Week  Content  Assignments 
1 
Probability — axioms, rules, approximation Week 1 Study Guide 
Lab 1: Birthday Attack (Part A due 8/30 at 11:59PM)
Homework 1 (Due 8/30 at 11:59PM)

2 
Random variables  distributions, equality, conditioning Symmetry and collections of events Week 2 Study Guide 
Lab 1: Birthday Attack (Part B due 9/7 at 11:59PM)
Homework 2 (Due 9/7 at 11:59PM)

3 
Binomial and related counts; a Poisson limit Independence and Poissonization Week 3 Study Guide 
Lab 2: Total Variation (Part A due 9/13 at 11:59PM)
Homework 3 (Due 9/13 at 11:59PM)

4 
Expectation and Additivity More Properties of Expectation Quiz 1 on 9/15 Week 4 Study Guide 
Lab 2: Total Variation (Part B due 9/20 at 11:59PM)
Homework 4 (Due 9/20 at 11:59PM)

5 
Expectation by Conditioning Long run behavior of Markov Chains Week 5 Study Guide 
Lab 3: Success Runs and Other Patterns (Due 9/27 at 11:59PM)
Homework 5 (Due 9/27 at 11:59PM)

6 
Balance Markov Chain Monte Carlo Week 6 Study Guide 
Lab 4: Codebreaking by MCMC (Due 10/4 at 11:59PM)
Homework 6 (Due 10/4 at 11:59PM)

7 
SD and tail bounds Covariance and its uses Midterm on 10/7 Week 7 Study Guide 
Lab 5: Decisions Based on Ranks (Part A and B due 10/19 at 11:59PM)
Homework 7 (Due 10/12 at 11:59PM)

8 
Central Limit Theorem Probability densities Week 8 Study Guide 
Lab 5: Decisions Based on Ranks (Part A and B due 10/19 at 11:59PM)
Homework 8 (Due 10/19 at 11:59PM)

9 
Transformations Joint Densities Week 9 Study Guide 
Lab 6: Densities and SymPy (Part A due 10/26 at 11:59PM)
Homework 9 (Due 10/26 at 11:59PM)

10 
Independent normal and gamma variables Moment generating functions; CLT revisited; Chernoff bound Quiz 2 on 10/27 Week 10 Study Guide 
Lab 6: Densities and SymPy (Part B due 11/2 at 11:59PM)
Homework 10 (Due 11/2 at 11:59PM)

11 
MLE; Bayesian approach and MAP Estimates The beta and the binomial Week 11 Study Guide 
Lab 7: Poisson Process (Part A due 11/9 at 11:59PM)
Homework 11 (Due 11/9 at 11:59PM)

12 
Prediction and Error Error Variance Week 12 Study Guide 
Lab 7: Poisson Process (Part B due 11/16 at 11:59PM)
Homework 12 (Due 11/16 at 11:59PM)

13 
Random vectors; multivariate normal The multivariate normal Quiz 3 on 11/17 Week 13 Study Guide 
Lab 8: Constructing the Bivariate Normal (Due 11/23 at 11:59PM)
Homework 13 (Due 11/23 at 11:59PM)

14 
Simple regression Thanksgiving Week 14 Study Guide 

15 
Multiple regression I Multiple regression II Week 15 Study Guide 
Homework 14 (Due 12/7 at 11:59PM)

16 
RRR Week 

17 
Final Exam 
