**CIRCUITS **

*Build on the mathematical tools taught earlier in the program: how analog circuits can be modeled as systems of algebraic and differential equations, the basics of transistor modeling, and how transistors can be used to build digital circuits. *

- Basic principles of resistive circuits
- Translation of resistive circuits into systems of linear algebraic equations
- Basic principles of inductive and capacitive circuits
- First order and second order differential equation circuits

**THE ESSENTIALS OF PROBABILITY AND STATISTICS**

*Review the foundations of probability and statistics, covering counting problems, sample spaces, probabilities, events, and continuous and discrete random variables. *

- Counting problems, sample spaces, probabilities, and events
- Continuous random variables: Gaussian and exponential distributions
- Bayesian estimation (maximum a priori and maximum likelihood)