The following is a tentative list (a superset, actually) of the topics to be covered in the class. Note: This list will change as we get closer to the start of the semester and also as the semester progresses. For a listing of lectures and schedules, visit the lectures page.
- Sample Space, Events
- Law of Sets, Event Operations
- Probability, Conditional Probability
- Bayes' Rule, Total Probability
- Independence, Conditional Independence
- Discrete Random Variables
- Continuous Random Variables
- Probability Density Function (PDF)
- Cumulative Distribution Function (CDF)
- Expectation, Variance
- Covariance, Correlation
- Gaussian Distribution, Bivariate Gaussian
- Identically Independently Distributed (IID)
- Law of Large Numbers, Central Limit Theory
- Estimation, Bias and Variance
- Confidence Intervals
- Hypothesis Testing
- Linear Regression