Numbers refer to chapters of the textbook. This calendar is tentative, changes may happen during the quarter.
Week  Date  Topic 
1  Th 09/24  Review of the course syllabus. Introduction and basic concepts. Sections 1.11.4. 
Tu 09/29  Definition of probability and finite sample spaces. Sections 1.51.6.  
2  Th 10/01  Counting methods. Combinatorial methods. Multinomial coefficients. Sections 1.71.9. 
Tu 10/06  Union of events. Conditional probability and independent events. Sections 1.10 and 2.12.2.  
3  Th 10/08  Bayes' Theorem. Section 2.3. 
Tu 10/13 
Discrete random variables. Examples of discrete random variables. Sections 2.3, 3.1, 5.15.5. Quiz #1. 

4  Th 10/15  Examples of discrete random variables. Continuous random variables. The CDF. Sections 5.15.5, and 3.23.3. 
Tu 10/20  Bivariate distributions and marginal distributions. Sections 3.4 and 3.5.  
5  Th 10/22  Conditional distributions. Section 3.6 
Tu 10/27  Review  
6  Th 10/29  Midterm 
Tu 11/3  Multivariate distributions. Section 3.7.  
7  Th 11/5  Functions of random variables. Sections 3.83.9. 
Tu 11/10  Markov chains. Section 3.10  
8  Th 11/12  Expectation and variances. Section 4.14.3 and 5.15.5. 
Tu 11/17 
Moment generating functions. Covariance and conditional expectation. Sections 4.44.6. Quiz #2. 

9  Th 11/19  The normal distribution. Markov and Chebyshev's inequalities. The law of large numbers. Sections 5.6, 6.16.2. 
Tu 11/24  The law of large numbers and the central limit theorem. Sections 6.26.3  
Th 11/26  THANKSGIVING  
10  Tu 12/01  More CLT examples. Other distributions: the gamma and beta distributions. The Poisson process. 
Th 12/03 
Review. Quiz #3 (optional). 

Mon 12/07  FINAL EXAM 9am11am 