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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

Select the first clip below to begin.

» Clip 1: List of Approximations (3 min)
» Accompanying Notes (PDF)

From Lecture 10 of 18.01 Single Variable Calculus, Fall 2006

» Clip 2: Example: ln((1+1/k)k) (5 min)
» Accompanying Notes (PDF)

From Lecture 10 of 18.01 Single Variable Calculus, Fall 2006

» Clip 3: Example: Approximation of a Complicated
  Function (7 min)
» Accompanying Notes (PDF)

From Lecture 10 of 18.01 Single Variable Calculus, Fall 2006

Download the complete lectures from this course:

» iTunes U
» Internet Archive

Recitation Video

 

Quadratic Approximation of a Product

Lecture Video and Notes

Video Excerpts

Select the first clip below to begin.

» Clip 1: Approximating ln(1+x) and (1+x)r (3 min)
» Accompanying Notes (PDF)

From Lecture 10 of 18.01 Single Variable Calculus, Fall 2006

Download the complete lectures from this course:

» iTunes U
» Internet Archive

Worked Example

 

Finding a Formula for the Best Degree n Approximation

 

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