Lecture # | Topic | Slides |
---|---|---|
1 | BST Permutations | |
2 | Combinations | |
3 | Introduction to Probability | |
4 | Conditional Probability and Bayes Theorem | |
5 | More on Conditional Probability and Independence | |
6 | Random Variables and Expectation | |
7 | Variance and Binomial Distribution | |
8 | Poisson and Other Discrete Distributions | |
9 | Continuous Distributions | |
10 | Normal and Exponential Distributions | |
11 | Joint Distributions | |
12 | Independent Random Variables | |
13 | Sums of Independent Random Variables and Conditional Distributions | |
14 | Properties of Expectation and QuickSort Analysis | |
15 | Covariance | |
16 | Correlation and Conditional Expectation | |
17 | Moment Generating Functions | |
18 | Helpful Inequalities and Bounds | |
19 | Law of Large Numbers and Central Limit Theorem | |
20 | Parameter Estimation and Method of Moments | |
21 | Maximum Likelihood Estimation | |
22 | Bayesian Estimation | |
23 | Machine Learning and Naive Bayes Classifier | |
24 | Logistic Regression | |
25 | Modeling Uncertainty and Utility | |
26 | Generating probabilities and Monte Carlo simulation | |
27 | Final Exam Review Examples |