### Overview

Power series are like infinite polynomials. Can they be added? Multiplied? Integrated? If so, we can use power series to approximate functions like the error function.

### Lecture Video and Notes

#### Video Excerpts

Clip 1: Power Series Multiplication

Clip 2: Derivative of a Power Series

Clip 3: Integral of a Power Series

Clip 4: Substitution of Power Series

### Worked Example

Summing Inﬁnite Series by Comparing to Taylor Series

### Lecture Video and Notes

#### Video Excerpts

Clip 1: Power Series Expansion of the Error Function