| 1 | Permutations and Combinations (PDF) |
| 2 | Multinomial Coefficients and More Counting (PDF) |
| 3 | Sample Spaces and Set Theory (PDF) |
| 4 | Axioms of Probability (PDF) |
| 5 | Probability and Equal Likelihood (PDF) |
| 6 | Conditional Probabilities (PDF) |
| 7 | Bayes' Formula and Independent Events (PDF) |
| 8 | Discrete Random Variables (PDF) |
| 9 | Expectations of Discrete Random Variables (PDF) |
| 10 | Variance (PDF) |
| 11 | Binomial Random Variables, Repeated Trials and the so-called Modern Portfolio Theory (PDF) |
| 12 | Poisson Random Variables (PDF) |
| 13 | Poisson Processes (PDF) |
| 14 | More Discrete Random Variables (PDF) |
| 15 | Continuous Random Variables (PDF) |
| 16 | Review for Midterm Exam 1 (PDF) |
| 17 | Midterm Exam 1 (No Lecture) |
| 18 | Uniform Random Variables (PDF) |
| 19 | Normal Random Variables (PDF) |
| 20 | Exponential Random Variables (PDF) |
| 21 | More Continuous Random Variables (PDF) |
| 22 | Joint Distribution Functions (PDF) |
| 23 | Sums of Independent Random Variables (PDF) |
| 24 | Expectation of Sums (PDF) |
| 25 | Covariance and Correlation (PDF) |
| 26 | Conditional Expectation (PDF) |
| 27 | Moment Generating Distributions (PDF) |
| 28 | Review for Midterm Exam 2 (PDF) |
| 29 | Midterm Exam 2 (No Lecture) |
| 30 | Weak Law of Large Numbers (PDF) |
| 31 | Central Limit Theorem (PDF) |
| 32 | Strong Law of Large Numbers and Jensen's Inequality (PDF) |
| 33 | Markov Chains (PDF) |
| 34 | Entropy (PDF) |
| 35 | Martingales and the Optional Stopping Time Theorem (PDF) |
| 36 | Risk Neutral Probability and Black-Scholes (PDF) |
| 37 | Review for Final Exam (PDF) |
| 38 | Review for Final Exam (cont.) (PDF) |
| 39 | Review for Final Exam (cont.) (PDF) |
| 40 | Final Exam (No Lecture) |
