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 Probability: A Graduate Course by A. Gut (Springer, 2005). The material for the Fall term is essentially contained in chapters 1,2,5,6.
- Lectures will be on Monday, Wednesday, and Friday, from Noon to 12:50 PM,
in APM B412.
- Your course grade will be based weekly homework assignments.
Back to Math 280A Homepage
July 14, 2011