Fall 2026

Probability Theory

A rigorous introduction to probability theory covering axioms, random variables, and classical limit theorems.

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

Summary

1 / 5

Historical reviews of Vadim Gorin: Homework difficulty varies drastically, ranging from manageable to really difficult, and the final exam can be harder than previous years.

Grade history

average GPA
letter grades
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All recorded terms · compare terms & instructors

Prerequisites

Course map

MATH 376, 421, or521 or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program

“Used by” includes alternatives; linked courses may have other requirements. This is a best-effort interpretation; check the catalog requirements above.

Prerequisite text tree

Professors

Fall 2026

No instructors recorded for this selection.

Historical instructors & teaching patterns

Historical reviews of Benedek Valko: Benedek Valko is described as responsible, helpful, and excellent in academic skills. Reviewers highlight his ability to help students maximize their potential regardless of initial levels, fostering enjoyment of learning.

BENEDEK VALKO is recorded teaching in Spring 2015, Spring 2016, Spring 2019, Spring 2020, Spring 2023. Recorded history may be incomplete and does not establish a future schedule.

VADIM GORIN is recorded teaching in Spring 2022. 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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SectionModeEnrolled / capacityWaitlist

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 describe MATH 531 as engaging with supportive instruction, though workload difficulty varies significantly by instructor.

Recent recorded grades — Spring 2024: 2.94 GPA, 48.1% A/AB (n=27 letter grades); Spring 2025: 3.06 GPA, 56.0% A/AB (n=25 letter grades); Spring 2026: 3.13 GPA, 46.7% A/AB (n=30 letter grades).

difficulty & workload

Historical reviews of Vadim Gorin: Homework difficulty varies drastically, ranging from manageable to really difficult, and the final exam can be harder than previous years.

Historical reviews of Benedek Valko: Students report high satisfaction with instructor support and academic guidance, noting that teaching style helps maximize student potential.

Topics

  • Foundations of probability: axioms, conditional probability, independence, random variables, and expectation.
  • Classical results: DeMoivre-Laplace limit theorems, simple random walks, and generating functions.

Skills

  • Probability theory basics, limit theorems, random walks, and generating functions.

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

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AB
B
BC
C
D
F

Grades over time

Through Spring 2026

More grade details Grade mix, volume & source data

Where this course fits relative to

Latest available grades · Spring 2026 · 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

1283 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.

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
Madgrades

Grade history

Recorded grade distributions by term, section, and instructor.

Explore recorded grades
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": "043b9390d6ba6720a99d5816e32d366767b0f57d2448ee67aa3a5471c91c41d9",
  "requirements_status": "needs_review",
  "dataset_revision": "e243353dcb7d79b7247ced91d69443ef4c2a6349",
  "observed_at": "2026-09-07 15:55:43.033547+00:00"
}