18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part A: Approximation and Curve Sketching

Session 26: Using Quadratic Approximations

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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

Clip 2: Example: ln((1+1/k)k)

Clip 3: Example: Approximation of a Complicated Function

Recitation Video

Quadratic Approximation of a Product

Lecture Video and Notes

Video Excerpts

Clip 1: Approximating ln(1+x) and (1+x)r

Worked Example

Finding a Formula for the Best Degree n Approximation

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Course Info

As Taught In
Fall 2010
Learning Resource Types
Exams with Solutions
Lecture Notes
Lecture Videos
Problem Sets with Solutions
Recitation Videos