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 (Covered 1.1.1, 1.1.2, 1.1.3) Friday Recap (Covered 1.1.4, 1.1.5, 1.1.6, 1.1.7) 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 (Finished Ch. 1) Wednesday Recap (Finished 1.3, 2.1.1-2.1.3) Friday Discussion (1/27) |
| 3 | 1/30-2/3 | Monday: Random variables; equality (3.1, 3.2) Wednesday: Quiz 1 ; Basic counting; random counts: binomial Friday: Binomial, continued |
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| 4 | 2/6-2/10 | Monday: Random counts: hypergeometric Wednesday: The CDF; random counts: geometric Friday: Exponential approximations |
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| 5 | 2/13-2/17 | Monday: Law of small numbers: Poisson Wednesday: Expectation Friday: Additivity; method of indicators |
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| 6 | 2/20-2/24 | Monday: President's Day, no class Wednesday: Unbiased estimators Friday: Expectation by conditioning |
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| 7 | 2/27-3/3 | Monday: overflow material Wednesday: Review Friday: Midterm (in class) on chapters 1-5 |
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| 8 | 3/6-3/10 | Monday: Standard deviation, tail bounds; additivity Wednesday: Variance of binomial and hypergeometric Friday: Large samples: law of large numbers |
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| 9 | 3/13-3/17 | Monday: Central Limit Theorem Wednesday: CLT continued Friday: Confidence intervals |
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| 10 | 3/20-3/24 | Monday: Testing hypotheses Wednesday: Quiz 2 ; Probability density Friday: Expectation and variance revisited |
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| 11 | 4/3-4/7 | Monday: The exponential distribution Wednesday: Exponential, continued Friday: The normal distribution |
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| 12 | 4/10-4/14 | Monday: Comparing two samples Wednesday: Quiz 3 ; Estimation: bias and variance Friday: More on bias and variance |
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| 13 | 4/17-4/21 | Monday: Correlation and the regression line Wednesday: Regression effect; residuals Friday: Properties of residuals |
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| 14 | 4/24-4/28 | Monday: Inference in regression Wednesday: Inference in regression Friday: Conclusion |
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