Readings "Passive" learning opportunities

This page collects together all of the “readings” associated with individual modules.

In this site, readings represent the multiple perspectives that will together provide a mental framework for you. These readings summarize most of the important material.

Some readings from the textbook, others are handouts overlapping or supplementing the text. The list of topics covered is not identical to the text, just reading the text is insufficient. However, if you keep up with classes and understand the handouts, that will suffice.

Sometimes readings are assigned before the material is covered in class. The expectation then is not that you understand everything, but you seed yourself with an opinion on the subject.

Module: Sets, Logic and Functions

Guide for the Text

Basics of sets

Functions, Logic and Sets

Basics of sets

Lectures

Lecture notes and recordings

Module: Probability Space

Guide for the Text

Section 1.2

Setup and Axioms

Setup, Axioms

Module: Conditional Probabilities and Independence

Guide for the Text

Chapters 1.3 and 1.5

Module: Bayes Theorem

Guide for the Text

Chapter 1.4

Module: Random Variables

Guide for the Text

Chapters 2.1-2.5, Chapter 4.4

Module: Bernoulli and Friends

Guide for the Text

Chapter 2.2-2.5

Module: Geometric and Poisson

Guide for the Text

Chapters 2.2 and 2.4

Module: Continuous Random Variables: Exponential

Continuous RV

Chapter 3.1 and 3.2

Module: Conditional Expectation

Guide for the Text

Chapter 3.6, 4.3

Module: Gaussians

Handout: Univariate and Multivariate Gaussians

Univariate and Multivariate Gaussians, conditional expectation