## Math 280A

Probability Theory

### Fall 2021

Math 280A is the first course in a three-term sequence devoted to the elements of Probability Theory. In the Fall term we will deal with the measure theoretic foundations of the subject. Once this is accomplished we move on to the main goal of the Fall term: the **Strong Law of Large Numbers**. On the path to this peak we encounter the important notions of **random variable**, ** expectation**, and **independence**.
The Winter term (280B) will be devoted to two topics: (1) Convergence in distribution and the Central Limit Theorem, and (2) Martingales (in discrete time). The Spring term (280C) will focus on Markov processes, including Markov chains and Brownian motion.

- The text for the (first two terms of the) course is
*A Probability Path* by S. Resnick (Birkhauser, 2005) [Electronic copy, available
for download from UCSD addresses, is
here.] The material for the Fall term is contained in chapters 1-7.
- Lectures will be on Monday, Wednesday, and Friday, from 9:00 AM to 9:50 AM,
in APM B402A.
- Your course grade will be based weekly homework assignments.

Back to Math 280A Homepage

August 28, 2021