18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part A: Approximation and Curve Sketching

Session 25: Introduction to Quadratic Approximation

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Linear approximation uses the first derivative to find the straight line that most closely resembles a curve at some point. Quadratic approximation uses the first and second derivatives to find the parabola closest to the curve near a point.

Lecture Video and Notes

Video Excerpts

Clip 1: The Formula for Quadratic Approximation

Clip 2: Explaining the Formula by Example

Clip 3: Quadratic Approximation at 0 for Several Examples

Worked Example

Comparing Quadratic Approximations and Calculator Computations

Recitation Video

Quadratic Approximation of an Exponential Function

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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