Spring 2027

A First Course in Real Analysis

A first course in real analysis covering measures, integration, differentiation, and an introduction to Hilbert spaces.

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

Summary

1 / 6

Past student reviews · Betsy (Lindsay) Stovall

Homework assignments and exams were consistently described as difficult, requiring significant effort to master the advanced concepts.

Grade history

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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 721

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

Spring 2027

No instructors recorded for this selection.

Historical instructors & teaching patterns

ALEXANDRU IONESCU is recorded teaching in Fall 2009. 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

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 · Betsy (Lindsay) Stovall

A rigorous graduate course in harmonic analysis led by an expert, where challenging material is balanced by supportive instruction and generous grading.

Recent recorded grades — Fall 2023: 3.42 GPA, 53.5% A/AB (n=43 letter grades); Fall 2024: 3.46 GPA, 66.7% A/AB (n=42 letter grades); Fall 2025: 3.47 GPA, 67.7% A/AB (n=31 letter grades).

difficulty & workload

Past student reviews · Betsy (Lindsay) Stovall

Homework assignments and exams were consistently described as difficult, requiring significant effort to master the advanced concepts.

Past student reviews · Betsy (Lindsay) Stovall

Students found the instructor to be very helpful and caring, noting that despite the hard work, the learning experience was valuable.

Topics

  • Measures, integration, and differentiation
  • Hilbert spaces

Skills

  • Analysis of measures, integration, and differentiation
  • Introduction to Hilbert spaces

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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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": "2d27af681b99304e8da519eb0d9fb0014905824bc16bbadf025fdb27eb014d44",
  "requirements_status": "needs_review",
  "dataset_revision": "fc1811fa52e581ea57a35c0cf3343f8740a8ffbf",
  "observed_at": "2026-10-14 17:50:09.728220+00:00"
}