| Date |
Topics |
Book Sections |
Additional Materials
|
| 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 |
| 4/8 |
Combinations |
G&S 3.2 |
Combinations.pdf
Download Combinations.pdf Coat Check Problem.pdf
Download Coat Check Problem.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 |
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