18.02SC | Fall 2010 | Undergraduate

Multivariable Calculus

Part A: Functions of Two Variables, Tangent Approximation and Optimization

Session 27: Approximation Formula

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Overview

In this session you will:

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

Lecture Video

Video Excerpts

Clip: Approximation Formula

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


Reading and Examples

The Tangent Approximation (PDF)

Non-Geometric Argument for the Approximation Formula (PDF)

Recitation Video

Tangent Plane Approximation

Examples

Tangent Approximation (PDF)

Problems and Solutions

Problems: Tangent Approximation (PDF)

Solutions (PDF)

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Course Info

Instructor
Departments
As Taught In
Fall 2010
Learning Resource Types
Simulations
Exams with Solutions
Problem Sets with Solutions
Lecture Videos
Lecture Notes