18.01SC | Fall 2010 | Undergraduate
Single Variable Calculus
Part A: Approximation and Curve Sketching

Session 25: Introduction to Quadratic Approximation

« 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

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

« Previous | Next »

Course Info
Instructor
Departments
As Taught In
Fall 2010
Learning Resource Types
grading Exams with Solutions
notes Lecture Notes
theaters Lecture Videos
assignment_turned_in Problem Sets with Solutions
laptop_windows Simulations