Partial Differential Equations
Covers classical theory of partial differential equations and introduces modern theory based on functional analysis.
Summary
Recent recorded grades — Fall 2023: 4.00 GPA, 100.0% A/AB (n=32 letter grades); Fall 2024: 3.44 GPA, 72.2% A/AB (n=18 letter grades); Fall 2025: 3.65 GPA, 78.3% A/AB (n=23 letter grades).
What you’ll be able to do
Recall and state the basic theorems regarding solutions to the transport, Laplace, heat, and wave equations.
Use the above theorems to analyze solutions to first and second order linear partial differential equations of the above types, with novel initial data or boundary values.
Apply basic tools for studying first order nonlinear partial differential equations to analyze conservation laws and equations of Hamilton-Jacobi type.
Recall and state the definitions and basic theorems of Sobolev spaces.
Analyze novel second order elliptic equations by establishing existence, regularity, and maximum principles of solutions, given initial or boundary data with various properties.
Source: UW Guide
Grade history
↗All recorded terms · compare terms & instructors
Prerequisites
Course mapGraduate/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
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 2027No instructors recorded for this selection.
Historical instructors & teaching patterns
Recorded history may be incomplete and does not establish a future schedule.
Calendar & sections
Spring 2027Schedule loads here as you scroll.
| Section | Mode | Enrolled / capacity | Waitlist |
|---|
Times are Central. Select a meeting for details; export includes recorded dates for the selected sections.
Meeting source records
Student experience
the class
Recent recorded grades — Fall 2023: 4.00 GPA, 100.0% A/AB (n=32 letter grades); Fall 2024: 3.44 GPA, 72.2% A/AB (n=18 letter grades); Fall 2025: 3.65 GPA, 78.3% A/AB (n=23 letter grades).
difficulty & workload
No workload feedback recorded.
Topics
- Transport, Laplace, heat, and wave equations
- First order nonlinear PDEs, conservation laws, and Hamilton-Jacobi equations
- Sobolev spaces
- Second order elliptic equations
Skills
- Analyzing solutions to linear and nonlinear PDEs using existence, regularity, and maximum principles
- Applying definitions and theorems of Sobolev spaces
Grades
Latest available · Fall 2025— not enough history to project Spring 2027.
Grade distribution · % of letter grades
Grades over time
Through Fall 2025
More grade details Grade mix, volume & source data
Not enough comparable courses for Spring 2027 in UW–Madison.
Sources & history
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
No offering records for the selected term.
Raw records
[]
Student reviews
Original comments behind the course and instructor summaries.
Read original reviews
No records available.
Grade history
Recorded grade distributions by term, section, and instructor.
Explore recorded gradesRecorded 2026-10-14
Model outputs & technical records
LLM outputs across runs
Full model traces
Recorded model configuration, reasoning, and tool conversations.
Model & dataset provenance
{
"model": "Qwen/Qwen3.8-27B",
"model_revision": "1d4bf0f2ff6012fd82039f2fa52739d0dd7c60c0",
"task_version": "17",
"output_id": "ca09ff372cd46f8b49cb9de2267a4c346356e13a90169efe647f3dcd56f14081",
"requirements_status": "needs_review",
"dataset_revision": "fc1811fa52e581ea57a35c0cf3343f8740a8ffbf",
"observed_at": "2026-10-14 17:50:09.728220+00:00"
}