WeekContentAssignments
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
5 Long run behavior of Markov chains
Balance
6 Markov Chain Monte Carlo
Standard deviation and tail bounds
7 Midterm on 2/28
Covariance and its uses
8 Central Limit Theorem
Probability densities
9 Transformations
Joint densities
10 Independent normal and gamma variables
Quiz 2 on 3/22
Moment generating functions; the Chernoff bound
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