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
» Clip 1: List of Approximations (00:03:00)
From Lecture 10 of 18.01 Single Variable Calculus, Fall 2006
» Clip 2: Example: ln((1+1/k)k) (00:05:00)
From Lecture 10 of 18.01 Single Variable Calculus, Fall 2006
» Clip 3: Example: Approximation of a Complicated Function (00:07:00)
From Lecture 10 of 18.01 Single Variable Calculus, Fall 2006
Clip 3: Example: Approximation of a Complicated Function
> Download from iTunes U (MP4 - 114MB)
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Recitation Video
Quadratic Approximation of a Product
> Download from iTunes U (MP4 - 31MB)
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Lecture Video and Notes
Video Excerpts
» Clip 1: Approximating ln(1+x) and (1+x)r (00:03:00)
From Lecture 10 of 18.01 Single Variable Calculus, Fall 2006
Clip 1: Approximating ln(1+x) and (1+x)r
> Download from iTunes U (MP4 - 114MB)
> Download from Internet Archive (MP4 - 114MB)
Worked Example
Finding a Formula for the Best Degree n Approximation