Course: Calculus III
Topic: Power Series
Subtopic: Calculus of Power Series


Now that we are able to write a variety of functions as power series, we can use the power series form of these functions to perform calculus processes such as finding limits, differentiating, and integrating. Doing calculus on the power series is often much easier than on the original function.


By the end of this topic you should know and be prepared to be tested on:

Supplemental Resources (recommended)

A worthy (and very cool!) expansion of this material, one with current applications in a variety of STEAM fields (science, technology, engineering, arts, mathematics) is Fourier Series. Lots of good reads on the web. I recommend that you at least read An Introduction to Fourier Series by Dale Hoffman (Bellevue College in WA) and Fourier Series Introduction from Interactive Mathematics.

Supplemental Resources (optional)

Paul's OL Notes - Calc II: Application of Series

Patrick JMT Just Math Tutorials: Using Series to Evaluate Limits

More tutorial videos if you need them are listed at James Sousa's MathIsPower4U - Calc II. Scroll down middle column to "Infinite Series" for related titles.