Stochastic Calculus and Applications

Fall 2025, PSTAT 223A

Prerequisite to PSTAT 223B: Financial Modeling

Tu-Th 11-12:15 - PHELPS 1444

See you on Canvas

	
Jean-Pierre Fouque

Office Hours: Monday 2-3pm or by appointment

Office: South Hall 5504 fouque at pstat.ucsb.edu

Course Outline

An introduction to Brownian motion, stochastic calculus and stochastic differential equations. Diffusion processes, related partial differential equations and Feynman-Kac formula. Applications to filtering, stochastic control and mathematical finance.

Prerequisites: PSTAT 213A-B-C (or equivalent first year graduate courses in Probability and Stochastic Processes.)

Grading: Homework 30%, Midterms(2) 40%, Final 30%

TEXT:
Bernt Oksendal, Stochastic Differential Equations: An Introduction with Applications. Springer, 6th Edition (2003).