Spring 2027

Abstract Algebra

Abstract Algebra course usually studying finite groups and noncommutative rings, covering group and ring theoretic topics as advanced graduate material.

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

Summary

1 / 6

Past student reviews · Jordan Ellenberg

Homework assignments were interesting and unique but took a pretty long time to finish, contributing to a moderate difficulty level.

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 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 741

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

DONALD PASSMAN is recorded teaching in Fall 2006, Fall 2007, Fall 2009, Fall 2011. Recorded history may be incomplete and does not establish a future schedule.

JORDAN ELLENBERG is recorded teaching in Fall 2012, Fall 2013, Fall 2014, Fall 2016, Fall 2017, Fall 2019, Fall 2020, Fall 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 2027

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SectionModeEnrolled / capacityWaitlist

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

Meeting source records
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Student experience

the class

Past student reviews · Jordan Ellenberg

Jordan Ellenberg delivered incredible lectures that made the course coherent and intuitive, earning high praise for his teaching quality.

Recent recorded grades — Fall 2023: 3.69 GPA, 84.4% A/AB (n=45 letter grades); Fall 2024: 3.55 GPA, 75.0% A/AB (n=32 letter grades); Fall 2025: 3.53 GPA, 64.5% A/AB (n=31 letter grades).

difficulty & workload

Past student reviews · Jordan Ellenberg

Homework assignments were interesting and unique but took a pretty long time to finish, contributing to a moderate difficulty level.

Past student reviews · Jordan Ellenberg

Students found the professor to be the best they had ever met, valuing the intuitive approach to the material despite the time-intensive homework.

Topics

  • Finite groups: permutation groups, Lagrange's theorem, Cauchy's theorem, Sylow theorems, solvable and nilpotent groups
  • Noncommutative rings: Artinian rings and modules, Wedderburn theorems, Hopkins-Levitzki theorem, Jacobson radical and density theorem

Skills

  • Study of finite groups and noncommutative rings
  • Permutation groups, Lagrange's theorem, Cauchy's theorem, Sylow theorems, solvable and nilpotent groups
  • Artinian rings and modules, Wedderburn theorems, Hopkins-Levitzki theorem, Jacobson radical and density theorem

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.

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Selected offering source records

No offering records for the selected term.

Raw records 
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Rate My Professors

Student reviews

Original comments behind the course and instructor summaries.

Read original reviews
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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
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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": "fb00e4d43c4157a5f0b359b79654888b0541073f54526bfb64c7162dbe863caf",
  "requirements_status": "needs_review",
  "dataset_revision": "fc1811fa52e581ea57a35c0cf3343f8740a8ffbf",
  "observed_at": "2026-10-14 17:50:09.728220+00:00"
}