Course Information  Main Page  Homework  Exams 




9/22  Introduction to Probability ( Heads or Tails Simulation , Coin Tosses Simulation )  
XHour  No XHour  
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 ) 
Xhour  (Optional) Proofwriting 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  InclusionExclusion, Hat Check Problem 
XHour  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 
XHour  (Optional) Proofwriting 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) 
XHour  No XHour  
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 ) 
XHour  5.1  Important Distributions II: The Poisson Distribution, HorseKick 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 
XHour  No XHour 

11/5  8.1  Law of Large Numbers, DiceRolling Experiment 
11/8  9.1  Central Limit Theorem: Geometric Motivation 
11/10  9.1  Central Limit Theorem: Proof Sketch and Examples 
XHour  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 
XHour  (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! 