Spring 2027

Introduction to Measure and Integration

Introduction to Measure and Integration covering the Lebesgue integral, abstract measure, differentiation, and spaces of integrable functions.

offering recorded3 credits
Recorded instructors · Spring 2027 Andrew Zimmer

Summary

1 / 6

Past student reviews · Joris Roos

Homework assignments were generally not easy, but students noted that putting in consistent effort allowed them to manage the workload successfully.

What you’ll be able to do

  • Recall and state the formal definitions of the mathematical objects and their properties used in measure theory (e.g., measures and measurability, Lebesgue integral, absolute continuity, product measures, Lp spaces, 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., that a measure is absolutely continuous with respect to another one, that a sequence of functions converge almost everywhere or in measure, etc.).

  • Recall and state the standard theorems of measure theory (e.g., Fatou's Lemma, Egoroff's theorem, Hahn decomposition theorem, monotone convergence theorem, dominated convergence theorem, Holder's inequality, etc.), and recall the arguments for these theorems and the underlying logic of their proofs.

  • 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 in oral and written forms using English and appropriate mathematical terminology, notation and grammar.

  • Identify applications of course content in current areas of research.

Source: UW Guide

Grade history

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average GPA
letter grades
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All recorded terms · compare terms & instructors

Prerequisites

Course map

MATH 522 or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program

    • MATH 522
    • graduate/professional standing
    • member of the Pre-Masters Mathematics (Visiting International) Program
    take one
MATH 629

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

Prerequisite text tree
  • Any of
    • MATH 522
    • graduate/professional standing
    • member of the Pre-Masters Mathematics (Visiting International) Program

Professors

Spring 2027
Historical instructors & teaching patterns

ALEXANDER FISH is recorded teaching in Spring 2011. Recorded history may be incomplete and does not establish a future schedule.

ANDREAS SEEGER is recorded teaching in Spring 2010, Spring 2018, Spring 2024, Spring 2026. Recorded history may be incomplete and does not establish a future schedule.

BRIAN STREET is recorded teaching in Spring 2013, Spring 2015. Recorded history may be incomplete and does not establish a future schedule.

FEDOR NAZAROV is recorded teaching in Spring 2008. Recorded history may be incomplete and does not establish a future schedule.

JORIS ROOS is recorded teaching in Spring 2019, Spring 2020. Recorded history may be incomplete and does not establish a future schedule.

SHENGWEN GAN is recorded teaching in Spring 2025. 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

Schedule loads here as you scroll.

SectionModeEnrolled / capacityWaitlist
LEC 001Classroom Instruction0 / 250

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

Meeting source records
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Student experience

the class

Past student reviews · Andreas Seeger, Joris Roos

Students found the upper-level analysis material extremely difficult, requiring significant time to absorb concepts. Some praised the structured lectures, while others reported that the pace was too fast to follow.

Recent recorded grades — Spring 2024: 3.62 GPA, 66.7% A/AB (n=12 letter grades); Spring 2025: 3.52 GPA, 80.0% A/AB (n=20 letter grades); Spring 2026: 3.34 GPA, 62.5% A/AB (n=16 letter grades).

difficulty & workload

Past student reviews · Joris Roos

Homework assignments were generally not easy, but students noted that putting in consistent effort allowed them to manage the workload successfully.

Past student reviews · Joris Roos, Shengwen Gan

Experiences with assessments varied widely; one student found exams to be direct applications of theorems, while another found them confusing with problems drawn from a broad range of the textbook.

Topics

  • Lebesgue integral and measure
  • Abstract measure and integration
  • Differentiation
  • Spaces of integrable functions

Skills

  • Formal definitions of measure theory objects
  • Mathematical proof and disproof techniques
  • Standard theorems and proof logic in measure theory

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

A
AB
B
BC
C
D
F

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.

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Selected offering source records
MATH 629 · Spring 2027

Introduction to Measure and Integration

Recorded 2026-10-14
Raw records 
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  {
    "run_id": "20261014T203208-0851c9a1",
    "semester": "1274",
    "observed_at": "2026-10-14 17:50:09.728220+00:00",
    "offering_id": "1274:600:011700",
    "course_id": "MATH 629",
    "course_uid": "course_bac5b63415c0e4cd6d5c3848",
    "term_id": "1274",
    "source_course_id": "011700",
    "source_subject_id": "600",
    "title": "Introduction to Measure and Integration",
    "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.

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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
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": "9ca591ff7a9d6d3a33aff9bc4efb893ce79810f82de3b61e754cb54b5f112eda",
  "requirements_status": "needs_review",
  "dataset_revision": "fc1811fa52e581ea57a35c0cf3343f8740a8ffbf",
  "observed_at": "2026-10-14 17:50:09.728220+00:00"
}