Fall 2026

Theory of Probability I

Theory of Probability I introduces measure theoretic probability and stochastic processes.

offering recorded3 credits
Recorded instructors · Fall 2026 David Anderson

Summary

1 / 6

Historical reviews of Hao Shen, Jun Yin: Jun Yin's materials were hard with a weird curve, while Hao Shen was very test-heavy and did not provide proper preparation for exams.

Grade history

average GPA
letter grades
A
AB
B
BC
C
D
F

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/STAT 733

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

Recent recorded grades — Fall 2018: 3.49 GPA, 62.2% A/AB (n=45 letter grades); Fall 2025: 3.59 GPA, 79.3% A/AB (n=29 letter grades).

Historical instructors & teaching patterns

Historical reviews for Timo Seppalainen describe him as an exceptional lecturer with clear explanations and proofs. Reviewers rated his teaching highly, noting his clarity in explaining concepts and providing proofs. These positive experiences suggest he is a strong instructor for this course.

DAVID ANDERSON is recorded teaching in Fall 2018, Fall 2025. Recorded history may be incomplete and does not establish a future schedule.

HAO SHEN is recorded teaching in Fall 2023. Recorded history may be incomplete and does not establish a future schedule.

JUN YIN is recorded teaching in Fall 2014. Recorded history may be incomplete and does not establish a future schedule.

PHILIP WOOD is recorded teaching in Fall 2015. Recorded history may be incomplete and does not establish a future schedule.

SEBASTIEN ROCH is recorded teaching in Fall 2013. Recorded history may be incomplete and does not establish a future schedule.

TIMO SEPPALAINEN is recorded teaching in Fall 2014, Fall 2017, Fall 2024. 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

Schedule loads here as you scroll.

SectionModeEnrolled / capacityWaitlist
LEC 001Classroom Instruction44 / 540
LEC 001Classroom Instruction4 / 540

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

Meeting source records

Student experience

the class

Historical reviews for Timo Seppalainen describe him as one of the best instructors in the department, noting his super clear explanations of concepts and proofs.

Recent recorded grades — Fall 2023: 3.39 GPA, 65.2% A/AB (n=46 letter grades); Fall 2024: 3.45 GPA, 58.1% A/AB (n=43 letter grades); Fall 2025: 3.59 GPA, 79.3% A/AB (n=29 letter grades).

difficulty & workload

Historical reviews of Hao Shen, Jun Yin: Jun Yin's materials were hard with a weird curve, while Hao Shen was very test-heavy and did not provide proper preparation for exams.

Historical reviews of Philip Wood: Philip Wood set a doable pace for the measure theory intro and chose interesting homework problems, particularly doing a great job with martingales.

Topics

  • Foundations, independence, zero-one laws, laws of large numbers
  • Convergence in distribution, characteristic functions, central limit theorems
  • Random walks, conditional expectations

Skills

  • Measure theoretic probability
  • Analysis of stochastic processes and limit theorems

Grades

Latest available · Fall 2025— 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 Fall 2025

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

Observations at scan time; dates do not imply when a catalog change took effect.

Selected offering source records
MATH/STAT 733 · Fall 2026

Theory of Probability I

Recorded 2026-09-07
MATH/STAT 733 · Fall 2026

Theory of Probability I

Recorded 2026-09-07
Raw records
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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
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