# MATH 627: Introduction to Fourier Analysis | UW–Madison

[View on UW Courses](https://uwcourses.com/courses/MATH_627)

## 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

ced5477e7a67705a007db8c5735c980c1b8579dd4924de35ee8c8866dcced54d

### course id

MATH 627

### course uid

course\_c77d4cdc0e9b0f7ae118cef5

### catalog version id

5be84dc74eb154a7eff3643bbc86350b3a827c8faa588d4859d5c2681541ff39

### course number

627

### subjects

* MATH

### title

INTRODUCTION TO FOURIER ANALYSIS

### description

Fourier series and integrals, and their applications.

### requirements text

MATH 521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program

### credit offering ids

None recorded.

### llm job id

enrich-8b774950c2b6adfdc46d1b82

### llm output id

a7701828313147bb7c3e77a3a894266d6497f58029d1be456db3ad4cd27adaa5

### llm model

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

### llm model revision

1355db6a052410cfd62085d94b58866fd0f2c3c5

### llm task version

14

### llm search status

valid

### llm summary

Introduction to Fourier Analysis covers Fourier series, integrals, and their applications.

### llm topics

* Fourier series
* Fourier integrals
* Applications of Fourier analysis

### llm skills

* Fourier series and integrals
* Applications of Fourier analysis

### llm assumed background

* Real analysis, topology, and convergence theory

### llm search phrases

* Fourier analysis graduate course
* MATH 627 Fourier series applications
* Introduction to Fourier Analysis prerequisites

### llm requirements status

valid

### llm student summary status

valid

### llm experience status

insufficient\_evidence

### catalog variants

None recorded.

### student summary

#### context hash

aee1361f307401e4b2b03b037bbf850d7f3350e8022911294c8c24a03ed8252d

#### course id

MATH 627

#### 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 — Spring 2016: 3.23 GPA, 45.5% A/AB (n=11 letter grades); Fall 2021: 3.90 GPA, 90.0% A/AB (n=10 letter grades); Fall 2023: 3.31 GPA, 75.0% A/AB (n=8 letter grades).

```json
{
  "citations": [
    {
      "course_id": "MATH 627",
      "run_id": "20260907T155543-ce3781c4",
      "source_record": {
        "entity_id": "0f9c7f87-24ee-3f2e-bc6c-016c04a520ff",
        "file": "tables/observations.parquet",
        "kind": "grades",
        "source": "madgrades"
      },
      "table": "grades_latest",
      "term_id": "1164",
      "type": "grade"
    },
    {
      "course_id": "MATH 627",
      "run_id": "20260907T155543-ce3781c4",
      "source_record": {
        "entity_id": "0f9c7f87-24ee-3f2e-bc6c-016c04a520ff",
        "file": "tables/observations.parquet",
        "kind": "grades",
        "source": "madgrades"
      },
      "table": "grades_latest",
      "term_id": "1222",
      "type": "grade"
    },
    {
      "course_id": "MATH 627",
      "run_id": "20260907T155543-ce3781c4",
      "source_record": {
        "entity_id": "0f9c7f87-24ee-3f2e-bc6c-016c04a520ff",
        "file": "tables/observations.parquet",
        "kind": "grades",
        "source": "madgrades"
      },
      "table": "grades_latest",
      "term_id": "1242",
      "type": "grade"
    }
  ]
}
```

#### student experience

None recorded.

#### task hash

74fb0997943e888960bbc9e47db8c4fd12e4292d55c20509d8d89db6a9910f68

#### teaching history

None recorded.

#### term id

1272

#### term name

2026 Fall

#### version

2

### requirements

#### nodes

```json
[
  {
    "children": [
      "n1",
      "n2",
      "n3"
    ],
    "condition": null,
    "course": null,
    "evidence": "MATH 521or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program",
    "id": "n0",
    "kind": "any"
  },
  {
    "children": [],
    "condition": null,
    "course": {
      "course_number": 521,
      "minimum_grade": null,
      "subjects": [
        "MATH"
      ],
      "timing": "prior"
    },
    "evidence": "MATH 521",
    "id": "n1",
    "kind": "course"
  },
  {
    "children": [],
    "condition": "graduate/professional standing",
    "course": null,
    "evidence": "graduate/professional standing",
    "id": "n2",
    "kind": "condition"
  },
  {
    "children": [],
    "condition": "member of the Pre-Masters Mathematics (Visiting International) Program",
    "course": null,
    "evidence": "member of the Pre-Masters Mathematics (Visiting International) Program",
    "id": "n3",
    "kind": "condition"
  }
]
```

#### notes

None recorded.

#### root

n0

#### status

parsed

### instructors

None recorded.

### offerings

None recorded.

### sections

None recorded.

### grade instructors

```json
[
  {
    "instructor_uid": "instructor_79e0c57b8b4bf6b90536c187",
    "source": "madgrades",
    "source_instructor_id": "4680082",
    "identity_basis": "source_id",
    "identity_status": "source_identified",
    "name": "ALEXANDER FISH",
    "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",
    "ratings": {
      "review_count": 12,
      "quality": 2.25,
      "difficulty": 4.08,
      "quality_count": 12,
      "difficulty_count": 12,
      "profile_id": "rmp:1326966",
      "source_url": "https://www.ratemyprofessors.com/professor/1326966",
      "match_basis": "exact_name",
      "observed_at": "2026-09-07 16:57:00.058195+00:00",
      "courses": {
        "course_5d5f3a3f185baf9eaaa98221": {
          "review_count": 1,
          "quality": 2,
          "difficulty": 5,
          "quality_count": 1,
          "difficulty_count": 1
        },
        "course_bac5b63415c0e4cd6d5c3848": {
          "review_count": 1,
          "quality": 1,
          "difficulty": 5,
          "quality_count": 1,
          "difficulty_count": 1
        },
        "course_6bc496e4640fd08f71e1b041": {
          "review_count": 2,
          "quality": 2,
          "difficulty": 4,
          "quality_count": 2,
          "difficulty_count": 2
        },
        "course_8634dde81cc95f6c58014087": {
          "review_count": 1,
          "quality": 3,
          "difficulty": 4,
          "quality_count": 1,
          "difficulty_count": 1
        },
        "course_dcdb624e3fb8cbaf9a557ab9": {
          "review_count": 1,
          "quality": 5,
          "difficulty": 2,
          "quality_count": 1,
          "difficulty_count": 1
        }
      },
      "bayesian_quality": 3.131053614716622,
      "prior_mean": 3.6596857835465957,
      "prior_weight": 20
    },
    "grade_statistics": {
      "gpa": 2.854,
      "graded": 441,
      "counts": [
        111,
        68,
        101,
        61,
        48,
        25,
        27
      ],
      "sections": 10
    },
    "instructor_url": "/instructors/ALEXANDER_FISH--instructor_79e0c57b8b4bf6b90536c187"
  },
  {
    "instructor_uid": "instructor_c0289d403f78c76ec800e7ea",
    "source": "madgrades",
    "source_instructor_id": "3619363",
    "identity_basis": "source_id",
    "identity_status": "source_identified",
    "name": "BRIAN STREET",
    "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",
    "ratings": {
      "review_count": 112,
      "quality": 4.13,
      "difficulty": 3.21,
      "quality_count": 112,
      "difficulty_count": 112,
      "profile_id": "rmp:1574143",
      "source_url": "https://www.ratemyprofessors.com/professor/1574143",
      "match_basis": "exact_name",
      "observed_at": "2026-09-07 16:51:04.942102+00:00",
      "courses": {
        "course_8634dde81cc95f6c58014087": {
          "review_count": 43,
          "quality": 3.98,
          "difficulty": 3.51,
          "quality_count": 43,
          "difficulty_count": 43
        },
        "course_cc1de60e9953cdd9c469e9a5": {
          "review_count": 50,
          "quality": 4.36,
          "difficulty": 3.02,
          "quality_count": 50,
          "difficulty_count": 50
        },
        "course_be7b0773bc9d040384a6a3ce": {
          "review_count": 2,
          "quality": 4.5,
          "difficulty": 4,
          "quality_count": 2,
          "difficulty_count": 2
        },
        "course_bac5b63415c0e4cd6d5c3848": {
          "review_count": 1,
          "quality": 3,
          "difficulty": 3,
          "quality_count": 1,
          "difficulty_count": 1
        }
      },
      "bayesian_quality": 4.058740270234333,
      "prior_mean": 3.6596857835465957,
      "prior_weight": 20
    },
    "grade_statistics": {
      "gpa": 3.255,
      "graded": 3556,
      "counts": [
        1730,
        355,
        688,
        206,
        333,
        169,
        75
      ],
      "sections": 45
    },
    "instructor_url": "/instructors/BRIAN_STREET--instructor_c0289d403f78c76ec800e7ea"
  },
  {
    "instructor_uid": "instructor_e930b3f6ec9d1140d6f286c3",
    "source": "madgrades",
    "source_instructor_id": "3856847",
    "identity_basis": "source_id",
    "identity_status": "source_identified",
    "name": "SERGUEI DENISSOV",
    "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",
    "ratings": {
      "review_count": 78,
      "quality": 2.92,
      "difficulty": 3.53,
      "quality_count": 78,
      "difficulty_count": 78,
      "profile_id": "rmp:607852",
      "source_url": "https://www.ratemyprofessors.com/professor/607852",
      "match_basis": "exact_name",
      "observed_at": "2026-09-07 16:06:22.769845+00:00",
      "courses": {
        "course_364c50303ed83d1234b4ea51": {
          "review_count": 3,
          "quality": 2.67,
          "difficulty": 4.33,
          "quality_count": 3,
          "difficulty_count": 3
        },
        "course_fa53f4954bab469b5d4c4fe3": {
          "review_count": 5,
          "quality": 3.4,
          "difficulty": 3.4,
          "quality_count": 5,
          "difficulty_count": 5
        },
        "course_5d98ff5f6adce2207e394dc6": {
          "review_count": 2,
          "quality": 1.5,
          "difficulty": 5,
          "quality_count": 2,
          "difficulty_count": 2
        },
        "course_8634dde81cc95f6c58014087": {
          "review_count": 11,
          "quality": 2.45,
          "difficulty": 4.27,
          "quality_count": 11,
          "difficulty_count": 11
        },
        "course_1351409acfb0d317ef52fedf": {
          "review_count": 1,
          "quality": 3,
          "difficulty": 4,
          "quality_count": 1,
          "difficulty_count": 1
        },
        "course_d5519f57ac7e657b6d2a0c6e": {
          "review_count": 1,
          "quality": 5,
          "difficulty": 3,
          "quality_count": 1,
          "difficulty_count": 1
        },
        "course_6bc496e4640fd08f71e1b041": {
          "review_count": 19,
          "quality": 3.21,
          "difficulty": 2.68,
          "quality_count": 19,
          "difficulty_count": 19
        },
        "course_cc1de60e9953cdd9c469e9a5": {
          "review_count": 8,
          "quality": 2.75,
          "difficulty": 3.88,
          "quality_count": 8,
          "difficulty_count": 8
        },
        "course_6a5fd6b22fd05d58426ea680": {
          "review_count": 1,
          "quality": 5,
          "difficulty": 2,
          "quality_count": 1,
          "difficulty_count": 1
        },
        "course_9a1a7bf1933981bcbaca47ac": {
          "review_count": 3,
          "quality": 2,
          "difficulty": 3,
          "quality_count": 3,
          "difficulty_count": 3
        },
        "course_9b0dc1865ea603eb0083bc33": {
          "review_count": 3,
          "quality": 3.33,
          "difficulty": 3,
          "quality_count": 3,
          "difficulty_count": 3
        },
        "course_7e12e6bf6be7a81f7ca74420": {
          "review_count": 1,
          "quality": 4,
          "difficulty": 2,
          "quality_count": 1,
          "difficulty_count": 1
        }
      },
      "bayesian_quality": 3.070956282356448,
      "prior_mean": 3.6596857835465957,
      "prior_weight": 20
    },
    "grade_statistics": {
      "gpa": 3.029,
      "graded": 2232,
      "counts": [
        538,
        326,
        698,
        323,
        259,
        49,
        39
      ],
      "sections": 54
    },
    "instructor_url": "/instructors/SERGUEI_DENISSOV--instructor_e930b3f6ec9d1140d6f286c3"
  },
  {
    "instructor_uid": "instructor_00701372518e8e693112f476",
    "source": "madgrades",
    "source_instructor_id": "6242903",
    "identity_basis": "source_id",
    "identity_status": "source_identified",
    "name": "DAVID BELTRAN PORTALES",
    "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": 3.267,
      "graded": 118,
      "counts": [
        51,
        12,
        27,
        13,
        11,
        4,
        0
      ],
      "sections": 7
    },
    "instructor_url": "/instructors/DAVID_BELTRAN_PORTALES"
  },
  {
    "instructor_uid": "instructor_c481c873d1705efea961239c",
    "source": "madgrades",
    "source_instructor_id": "5523435",
    "identity_basis": "source_id",
    "identity_status": "source_identified",
    "name": "YUCHEN LIAO",
    "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",
    "ratings": {
      "review_count": 4,
      "quality": 1.5,
      "difficulty": 4,
      "quality_count": 4,
      "difficulty_count": 4,
      "profile_id": "rmp:2969423",
      "source_url": "https://www.ratemyprofessors.com/professor/2969423",
      "match_basis": "exact_name",
      "observed_at": "2026-09-07 15:57:25.232660+00:00",
      "courses": {
        "course_0002a781bc9543f3a2ac1a94": {
          "review_count": 4,
          "quality": 1.5,
          "difficulty": 4,
          "quality_count": 4,
          "difficulty_count": 4
        }
      },
      "bayesian_quality": 3.2997381529554963,
      "prior_mean": 3.6596857835465957,
      "prior_weight": 20
    },
    "grade_statistics": {
      "gpa": 2.976,
      "graded": 148,
      "counts": [
        50,
        15,
        39,
        12,
        16,
        9,
        7
      ],
      "sections": 3
    },
    "instructor_url": "/instructors/YUCHEN_LIAO--instructor_c481c873d1705efea961239c"
  }
]
```

### grades

```json
[
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 627",
    "course_uid": "course_c77d4cdc0e9b0f7ae118cef5",
    "term_id": "1122",
    "term_name": "Fall 2011",
    "instructors": [
      "ALEXANDER FISH"
    ],
    "a": 0,
    "ab": 0,
    "b": 0,
    "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": 0,
    "source_aliases": [
      "MATH 627"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 627",
    "course_uid": "course_c77d4cdc0e9b0f7ae118cef5",
    "term_id": "1144",
    "term_name": "Spring 2014",
    "instructors": [
      "Brian Street"
    ],
    "a": 12,
    "ab": 2,
    "b": 3,
    "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": 18,
    "source_aliases": [
      "MATH 627"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 627",
    "course_uid": "course_c77d4cdc0e9b0f7ae118cef5",
    "term_id": "1164",
    "term_name": "Spring 2016",
    "instructors": [
      "SERGUEI DENISSOV"
    ],
    "a": 4,
    "ab": 1,
    "b": 4,
    "bc": 0,
    "c": 2,
    "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": [
      "MATH 627"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 627",
    "course_uid": "course_c77d4cdc0e9b0f7ae118cef5",
    "term_id": "1202",
    "term_name": "Fall 2019",
    "instructors": [
      "DAVID BELTRAN PORTALES"
    ],
    "a": 0,
    "ab": 0,
    "b": 0,
    "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": 0,
    "source_aliases": [
      "MATH 627"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 627",
    "course_uid": "course_c77d4cdc0e9b0f7ae118cef5",
    "term_id": "1222",
    "term_name": "Fall 2021",
    "instructors": [
      "SERGUEI DENISSOV"
    ],
    "a": 9,
    "ab": 0,
    "b": 1,
    "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": 10,
    "source_aliases": [
      "MATH 627"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "MATH 627",
    "course_uid": "course_c77d4cdc0e9b0f7ae118cef5",
    "term_id": "1242",
    "term_name": "Fall 2023",
    "instructors": [
      "YUCHEN LIAO"
    ],
    "a": 3,
    "ab": 3,
    "b": 1,
    "bc": 0,
    "c": 0,
    "d": 1,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 8,
    "source_aliases": [
      "MATH 627"
    ]
  }
]
```

### statistics

#### gpa

3.553

#### graded

47

#### counts

* 28
* 6
* 9
* 0
* 3
* 1
* 0

### grade conflicts

None recorded.

### evidence

#### history

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course\_c77d4cdc0e9b0f7ae118cef5-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_c77d4cdc0e9b0f7ae118cef5-0.json)

#### traces

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_c77d4cdc0e9b0f7ae118cef5-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_c77d4cdc0e9b0f7ae118cef5-0.json)

#### results

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_c77d4cdc0e9b0f7ae118cef5-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_c77d4cdc0e9b0f7ae118cef5-0.json)

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

## context

### all

#### term



#### gpa

3.5531914893617023

#### count

47

#### university

##### size

3206

##### gpa Percentile

38

##### count Percentile

19

##### median Count

94

##### 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 | 26    | false   |
| 2.8–3.2 | 335   | false   |
| 3.2–3.6 | 1002  | true    |
| 3.6–4.0 | 1842  | false   |

#### departments

```json
[
  {
    "subject": "MATH",
    "comparison": {
      "size": 84,
      "gpaPercentile": 64,
      "countPercentile": 20,
      "medianCount": 108,
      "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": 31,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 21,
          "current": true
        },
        {
          "range": "3.6–4.0",
          "count": 28,
          "current": false
        }
      ]
    }
  }
]
```

### terms

#### 1144

##### term

1144

##### gpa

3.6666666666666665

##### count

18

##### departments

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

#### 1164

##### term

1164

##### gpa

3.227272727272727

##### count

11

##### departments

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

#### 1222

##### term

1222

##### gpa

3.9

##### count

10

##### departments

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

#### 1242

##### term

1242

##### gpa

3.3125

##### count

8

##### departments

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

### benchmarks

#### all

##### school

###### size

3206

###### gpa

3.61315744729629

###### top Share

78.97158731444607

###### count

94

##### MATH

###### size

84

###### gpa

3.3949409874711

###### top Share

67.04843709740076

###### count

108

#### terms

##### 1122

###### school

###### size

804

###### gpa

3.3737149752667013

###### top Share

63.65118790117902

###### count

70

###### MATH

###### size

27

###### gpa

2.898067749128924

###### top Share

42.09489165698714

###### count

103

##### 1144

###### school

###### size

878

###### gpa

3.4092443327803017

###### top Share

65.95978235963416

###### count

64

###### MATH

###### size

30

###### gpa

2.926152797086596

###### top Share

42.17363619414386

###### count

79

##### 1164

###### school

###### size

965

###### gpa

3.46491230798535

###### top Share

69.92376287143657

###### count

68

###### MATH

###### size

32

###### gpa

2.995223360849456

###### top Share

46.38098813836469

###### count

83

##### 1202

###### school

###### size

1102

###### gpa

3.5102605987403313

###### top Share

72.78244569053733

###### count

68

###### MATH

###### size

40

###### gpa

3.1467748801316944

###### top Share

52.57847974231038

###### count

90.5

##### 1222

###### school

###### size

1157

###### gpa

3.563052311875811

###### top Share

76.64869058732418

###### count

64

###### 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

###### MATH

###### size

43

###### gpa

3.2449031633350183

###### top Share

58.03783489438137

###### count

80

## instructor Trends

```json
[
  {
    "uid": "instructor_e930b3f6ec9d1140d6f286c3",
    "name": "SERGUEI DENISSOV",
    "count": 21,
    "terms": [
      {
        "term": "1164",
        "count": 11,
        "sections": 1,
        "gpa": 3.227272727272727
      },
      {
        "term": "1222",
        "count": 10,
        "sections": 1,
        "gpa": 3.9
      }
    ]
  },
  {
    "uid": "instructor_c0289d403f78c76ec800e7ea",
    "name": "BRIAN STREET",
    "count": 18,
    "terms": [
      {
        "term": "1144",
        "count": 18,
        "sections": 1,
        "gpa": 3.6666666666666665
      }
    ]
  },
  {
    "uid": "instructor_c481c873d1705efea961239c",
    "name": "YUCHEN LIAO",
    "count": 8,
    "terms": [
      {
        "term": "1242",
        "count": 8,
        "sections": 1,
        "gpa": 3.3125
      }
    ]
  }
]
```

## following

None recorded.
