1. What Is This Class All About?
2. Introduction to Imaging & Basic Electrical Circuits
3. Introduction to Vectors
4. Linear Algebra Basics: Norms, Matrices, and Matrix Algebra
5. Imaging & Vector Spaces
6. Vector Spaces II: Linear Independence/Dependence, Matrix Inverse
7. Row Operations, Gaussian Elimination, and Introduction to Eigenvalues
8. Eigenvectors and Eigenvalues
9. Examples of Eigenvectors & Overview of Touchscreens
10. Touchscreen Technology I: Circuit Components and Definitions
11. Touchscreen Technology II: Circuit Analysis
12. Multi-Touch in a Resistive Touch Screen
13. Multitouch, Buffering, Operational Amplifiers
14. Touchscreens: Op-Amps, Negative Feedback
15. Introduction to Locationing
16. Op-Amps with "Infinite" Gain, and Orthogonality
17. Application of Least Squares
18. Solving Underdetermined Sets of Equations
19. Introduction to Wireless
20. Signals, Phasors, and Multiplexing
21. Euler’s Formula, Spectrum, and Separating Signals
22. Amplitude Modulation
23. Linear Time Invariant Systems
24. LTI Systems and the Unit Impulse Response
25. Frequency Response of a Discrete-Time LTI System
26. Review Session for the Course

This course and its follow-on course EE16B focus on the fundamentals of designing modern information devices and systems that interface with the real world. Together, this course sequence provides a comprehensive foundation for core EECS topics in signal processing, learning, control, and circuit design while introducing key linear-algebraic concepts motivated by application contexts. Modeling is emphasized in a way that deepens mathematical maturity, and in both labs and homework, students will engage computationally, physically, and visually with the concepts being introduced in addition to traditional paper/pencil exercises. The courses are aimed at entering students as well as non-majors seeking a broad foundation for the field.