18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part A: Approximation and Curve Sketching

Session 24: Examples of Linear Approximation

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When using linear approximation, we replace the formula describing a curve by the formula of a straight line. This makes calculation and estimation much easier.

Lecture Video and Notes

Video Excerpts

Clip 1: Curves are Hard, Lines are Easy

Clip 2: Linear Approximation of a Complicated Exponential

Clip 3: Question: Can We Use the Original Formula?

Worked Example

Product of Linear Approximations

Lecture Video and Notes

Video Excerpts

Clip 1: GPS Time Dilation Example

Clip 2: Relative Error

Recitation Video

Implicit Differentiation and Linear Approximation

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Course Info

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