Spring 2027

Introductory Topology I

Introductory Topology I covers algebraic and differential topology, including homotopy theory, differentiable manifolds, and homological algebra with calculations for surfaces and projective spaces.

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

Summary

1 / 3

Recent recorded grades — Fall 2023: 3.83 GPA, 96.3% A/AB (n=27 letter grades); Fall 2024: 3.64 GPA, 81.8% A/AB (n=22 letter grades); Fall 2025: 3.81 GPA, 82.8% A/AB (n=29 letter grades).

Grade history

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average GPA
letter grades
A
AB
B
BC
C
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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 751

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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Student experience

the class

Recent recorded grades — Fall 2023: 3.83 GPA, 96.3% A/AB (n=27 letter grades); Fall 2024: 3.64 GPA, 81.8% A/AB (n=22 letter grades); Fall 2025: 3.81 GPA, 82.8% A/AB (n=29 letter grades).

difficulty & workload

No workload feedback recorded.

Topics

  • Algebraic topology: homotopy theory, fundamental group, covering spaces
  • Differential topology: differentiable manifolds, tangent vectors, regular values, transversality, compact Lie groups
  • Homological algebra: chain complexes, cell complexes, singular and cellular homology, calculations for surfaces, spheres, projective spaces

Skills

  • Introduction to algebraic and differential topology including homotopy theory, fundamental group, and covering spaces
  • Differentiable manifolds, tangent vectors, regular values, transversality, and compact Lie groups
  • Homological algebra, chain complexes, cell complexes, singular and cellular homology, and calculations for surfaces, spheres, and projective spaces

Grades

Latest available · Fall 2025— 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 2025

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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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
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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": "92815132d009ea6f3415b7a6f9734e66d34e41c7dd8814a017cad28848c0bc6a",
  "requirements_status": "needs_review",
  "dataset_revision": "fc1811fa52e581ea57a35c0cf3343f8740a8ffbf",
  "observed_at": "2026-10-14 17:50:09.728220+00:00"
}