Recent recorded grades — Spring 2023: 3.68 GPA, 90.9% A/AB (n=11 letter grades).
Spring 2027
Introduction to Algebraic Topology
Introduction to algebraic topology emphasizing geometric aspects: two-dimensional manifolds, fundamental group, covering spaces, simplicial homology, Euler-Poincare formula, and homotopy classes.
offering recorded3 credits
Recorded instructors · Spring 2027 Tullia Dymarz3.3/5
Summary
1 / 3
Recent recorded grades — Spring 2024: 3.57 GPA, 78.6% A/AB (n=14 letter grades); Spring 2025: 3.57 GPA, 71.4% A/AB (n=21 letter grades); Spring 2026: 3.54 GPA, 92.3% A/AB (n=13 letter grades).
What you’ll be able to do
Recall and state the formal definitions of the mathematical objects and their properties used in algebraic topology (e.g., covering spaces, universal covering spaces, fundamental group, CW-complexes, closed oriented surfaces, homology, euler characteristic, etc.).
Use such definitions to argue that a mathematical object does or does not have the condition of being a particular type or having a particular property (e.g., a set is simply connected, two sets are homotopic, etc.).
Recall and state the standard theorems of algebraic topology (e.g., the classification of closed oriented surfaces, etc.), and recall the arguments for these theorems and the underlying logic of their proofs.
Use such theorems in the context of longer arguments by examining their premises.
Prove or disprove statements related to the above definitions, properties, and theorems using techniques of mathematical argument (direct methods, indirect methods, constructing examples and counterexamples etc.).
Convey arguments using English and appropriate mathematical terminology, notation and grammar.
Identify applications of course content in current areas of research.
Source: UW Guide
Grade history
↗ average GPA
146146 letter grades
A65.8%65.8%
AB16.4%16.4%
B9.6%9.6%
BC4.8%4.8%
C1.4%1.4%
D2.1%2.1%
F0.0%0.0%
All recorded terms · compare terms & instructors
Prerequisites
Course map(MATH 541 and 551), graduate/professional standing, or declared in Mathematics VISP (undergraduate or graduate)
This is a best-effort interpretation; check the catalog requirements above.
Professors
Spring 2027Historical instructors & teaching patterns
TULLIA DYMARZ is recorded teaching in Spring 2023. 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 |
|---|---|---|---|
| LEC 001 | Classroom Instruction | 0 / 24 | 0 |
Times are Central. Select a meeting for details; export includes recorded dates for the selected sections. Enrollment reflects scan time.
Meeting source records
Student experience
the class
Recent recorded grades — Spring 2024: 3.57 GPA, 78.6% A/AB (n=14 letter grades); Spring 2025: 3.57 GPA, 71.4% A/AB (n=21 letter grades); Spring 2026: 3.54 GPA, 92.3% A/AB (n=13 letter grades).
difficulty & workload
No workload feedback recorded.
Topics
- Geometric aspects of algebraic topology.
- Two-dimensional manifolds.
- Fundamental group.
- Covering spaces.
- Basic simplicial homology theory.
- Euler-Poincare formula.
- Homotopy classes of mappings.
Skills
- Recall and state formal definitions of mathematical objects in algebraic topology.
- Argue whether mathematical objects possess specific types or properties.
- Recall standard theorems and the logic of their proofs.
- Apply theorems within longer arguments by examining premises.
- Prove or disprove statements using direct and indirect methods.
- Convey arguments using appropriate mathematical terminology and notation.
- Identify applications of course content in current research.
Grades
Latest available · Spring 2026— not enough history to project Spring 2027.
average GPA
A / AB grades
letter grades
Instructor
Grade distribution · % of letter grades
A46.2%46.2%
AB46.2%46.2%
B0.0%0.0%
BC0.0%0.0%
C0.0%0.0%
D7.7%7.7%
F0.0%0.0%
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
UW–Madison
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
Introduction to Algebraic Topology
Recorded 2026-10-14Raw records
[
{
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"semester": "1274",
"observed_at": "2026-10-14 17:50:09.728220+00:00",
"offering_id": "1274:600:011688",
"course_id": "MATH 552",
"course_uid": "course_f3a8939677c7077ccc5559d5",
"term_id": "1274",
"source_course_id": "011688",
"source_subject_id": "600",
"title": "Introduction to Algebraic Topology",
"credits_min": 3,
"credits_max": 3,
"typically_offered": "Spring"
}
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Student reviews
Original comments behind the course and instructor summaries.
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Madgrades
Grade history
Recorded grade distributions by term, section, and instructor.
Explore recorded gradesDataset & model
View the dataset on Hugging Face Recorded 2026-10-14
Model outputs & technical records
Qwen/Qwen3.8-27B
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": "b5db42f6050264fb3152942eadc0f5b846d0ba37dfd0baa86e2c95d4c8a7c2b9",
"requirements_status": "needs_review",
"dataset_revision": "fc1811fa52e581ea57a35c0cf3343f8740a8ffbf",
"observed_at": "2026-10-14 17:50:09.728220+00:00"
}