Spring 2021 - Ani Adhikari
Spring 2021 - Ani Adhikari
| Week | Content | Assignments |
|---|---|---|
| 1 | Probability — axioms, rules, approximation Random variables - distributions, equality, conditioning Week 1 Study Guide |
Lab 1: Birthday Attack (Part A due 1/25 at 11:59PM) Homework 1 (Due 1/25 at 11:59PM) |
| 2 | Conditioning, symmetry, and independence Symmetry and collections of events Week 2 Study Guide |
Week 2 Checkpoint (Complete on Gradescope, Due 1/27 at 11:59PM) Lab 1: Birthday Attack (Part B due 2/1 at 11:59PM) Homework 2 (Due 2/1 at 11:59PM) |
| 3 | Binomial and related counts; a Poisson limit Independence and Poissonization |
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| 4 | Expectation and Additivity More Properties of Expectation |
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| 5 | Expectation by Conditioning Long run behavior of Markov Chains Midterm 1 on 2/19 |
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| 6 | Balance Markov Chain Monte Carlo |
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| 7 | SD and tail bounds Covariance and its uses |
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| 8 | Central Limit Theorem Probability densities |
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| 9 | Transformations Joint Densities |
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| Spring Break | ||
| 10 | Independent normal and gamma variables Moment generating functions; CLT revisited; Chernoff bound Midterm 2 on 4/2 |
Midterm 2 on 4/2 |
| 11 | MLE; Bayesian approach and MAP Estimates The beta and the binomial |
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| 12 | Prediction and Error Error Variance |
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| 13 | Random vectors; multivariate normal Simple regression |
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| 14 | Multiple regression I Multiple regression II |
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| 15 | RRR Week | |
| Final Exam on 5/13 |
Final Exam on 5/13 |
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