**The Comer Lectures on Random Variables and Signals**

**LECTURE TOPICS**

- Set Theory Review
- Probability Spaces
- Conditional Probability
- Statistical Independence
- Random Variables: Definition
- Random Variables: Distributions
- Conditional Distributions
- Functions of a Random Variable
- Random Variables: Expectation
- Random Variables: Characteristic Functions
- Two Random Variables: Joint Distributions
- Independent Random Variables
- Functions of Two Random Variables
- Joint Expectation
- Conditional Distributions for Two Random Variables
- Conditional Expectations for Two Random Variables
- Random Vectors
- Stochastic Convergence
- Stochastic Processes
- Linear Systems with Random Inputs