18.175 | Spring 2014 | Graduate

Theory of Probability

Syllabus

Course Meeting Times

Lectures: 3 sessions / week, 1 hour / session

Prerequisites

18.100C Real Analysis

Description

18.175 Theory of Probability covers topics such as sums of independent random variables, central limit phenomena, infinitely divisible laws, Levy processes, Brownian motion, conditioning, and martingales.

Texts

This course will follow the textbook:

  • Durrett, Rick. Probability: Theory and Examples. 4th ed. Cambridge University Press, 2010. ISBN: 9780521765398. [Preview with Google Books]

I use the same notation as Durrett whenever possible.

Other suggested materials that may be helpful are available in the readings section.

Grading

ACTIVITIES PERCENTAGES
7 Problem Sets 70%
Final Problem Set 30%

Course Info

Departments
As Taught In
Spring 2014
Level
Learning Resource Types
Problem Sets
Lecture Notes