Lectures	Section In Text	Brief Description
9/22		Introduction to Probability ( Heads or Tails Simulation , Coin Tosses Simulation )
X-Hour		No X-Hour
9/24	1.2	Basic Set Operations, Random Variables, Sample Spaces
9/27	1.2	Distribution Functions, Coin Toss Experiments, Probability vs. Odds
9/29	3.1	Permutations, Combinations, Birthday Problem ( Birthday Problem Simulation )
X-hour		(Optional) Proof-writing Workshop
10/1	3.1	Asymptotic Equality, Stirling's Formula, Distribution of Prime Numbers ( Stirling's Formula Simulation)
10/4	3.2	Binomial Coefficients, Pascal's Triangle, Poker Hands
10/6	3.2	Inclusion-Exclusion, Hat Check Problem
X-Hour		Quiz #1: Basic Probability and Combinatorics (sections 1.2, 3.1 in text)
10/8		More Topics In Combinatorics: Bernoulli Trials and ``Stars and Bars''-type Problems
10/11	4.1	Conditional Probability, Monty Hall Problem ( Monty Hall Interactive Feature)
10/13	4.1	Independent Events
X-Hour		(Optional) Proof-writing Workshop, part II
10/15	4.1	Bayes Formula, Applications to Medicine and Law ( NY Times Article)
10/18	6.1	Average Value, Expected Value ( Die Simulation)
10/20	6.1	The St. Petersburg Paradox, Properties of Expected Values ( Craps Simulation)
X-Hour		No X-Hour
10/22	6.1	Independent Random Variables, Conditional Expectation
10/25	6.2	Variance, Standard Deviation
10/27	5.1	Important Distributions I: Discrete Uniform & Binomial Distributions ( Galton Board Applet )
X-Hour	5.1	Important Distributions II: The Poisson Distribution, Horse-Kick Deaths; Midterm Exam 7 - 9 PM
10/29		No Class - Homecoming!
11/1	5.1	Important Distributions III: Geometric, Negative Binomial & Hypergeometric Distributions; The Benford Distribution
11/3	8.1	The Coupon Collector Problem, Chebyshev's Inequality
X-Hour		No X-Hour
11/5	8.1	Law of Large Numbers, Dice-Rolling Experiment
11/8	9.1	Central Limit Theorem: Geometric Motivation
11/10	9.1	Central Limit Theorem: Proof Sketch and Examples
X-Hour		Quiz #2: Important Distributions, Law of Large Numbers (sections 5.1, 8.1 in text)
11/12	9.2	Central Limit Theorem: Generalizations, Application to Genetics
11/15		Confidence Intervals and The Embarrassing Question Experiment
11/17	11.1	Introduction to Markov Chains
X-Hour		(Optional) Linear Algebra Tutorial
11/19	11.2	Absorbing Markov Chains
11/22	11.3	Regular and Ergodic Markov Chains
11/24		No Class - Thanksgiving Break!
11/29		Markov Chains Applications: Google's PageRank Algorithm, Monopoly( Slides )
12/1		Final Exam Review - Probability Theory Jeopardy!