Spring 2027

Topics in Differential Topology

Topics in Differential Topology covering the theory of differential manifolds, including differential forms, de Rham theorem, Lie groups, and fiber bundles.

no offering record for this termCredits unavailable
Recorded instructors · Spring 2027 No instructors listed

Summary

1 / 2

Recent recorded grades — Fall 2015: 4.00 GPA, 100.0% A/AB (n=21 letter grades); Fall 2017: 4.00 GPA, 100.0% A/AB (n=6 letter grades); Fall 2021: 4.00 GPA, 100.0% A/AB (n=15 letter grades).

Grade history

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average GPA
letter grades
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AB
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Prerequisites

Course map

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

    • Graduate/professional standing
    • member of the Pre-Masters Mathematics (Visiting International) Program
    take one
MATH 856

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 2027

No instructors recorded for this selection.

Historical instructors & teaching patterns

Recorded history may be incomplete and does not establish a future schedule.

Calendar & sections

Spring 2027

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Meeting source records

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Student experience

the class

Recent recorded grades — Fall 2015: 4.00 GPA, 100.0% A/AB (n=21 letter grades); Fall 2017: 4.00 GPA, 100.0% A/AB (n=6 letter grades); Fall 2021: 4.00 GPA, 100.0% A/AB (n=15 letter grades).

difficulty & workload

No workload feedback recorded.

Topics

  • Differential manifolds, differential forms, de Rham theorem, cobordism groups, Lie groups, homogeneous spaces, fiber bundles, characteristic classes

Skills

  • Theory of differential manifolds, differential forms, de Rham theorem, cobordism groups, Lie groups, homogeneous spaces, fiber bundles, and characteristic classes.

Grades

Latest available · Fall 2021— 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 Fall 2021

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

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Grade history

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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
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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": "30d6375ef15fe3c25e0fb9d7b012702795300ba07565cc9577e62ff9cee1799a",
  "requirements_status": "needs_review",
  "dataset_revision": "fc1811fa52e581ea57a35c0cf3343f8740a8ffbf",
  "observed_at": "2026-10-14 17:50:09.728220+00:00"
}