Lesson Plan: Differentiating and Integrating Power Series Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to differentiate and integrate a power series using term-by-term differentiation and integration and use the results to find power series representations of some functions.
Objectives
Students will be able to
- differentiate and integrate power series,
- understand how differentiation and integration affect the radius and interval of convergence of a power series,
- use differentiation and integration to find power series representations of some functions such as and .
Prerequisites
Students should already be familiar with
- the definition of a power series,
- the radius of convergence of a power series,
- differentiation and integration.
Exclusions
Students will not cover
- Taylor polynomials.
