Fall 2026

A Second Course in Real Analysis

A graduate course continuing real analysis to cover Banach spaces, Fourier transforms, and distribution theory.

no offering record for this termCredits unavailable
Recorded instructors · Fall 2026 No instructors listed

Summary

1 / 5

Historical reviews of Serguei Denissov: The course is described as intense, with a difficulty rating of 3, suggesting significant challenge and pressure.

Grade history

average GPA
letter grades
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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 or member of the Pre-Masters Mathematics (Visiting International) Program
MATH 725

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

Prerequisite text tree
  • Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program

Professors

Fall 2026

No instructors recorded for this selection.

Historical instructors & teaching patterns

Historical reviews of Serguei Denissov: Serguei Denissov is described as a fantastic professor for analysts or those considering the field. One review notes that the course is intense, advising students who cannot handle the pressure to drop the class.

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

Fall 2026

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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 Serguei Denissov: Serguei Denissov is highly recommended for analysts, though the course is intense and unsuitable for those unable to handle the pressure.

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

Historical reviews of Serguei Denissov: The course is described as intense, with a difficulty rating of 3, suggesting significant challenge and pressure.

Historical reviews of Serguei Denissov: The professor is considered fantastic for those interested in analysis, but the environment is harsh for those who cannot handle the heat.

Topics

  • Banach spaces
  • Fourier transforms
  • Distribution theory

Skills

  • Understanding Banach spaces and Fourier transforms
  • Applying distribution theory

Grades

Latest available · Spring 2026— not enough history to project Fall 2026.

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 Fall 2026 in UW–Madison.

Sources & history

UW–Madison

Catalog & offerings

Descriptions, prerequisites, and recorded course offerings.

Catalog observation history

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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.

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Madgrades

Grade history

Recorded grade distributions by term, section, and instructor.

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Model outputs & technical records
nvidia/Qwen3.6-35B-A3B-NVFP4
LLM outputs across runs
Full model traces

Recorded model configuration, reasoning, and tool conversations.

Model & dataset provenance
{
  "model": "nvidia/Qwen3.6-35B-A3B-NVFP4",
  "model_revision": "1355db6a052410cfd62085d94b58866fd0f2c3c5",
  "task_version": "14",
  "output_id": "3a65a452546d5d6ba5b12c8e8b985a4edcaa131d00d83861bef3f16ac44648ac",
  "requirements_status": "needs_review",
  "dataset_revision": "e243353dcb7d79b7247ced91d69443ef4c2a6349",
  "observed_at": "2026-09-07 15:55:43.033547+00:00"
}