Week  Content  Assignments 
1 
Probability: axioms, rules, approximation Random variables: distributions, equality, conditioning Week 1 Study Guide 
Homework 1 (Due 1/23 at 11:59PM)
Lab 1: Birthday Attack (Due 1/23 at 11:59PM)

2 
Symmetry and collections of events Binomial and related counts; a Poisson limit Week 2 Study Guide 
Homework 2 (Due 1/30 at 11:59 PM)
Lab 2: Total Variation (Part A due 1/30 at 11:59 PM)

3 
Independence and Poissonization Quiz 1 on 2/1 Expectation Week 3 Study Guide 
Homework 3 (Due 2/6 at 11:59PM)
Lab 2: Total Variation (Part B due 2/6 at 11:59PM)

4 
Expectation and additivity Expectation by conditioning Week 4 Study Guide 
Homework 4 (Due 2/13 at 11:59PM)
Lab 3: Chinese Restaurant Process (Part A due 2/13 at 11:59PM)

5 
Long run behavior of Markov chains Balance Week 5 Study Guide 
Homework 5 (Due 2/21 at noon)
Lab 3: Chinese Restaurant Process (Part B due 2/21 at noon)

6 
Markov Chain Monte Carlo Standard deviation and tail bounds Week 6 Study Guide 
Homework 6 (Due 2/27 at 5:00 PM)
Lab 4: Code Breaking by MCMC (Due 2/27 at 5:00 PM)

7 
Midterm on 2/28 Covariance and its uses Week 7 Study Guide 
Midterm Scope
Homework 7 (Due 3/6 at 11:59PM)

8 
Central Limit Theorem Probability densities Week 8 Study Guide 
Homework 8 (Due 3/13 at 11:59PM)
Lab 5: Densities and Transformations (Part A Due 3/13 at 11:59PM)

9 
Transformations Joint densities Week 9 Study Guide 
Homework 9 (Due 3/20 at 11:59PM)
Lab 5: Densities and Transformations (Part B due 3/20 at 11:59PM)

10 
Independent normal and gamma variables Quiz 2 on 3/22 Moment generating functions; the Chernoff bound Week 10 Study Guide 
Homework 10 (Due 4/3 at 11:59PM)
Lab 6: Poisson Process (Part A due 4/3 at 11:59PM)


Spring Break 

11 
MLE; conditioning; MAP Estimates The beta and the binomial 

12 
Prediction and Error Quiz 3 on 4/12 Variance by conditioning 

13 
Random vectors; multivariate normal Correlation and simple regression 

14 
Multiple regression 

15 
RRR Week 

16 
Final Exam on 5/11, 3 PM  6 PM 
