**Course:** STAT 25150

**Title:** Introduction to Mathematical Probability-A

**Instructor(s):** Robert Fefferman

**Teaching Assistant(s):**

**Class Schedule:** Sec 1: TR 9:30 AM-10:50 AM in Eckhart 133

**Textbook(s):**

**Description:** This course covers combinatorics; basic notions of probability and conditional probability; independence; expectation, variance, and covariance; discrete and continuous random variables, including distributions such as binomial, normal, multinomial, geometric, hypergeometric, negative binomial, and Poisson; Gambler's Ruin; generating functions and applications to branching processes; the (Weak) Law of Large Numbers and its application to approximation by polynomials, i.e., the Weierstrass Approximation Theorem; random walk, including proof of recurrence in one and two dimensions and transience in three dimensions; characteristic functions and the Central Limit Theorem.

**Notes:** Students may count either STAT 25100 or STAT 25150, but not both, toward the forty-two credits required for graduation.