Session 36: Proof

OCW Scholar

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Overview

In this session you will:

  • Watch a lecture video clip and read board notes
  • Read course notes and examples
  • Do problems and use solutions to check your work

Lecture Video

Video Excerpts

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» Clip: Proof (00:10:00)

From Lecture 12 of 18.02 Multivariable Calculus, Fall 2007

The following images show the chalkboard contents from these video excerpts. Click each image to enlarge.

Chalkboard 1.Chalkboard 2.Chalkboard 3.Chalkboard 4.

Reading and Examples

Proof the Gradient is Perpendicular to Level Curves and Surfaces (PDF)

Problems and Solutions

Problems: Gradient and Level Curves (PDF)

Solutions (PDF)

 

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