Spring 2023 - Shobhana Stoyanov
Spring 2023 - Shobhana Stoyanov
| Week | Date | Content | Notes & Assignments |
|---|---|---|---|
| 1 | 1/18-1/20 | Wednesday: Course introduction; fundamentals (1.1) Friday: Exact calculations; bounds (1.2) |
Homework 1 (Due 1/24 at 11:59pm) Wednesday Recap Friday Recap Friday Discussion (1/20) |
| 2 | 1/23-1/27 | Monday: The rules (1.3) Wednesday: Conditioning and updating (2.1 - 2.3) Wednesday Discussion: Ch. 1 Ex 2, 3, 4, 5 Friday: Independence (2.4, 2.5) |
Homework 2 (Due 1/31 at 8:00pm) Monday Recap Wednesday Recap Friday Recap Friday Discussion (1/27) |
| 3 | 1/30-2/3 | Monday: Random variables; equality (3.1, 3.2) Wednesday: Quiz 1 ; Basic counting; random counts Friday: Finish 3.2, binomial and hypergeometric (3.3, 3.4) Friday Discussion: Ch. 2 Ex 6, 11 and Ch. 3 Ex. 1ab |
Homework 3 (Due 2/7 at 11:59pm) Monday Recap Wednesday Recap Friday Recap |
| 4 | 2/6-2/10 | Monday: Binomial/hypergeometric examples (3.5), CDF (4.1) Wednesday: Finish Binomial/hypergeom examples; the CDF Friday: Random counts: geometric Friday Discussion: Ch. 3 Ex. 9, 4 and Ch. 4 Ex. 2, 4 |
Homework 4 (Due 2/14 at 11:59pm) Monday Recap Wednesday Recap Wednesday Discussion (2/8) Friday Discussion |
| 5 | 2/13-2/17 | Monday: Exponential approximations Wednesday: Law of small numbers: Poisson Wednesday Discussion: Ch. 4 Ex. 5, 10, 6 Friday: Expectation Friday Discussion: Ch. 4 Ex. 7, 8, 12, 11 |
Homework 5 (Due 2/22 at 11:59pm) Monday Recap Wednesday Recap Friday Recap |
| 6 | 2/20-2/24 | Monday: President's Day, no class Wednesday: Additivity; Joint and marginal distributions Wednesday Discussion: Ch. 5 Ex. 2, 3, 1 Friday: Method of indicators |
Friday Discussion (2/24) Wednesday Recap Friday Recap |
| 7 | 2/27-3/3 | Monday: Method of indicator examples Wednesday: Review Friday: Midterm (in class) on chapters 1-5 |
Monday Recap Wednesday Recap |
| 8 | 3/6-3/10 | Monday: Unbiased estimators Wednesday: Conditional distributions and expectation Wednesday Discussion: Ch. 5 Ex. 8, 9, 11 Friday: Expectation by conditioning (5.6) Friday Discussion: Ch. 5 12, 14, 13 |
Homework 6 (Due 3/14 at 11:59pm) Monday Recap Wednesday Recap Friday Recap |
| 9 | 3/13-3/17 | Monday: Variance Wednesday: Tail probabilities and bounds Wednesdasy Discussion: Midterm Retake Friday: Markov's and Chebyshev's inequalities Friday Discussion: Ch. 6 2, 4, 7, 5 |
Monday Recap Wednesday Recap Friday Recap |
| 10 | 3/20-3/24 | Monday: Variance of the sample sum and sample mean Wednesday: Variance of famous distributions Wednesday Discussion: Quiz 2 Friday: Large samples: law of large numbers Friday Discussion: Ch. 7 4b, MT 2b, Quiz 2 Review |
Homework 7 (Due 4/4 at 11:59pm) Monday Recap Wednesday Recap Friday Recap |
| 11 | 4/3-4/7 | Monday: Large samples: law of large numbers Wednesday: Central Limit Theorem Wednesday Discussion: Ch. 7 9, 11, 12 Friday: Confidence intervals |
Homework 8 (Due 4/11 at 8:00pm) Monday Recap Wednesday Recap Friday Discussion (4/6) |
| 12 | 4/10-4/14 | Monday: Testing hypotheses Wednesday: Quiz 3 ; Expectation and variance revisited Friday: The exponential distribution Friday Discussion: Ch. 9 Ex. 1, 2, 4 |
Homework 9 (Due 4/18 at 11:59pm) |
| 13 | 4/17-4/21 | Monday: The normal distribution Wednesday: Comparing two samples Friday: Estimation: bias and variance Friday Discussion: Ch. 9 Ex. 9, 10, 11 |
Homework 10 (Due 4/25 at 11:59pm) Wednesday Discussion (4/19) |
| 14 | 4/24-4/28 | Monday: Correlation and the regression line Wednesday: Regression effect; residuals Wednesday Discussion: Ch. 10 Ex. 1abcd, 2, 3 Friday: Inference in regression; Conclusion Friday Discussion: Ch. 10 Ex. 4 |
Homework 11 (Due 5/2 at 11:59pm) |