AMATH 561 A: Introduction to Probability and Random Processes

Introduces concepts in probability and stochastic dynamics needed for mathematical modeling. In addition to the basics of probability, includes martingales, Markov chains, and Chapman-Kolmogorov equations. Introduces concepts in measure theory from an applied mathematics perspective. Emphasis on presenting theories with examples and a variety of computational methods. Prerequisite: either undergraduate coursework in partial differential equations; and undergraduate coursework in probability and statistics, or permission of instructor. Offered: A.