Spring 2027

Complex Analysis

A graduate course covering the basic theory of functions of one complex variable, from Cauchy formulas and residues through conformal mappings and the nonhomogeneous d-bar equation.

offering recorded3 credits
Recorded instructors · Spring 2027 Xianghong Gong2.2/5

Summary

1 / 5

Past student reviews · Alexander Nagel

One student rated the course difficulty as 1 out of 5, indicating it was not perceived as highly demanding in that instance.

Grade history

↗
average GPA
letter grades
A
AB
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All recorded terms · compare terms & instructors

Prerequisites

Course map

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

    • Graduate/professional standing
    • member of the Pre-Masters Mathematics (Visiting International) Program
    take one
MATH 722

This is a best-effort interpretation; check the catalog requirements above.

Prerequisite text tree
  • Any of
    • Graduate/professional standing
    • member of the Pre-Masters Mathematics (Visiting International) Program

Professors

Spring 2027

Xianghong Gong

Adjusted rating
RMP difficulty
captured reviews
About this rating

Raw average: 1.76/5 from 63 quality ratings. The adjusted rating blends this with the UW review average (3.66/5), weighted as 20 additional ratings. Smaller samples stay closer to that average. Each captured review is counted once in the prior; this does not correct who chooses to leave a review.

RMP profile ↗ · All captured review dates; profile matched by name.

Recent recorded grades — Spring 2019: 3.46 GPA, 64.3% A/AB (n=14 letter grades); Spring 2020: 3.80 GPA, 80.0% A/AB (n=10 letter grades); Spring 2025: 3.53 GPA, 68.8% A/AB (n=16 letter grades).

Historical instructors & teaching patterns

ALEXANDER NAGEL is recorded teaching in Spring 2007, Spring 2009, Spring 2012. Recorded history may be incomplete and does not establish a future schedule.

XIANGHONG GONG is recorded teaching in Spring 2008, Spring 2011, Spring 2015, Spring 2017, Spring 2018, Spring 2019, Spring 2020, Spring 2025. Recorded history may be incomplete and does not establish a future schedule.

Recorded history may be incomplete and does not establish a future schedule.

Calendar & sections

Spring 2027

Schedule loads here as you scroll.

SectionModeEnrolled / capacityWaitlist
LEC 001Classroom Instruction0 / 280

Times are Central. Select a meeting for details; export includes recorded dates for the selected sections. Enrollment reflects scan time.

Meeting source records
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Student experience

the class

Past student reviews · Alexander Nagel

A former student described Alexander Nagel as one of the finest professors at the university, noting that he made the material clear and interesting.

Recent recorded grades — Spring 2024: 3.60 GPA, 76.0% A/AB (n=25 letter grades); Spring 2025: 3.53 GPA, 68.8% A/AB (n=16 letter grades); Spring 2026: 3.44 GPA, 59.3% A/AB (n=27 letter grades).

difficulty & workload

Past student reviews · Alexander Nagel

One student rated the course difficulty as 1 out of 5, indicating it was not perceived as highly demanding in that instance.

Past student reviews · Alexander Nagel

The reviewer highlighted the instructor's ability to present the material in a way that was both clear and engaging.

Topics

  • Cauchy formula, singularities, and residues
  • Meromorphic functions, conformal mappings, and harmonic functions
  • Approximation and the nonhomogeneous d-bar equation

Skills

  • Theory of functions of one complex variable, including Cauchy formula, singularities, residues, meromorphic functions, conformal mappings, harmonic functions, approximation, and the nonhomogeneous d-bar equation

Grades

Latest available · Spring 2026— not enough history to project Spring 2027.

average GPA
A / AB grades
letter grades
Instructor

Grade distribution · % of letter grades

A
AB
B
BC
C
D
F

Grades over time

Through Spring 2026

More grade details Grade mix, volume & source data

Not enough comparable courses for Spring 2027 in UW–Madison.

Sources & history

UW–Madison

Catalog & offerings

Descriptions, prerequisites, and recorded course offerings.

Catalog observation history

Observations at scan time; dates do not imply when a catalog change took effect.

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Selected offering source records
MATH 722 · Spring 2027

Complex Analysis

Recorded 2026-10-14
Raw records 
[
  {
    "run_id": "20261014T203208-0851c9a1",
    "semester": "1274",
    "observed_at": "2026-10-14 17:50:09.728220+00:00",
    "offering_id": "1274:600:011730",
    "course_id": "MATH 722",
    "course_uid": "course_f14af393237e30c6a39c8fb8",
    "term_id": "1274",
    "source_course_id": "011730",
    "source_subject_id": "600",
    "title": "Complex Analysis",
    "credits_min": 3,
    "credits_max": 3,
    "typically_offered": "Occasionally"
  }
]
Rate My Professors

Student reviews

Original comments behind the course and instructor summaries.

Read original reviews
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Madgrades

Grade history

Recorded grade distributions by term, section, and instructor.

Explore recorded grades
Dataset & model

Recorded 2026-10-14

View the dataset on Hugging Face
Model outputs & technical records
Qwen/Qwen3.8-27B
LLM outputs across runs
Download part 1
Full model traces

Recorded model configuration, reasoning, and tool conversations.

Download part 1Download part 2
Model & dataset provenance 
{
  "model": "Qwen/Qwen3.8-27B",
  "model_revision": "1d4bf0f2ff6012fd82039f2fa52739d0dd7c60c0",
  "task_version": "17",
  "output_id": "bb4eec0d00d961e7e34ac51023a93bdd0af512de452a4257b9acc2ecd8e36763",
  "requirements_status": "needs_review",
  "dataset_revision": "fc1811fa52e581ea57a35c0cf3343f8740a8ffbf",
  "observed_at": "2026-10-14 17:50:09.728220+00:00"
}