Autumn 2020 STAT 38510

Course: STAT 38510=MATH 38511

Title: Brownian Motion and Stochastic Calculus

Instructor(s): Greg Lawler

Teaching Assistant(s): TBA

Class Schedule: Sec 01: TR 9:40 AM–11:00 AM in TBA

Description: This is a rigorous introduction to the mathematical theory of Brownian motion and the corresponding integration theory (stochastic integration). This is material that all analysis graduate students should learn at some point whether or not they are immediately planning to use probabilistic techniques. It is also a natural course for more advanced math students who want to broaden their mathematical education and to increase their marketability for nonacademic positions. In particular, it is one of the most fundamental mathematical tools used in financial mathematics (although we will not discuss finance in this course). This course differs from the more applied STAT 39000 in that concepts are developed precisely and rigorously.

Prerequisite(s): Recommended prerequisites: STAT 38300; or MATH 31200, MATH 31300, and MATH 31400; or consent of instructor.