Data 140 · Probability for Data Science

Week 0 Overview

Getting Started

Before August 24

Week 1

Introduction

8/24-8/26

Week 2

Random Variables and Symmetry

8/29-9/2

Week 3

Random Counts and Poissonization

9/5-9/9

Week 4

Expectation

9/12-9/16

Week 5

Conditioning and Markov Chains

9/19-9/23

Week 6

Markov Chain Monte Carlo

9/26-9/30

Week	Content	Assignments
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	Midterm Scope
8	Covariance and its uses Central Limit Theorem
9	Probability densities Transformations
10	Joint Densities Quiz 3 on 10/26 Independent normal and gamma variables
11	Moment generating functions and Chernoff bound MLE; Conditioning; MAP Estimates
12	The beta and the binomial Prediction and Error
13	Variance by Conditioning Quiz 4 on 11/16 Random vectors; multivariate normal
14	Correlation and simple regression
15	Multiple regression I Multiple regression II
16	RRR Week
17	Final Exam on 12/13 8:00 AM - 11:00 AM