| date | lecture name | notes | Dr. Hunt's Lecture Playlist | Dr. Leemis's Videos |
|---|---|---|---|---|
| 1-23 | basic set notation | 1 2 | ||
| --- | --- | --- | --- | --- |
| 1-28 | axiomatic probability | 1 2 | ||
| 1-30 | basic theorems | 1 2 | ||
| --- | --- | --- | --- | --- |
| 2-4 | ordered counting | 1 2 | ||
| 2-6 | unordered counting | 1 2 | ||
| --- | --- | --- | --- | --- |
| 2-11 | conditional probability | 1 2 | ||
| 2-13 | independence | 1 2 | ||
| --- | --- | --- | --- | --- |
| 2-18 | random variables | 1 2 | ||
| --- | --- | --- | --- | --- |
| 2-25 | pmfs and pdfs | 1 2 | ||
| 2-27 | pdfs and expected value | 1 2 | ||
| --- | --- | --- | --- | --- |
| 3-3 | expected value and variance | 1 2 | ||
| 3-5 | moments and mgfs | 1 2 | ||
| --- | --- | --- | --- | --- |
| 3-24 | common distributions | 1 | lecture 13 | 4.1, 4.2, 4.7 (uniform), 5.1, 5.2, 5.4 |
| 3-26 | common distributions | 1 | lecture 14 | 4.5, 5.3, 4.3, 5.5 (beta) |
| --- | --- | --- | --- | --- |
| 3-31 | transformations | 1 | lecture 15 | 7, 7.1, 7.2 (first four, univariate only) |
| 4-2 | bivariate rvs | 1 | lecture 16 | 6, 6.1 (up to conditional dists) |
| --- | --- | --- | --- | --- |
| 4-7 | bivariate expecation and conditional distributions | 1 | lecture 17 | 6.1, 6.2, 6.3 (not joint MGFs) |
| 4-9 | conditional expectation and independence | 1 | lecture 18 | 6, 6.1 (up to conditional dists) |
| --- | --- | --- | --- | --- |
| 4-14 | iterated expectaiton and bivariate transformations | 1 | lecture 19 | 3.4 (condtional expectation), 7.2 (bivariate transformation) |
| 4-16 | more bivariate transformations | 1 | lecture 20 | 7.2 (bivariate transformation) |
| --- | --- | --- | --- | --- |
| 4-21 | multivariate random variables | 1 | lecture 21 | 6.5 |
| 4-23 | random samples and order statistics | 1 | lecture 22 | 7.2 (order stats) |
| --- | --- | --- | --- | --- |
| 4-28 | inequalities and convergence | 1 | lecture 23 | |
| 4-30 | central limit theorem | 1 | lecture 24 | |
| --- | --- | --- | --- | --- |
see the blackboard site for solutions
| date | name | due | reading | assignment |
|---|---|---|---|---|
| 1-23 | PS 1 | 1-30 | Leemis 1.3 | ch1 63, 64, 69, 70, 73 |
| 1-30 | PS 2 | 2-6 | Leemis 2.1 and 2.2 | Leemis ch2 problems 2-7, 9-11, 13 |
| 2-6 | PS 3 | 2-13 | Leemis 2.1 and 2.2 | Leemis ch2 problems 30, 34, 36, 38, 48, 50, 52, 56, 64, 77 |
| 2-13 | PS 4 | not graded | Leemis 2.4 - 2.6 | Leemis ch2 problems 73, 75, 76, 80, 86, 94, 102, 134, 142, 146 |
| 2-24 | PS 5 | 3-5 | Leemis 3.1-3.3 | Leemis ch3 problems 4, 14, 18, 19, 24, 25, 28, 34, 36, 49 |
| 3-5 | PS 6 | 3-19 | Leemis 3.4 | Leemis ch3: 54, 67, 71, 74, 78, 81, 105, 117, 133, 135 |
| 3-26 | PS 7 | 4-2 | Leemis 4.1-4.3,4.5, 5.1-5.4 | Leemis ch 4: 28, 39, 48, 54, ch 5: 1, 5, 7, 21, 43, 69 |
| 4-2 | PS 8 | 4-9 | Leemis 7,7.1,7.2 (univariate case only), Leemis 6,6.1 (up to conditional dists) | Leemis ch 7: 2,9,13,21,40 Leemis ch 6: 4, 5, 22, 24, 32 (other suggested/ungraded problems: ch 7: 55,57,58,60,63, ch6: 35) |
| 4-9 | PS 9 | 4-16 | Leemis 6.1, 6.2, 6.3 (not joint MGFs) | Leemis ch 6: 74, 78, 82, 17a, 20, 36, 37, 47, 48, 50, 54, 70 |
| 4-16 | PS 10 | 4-23 | Leemis 6.3, 6.4, 7.1, 7.2 | Leemis ch6: 60, 88, 95, Leemis ch7: 19, 22, 23, 28(a), 38, 49 |
| 4-23 | PS 11 | 4-30 | Leemis 6.5, 7.2 | Leemis ch6: 148, 150, 152, 165, 168, 174, 175, 185, 195 |
- midterm 1: Thurs. Feb 20th, in class
midterm 2: Thurs. Apr 2nd, in class- final: Mon. May 4th, 7-10pm