MATH-UA 338 Honors Theory Of Probability

4 points. Spring term only.

Note: Prior to Fall 2025, Honors Theory of Probability was formerly numbered MATH-UA 238. Effective Fall 2025, the course has been renumbered MATH-UA 338. The course title, content, material, workload, duration and instruction remain unchanged. Only the course number has been updated to better align with the Math Department’s sequencing of courses.

Course Description

The aim of this class is to introduce students to probability theory, with a greater emphasis on rigor, more material, and a faster pace than the Theory of Probability class. The material will include discrete and continuous probability, and the most fundamental limit theorems (law of large numbers and Central Limit Theorem). Students will be made familiar with the classical models, computations on densities, and convergence to universal distributions. They will also be expected to understand the proofs of all the results seen in class, and be able to argue with mathematical rigor.

Prerequisites

Students must earn grades of B+ or higher in the following three prerequisite courses:

  1. MATH-UA 120 Discrete Mathematics
  2. MATH-UA 123 Calculus III or MATH-UA 129 Honors Calculus III or MATH-UA 133 Math for Economics III
  3. MATH-UA 140 Linear Algebra or MATH-UA 148 Honors Linear Algebra

Note: While B+ or higher is the standard requirement for this course, the department will consider petitions if you are on the borderline of that requirement.

Anti-requisites

  • MATH-UA 233 or 333 Theory of Probability