Key Dates
Quiz #1: Tu 10/16
Midterm (35%): Th 11/01
Quiz #2: Tu 11/20
Quiz #3: Th 12/06
Final (35%): Tu Dec 11 46pm
A more detailed schedule is available below. Please check this site regularly as the sequence of topics may have to be slightly modified.
Note:
Week 
Date 
Topic 
1 
Th 09/27 
Review of the course syllabus. Introduction and basic concepts. Sections 1.11.4. 

Tu 10/02 
Definition of probability and finite sample spaces. Sections 1.51.6. 
2 
Th 10/04 
Counting methods. Combinatorial methods. Multinomial coefficients. Sections 1.71.9. 

Tu 10/09 
Union of events. Conditional probability and independent events. Sections 1.10 and 2.12.2. 
3 
Th 10/11 
Bayes' Theorem. Section 2.3. 

Tu 10/16 
Discrete random variables. Examples of discrete random variables. Sections 2.3, 3.1, 5.15.5. Quiz #1. 
4 
Th 10/18 
Examples of discrete random variables. Continuous random variables. The CDF. Sections 5.15.5, and 3.23.3. 

Tu 10/23 
Bivariate distributions and marginal distributions. Sections 3.4 and 3.5. 
5 
Thu 10/25 
Bivariate and marginal distributions. 

Tu 10/30 
Review 
6 
Th 11/01 
Midterm 

Tu 11/06 
Conditional distributions. Section 3.6 Multivariate distributions. Section 3.7. 
7 
Th 11/08 
Functions of random variables. Sections 3.83.9. 

Tu 11/13 
Markov chains. Section 3.10 
8 
Th 11/15 
Expectation and variances. Section 4.14.3 and 5.15.5. 

Tu 11/20 
Expectation and variances. Sections 4.64.7. Quiz #2. 
9 
Th 11/22 
THANKSGIVING BREAK 

Tu 11/27 
Covariance and conditional expectation. The normal distribution Sections 4.64.7. Section 5.6. 
10 
Th 11/29 
Markov and Chebyshev's inequalities. The law of large numbers and the central limit theorem. Sections 6.16.3 

Tu 12/04 
More CLT examples. Other distributions: gamma and beta distributions. The Poisson process. 
11 
Th 12/06 
Review Quiz #3 (optional) 
Tu 12/11  FINAL EXAM 4pm6pm 