Schedule

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 1.1-1.4. 
  Tu 09/29 Definition of probability and finite sample spaces. Sections 1.5-1.6.
   2 Th 10/01 Counting methods. Combinatorial methods. Multinomial coefficients. Sections 1.7-1.9.
   Tu 10/06 Union of events. Conditional probability and independent events. Sections 1.10 and 2.1-2.2.
   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, 5.1-5.5. 

Quiz #1.
   4  Th 10/15 Examples of discrete random variables. Continuous random variables. The CDF. Sections 5.1-5.5,  and 3.2-3.3. 
   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 3.8-3.9.
   Tu 11/10 Markov chains. Section 3.10 
   8  Th 11/12 Expectation and variances. Section 4.1-4.3 and 5.1-5.5.  
   Tu 11/17

Moment generating functions. Covariance and conditional expectation. Sections 4.4-4.6. 

Quiz #2.
   9  Th 11/19 The normal distribution. Markov and Chebyshev's inequalities. The law of large numbers. Sections 5.6, 6.1-6.2.
   Tu 11/24 The law of large numbers and the central limit theorem. Sections 6.2-6.3
    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 9am-11am