Skip to Main Content

MATH685

Download as PDF

Stochastic Processes

Mathematics and StatisticsSC - Faculty of Science

Subject

MATH - Mathematics

Description

Stochastic processes are fundamental to the study of mathematical finance, but are also of vital importance in many other areas, from neuroscience to electrical engineering. Topics to be covered: Elements of stochastic processes, Markov chains and processes, Renewal processes, Martingales (discrete and continuous times), Brownian motion, Branching processes, Stationary processes, Diffusion processes, The Feynman-Kac formula, Kolmogorov backward/forward equations, Dynkin's formula.

Prerequisite(s): Admission to a graduate program in Mathematics and Statistics or consent of the Department.

Antirequisite(s): Credit for Mathematics 685 and Statistics 761 will not be allowed.

GFC Hours

(3-0)

Domestic Fee Rate Group

A

International Fee Rate Group

B

Signature Learning

Research & Creative Scholarship

Courses may consist of a Lecture, Lab, Tutorial, and/or Seminar. Students will be required to register in each component that is required for the course as indicated in the schedule of classes. Practicums, internships or other experiential learning modalities are typically indicated as a Lab component.

Component

LEC

Units

3

Repeat for Credit

No