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