Part B: Taylor Series

Session 100: Operations on Power Series

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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

Recitation Video

Integration of Taylor’s Series

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Course Info

Learning Resource Types

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assignment_turned_in Problem Sets with Solutions
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