Ordinary Differential Equations
Ordinary Differential Equations covers existence, uniqueness, linear systems, stability, singular points, boundary value problems, and qualitative behavior of nonlinear equations including Lyapunov functions and bifurcation theory.
Summary
Past student reviews · Sigurd Angenent
Homework was not assigned until the final three weeks of the term.
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
- member of the Pre-Masters Mathematics (Visiting International) Program
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 2027No instructors recorded for this selection.
Historical instructors & teaching patterns
SIGURD ANGENENT is recorded teaching in Spring 2020. 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 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
No records available.
Student experience
the class
Past student reviews · Sigurd Angenent
Students found the explanations clear and intuitive, supported by helpful visual aids.
Recent recorded grades — Spring 2020: 4.00 GPA, 100.0% A/AB (n=22 letter grades); Spring 2025: 3.97 GPA, 100.0% A/AB (n=18 letter grades); Spring 2026: 3.93 GPA, 96.3% A/AB (n=27 letter grades).
difficulty & workload
Past student reviews · Sigurd Angenent
Homework was not assigned until the final three weeks of the term.
Past student reviews · Sigurd Angenent
Some students wished for more consistent assignment schedules throughout the course.
Topics
- Existence, uniqueness, and continuous dependence theorems
- Linear systems, stability, singular points, and boundary value problems
- Qualitative behavior of nonlinear equations, Lyapunov functions, invariant manifolds, bifurcation theory, periodic orbits, and connecting orbits
Skills
- Analyze existence, uniqueness, and continuous dependence theorems for ordinary differential equations.
- Study linear systems, stability, singular points, and boundary value problems.
- Examine qualitative behavior of nonlinear equations using Lyapunov functions, invariant manifolds, bifurcation theory, and periodic orbits.
Grades
Latest available · Spring 2026— not enough history to project Spring 2027.
Grade distribution · % of letter grades
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
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
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": "c0980c7ade954460e39b52483d309500569a811bced4796ad46e07507b10168c",
"requirements_status": "needs_review",
"dataset_revision": "fc1811fa52e581ea57a35c0cf3343f8740a8ffbf",
"observed_at": "2026-10-14 17:50:09.728220+00:00"
}