| WEEK # | TOPICS |
|---|---|
| 1 | Set and Probability Theory (PDF) Basics of Set Theory |
| 2 | Random Variables, Probability Mass/Density Function, and Cumulative Distribution Function (Univariate Model) (PDF) |
| 3 | Multiple Random Variables, Bivariate Distribution, Marginal Distribution, Conditional Distribution, Independence, Multivariate Distribution (Multivariate Model) (PDF) |
| 4 | Expectation (Moments) (PDF) |
| 5 | Review for Exam 1 |
| 6 | Random Variable and Random Vector Transformations (Univariate and Multivariate Models) (PDF) |
| 7 | Special Distributions (Discrete and Continuous) (PDF) Graph Representation: Special Distributions (PDF) |
| 8 | Review for Exam 2 |
| 9 | Random Sample, Law of Large Numbers, Central Limit Theorem (PDF) Simulations: Magnifying Glass (  PDF) |
| 10 | Point Estimators and Point Estimation Methods (PDF) An Overview (PDF) |
| 11 | Interval Estimation and Confidence Intervals (PDF) t-Student versus Standard Normal: A Graphical View (PDF) The t-Distribution versus the Normal Distribution (Java Applet) |
| 12 | Hypothesis Testing (PDF) An Applied Review (PDF) |
| 13 | Review for Exam 3 |