Session 26: Using Quadratic Approximations

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Overview

In this session we see some examples of quadratic approximation, then finish compiling a "library" of quadratic approximations of key functions.

Lecture Video and Notes

Video Excerpts

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» Clip 1: List of Approximations (00:03:00)

» Accompanying Notes (PDF)

From Lecture 10 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: Example: ln((1+1/k)k) (00:05:00)

» Accompanying Notes (PDF)

From Lecture 10 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 3: Example: Approximation of a Complicated Function (00:07:00)

» Accompanying Notes (PDF)

From Lecture 10 of 18.01 Single Variable Calculus, Fall 2006

Recitation Video

Quadratic Approximation of a Product

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Lecture Video and Notes

Video Excerpts

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» Clip 1: Approximating ln(1+x) and (1+x)r (00:03:00)

» Accompanying Notes (PDF)

From Lecture 10 of 18.01 Single Variable Calculus, Fall 2006

Worked Example

 

Finding a Formula for the Best Degree n Approximation

 

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