Spring, 2014









Class 
Date 
Lecture Topic 
Readings, from Weiss unless otherwise noted 
Homeworks 
Labs 
Practice Problems (from Schauam's Probability), Notes & Misc. 
0 
W 1/15  No class!  
1  F 1/17  Administrative matters; Goals of the course; Motivating Example: The Monty Hall Problem  Chapter One from "The Drunkard's Walk": PDF ; The Monty Hall Problem (from the movie "21") 

M 1/20  Holiday  Classes suspended  
2  W 1/22  The Monty Hall Problem concluded; Two interpretations of the notion of probability. Percentages and probabilities; Set theory (Venn Diagrams) as a model for Sample Spaces and Events.  Chapter 1 (all): PDF  
3  F 1/24  Fundamental mathematical definitions of probability theory; axiomatic proofs.  Chapter 2: PDF Read 2.1, 2.2, and 2.4. We will ignore anything having to do with infinite sample spaces for the present. 

4  M 1/27  We went over hw03 in some detail.  Lab 01: HTML  Check out the "true" random number generator from Random.org: http://www.random.org/ (uses atmospheric noise)  
5  W 1/29  Partitions; the Addition Rule; the Inclusion/Exclusion Principle  We will finish chapter 2.4.  (lab 01 due at 11am)  Last day to ADD a course  
6  F 1/31  Counting Principles: the Multiplication Rule, the tree method, and nonequiprobable sample spaces.  3.1  Quiz01.Solution.pdf  
7  M 2/3  Counting Principles  3.2  Lab 02: HTML  
8  W 2/5  Counting Principles  3.3  (lab 02 due at 11am)  
9  F 2/7  Counting Principles  4.1  hw06.solution  
10  M 2/10  Conditional Probability  4.1  hw07.solution.html  Lab 03: HTML 

11  W 2/12  Independence  (lab 03 due at 11am)  
12  F 2/14  Law of Total Probability and Bayes' Rule  hw08.solution.html  Quiz02.Solution.pdf  
M 2/17  Holiday  Classes suspended  
13  W 2/19  Discrete Random variables, Distributions, PMFs  hw09.solution.html  Monday Schedule of Classes; Thursday 2/20 is last day to DROP a class w.o. a "W" 

14  F 2/21  Bernoulli Trials, Binomial Distribution, CDFs.  
15  M 2/24  Binomial Distribution  hw10.solution.html  Lab 04: HTML  
W 2/26  Poisson Distribution  
16  F 2/28  Geometric Distribution  hw11.solution.html  Quiz03.Solution.pdf  
17  M 3/3  Expected Value of a RV  hw12.solution.html  Lab 05: HTML  
18  W 3/5  Midterm  Midterm Solution: PDF  
19  F 3/7  Expected Value of a RV; Variance  
3/8  3/16  SPRING BREAK!  
20  M 3/17  Variance and Standard Deviation  
W 3/19  Variance and Standard Deviation 


21  F 3/21  Joint Random Variables  hw14.solution.html  
22  M 3/24  Joint Distributions; Covariance, Correlation  hw15.solution.html  Lab 06: HTML

A nice explanation of Covariance and Correlation: PDF; just for fun: Chocolate and the Nobel Prize  
23  W 3/26  Covariance, Correlation;Regression and Curve Fitting  
24  F 3/28  Continuous Random Variables 

Last day to DROP a class with a "W".


25  M 3/31  Normal Distribution  Lab 07: HTML  Quiz 04 Solution: PDF  
26  W 4/2  Applications of the Normal Distribution  hw16.solution.html  
27  F 4/4  Approximating the Binomial by the Normal Distribution  
28  M 4/7  Conclusions on Normal Distribution: Central Limit Theorem, Law of Large Numbers  hw17.solution.html  Lab 08: HTML  
29  W 4/9  Poisson Distribution Redux: Exponential distribution of interarrival times; Poisson Processes  
30  F 4/11  Poisson Processes  
31  M 4/14  Queueing Theory  Lab 09: HTML  FInal Quiz Solution: PDF  
32  W 4/16  Simulation: Queueing Theory;  
33  F 4/18  Discrete Event Simulation; Presentation of final project  
M 4/21  Holiday  Classes suspended.  
34  W 4/23  Markov Models  
35  R 4/24  Markov Models  No lab: Work on Final Project  Monday schedule of classes  
36  F 4/25  Markov Models  
37  M 4/28  Looking forward: Applications of Probability Theory in Computer Science  HW18.solution.html  No Lab: Work on Final Project  
38  W 4/30  Conclusions and course evaluation  Final Project Due W 4/30 at midnight  
R 5/8  Final Exam: 12:302:30pm 