Week  Date  Topic  Practice Problems 
1  Th 09/28  Review of the course syllabus. Introduction and basic concepts. Sections 1.11.4.  
2  Tu 10/03  Definition of probability and finite sample spaces. Sections 1.51.6.  Set Theory Solutions 
Th 10/05  Counting methods. Combinatorial methods. Sections 1.71.8.  Counting Solutions 

3  Tu 10/10  Union of events. Conditional probability and independent events. Sections 1.10 and 2.12.2.  Conditonal Probability Solutions 
Th 10/12  Bayes' Theorem. Section 2.3.  
4  Tu 10/17  Discrete random variables. Examples of discrete random variables. Sections 3.1, 5.15.5. Quiz #1. 

Th 10/19  Examples of discrete random variables. Sections 5.15.5  Dscrt RV Solutions 

5  Tu 10/24  Continuous random variables. The CDF. Sections 3.23.3.  Cnt RV Solutions 
Th 10/26  Bivariate distributions and marginal distributions. Sections 3.4 and 3.5.  Bivariate RVs Solutions 

6  Tu 10/31  Review  
Th 11/02  Midterm  
7  Tu 11/07  Conditional distributions. Section 3.6  Conditional Solutions 
Th 11/09  Functions of random variables. Sections 3.83.9.  Functions Solutions 

8  Tu 11/14  Markov chains. Section 3.10  
Th 11/16  Expectation and variances. Section 4.14.3 and 5.15.5.  Expectation Solutions 

9  Tu 11/21  Covariance and conditional expectation. Sections 4.64.7.  
Th 11/23  THANKSGIVING  
10  Tu 11/28  The normal distribution. Markov and Chebyshev's inequalities. The law of large numbers. Sections 5.6, 6.16.2. Quiz #2. 

Th 11/30  The law of large numbers and the central limit theorem. Sections 6.26.3  Normal Solutions 

11  Tu 12/05  More CLT examples. Other distributions: the gamma and beta distributions. The Poisson process.  
Th 12/07  Review. Quiz #3 (optional). 

Tu 12/12  Final (two hours: 1:00 to 3:00) 