Spring 2027

Introduction to Ergodic Theory and Dynamics

Introduction to ergodic theory and dynamics covering fundamental theorems, classical examples of one and two dimensional dynamics, and applications to group actions.

offering recorded3 credits
Recorded instructors · Spring 2027 Andrew Zimmer

Summary

1 / 3

Recent recorded grades — Spring 2024: 4.00 GPA, 100.0% A/AB (n=34 letter grades); Spring 2025: 4.00 GPA, 100.0% A/AB (n=14 letter grades); Fall 2025: 3.92 GPA, 97.3% A/AB (n=37 letter grades).

What you’ll be able to do

  • Analyze a range of mathematical proofs in discrete and continuous dynamical systems and recognize the underlying principles and techniques.

  • Write clear and well-reasoned mathematical arguments to describe the long time behavior of measure preserving transformations.

  • State the Birkhoff, von Neumann, and maximal ergodic theorems and reproduce their proofs.

  • Apply fundamental ergodic theorems from classical dynamics to low-dimensional examples such as the circle rotation, interval exchange transformations, and geodesic and horocycle flows on two dimensional manifolds.

  • Apply results in ergodic theory and dynamics to solve novel problems in geometric group theory and geometric topology.

Source: UW Guide

Grade history

↗
average GPA
letter grades
A
AB
B
BC
C
D
F

All recorded terms · compare terms & instructors

Prerequisites

Course map

Graduate/professional standing

  • Graduate/professional standing
MATH 758

This is a best-effort interpretation; check the catalog requirements above.

Prerequisite text tree
  • Graduate/professional standing

Professors

Spring 2027
Historical instructors & teaching patterns

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

Calendar & sections

Spring 2027

Schedule loads here as you scroll.

SectionModeEnrolled / capacityWaitlist
LEC 001Classroom Instruction0 / 200

Times are Central. Select a meeting for details; export includes recorded dates for the selected sections. Enrollment reflects scan time.

Meeting source records
Download part 1

Student experience

the class

Recent recorded grades — Spring 2024: 4.00 GPA, 100.0% A/AB (n=34 letter grades); Spring 2025: 4.00 GPA, 100.0% A/AB (n=14 letter grades); Fall 2025: 3.92 GPA, 97.3% A/AB (n=37 letter grades).

difficulty & workload

No workload feedback recorded.

Topics

  • Fundamental theorems of ergodic theory
  • Classical examples of one and two dimensional dynamics
  • Applications to study of group actions

Skills

  • Reproducing proofs of fundamental ergodic theorems
  • Applying ergodic theorems to low-dimensional dynamical systems
  • Solving problems in geometric group theory and topology using dynamics

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

Where this course fits relative to

Latest available grades · Fall 2025 · all course levels

GPA

Higher than % of other courses in this group.

Course GPAs · red marks this course’s range

letter grades

More recorded grades than % of other courses in this group.

Typical course in this group: letter grades.

About this comparison

1316 courses over the same term, each with at least 30 recorded letter grades. Cross-listed courses count once. GPA is not a measure of difficulty or teaching quality. The typical course is the median by recorded grade count; tied values are not counted as lower. Grade counts describe course scale, not unique students or typical section size.

Descriptions compare GPA with this group’s average: at least 0.20 higher or lower; otherwise close to average. Section size uses median recorded enrollment: small up to 30, mid-sized 31–99, large 100+. Lectures and discussion/lab sections are described separately.

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.

Download part 1
Selected offering source records
MATH 758 · Spring 2027

Introduction to Ergodic Theory and Dynamics

Recorded 2026-10-14
Raw records 
[
  {
    "run_id": "20261014T203208-0851c9a1",
    "semester": "1274",
    "observed_at": "2026-10-14 17:50:09.728220+00:00",
    "offering_id": "1274:600:026431",
    "course_id": "MATH 758",
    "course_uid": "course_e02dda0c80f5eb64763f2690",
    "term_id": "1274",
    "source_course_id": "026431",
    "source_subject_id": "600",
    "title": "Introduction to Ergodic Theory and Dynamics",
    "credits_min": 3,
    "credits_max": 3,
    "typically_offered": "Not Applicable"
  }
]
Rate My Professors

Student reviews

Original comments behind the course and instructor summaries.

Read original reviews

No records available.

Madgrades

Grade history

Recorded grade distributions by term, section, and instructor.

Explore recorded grades
Dataset & model

Recorded 2026-10-14

View the dataset on Hugging Face
Model outputs & technical records
Qwen/Qwen3.8-27B
LLM outputs across runs
Download part 1
Full model traces

Recorded model configuration, reasoning, and tool conversations.

Download part 1
Model & dataset provenance 
{
  "model": "Qwen/Qwen3.8-27B",
  "model_revision": "1d4bf0f2ff6012fd82039f2fa52739d0dd7c60c0",
  "task_version": "17",
  "output_id": "0b0fa939485c1ca1c3937d9ffba6c6e9acfa7aaedb4566d66c25b91400a879e0",
  "requirements_status": "valid",
  "dataset_revision": "fc1811fa52e581ea57a35c0cf3343f8740a8ffbf",
  "observed_at": "2026-10-14 17:50:09.728220+00:00"
}