MATH 761 covers differentiable manifolds, vector bundles, differential forms, and Riemannian metrics.
Homework assignments are difficult and require significant time to solve step-by-step.
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Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program
This is a best-effort interpretation; check the catalog requirements above.
Sean Paul receives polarized feedback regarding his teaching organization and lecture style. One reviewer found his lectures unorganized and lacking notes, while another found them exciting and helpful for concentration. Review 2 notes his homework is difficult, while Review 1 finds exams easy.
Recent recorded grades — Fall 2013: 4.00 GPA, 100.0% A/AB (n=13 letter grades); Spring 2019: 4.00 GPA, 100.0% A/AB (n=15 letter grades); Spring 2022: 3.85 GPA, 92.3% A/AB (n=13 letter grades).
Historical reviews for Alex Waldron describe difficult lectures and harsh grading that diagnose student problems. One reviewer found the professor difficult to get along with.
ALEX WALDRON is recorded teaching in Fall 2024. Recorded history may be incomplete and does not establish a future schedule.
SEAN PAUL is recorded teaching in Fall 2013, Spring 2019, Spring 2022. Recorded history may be incomplete and does not establish a future schedule.
Recorded history may be incomplete and does not establish a future schedule.
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| Section | Mode | Enrolled / capacity | Waitlist |
|---|---|---|---|
| LEC 001 | Classroom Instruction | 17 / 40 | 0 |
Times are Central. Select a meeting for details; export includes recorded dates for the selected sections. Enrollment reflects scan time.
Sean Paul's teaching style elicits polarized reactions, with students describing his lectures as either unorganized and unhelpful or exciting and engaging.
Recent recorded grades — Spring 2024: 3.96 GPA, 100.0% A/AB (n=24 letter grades); Fall 2024: 3.71 GPA, 85.7% A/AB (n=14 letter grades); Fall 2025: 3.69 GPA, 79.3% A/AB (n=29 letter grades).
Homework assignments are difficult and require significant time to solve step-by-step.
Students may find the lack of lecture notes and disorganized structure frustrating, leading to a perception that they learn little from the instruction.
Latest available · Fall 2025— not enough history to project Fall 2026.
Through Fall 2025
Not enough comparable courses for Fall 2026 in UW–Madison.
Descriptions, prerequisites, and recorded course offerings.
Observations at scan time; dates do not imply when a catalog change took effect.
Differentiable Manifolds
Recorded 2026-09-07[
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]Original comments behind the course and instructor summaries.
Recorded grade distributions by term, section, and instructor.
Explore recorded gradesRecorded model configuration, reasoning, and tool conversations.
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