Spring 2027

Methods of Applied Mathematics-2

Methods of Applied Mathematics covers derivation and solutions for canonical PDEs, including conservation laws, Fourier analysis, Green's functions, asymptotics, and perturbation methods.

offering recorded3 credits
Recorded instructors · Spring 2027 Sam Stechmann

Summary

1 / 5

Past student reviews · Jean Luc Thiffeault

The course was rated with a moderate difficulty level by the reviewer.

Grade history

↗
average GPA
letter grades
A
AB
B
BC
C
D
F

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 or member of the Pre-Masters Mathematics (Visiting International) Program
MATH 704

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

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

Professors

Spring 2027
Historical instructors & teaching patterns

JEAN-LUC THIFFEAULT is recorded teaching in Spring 2017, Spring 2019, Spring 2020, Spring 2023, Spring 2024, 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 / 350

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 · Jean Luc Thiffeault

A past student described Jean-Luc Thiffeault as one of the smartest people they had met, noting that he genuinely enjoyed his math and life.

Recent recorded grades — Spring 2024: 4.00 GPA, 100.0% A/AB (n=18 letter grades); Spring 2025: 3.95 GPA, 96.4% A/AB (n=28 letter grades); Spring 2026: 3.95 GPA, 100.0% A/AB (n=11 letter grades).

difficulty & workload

Past student reviews · Jean Luc Thiffeault

The course was rated with a moderate difficulty level by the reviewer.

Past student reviews · Jean Luc Thiffeault

The instructor received a high rating for the quality of instruction.

Topics

  • Conservation laws, advection, and diffusion
  • First-order PDEs, characteristics, and shocks
  • Traffic flow, eikonal, and Hamilton-Jacobi equations
  • Higher-order PDEs, classification, Fourier analysis, and well-posedness
  • Series solutions, integral transforms, Green's functions, and distributions
  • Similarity solutions and asymptotic methods (Laplace's method, stationary phase)
  • Ship waves and perturbation methods

Skills

  • Solving canonical partial differential equations
  • Analyzing first-order PDEs using characteristics
  • Classifying higher-order PDEs and applying Fourier analysis
  • Using series solutions, integral transforms, and Green's functions
  • Applying asymptotic methods and similarity solutions
  • Employing perturbation methods

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 704 · Spring 2027

Methods of Applied Mathematics-2

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": "1274:600:011715",
    "course_id": "MATH 704",
    "course_uid": "course_a0150f21af89cd5e021aa199",
    "term_id": "1274",
    "source_course_id": "011715",
    "source_subject_id": "600",
    "title": "Methods of Applied Mathematics-2",
    "credits_min": 3,
    "credits_max": 3,
    "typically_offered": "Occasionally"
  }
]
Rate My Professors

Student reviews

Original comments behind the course and instructor summaries.

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Madgrades

Grade history

Recorded grade distributions by term, section, and instructor.

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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.

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Model & dataset provenance 
{
  "model": "Qwen/Qwen3.8-27B",
  "model_revision": "1d4bf0f2ff6012fd82039f2fa52739d0dd7c60c0",
  "task_version": "17",
  "output_id": "0a28fd60c388fe8327ddad04d3a83b3baf828abbd7652122c9f02559b59a0ffd",
  "requirements_status": "needs_review",
  "dataset_revision": "fc1811fa52e581ea57a35c0cf3343f8740a8ffbf",
  "observed_at": "2026-10-14 17:50:09.728220+00:00"
}