Science:Infinite Series Module/Units/Unit 3/3.1 Power Series

What This Lesson Covers

In this lesson we will introduce a few concepts:

• representation of functions with a power series
• conditions for convergence of a power series
• radius of convergence of a power series

Learning Objectives

After reading this lesson and completing a sufficient number of exercices on paper, you should be able to

• expand a function in a power series
• determine the radius of convergence of that series

Topics

1. A Motivating Problem
2. The Power Series
3. A Simple Example
4. Power Series Convergence
5. Power Series Convergence Example
6. Videos on Power Series
7. Final Thoughts on Power Series