Instructor: Samuel Tripp

Course on Canvas: https://canvas.dartmouth.edu/courses/52291/

## Syllabus

Date	Topics	Book Sections

3/28	Course overview, basic concepts and language	G&S 1	Class Overview.pdf  Download Class Overview.pdf; Basics Of Probability.pdf  Download Basics Of Probability.pdf
3/30	Discrete random variables	G&S 1	Discrete Random Variables.pdf  Download Discrete Random Variables.pdf
4/1	Continuous random variables	G&S 2	Continuous Random Variables.pdf  Download Continuous Random Variables.pdf
4/4	Continuous random variables	G&S 2	Continuous Random Variables Part II.pdf  Download Continuous Random Variables Part II.pdf
4/6	Permutations	G&S 3.1	Permutations.pdf  Download Permutations.pdf
4/11	Important distributions	G&S 5.1
Important Distributions .pdf  Download Important Distributions .pdf, Recorded Lecture (Links to an external site.),  April 11, 2022 Lecture Notes.pdf Download April 11, 2022 Lecture Notes.pdf

4/13	Important densities	G&S 5.2	Important Densities.pdf  Download Important Densities.pdf,  Functions Of A Random Variable.pdf  Download Functions Of A Random Variable.pdf, Recorded Lecture (Links to an external site.), April 13, 2022 Lecture Notes.pdf  Download April 13, 2022 Lecture Notes.pdf
4/15	Discrete conditional probability	G&S 4.1	Discrete Conditional Probability.pdf  Download Discrete Conditional Probability.pdf, Joint Distribution Functions.pdf  Download Joint Distribution Functions.pdf, Recorded Lecture (Links to an external site.), April 15, 2022 Lecture Notes.pdf  Download April 15, 2022 Lecture Notes.pdf
4/18	Guest lecture
4/20	Discrete and continuous conditional probability	G&S 4.1 & 4.2	Continuous Conditional Probability.pdf  Download Continuous Conditional Probability.pdf
4/22	Continuous conditional probability	G&S 4.2	Practice Problems Slideshow.pdf  Download Practice Problems Slideshow.pdf, Practice Problems with Solutions.pdf  Download Practice Problems with Solutions.pdf
4/25	Expected value for discrete random variables	G&S 6.1	Expected Value And Variance For DRVs.pdf Download Expected Value And Variance For DRVs.pdf
4/27	Variance for discrete random variables	G&S 6.2
4/29	Expected value and variance for continuous RVs	G&S 6.3	Expected Value And Variance For CRVs.pdf  Download Expected Value And Variance For CRVs.pdf
5/2	Sums of discrete random variables	G&S 7.1	Sums Of Random Variables.pdf  Download Sums Of Random Variables.pdf
5/4	Sums of continuous random variables	G&S 7.2	Sums Of Random Variables.pdf Download Sums Of Random Variables.pdf
5/6	Law of large numbers for discrete RVs	G&S 8.1	Limit Theorems 2.pdf  Download Limit Theorems 2.pdf
5/9	Law of large numbers for continuous RVs	G&S 8.2	Limit Theorems 2.pdf Download Limit Theorems 2.pdf
5/11	Central limit theorem pt. 1	G&S 9.1	Limit Theorems.pdf  Download Limit Theorems.pdf
5/13	Central limit theorem pt. 2	G&S 9.2	Summary.pdf  Download Summary.pdf, Limit Theorems 3.pdf  Download Limit Theorems 3.pdf
5/16	Class cancelled	G&S 9.3
5/18	Markov chains	G&S 11.1	Markov Chains.pdf  Download Markov Chains.pdf
5/20	Absorbing Markov chains	G&S 11.2	Absorbing Markov Chains.pdf  Download Absorbing Markov Chains.pdf
5/23	Ergodic Markov chains	G&S 11.3	Ergodic And Regular Markov Chains.pdf  Download Ergodic And Regular Markov Chains.pdf
5/25	Ergodic Markov chains and applications	G&S 11.3
5/27	Final Presentations
6/1	Final Presentations

Assignments
Date	Materials Assigned	Materials Due
3/28	Intro Survey
3/30	Weekly Homework 1
4/1		Intro Survey
4/6	Weekly Homework 2	Weekly Homework 1 HW01Solutions.pdf  Download HW01Solutions.pdf
4/13	Weekly Homework 3	Weekly Homework 2 HW02Solutions.pdf  Download HW02Solutions.pdf
4/20	Midterm 1	Weekly Homework 3 WeeklyHW03Solutions.pdf  Download WeeklyHW03Solutions.pdf
4/27	Weekly Homework 4, Midterm 1 Wrapper	Midterm 1 Midterm01Solutions.pdf  Download Midterm01Solutions.pdf
5/4	Weekly Homework 5	Weekly Homework 4, Midterm 1 Wrapper WeeklyHW04Solutions.pdf  Download WeeklyHW04Solutions.pdf
5/11	Midterm 2	Weekly Homework 5, Final Project Proposal Final Project Rubric.pdf Download Final Project Rubric.pdf
5/18	Weekly Homework 6, Midterm 2 Wrapper	Midterm 2 Midterm02Solutions.pdf  Download Midterm02Solutions.pdf
5/25		Weekly Homework 7, Midterm 2 Wrapper
5/26	Exit Survey	Final Project
6/1		Exit Survey