Fall 2026

Applied Mathematical Analysis 1: Vector and Complex Calculus

Covers vector analysis including Green, Gauss, and Stokes theorems, and complex analysis including the residue theorem.

offering recorded3 credits
Recorded instructors · Fall 2026 Chenghuang ChenSam Stechmann

Summary

1 / 7

Historical reviews of Anakewit Boonkasame, Fabian Waleffe, Ronald Dickey: Exams are often described as extremely difficult, long, and harder than the homework. The workload is heavy, with tight deadlines and challenging quizzes that require significant preparation.

Grade history

average GPA
letter grades
A
AB
B
BC
C
D
F

All recorded terms · compare terms & instructors

Prerequisites

Course map

(MATH 234 and 320), (MATH 234, 319, and 340), (MATH 234, 319, and 345), (MATH 319 and 341),MATH 376, or graduate/professional standing

MATH 321 used by

“Used by” includes alternatives; linked courses may have other requirements. This is a best-effort interpretation; check the catalog requirements above.

Prerequisite text tree

Professors

Fall 2026
Historical instructors & teaching patterns

Sam Stechmann leads this course. Historical instructors like Fabian Waleffe and Ronald Dickey were criticized for difficult exams and poor explanations. Conversely, Anakewit Boonkasame, Alfredo Wetzel, and Jean Luc Thiffeault were praised for making the material accessible and helpful.

ALFREDO WETZEL is recorded teaching in Spring 2017, Fall 2018, Spring 2019. Recorded history may be incomplete and does not establish a future schedule.

ANAKEWIT BOONKASAME is recorded teaching in Spring 2014, Spring 2015. Recorded history may be incomplete and does not establish a future schedule.

BILLY JACKSON is recorded teaching in Spring 2023. Recorded history may be incomplete and does not establish a future schedule.

FABIAN WALEFFE is recorded teaching in Fall 2006, Spring 2007, Fall 2007, Spring 2008, Fall 2008, Spring 2009, Fall 2009, Spring 2010, Fall 2010, Spring 2011, Fall 2011, Fall 2012, Fall 2013, Fall 2014, Fall 2015, Fall 2016, Fall 2017, Spring 2018, Spring 2020, Fall 2021, Fall 2022, Fall 2023, Fall 2024, Spring 2025, Fall 2025. Recorded history may be incomplete and does not establish a future schedule.

JEAN-LUC THIFFEAULT is recorded teaching in Spring 2012, Spring 2013, Spring 2016, Fall 2019, Fall 2020. Recorded history may be incomplete and does not establish a future schedule.

SEAN PAUL is recorded teaching in Spring 2026. Recorded history may be incomplete and does not establish a future schedule.

SHUBIN FU is recorded teaching in Spring 2022. Recorded history may be incomplete and does not establish a future schedule.

TRINH NGUYEN is recorded teaching in Spring 2024. 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

Fall 2026

Schedule loads here as you scroll.

SectionModeEnrolled / capacityWaitlist
LEC 001Classroom Instruction139 / 1404
DIS 301Classroom Instruction30 / 301
DIS 302Classroom Instruction28 / 300
DIS 303Classroom Instruction32 / 303

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

Meeting source records

Student experience

the class

Historical reviews of Alfredo Wetzel, Anakewit Boonkasame, Billy Jackson, Trinh Nguyen: MATH 321 is a notoriously difficult course where instructor quality significantly impacts the experience. Positive reviews highlight helpful, patient, and clear teaching that makes the material accessible.

Recent recorded grades — Spring 2025: 2.51 GPA, 21.3% A/AB (n=75 letter grades); Fall 2025: 2.58 GPA, 20.0% A/AB (n=55 letter grades); Spring 2026: 2.41 GPA, 9.2% A/AB (n=76 letter grades).

difficulty & workload

Historical reviews of Anakewit Boonkasame, Fabian Waleffe, Ronald Dickey: Exams are often described as extremely difficult, long, and harder than the homework. The workload is heavy, with tight deadlines and challenging quizzes that require significant preparation.

Historical reviews of Alfredo Wetzel, Jean Luc Thiffeault, Shubin Fu, Trinh Nguyen: Students praise helpful office hours, clear explanations, and engaging lectures. Reviewers highlight that these instructors make the difficult material easier to digest and approach.

Topics

  • Vector algebra and geometry
  • Vector calculus theorems
  • Coordinate systems and operators
  • Complex analysis and conformal mapping

Skills

  • Vector analysis and coordinate transformations
  • Complex analysis and residue calculus

Grades

Historical instructor

Fall 2026 · Projected

Before grades are released

average GPA

Approximate 80% prediction interval

About this estimate

The course’s semester-average GPA, not an individual student’s grade. The center uses 5 same-season terms, weighted toward recent results.

The range uses the finite-sample 80th-percentile rank of absolute errors from earlier same-season forecasts. Each forecast uses only records from earlier terms. At least four forecasts are required; bounds are rounded outward and limited to 0–4. This is an empirical estimate: changing instructors or grading policies can reduce its coverage.

8 earlier forecasts · 0.29 GPA average error.

Grades over time

Through Fall 2026

More grade details Grade mix, volume & source data

Where this course fits relative to

Latest available grades · Spring 2026 · all course levels

GPA

Higher than % of other courses in this group.

Course GPAs · red marks this course’s range

letter grades

More recorded grades than % of other courses in this group.

Typical course in this group: letter grades.

About this comparison

1283 courses over the same term, each with at least 30 recorded letter grades. Cross-listed courses count once. GPA is not a measure of difficulty or teaching quality. The typical course is the median by recorded grade count; tied values are not counted as lower. Grade counts describe course scale, not unique students or typical section size.

Descriptions compare GPA with this group’s average: at least 0.20 higher or lower; otherwise close to average. Section size uses median recorded enrollment: small up to 30, mid-sized 31–99, large 100+. Lectures and discussion/lab sections are described separately.

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.

Selected offering source records
MATH 321 · Fall 2026

Applied Mathematical Analysis 1: Vector and Complex Calculus

Recorded 2026-09-07
Raw records
[
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "offering_id": "1272:600:011647",
    "course_id": "MATH 321",
    "course_uid": "course_cd8a47c5c8808c1cc3427d87",
    "term_id": "1272",
    "source_course_id": "011647",
    "source_subject_id": "600",
    "title": "Applied Mathematical Analysis 1: Vector and Complex Calculus",
    "credits_min": 3,
    "credits_max": 3,
    "typically_offered": "Fall, Spring"
  }
]
Rate My Professors

Student reviews

Original comments behind the course and instructor summaries.

Read original reviews
Madgrades

Grade history

Recorded grade distributions by term, section, and instructor.

Explore recorded grades
Model outputs & technical records
nvidia/Qwen3.6-35B-A3B-NVFP4
LLM outputs across runs
Full model traces

Recorded model configuration, reasoning, and tool conversations.

Model & dataset provenance
{
  "model": "nvidia/Qwen3.6-35B-A3B-NVFP4",
  "model_revision": "1355db6a052410cfd62085d94b58866fd0f2c3c5",
  "task_version": "14",
  "output_id": "4deee9fdc1f768cd9dd23bdf84179dc4068d61cbeced6267003610fb0135c120",
  "requirements_status": "needs_review",
  "dataset_revision": "e243353dcb7d79b7247ced91d69443ef4c2a6349",
  "observed_at": "2026-09-07 15:55:43.033547+00:00"
}