18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part B: Taylor Series

Session 98: Taylor's Series

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Earlier we studied linear and quadratic approximations. If we continue to improve our approximations by using the third, fourth, fifth, … derivatives the result is a power series. These power series are called Taylor’s series. This session gives a formula describing the terms of a Taylor’s series and a few examples of its application.

Lecture Video and Notes

Video Excerpts

Clip 1: Introduction to Taylor’s Series

Clip 2: Taylor’s Formula

Clip 3: Taylor’s Formula Examples

Recitation Video

Finding Taylor’s Series

Taylor’s Series of a Polynomial

Worked Example

Proving That the Taylor Series of a Function is Equal to the Function

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Course Info

As Taught In
Fall 2010
Learning Resource Types
Exams with Solutions
Lecture Notes
Lecture Videos
Problem Sets with Solutions
Recitation Videos