Week  Content  Assignments 
1 
Probability — axioms, rules, approximation Random variables  distributions, equality, conditioning Week 1 Study Guide 
Lab 1: Birthday Attack (Part A due 1/25 at 11:59PM)
Homework 1 (Due 1/25 at 11:59PM)

2 
Conditioning, symmetry, and independence Symmetry and collections of events Week 2 Study Guide 
Week 2 Checkpoint (Complete on Gradescope, Due 1/27 at 11:59PM)
Lab 1: Birthday Attack (Part B due 2/1 at 11:59PM)
Homework 2 (Due 2/1 at 11:59PM)

3 
Binomial and related counts; a Poisson limit Independence and Poissonization Week 3 Study Guide 
Week 3 Checkpoint (Complete on Gradescope, Due 2/3 at 11:59PM)
Lab 2: Total Variation (Part A due 2/8 at 11:59PM)
Homework 3 (Due 2/8 at 11:59PM)

4 
Expectation and Additivity More Properties of Expectation Week 4 Study Guide 
Week 4 Checkpoint (Complete on Gradescope, Due 2/10 at 11:59PM)
Lab 2: Total Variation (Part B due 2/16 at 11:59PM)
Homework 4 (due 2/16 at 11:59PM)

5 
Expectation by Conditioning Long run behavior of Markov Chains Midterm 1 on 2/19 Week 5 Study Guide 
Midterm 1 on 2/19
Week 5 Checkpoint (Complete on Gradescope, Due 2/17 at 11:59PM)

6 
Balance Markov Chain Monte Carlo Week 6 Study Guide 
Week 6 Checkpoint (Complete on Gradescope, Due 2/24 at 11:59PM)
Lab 3: Codebreaking by MCMC (due 3/1 at 11:59PM)
Homework 5 (Due 3/1 at 11:59PM)

7 
SD and tail bounds Covariance and its uses Week 7 Study Guide 
Week 7 Checkpoint (Complete on Gradescope, Due 3/3 at 11:59PM)
Lab 4: Decisions Based on Ranks (Part A due 3/8 at 11:59PM)
Homework 6 (Due 3/8 at 11:59PM)

8 
Central Limit Theorem Probability densities Week 8 Study Guide 
Week 8 Checkpoint (Complete on Gradescope, Due 3/10 at 11:59PM)
Lab 4: Decisions Based on Ranks (Part B due 3/15 at 11:59PM)
Homework 7 (Due 3/15 at 11:59PM)

9 
Transformations Joint Densities Week 9 Study Guide 
Week 9 Checkpoint (Complete on Gradescope, Due 3/17 at 11:59PM)
Lab 5: Densities and SymPy (Part A due 3/29 at 11:59PM)
Homework 8 (Due 3/29 at 11:59PM)


Spring Break 

10 
Independent normal and gamma variables Moment generating functions; CLT revisited; Chernoff bound Midterm 2 on 4/2 Week 10 Study Guide 
Midterm 2 on 4/2
Week 10 Checkpoint (Complete on Gradescope, Due 3/31 at 11:59PM)
Lab 5: Densities and SymPy (Part B due 4/5 at 11:59PM)

11 
MLE; Bayesian approach and MAP Estimates The beta and the binomial Week 11 Study Guide 
Lab 6: Poisson Process (Part A due 4/12 at 11:59PM)
Homework 9 (Due 4/12 at 11:59PM)

12 
Prediction and Error Error Variance Week 12 Study Guide 
Lab 6: Poisson Process (Part B due 4/19 at 11:59PM)
Homework 10 (Due 4/19 at 11:59PM)

13 
Random vectors; multivariate normal Simple regression Week 13 Study Guide 
Week 13 Checkpoint (Complete on Gradescope, Due 4/21 at 11:59PM)
Lab 7: Constructing the Bivariate Normal (due 4/26 at 11:59PM)
Homework 11 (Due 4/26 at 11:59PM)

14 
Multiple regression I Multiple regression II 

15 
RRR Week 


Final Exam on 5/13 
Final Exam on 5/13
