The following is a tentative syllabus for the course. This page will be updated as changes occur.
Date | Section(s) | Topic(s) |
|---|---|---|
| 9/24 | 1.2 | Basic Probability |
| 9/26 | 1.2 | Basic Probability cont'd |
| 9/29 | 3.1 | Combinatorics: Permutations |
| 10/1 | 3.1; 3.2 | Permutations and Combinations |
| 10/3 | 3.2 | Combinations cont'd |
| 10/6 | 3.2 | Combinations cont'd |
| 10/8 | 4.1 | Conditional Probability |
| 10/10 | 4.1 | Conditional Probability cont'd |
| 10/13 | 4.1; 6.1 | Expected Value |
| 10/15 | 6.1 | Expected Value cont'd |
| 10/17 | 6.2 | Variance |
| 10/20 | 6.2 | Variance cont'd |
| 10/22 | Midterm Exam 1 | |
| 10/24 | 5.1 | Important Distributions |
| 10/27 | 5.1 | Important Distributions cont'd |
| 10/29 | 5.1 | Important Distributions cont'd |
| 10/30 | 8.1 | Law of Large Numbers |
| 10/31 | No class | |
| 11/3 | 9.1 | Central Limit Theorem |
| 11/5 | 9.1 | CLT cont'd |
| 11/7 | 9.1; 9.2 | CLT and Statistics, General CLT |
| 11/10 | 9.2 | General CLT cont'd |
| 11/12 | Midterm Exam 2 | |
| 11/14 | 11.1 | Introduction to Markov Chains |
| 11/17 | 11.2 | Absorbing Markov Chains |
| 11/19 | 11.2 | Absorbing Markov Chains cont'd |
| 11/21 | No class | |
| 11/24 | 11.3 | Regular Markov Chains |
| 11/26 | No class (Thanksgiving break) | |
| 11/28 | No class (Thanksgiving break) | |
| 12/1 | 11.3 | Ergodic Markov Chains |
| 12/3 | Review |