Data 140 · Probability for Data Science

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8/25 - Welcome to Data 140!

Week 0 Overview

Getting Started

Before August 25

Week 1

Introduction

8/25-8/27

Week 2

Symmetry and Random Counts

8/30-9/3

Week 3

Poissonization

9/6-9/10

Week 4

Expectation

9/13-9/17

Week 5

Conditioning and Markov Chains

9/20-9/24

Week 6

Markov Chain Monte Carlo

9/27-10/1

Week 7

Variance and Covariance

10/4-10/8

Week 8

Central Limit Theorem and Continuous Random Variables

10/11-10/15

Week 9

Transformations and Joint Densities

10/18-10/22

Week 10

The Normal & Gamma Families and MGFs

10/25-10/29

Week 11

MLE and MAP

11/1-11/5

Week 12

Prediction

11/8-11/12

Week 13

Random Vectors and Multivariate Normals

11/15-11/19

Week 14

Simple regression

11/22-11/26

Week 14 Study Guide

Week 15

Multiple regression

11/29-12/3

Week	Content	Assignments
1	Probability — axioms, rules, approximation Week 1 Study Guide	Lab 1: Birthday Attack (Part A due 8/30 at 11:59PM) Homework 1 (Due 8/30 at 11:59PM)
2	Random variables - distributions, equality, conditioning Symmetry and collections of events Week 2 Study Guide	Lab 1: Birthday Attack (Part B due 9/7 at 11:59PM) Homework 2 (Due 9/7 at 11:59PM)
3	Binomial and related counts; a Poisson limit Independence and Poissonization Week 3 Study Guide	Lab 2: Total Variation (Part A due 9/13 at 11:59PM) Homework 3 (Due 9/13 at 11:59PM)
4	Expectation and Additivity More Properties of Expectation Quiz 1 on 9/15 Week 4 Study Guide	Lab 2: Total Variation (Part B due 9/20 at 11:59PM) Homework 4 (Due 9/20 at 11:59PM)
5	Expectation by Conditioning Long run behavior of Markov Chains Week 5 Study Guide	Lab 3: Success Runs and Other Patterns (Due 9/27 at 11:59PM) Homework 5 (Due 9/27 at 11:59PM)
6	Balance Markov Chain Monte Carlo Week 6 Study Guide	Lab 4: Codebreaking by MCMC (Due 10/4 at 11:59PM) Homework 6 (Due 10/4 at 11:59PM)
7	SD and tail bounds Covariance and its uses Midterm on 10/7 Week 7 Study Guide	Lab 5: Decisions Based on Ranks (Part A and B due 10/19 at 11:59PM) Homework 7 (Due 10/12 at 11:59PM)
8	Central Limit Theorem Probability densities Week 8 Study Guide	Lab 5: Decisions Based on Ranks (Part A and B due 10/19 at 11:59PM) Homework 8 (Due 10/19 at 11:59PM)
9	Transformations Joint Densities Week 9 Study Guide	Lab 6: Densities and SymPy (Part A due 10/26 at 11:59PM) Homework 9 (Due 10/26 at 11:59PM)
10	Independent normal and gamma variables Moment generating functions; CLT revisited; Chernoff bound Quiz 2 on 10/27 Week 10 Study Guide	Lab 6: Densities and SymPy (Part B due 11/2 at 11:59PM) Homework 10 (Due 11/2 at 11:59PM)
11	MLE; Bayesian approach and MAP Estimates The beta and the binomial Week 11 Study Guide	Lab 7: Poisson Process (Part A due 11/9 at 11:59PM) Homework 11 (Due 11/9 at 11:59PM)
12	Prediction and Error Error Variance Week 12 Study Guide	Lab 7: Poisson Process (Part B due 11/16 at 11:59PM) Homework 12 (Due 11/16 at 11:59PM)
13	Random vectors; multivariate normal The multivariate normal Quiz 3 on 11/17 Week 13 Study Guide	Lab 8: Constructing the Bivariate Normal (Due 11/23 at 11:59PM) Homework 13 (Due 11/23 at 11:59PM)
14	Simple regression Thanksgiving Week 14 Study Guide
15	Multiple regression I Multiple regression II Week 15 Study Guide	Homework 14 (Due 12/7 at 11:59PM)
16	RRR Week
17	Final Exam