Session 98: Taylor's Series

OCW Scholar

« Previous | Next »

 

Overview

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

Flash and JavaScript are required for this feature.

» Clip 1: Introduction to Taylor's Series (00:07:00)

» Accompanying Notes (PDF)

From Lecture 38 of 18.01 Single Variable Calculus, Fall 2006

Flash and JavaScript are required for this feature.

» Clip 2: Taylor's Formula (00:04:00)

» Accompanying Notes (PDF)

From Lecture 38 of 18.01 Single Variable Calculus, Fall 2006

Flash and JavaScript are required for this feature.

» Clip 3: Taylor's Formula Examples (00:04:00)

» Accompanying Notes (PDF)

From Lecture 38 of 18.01 Single Variable Calculus, Fall 2006

Recitation Video

 

Finding Taylor's Series

Flash and JavaScript are required for this feature.

Taylor's Series of a Polynomial

Flash and JavaScript are required for this feature.

Worked Example

 

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

 

« Previous | Next »