Stanford
      University Math 230A / Stat 310A
Theory of Probability
Fall 2009–2010

Course Information

                                               
                                               

Class Times and Locations

  • Tuesday and Thursday, 12:50PM-2:05PM in Room 200-030
  • Sessions on Friday 4:15-5:30 pm, Sequoia 200

Course Description

The course treats the fundamentals of probability theory with a focus on proofs and rigorous mathematical theory. Topics include: measure theory, probability spaces, integration, almost sure and Lp convergence; indipendence; Borel-Cantelli; laws of large numbers; weak convergence and central limit theorems.

References

We will mostly follow the first three chapters of these lecture notes by Amir Dembo. Additional standard textbooks that can be useful as reference are:

Prerequisites

An informal exposure to probability (as for instance provided by STAT 116 or EE 278), and a good knowledge of basic real analysis (MATH 171 or equivalent) are required. This quiz is a good way to check your analysis background.

An introduction to probability theory with less emphasis on proofs is provided in STAT 219.

What is the figure on the right ?

Seven polyhedral dices.

Instructors

Grading

Students are required to attend classes and friday TA sessions (covering complementary material, and some proofs omitted in class). There will be one homework due every week, on Tuesday, one in-class midterm and one in-class final. Grading is based on final (40%), midterm (30%), homework and class attendance (30%).

Homeworks

Homework Due Solution
homework 1 [pdf] 9/29 [pdf]
homework 2 [pdf] 10/6 [pdf]
homework 3 [pdf] 10/13 [pdf]
homework 4 [pdf] 10/20 [pdf]
homework 5 [pdf] 10/27 [pdf]
homework 6 [pdf] (just for midterm practice) [pdf]
homework 7 [pdf] 11/10 [pdf]
homework 8 [pdf] 11/17 [pdf]
homework 9 [pdf] 12/1

Handouts

Handout Posted
Syllabus [pdf] 9/14
Midterm Solutions [pdf] 11/1