Summer Term One, 2015









Class 
Date 
Lecture Topic 
Readings, from M for CS unless otherwise noted 
Homeworks 
Programming Projects 
1  T 5/19  Administrative matters; Goals of the course; Motivating Examples 


2  W 5/20  The Monty Hall Problem. Percentages and probabilities; Set theory (e.g., Venn Diagrams) as a model for Sample Spaces and Events.  Chapter One from "The Drunkard's Walk": PDF ; The Monty Hall Problem (from the movie "21") MforCS Sections 16.1, 16.2, and 16.5 
HW 01: HTML HW 01 Solution: HTML 

3  R 5/21  Techniques of Counting and their applications to Probability Theory  Techniques of Counting from Schaum's: PDF  HW 02: HTML HW 02 Solution: HTML

Programming Project 1: HTML 
4  T 5/26  Conditional Probability

Read Sections 17.1  17.4  HW 03: HTML HW03 Solution: HTML 

5  W 5/27  Conditional Probability Continued: Law of Total Probability, Independence  HW04: HTML HW04 Solution: HTML 

6  R 5/28  Bayes's Theorem; Random Variables  Read Section 18 up through 18.3.2.  HW 05: HTML HW05 Solution: HTML 
Programming Project 2: HTML 
7  F 5/28  Class cancelled 


8  M 6/1  Random Variables concluded: Expectation, Variance, and Standard Deviation; Discrete Distributions: Geometric, Bernoulli Trials, Binomial 
From: Reading on RVs: Read sections 5.4 & 5.5 about RVs; From Reading on Distributions: p.195 about Geometric; and section 6.2 on Binomial. 


9  T 6/2  Poisson Distribution; Continuous distributions: the Normal Distribution  From Reading on Distributions: section 6.7 on Poisson; Section 6.3 on Normal Distribution Brief Review of Integration: PDF

HW06: HTML HW06 Solution: HTML 
` 
10  W 6/3  Normal Distribution Continued; Normal as limit of binomial  From Reading on Distributions: section 6.4 & 6.5  HW07: HTML HW07 Solution: HTML 

11  R 6/4  Poisson continued; Exponential; Memoryless property of the Exp and Geo Distributions.  HW08: HTML HW08 Solution: HTML 

12  M 6/8  Midterm  
13  T 6/9  Joint Random Variables  
14  W 6/10  Joint RVs continued;  Here is the spreadsheet on J. RVs: XLXS  HW 09: HTML HW09 Solution: HTML 

15  R 6/11  Curve fitting; introduction to descriptive statistics  Reading: Appendix A  HW 10: HTML HW 10 Solution: HTML 
Programming Project Three: HTML 
16  M 6/15  Sampling Theory: sample statistics and standard errors.  Reading from Appendix A above, and also Google "Standard Error" and read the beginning of the Wiki page.  HW 11: HTML HW 11 Solution: HTML 

17  T 6/16  Hypothesis Testing  Reading: PDF  HW 11 is due on Tuesday  
18  W 6/17  Distribution Testing: Chisquared distribution; Introduction to Stochastic Models  Reading: Appendix B: PDF  
19  R 6/18  Queueing Theory, Markov Processes; Introduction to final project  Readings on Queueing Theory: 1, 2  HW 12: HTML (due Friday noon) HW 12 Solution: HTML 
Final Programming Project: HTML 
20  M 6/22  Markov Models  Reading: PDF  
21  T 6/23  Hidden Markov Models; Quiz Three  Readings: 1, 2, 3 (in order of difficulty)  HW 13: HTML HW 13 Solution: HTML 

22  W 6/24  Final Exam (comprehensive) 