This video provides a high-level review of Taylor Series and Power Series from Calculus, with simple examples and code in Python and Matlab. The Taylor Series will be used throughout this series on Differential Equations, both to understand how to solve ODEs analytically by hand, and also to solve them numerically on a computer. Playlist: Course Website: @eigensteve on Twitter This video was produced at the University of Washington %%% CHAPTERS %%% 1:06 Defining the Taylor Series (Two Ways) 9:14 Example: Series Expansion for Sine, sin(x) 14:03 Example: Series Expansion for Cosine, cos(x) 17:43 Matlab Code Example 24:29 Python Code Example