Session 24: Examples of Linear Approximation

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Overview

When using linear approximation, we replace the formula describing a curve by the formula of a straight line. This makes calculation and estimation much easier.

Lecture Video and Notes

Video Excerpts

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» Clip 1: Curves are Hard, Lines are Easy (00:04:00)

» Accompanying Notes (PDF)

From Lecture 9 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: Linear Approximation of a Complicated Exponential (00:05:00)

» Accompanying Notes (PDF)

From Lecture 9 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 3: Question: Can We Use the Original Formula? (00:03:00)

» Accompanying Notes (PDF)

From Lecture 9 of 18.01 Single Variable Calculus, Fall 2006

Worked Example

 

Product of Linear Approximations

Lecture Video and Notes

Video Excerpts

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» Clip 1: GPS Time Dilation Example (00:07:00)

» Accompanying Notes (PDF)

From Lecture 9 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: Relative Error (00:03:00)

» Accompanying Notes (PDF)

From Lecture 10 of 18.01 Single Variable Calculus, Fall 2006

Recitation Video

Implicit Differentiation and Linear Approximation

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