Introduction to Measure and Integration
Introduction to measure and integration, covering Lebesgue integrals, abstract measure theory, differentiation, and spaces of integrable functions.
Summary
Historical reviews of Andreas Seeger, Joris Roos, Shengwen Gan: The material is extremely difficult and moves fast, requiring significant time to absorb. Homework is generally not easy, though exams may be straightforward applications of theorems or confusingly broad depending on the instructor.
Grade history
↗letter grades
All recorded terms · compare terms & instructors
Prerequisites
Course mapMATH 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
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
Fall 2026No instructors recorded for this selection.
Historical instructors & teaching patterns
Historical reviews of Fedor Nazarov: Fedor Nazarov is described as helpful in office hours with clear, rigorous notes, though he rarely returns graded work. He also tells students almost exactly what will be on the test.
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
Fall 2026Schedule loads here as you scroll.
| Section | Mode | Enrolled / capacity | Waitlist |
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Times are Central. Select a meeting for details; export includes recorded dates for the selected sections.
Meeting source records
No records available.
Student experience
the class
Historical reviews of Andreas Seeger, Joris Roos, Shengwen Gan: Reviews describe MATH 629 as an extremely difficult upper-level analysis course. Some students find the instruction rigorous and valuable, while others report that lectures are confusing, poorly organized, or lack sufficient support.
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
Historical reviews of Andreas Seeger, Joris Roos, Shengwen Gan: The material is extremely difficult and moves fast, requiring significant time to absorb. Homework is generally not easy, though exams may be straightforward applications of theorems or confusingly broad depending on the instructor.
Historical reviews of Andreas Seeger, Brian Street, Fedor Nazarov, Joris Roos, Shengwen Gan: Experiences vary widely; some students find professors helpful and lectures well-structured, while others report boring lectures, messy proofs, and a lack of support. Reviewers suggest preparing for a challenging course with minimal guidance.
Topics
Skills
Grades
Latest available · Spring 2026— not enough history to project Fall 2026.
Grade distribution · % of letter grades
Grades over time
Through Spring 2026
More grade details Grade mix, volume & source data
Not enough comparable courses for Fall 2026 in UW–Madison.
Sources & history
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
No offering records for the selected term.
Raw records
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Student reviews
Original comments behind the course and instructor summaries.
Read original reviews
Grade history
Recorded grade distributions by term, section, and instructor.
Explore recorded gradesModel outputs & technical records
LLM outputs across runs
Full model traces
Recorded model configuration, reasoning, and tool conversations.
Model & dataset provenance
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"model_revision": "1355db6a052410cfd62085d94b58866fd0f2c3c5",
"task_version": "14",
"output_id": "0a0f296a6ba32c2e136e421934a38b98f513712ec4ef4888afb9791652637e66",
"requirements_status": "valid",
"dataset_revision": "e243353dcb7d79b7247ced91d69443ef4c2a6349",
"observed_at": "2026-09-07 15:55:43.033547+00:00"
}