Help   |   Contact Us

 

Session 25: Introduction to Quadratic Approximation

OCW Scholar

« Previous | Next »

 

Overview

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

Flash and JavaScript are required for this feature.


» Clip 1: The Formula for Quadratic Approximation (3 min)
» Accompanying Notes (PDF)

From Lecture 9 of 18.01 Single Variable Calculus, Fall 2006


» Clip 2: Explaining the Formula by Example (4 min)
» Accompanying Notes (PDF)

From Lecture 10 of 18.01 Single Variable Calculus, Fall 2006

» Clip 3: Quadratic Approximation at 0 for Several
  Examples (5 min)
» Accompanying Notes (PDF)

From Lecture 9 of 18.01 Single Variable Calculus, Fall 2006

Download the complete lectures from this course:

» iTunes U
» Internet Archive

Worked Example

 

Comparing Quadratic Approximations and Calculator Computations

Recitation Video

 

Quadratic Approximation of an Exponential Function

Flash and JavaScript are required for this feature.

Download this video:
» iTunes U (MP4 - 16MB)
» Internet Archive (MP4 - 16MB)

 

« Previous | Next »