Date  Chapter  Description 

Sep 1  1.1  Introduction, simulations 
Sep 3  1.1  More simulations, distribution functions 

Sep 6   Labor Day! (no class) 
Sep 8  1.2  Discrete distributions > probability 
Sep 10  2.1  Simulating continuous distributions 

Sep 13  2.1, 2.2  Bertrand's paradox, density functions 
Sep 15  2.2  Density function examples 
Sep 17  2.2  Cumulative distribution functions, exponential distribution 

Sep 20  2.2, 3.1  Infinite coin flips, permutations 
Sep 22  3.2  Combinations, the binomial theorem 
Sep 24  3.2  Bernoulli processes, binomial random variables 

Sep 27  3.2  Hypothesis testing in Bernoulli processes 
Sep 29  3.2  Inclusionexclusion, derangements 
Oct 1  3.2, 3.3  Derangements, riffle shuffle model 

Oct 4  3.3  Riffle shuffles: Rising sequences and interleavings 
Oct 6  Exam 1 
Oct 8  3.3  Riffle shuffles: Variation distance 

Oct 11  4.1  Conditional probability, Monty Hall 
Oct 13  4.1  Independence of events 
Oct 15   Fall Break! (no class) 

Oct 18  4.1  Random variables, extended 
Oct 20  4.1  Joint distributions and independence 
Oct 22  4.1  Bayes' Theorem 

Oct 25  4.2  Continuous conditional probability 
Oct 27  4.2  Independence of continuous R.V.'s 
Oct 29  5.1  Geometric, negative biomial, Poisson distributions 

Nov 1  5.1, 5.2  More Poisson distribution 
Nov 3  5.2  Functions of R.V.'s, how to simulate continuous R.V.'s 
Nov 5  5.2  Normal random variables, and the idea of Central Limit Theorems 

Nov 8  6.1  Expected value 
Nov 10  6.1  Linearity of expectation applications 
Nov 12  Exam 2 

Nov 15  6.1, 6.2  Conditional expectation; Variance 
Nov 17  6.2  Variance > "extra weak LLN" 
Nov 19  6.2, 6.3  Variance examples, Continuous expectation and variance 

Nov 22  6.3  Expectation and variance of exponential and normal RVs 
Nov 24   Thanksgiving! (no class) 
Nov 26   Thanksgiving! (no class) 

Nov 29  7.1  Discrete convolutions 
Dec 1  7.2  Continuous convolutions 
Dec 3  8.1  8.2  Chebyshev Lemma and Weak LLN 

Dec 6  8.2, 9  LLN applications, CLT statement 
Dec 8  9.1  Proof of binomial CLT 
Dec 10  9.1  Ideas towards general CLT; Applications of CLT 

Dec 20  Final exam (6:00 pm  8:00 pm) 