Session 33: Newton's Method

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Overview

Newton's method uses linear approximation to make successively better guesses at the solution to an equation. Starting from a good guess, Newton's method can be extremely accurate and efficient. Occasionally it doesn't work at all.

Lecture Video and Notes

Video Excerpts

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» Clip 1: Introduction to Newton's Method (00:13:00)

» Accompanying Notes (PDF)

From Lecture 13 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: Newton's Method, Continued (00:07:00)

» Accompanying Notes (PDF)

From Lecture 14 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 3: Newton's Method: What Could Go Wrong? (00:08:00)

» Accompanying Notes (PDF)

From Lecture 14 of 18.01 Single Variable Calculus, Fall 2006

Worked Example

 

Cube Root of x

Recitation Video

 

Using Newton's Method

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