Spring 2027

A Second Course in Real Analysis

A second course in real analysis covering Banach spaces, Fourier transforms, distribution theory, and applications.

offering recorded3 credits
Recorded instructors · Spring 2027 Sergey Denisov

Summary

1 / 5

Past student reviews · Serguei Denissov

The workload was characterized as demanding, with one student advising that those unable to handle the heat should leave the kitchen.

Grade history

↗
average GPA
letter grades
A
AB
B
BC
C
D
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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 725

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
Historical instructors & teaching patterns

SERGUEI DENISSOV is recorded teaching in Spring 2010, Spring 2011, Spring 2013, Spring 2014, 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 2027

Schedule loads here as you scroll.

SectionModeEnrolled / capacityWaitlist
LEC 001Classroom Instruction0 / 300

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 · Serguei Denissov

Students described the course as intense, noting that if you cannot handle the pressure, you should not take it.

Recent recorded grades — Spring 2024: 3.95 GPA, 100.0% A/AB (n=22 letter grades); Spring 2025: 3.47 GPA, 61.1% A/AB (n=18 letter grades); Spring 2026: 3.47 GPA, 66.7% A/AB (n=18 letter grades).

difficulty & workload

Past student reviews · Serguei Denissov

The workload was characterized as demanding, with one student advising that those unable to handle the heat should leave the kitchen.

Past student reviews · Serguei Denissov

A past student praised the instructor as fantastic, specifically recommending the class for analysts or those aspiring to become one.

Topics

  • Banach spaces
  • Fourier transforms
  • Distribution theory

Skills

  • Understanding Banach spaces, Fourier transforms, and distribution 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 725 · Spring 2027

A Second Course in Real Analysis

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": "1274:600:011732",
    "course_id": "MATH 725",
    "course_uid": "course_d5519f57ac7e657b6d2a0c6e",
    "term_id": "1274",
    "source_course_id": "011732",
    "source_subject_id": "600",
    "title": "A Second Course in Real Analysis",
    "credits_min": 3,
    "credits_max": 3,
    "typically_offered": "Occasionally"
  }
]
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
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": "757ef8a6b076e086496dc3b9ee16966878e31683c2da37d2e359e057f8584e65",
  "requirements_status": "needs_review",
  "dataset_revision": "fc1811fa52e581ea57a35c0cf3343f8740a8ffbf",
  "observed_at": "2026-10-14 17:50:09.728220+00:00"
}