Week 0 Overview

Getting Started

Week 2

Random Variables and Symmetry

Week 5

Conditioning and Markov Chains

Week 7

Variance, SD, and Tail Bounds

Week 13

Random Vectors

Week 14

Simple Regression

Week 15

Multiple Regression

WeekContentAssignments
1 Probability: axioms, rules, approximation
Week 1 Study Guide
Lab 1: Birthday Attack (Due 9/6 at 11:59PM)
Homework 1 (Due 8/29 at 11:59PM)
2 Random variables: distributions, equality, conditioning
Symmetry and collections of events
Week 2 Study Guide
Homework 2 (Due 9/6 at 12 noon)
3 Binomial and related counts; a Poisson limit
Quiz 1 on 9/7
Independence and Poissonization
Week 3 Study Guide
Lab 2: Total Variation (Part A due 9/12 at 11:59PM)
Homework 3 (Due 9/12 at 11:59PM)
4 Expectation
Expectation and Additivity
Week 4 Study Guide
Lab 2: Total Variation (Part B due 9/19 at 11:59PM)
Homework 4 (Due 9/19 at 11:59PM)
5 Expectation by Conditioning
Quiz 2 on 9/21
Long run behavior of Markov Chains
Week 5 Study Guide
Homework 5 (Due 9/26 at 11:59PM)
6 Balance
Markov Chain Monte Carlo
Week 6 Study Guide
Lab 3: Code Breaking by MCMC (Due 10/3 at 12 noon)
Homework 6 (Due 10/3 at 12 noon)
7 Midterm on 10/4
SD and tail bounds
Week 7 Study Guide
Midterm Scope
Homework 7 (Due 10/10 at 11:59PM)
8 Covariance and its uses
Central Limit Theorem
Week 8 Study Guide
Lab 4: Multinomial Correlations (Due 10/17 at 11:59PM)
Homework 8 (Due 10/17 at 11:59PM)
9 Probability densities
Transformations
Week 9 Study Guide
Lab 5: Densities and Transformations (Part A due 10/24 at 11:59PM)
Homework 9 (Due 10/24 at 11:59PM)
10 Joint Densities
Quiz 3 on 10/26
Independent normal and gamma variables
Week 10 Study Guide
Lab 5: Densities and Transformations (Part B due 10/31 at 11:59PM)
Homework 10 (Due 10/31 at 11:59PM)
11 Moment generating functions and Chernoff bound
MLE; Conditioning; MAP Estimates
Week 11 Study Guide
Lab 6: Poisson Process (Part A Due 11/7 at 11:59PM)
Homework 11 (Due 11/7 at 11:59PM)
12 The beta and the binomial
Prediction and Error
Week 12 Study Guide
Lab 6: Poisson Process (Part B Due 11/14 at 11:59PM)
Homework 12 (Due 11/14 at 11:59PM)
13 Variance by Conditioning
Random vectors; multivariate normal
Week 13 Study Guide
Homework 13 (Due 11/21 at 11:59PM)
14 Correlation and simple regression Homework 14 (Due 11/28 at 11:59PM)
15 Multiple regression I
Multiple regression II
Homework 15 (Due 12/5 at 11:59PM)
16 RRR Week
17 Final Exam on 12/13 8:00 AM - 11:00 AM