Class Schedule and HW Assignments
M = Morin's Probability for the Enthusiastic Beginner
GS = Grinstead and Snell's Introduction to Probability
Week  Date  Topics  Sections  Practice Problems (don't turn in) 


1  6/22  Course Introduction; What is Probability?; Introduction to Counting 
M: 1.11.2 GS: 3.13.2 
M, p.36: 1.1, 1.2 GS, p.88: 1, 2, 5, 12, 13 

2  6/25  Ordered and Unordered Sets  M: 1.31.6  M, p.36: 1.3, 1.6  
6/26(x)  Set Theory and Proofs  Reading  from reading: p.12: 1 p.20: 1, 2 

6/27  Induction; Binomial and Multinomial Coefficients  M: 1.8; reading (above) 
M, p.36: 1.7, 1.8, 1.9, 1.15  
6/29  Stars and Bars; License Plate Problems  M: 1.7, 1.9  M, p.36: 1.11, 1.14  
Homework Due 7/6 (Solutions)  
3  7/2  Independence and Conditional Probability  M: 2.12.2  M, p.109: 2.1, 2.4, 2.7  
7/3(x)  More on Conditional Probability; Disjoint Events  M: 2.22.3  M, p.109: 2.9, 2.13  
7/6  Bayes' Theorem; Classical Probability Problems  M: 2.45 
M, p.109: 2.14, 2.15, 2.22  
Homework Due 7/11 (Solutions)  
Exam 1 Practice Problems  GS p.88: #3, 7, 13, 14, 15 GS p.113: #8, 9, 16, 17, 19, 20, 35 GS p.150: #1, 2, 3, 4, 5, 9, 14, 18 

4  7/9  Midterm Review  
7/11  The R Programming Language  Install R AND Install RStudio 

7/13  Intro to Discrete Random Variables and Probability Distributions; Expected Value 
M: 4.1, 4.45, 4.6.1, 3.1 GS: 1.2 
M, p.165: 3.3  
Homework Due 7/18 (Solutions) 

5  7/16  (Discrete) Expected Value and Games  M: 3.1  M, p.165: 3.2, 3.45  
7/17(x)  R Practice (optional)  
7/18  (Discrete) Variance and Standard Deviation  M: 3.23  M, p.165: 3.6, 3.7, 3.8  
7/20  Hypergeometric and Poisson Distributions  M: 4.7  M, p.222: (4.5,) 4.13, 4.16, 4.17  
Homework Due 7/25 (TeX) (Solutions) 

Discrete Distributions Practice Problems  GS p.197: #1, 6, 7, 8, 13, 14, 16, 18, 21  
Expected Value Practice Problems  GS p.246: #1, 2, 3, 4, 6, 8, 16, 23  
Variance Practice Problems  GS p.263: #1, 3, 4, 7, 9, 10, 12, 23  
6  7/23  Poisson Approximation of the Binomial Distribution; Continuous Distributions: Uniform 
GS: 5.1 M: 4.24.3 
GS, p.197: #13, 14, 16  
7/25  Continuous Expected Value and Variance; The Exponential Distribution 
GS: 6.3 M: 4.6, 4.8 
GS, p.277: #1, 2, 3, 4  
7/27  The Exponential and Normal Distributions  GS: 5.2 M: 4.8 
GS, p.209: #2530 (M, p.222: 4.2223) 

Homework Due 8/1 (TeX) (Solutions) 

7  7/30  Inequalities of Markov and Chebyshev; The Weak Law of Large Numbers 
GS 8.18.2 Class Notes 
GS, p.312: #58 GS, p.320: #2, 4, 5 

8/1  Midterm Review  
8/3  Convolutions  GS 7.17.2  GS, p.289: #2, 3, 5; GS, p.300: #25 

8  8/6  The Central Limit Theorem  GS 9.1  GS, p.338: #16  
8/8  The Central Limit Theorem  GS 9.23  GS p.352: #1, 37 GS p.361: #4, 5, 9 

8/10  Introduction to Markov Chains  GS 11.1  GS p.413: #2, 4, 5, 7, 11  
Homework Due 8/15 (TeX) (Solutions) 

9  8/13  Absorbing Markov Chains  GS 11.2  GS p.422: #1, 2, 3, 5  
8/15  Absorbing Markov Chains II; Ergodic and Regular Markov Chains 
GS 11.23  GS p.422: #6, 9 GS p.442: #1, 3 

8/17  Ergodic and Regular Markov Chains II  GS 11.3  GS p.442: #5, 12, 14, 24  
Homework Due 8/22 (TeX)  
10  8/20  Class Cancelled  
8/22  Final Review  
Important Dates
Date  Event 

Friday, June 22:  First lecture 
Tuesday, July 10:  Midterm Exam 1 (4:306:30 pm, Kemeny 007) 
Monday, July 23:  Lab Assignment 1 due in class 
Thursday, August 2:  Midterm Exam 2 (4:306:30 pm, Kemeny 007) 
Tuesday, August 7:  Final day to withdraw from the course 
Friday, August 10:  Lab Assignment 2 due in class 
Wednesday, August 22:  Final lecture 
Saturday, August 25:  Final Exam (811 am, Kemeny 007) 