Theory of Probability I
This course introduces measure theoretic probability and stochastic processes, including convergence results and central limit theorems.
Summary
Past student reviews · Hao Shen
The course was test-heavy, and students felt the professor did not provide proper preparation for exams.
Grade history
↗All recorded terms · compare terms & instructors
Prerequisites
Course mapGraduate/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
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 2027No instructors recorded for this selection.
Historical instructors & teaching patterns
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
Spring 2027Schedule loads here as you scroll.
| Section | Mode | Enrolled / capacity | Waitlist |
|---|
Times are Central. Select a meeting for details; export includes recorded dates for the selected sections.
Meeting source records
Student experience
the class
Past student reviews · Timo Seppalainen
Students described the instruction as one of the best in the department.
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
Past student reviews · Hao Shen
The course was test-heavy, and students felt the professor did not provide proper preparation for exams.
Past student reviews · Timo Seppalainen
A student found the instructor super clear in explaining concepts and giving proofs, rating the experience highly.
Topics
- Foundations, independence, zero-one laws, laws of large numbers, convergence in distribution, characteristic functions, central limit theorems, random walks, and conditional expectations
Skills
- Measure theoretic probability
- Stochastic process analysis including convergence and limit theorems
Grades
Latest available · Fall 2025— not enough history to project Spring 2027.
Grade distribution · % of letter grades
Grades over time
Through Fall 2025
More grade details Grade mix, volume & source data
Not enough comparable courses for Spring 2027 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 gradesRecorded 2026-10-14
Model outputs & technical records
LLM outputs across runs
Full model traces
Recorded model configuration, reasoning, and tool conversations.
Model & dataset provenance
{
"model": "Qwen/Qwen3.8-27B",
"model_revision": "1d4bf0f2ff6012fd82039f2fa52739d0dd7c60c0",
"task_version": "17",
"output_id": "3ed1747dc4866ffb7d471f3465f4c4fe22872231e30807b6e5e0a645d29f2acf",
"requirements_status": "needs_review",
"dataset_revision": "fc1811fa52e581ea57a35c0cf3343f8740a8ffbf",
"observed_at": "2026-10-14 17:50:09.728220+00:00"
}