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

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

[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/9648e5d1b749d1226e0f13fcbda7c041_MIT18_02SC_L9Brds_1.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/1bd4c5ae7638511e0b5503b6d50df8e9_MIT18_02SC_L9Brds_2a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/7c46d4d2f4e37b0eb7b856be0c77f771_MIT18_02SC_L9Brds_2.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/7156682fcb5305f74585d8f20a511607_MIT18_02SC_L9Brds_3a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/2cd905a2d506eb35e5c600d23b68f0c0_MIT18_02SC_L9Brds_3.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/8ca6df97b120d81092a5c682bc777857_MIT18_02SC_L9Brds_4a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/3477eb4bfb1a95f6f7825346f2130c9b_MIT18_02SC_L9Brds_4.png)
[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/2bc1821a5c23ed30784388f74d31d53e_MIT18_02SC_L9Brds_5.png)

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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