This document provides an overview of Thevenin's theorem, mesh analysis, and sine waves. It discusses Thevenin's theorem and how any circuit can be simplified to a single voltage source and resistor. It then gives the steps to use Thevenin's theorem including finding the Thevenin resistance Rth and voltage Vth. An example problem demonstrates finding the Thevenin equivalent circuit. Mesh analysis is introduced as a method for solving planar circuits using Kirchhoff's voltage law. Key aspects of mesh analysis like identifying meshes and applying KVL are outlined. Finally, basic characteristics of sine waves like instantaneous value, peak amplitude, period, and frequency are defined.