This video is presented by the Aggie Math Learning Center and tutor Avery C. In this video, the derivation, motivation, and mathematics of Newton’s method are discussed. A step-by-step example is provided to illustrate the uses of Newton’s method. Common failures and fixes of the method are discussed.
0:00 Intro
0:24 Overview
1:07 Uses and Benefits of Newton’s Method
1:39 Visualization
2:34 Visual Example
4:11 Derivation of Newton’s Method
6:11 Algebraic Example
8:14 Derivative Failure
9:05 Loop Failure
9:52 Divergence Failure
10:32 Zero-Slope Failure
11:29 Outro
