| GNS       | 38    |
| GREEK     | 27    |
| HDFS      | 41    |
| HEBR-BIB  | 13    |
| HEBR-MOD  | 10    |
| HISTORY   | 233   |
| HISTSCI   | 56    |
| HONCOL    | 13    |
| ILS       | 43    |
| INFOSYS   | 9     |
| INTEGART  | 7     |
| INTEGSCI  | 22    |
| INTER-AG  | 18    |
| INTER-HE  | 11    |
| INTER-LS  | 22    |
| INTEREGR  | 16    |
| INTLBUS   | 21    |
| INTLST    | 50    |
| ISYE      | 83    |
| ITALIAN   | 53    |
| JEWISH    | 56    |
| JOURN     | 88    |
| KINES     | 128   |
| LACIS     | 26    |
| LANDARC   | 61    |
| LATIN     | 24    |
| LAW       | 120   |
| LEGALST   | 48    |
| LINGUIS   | 35    |
| LIS       | 89    |
| LITTRANS  | 78    |
| LSC       | 52    |
| M\&ENVTOX | 7     |
| MARKETNG  | 62    |
| MATH      | 153   |
| MDGENET   | 8     |
| ME        | 130   |
| MEDHIST   | 43    |
| MEDICINE  | 60    |
| MEDIEVAL  | 32    |
| MEDPHYS   | 39    |
| MEDSC-M   | 29    |
| MEDSC-V   | 41    |
| MHR       | 68    |
| MICROBIO  | 45    |
| MILSCI    | 16    |
| MM\&I     | 22    |
| MOLBIOL   | 6     |
| MS\&E     | 59    |
| MUSIC     | 165   |
| MUSPERF   | 126   |
| NAVSCI    | 20    |
| NE        | 44    |
| NEURODPT  | 11    |
| NEUROL    | 7     |
| NEURSURG  | 4     |
| NTP       | 11    |
| NURSING   | 111   |
| NUTRSCI   | 65    |
| OBS\&GYN  | 18    |
| OCCTHER   | 39    |
| ONCOLOGY  | 14    |
| OPHTHALM  | 5     |
| OTM       | 43    |
| PATH      | 34    |
| PATH-BIO  | 29    |
| PEDIAT    | 26    |
| PHARMACY  | 31    |
| PHILOS    | 77    |
| PHMCOL-M  | 11    |
| PHMPRAC   | 45    |
| PHMSCI    | 60    |
| PHYASST   | 37    |
| PHYSICS   | 88    |
| PHYSIOL   | 3     |
| PHYTHER   | 37    |
| PLANTSCI  | 52    |
| PLPATH    | 35    |
| POLISCI   | 192   |
| POPHLTH   | 58    |
| PORTUG    | 33    |
| PSYCH     | 101   |
| PSYCHIAT  | 22    |
| PUBAFFR   | 54    |
| PUBLHLTH  | 23    |
| RADIOL    | 11    |
| REALEST   | 41    |
| RELIGST   | 90    |
| RHABMED   | 9     |
| RMI       | 24    |
| RP\&SE    | 102   |
| S\&APHM   | 17    |
| SCANDST   | 73    |
| SLAVIC    | 89    |
| SOC       | 149   |
| SOCWORK   | 87    |
| SOILSCI   | 46    |
| SPANISH   | 83    |
| SRMED     | 21    |
| STAT      | 94    |
| STDYABRD  | 52    |
| STS       | 8     |
| SURGERY   | 25    |
| 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

d2005a65aafa1b99c741bc6729cca85b44bdb98663970368ddb72cf616fd1421

### course id

ECE 817

### course uid

course\_5f4a67327bb6b87df9ad5c3b

### catalog version id

6e6acd87fb85a1ae972096216a7424ad35feb10af9a476635acda56abde1e49e

### course number

817

### subjects

* ECE

### title

NONLINEAR SYSTEMS

### description

Modelling nonlinear systems, linearization, equilibria, solution concepts, phase plane analysis, stability concepts, Lyapunov methods, oscillations, vector space methods, control system nonlinearities and design. Selected topics from the following: input-output methods, switching and variable structure systems, feedback linearization, and Lyapunov robustness. Knowledge of linear systems \[such asE C E 717] strongly encouraged.

### requirements text

Graduate/professional standing

### credit offering ids

None recorded.

### llm job id

enrich-8b774950c2b6adfdc46d1b82

### llm output id

61c488b1546f1043b0823d9530cfb732ed649ea8e651bb46c6e4bab969d29fb0

### llm model

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

### llm model revision

1355db6a052410cfd62085d94b58866fd0f2c3c5

### llm task version

14

### llm search status

valid

### llm summary

ECE 817 teaches modeling, analysis, and design of nonlinear systems using linearization, phase plane methods, and Lyapunov stability.

### llm topics

* Nonlinear system modeling and linearization
* Stability analysis and Lyapunov methods
* Advanced nonlinear control topics

### llm skills

* Modeling and analyzing nonlinear systems
* Designing control systems with nonlinearities
* Applying Lyapunov stability methods

### llm assumed background

* Linear systems theory
* Linear algebra

### llm search phrases

* nonlinear systems control
* Lyapunov stability analysis
* phase plane analysis graduate
* ECE 817 nonlinear systems

### llm requirements status

valid

### llm student summary status

valid

### llm experience status

insufficient\_evidence

### catalog variants

None recorded.

### student summary

#### context hash

848f45b953e82688677418481a038007e242ccaba1eb31c24f626c559ebd3b90

#### course id

ECE 817

#### current instructors

None recorded.

#### difficulty workload

None recorded.

#### errors

None recorded.

#### historical context

None recorded.

#### message

No course-specific reviews available

#### offered

false

#### profile hash

5cb4dabf887cdbcd8c00d5a1312e10828b95c63f30bc3ea76aea199565390d02

#### quick take

Recent recorded grades — Fall 2016: 3.95 GPA, 100.0% A/AB (n=11 letter grades); Spring 2020: 4.00 GPA, 100.0% A/AB (n=10 letter grades); Spring 2023: 3.67 GPA, 77.8% A/AB (n=9 letter grades).

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```

#### student experience

None recorded.

#### task hash

74fb0997943e888960bbc9e47db8c4fd12e4292d55c20509d8d89db6a9910f68

#### teaching history

None recorded.

#### term id

1272

#### term name

2026 Fall

#### version

2

### requirements

#### nodes

```json
[
  {
    "children": [],
    "condition": "Graduate/professional standing",
    "course": null,
    "evidence": "Graduate/professional standing",
    "id": "n0",
    "kind": "condition"
  }
]
```

#### notes

None recorded.

#### root

n0

#### status

parsed

### instructors

None recorded.

### offerings

None recorded.

### sections

None recorded.

### grade instructors

```json
[
  {
    "instructor_uid": "instructor_fd0f7285bbe3808d1d4aa526",
    "source": "madgrades",
    "source_instructor_id": "3581046",
    "identity_basis": "source_id",
    "identity_status": "source_identified",
    "name": "IAN DOBSON",
    "email": null,
    "first_observed_at": "2026-09-06 23:14:58.172943+00:00",
    "last_observed_at": "2026-09-07 15:55:43.033547+00:00",
    "grade_statistics": {
      "gpa": 3.168,
      "graded": 101,
      "counts": [
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        23,
        10,
        9,
        5,
        0
      ],
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    },
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    "source": "madgrades",
    "source_instructor_id": "106073",
    "identity_basis": "source_id",
    "identity_status": "source_identified",
    "name": "BILL SETHARES",
    "email": null,
    "first_observed_at": "2026-09-06 23:14:58.172943+00:00",
    "last_observed_at": "2026-09-07 15:55:43.033547+00:00",
    "grade_statistics": {
      "gpa": 3.621,
      "graded": 1733,
      "counts": [
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        361,
        205,
        46,
        48,
        10,
        19
      ],
      "sections": 147
    },
    "instructor_url": "/instructors/BILL_SETHARES--instructor_49ad2008bae9eaafa29e17ca"
  }
]
```

### grades

```json
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    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "ECE 817",
    "course_uid": "course_5f4a67327bb6b87df9ad5c3b",
    "term_id": "1114",
    "term_name": "Spring 2011",
    "instructors": [
      "IAN DOBSON"
    ],
    "a": 3,
    "ab": 1,
    "b": 0,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 2,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
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    "source_aliases": [
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    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
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    "course_id": "ECE 817",
    "course_uid": "course_5f4a67327bb6b87df9ad5c3b",
    "term_id": "1172",
    "term_name": "Fall 2016",
    "instructors": [
      "Bill Sethares"
    ],
    "a": 10,
    "ab": 1,
    "b": 0,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
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    "not_reported": 0,
    "other": 0,
    "total": 11,
    "source_aliases": [
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  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "ECE 817",
    "course_uid": "course_5f4a67327bb6b87df9ad5c3b",
    "term_id": "1204",
    "term_name": "Spring 2020",
    "instructors": [
      "Bill Sethares"
    ],
    "a": 10,
    "ab": 0,
    "b": 0,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
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    "unsatisfactory": 0,
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    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 10,
    "source_aliases": [
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    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "ECE 817",
    "course_uid": "course_5f4a67327bb6b87df9ad5c3b",
    "term_id": "1234",
    "term_name": "Spring 2023",
    "instructors": [
      "Bill Sethares"
    ],
    "a": 7,
    "ab": 0,
    "b": 0,
    "bc": 2,
    "c": 0,
    "d": 0,
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    "incomplete": 0,
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    "not_reported": 0,
    "other": 0,
    "total": 9,
    "source_aliases": [
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]
```

### statistics

#### gpa

3.882

#### graded

34

#### counts

* 30
* 2
* 0
* 2
* 0
* 0
* 0

### grade conflicts

None recorded.

### evidence

#### history

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course\_5f4a67327bb6b87df9ad5c3b-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_5f4a67327bb6b87df9ad5c3b-0.json)

#### traces

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_5f4a67327bb6b87df9ad5c3b-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_5f4a67327bb6b87df9ad5c3b-0.json)

#### results

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_5f4a67327bb6b87df9ad5c3b-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_5f4a67327bb6b87df9ad5c3b-0.json)

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

## context

### all

#### term



#### gpa

3.8823529411764706

#### count

34

#### university

##### size

2560

##### gpa Percentile

76

##### count Percentile

7

##### median Count

82

##### 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 | 13    | false   |
| 2.8–3.2 | 275   | false   |
| 3.2–3.6 | 779   | false   |
| 3.6–4.0 | 1493  | true    |

#### departments

```json
[
  {
    "subject": "ECE",
    "comparison": {
      "size": 73,
      "gpaPercentile": 85,
      "countPercentile": 7,
      "medianCount": 83,
      "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": 6,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 34,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 33,
          "current": true
        }
      ]
    }
  }
]
```

### terms

#### 1114

##### term

1114

##### gpa

3.875

##### count

4

##### departments

| subject | comparison |
| ------- | ---------- |
| ECE     |            |

#### 1172

##### term

1172

##### gpa

3.9545454545454546

##### count

11

##### departments

| subject | comparison |
| ------- | ---------- |
| ECE     |            |

#### 1204

##### term

1204

##### gpa

4

##### count

10

##### departments

| subject | comparison |
| ------- | ---------- |
| ECE     |            |

#### 1234

##### term

1234

##### gpa

3.6666666666666665

##### count

9

##### departments

| subject | comparison |
| ------- | ---------- |
| ECE     |            |

### benchmarks

#### all

##### school

###### size

2560

###### gpa

3.6171824029935364

###### top Share

79.12081618528245

###### count

82

##### ECE

###### size

73

###### gpa

3.5679419201213207

###### top Share

75.90694978295551

###### count

83

#### terms

##### 1114

###### school

###### size

804

###### gpa

3.3696004653806844

###### top Share

64.0389334741844

###### count

68

###### ECE

###### size

22

###### gpa

3.144458106909116

###### top Share

49.77358787545943

###### count

49

##### 1172

###### school

###### size

991

###### gpa

3.465129042641772

###### top Share

69.42600667567366

###### count

67

###### ECE

###### size

35

###### gpa

3.3883507843058354

###### top Share

63.7905998393372

###### count

72

##### 1204

###### school

###### size

1012

###### gpa

3.703747431523761

###### top Share

84.59811226304916

###### count

65.5

###### ECE

###### size

34

###### gpa

3.7346193271517083

###### top Share

86.80502962000203

###### count

73.5

##### 1234

###### school

###### size

1188

###### gpa

3.5799441677552393

###### top Share

77.18256448537606

###### count

65

###### ECE

###### size

41

###### gpa

3.521247893399985

###### top Share

73.18909826442149

###### count

70

## instructor Trends

```json
[
  {
    "uid": "instructor_49ad2008bae9eaafa29e17ca",
    "name": "BILL SETHARES",
    "count": 30,
    "terms": [
      {
        "term": "1172",
        "count": 11,
        "sections": 1,
        "gpa": 3.9545454545454546
      },
      {
        "term": "1204",
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        "sections": 1,
        "gpa": 4
      },
      {
        "term": "1234",
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        "gpa": 3.6666666666666665
      }
    ]
  },
  {
    "uid": "instructor_fd0f7285bbe3808d1d4aa526",
    "name": "IAN DOBSON",
    "count": 4,
    "terms": [
      {
        "term": "1114",
        "count": 4,
        "sections": 1,
        "gpa": 3.875
      }
    ]
  }
]
```

## following

None recorded.
