18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part C: Mean Value Theorem, Antiderivatives and Differential Equations

Session 36: Differentials

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Overview

The differential dy represents an infinitely small change in the value of y. The derivative dy/dx can be thought of as a ratio of differentials. Using differentials will make our calculations simpler; here we see how they can be used to compute linear approximations.

Lecture Video and Notes

Video Excerpts

Clip 1: Introduction to Differentials

Recitation Video

Computing Differentials

Lecture Video and Notes

Video Excerpts

Clip 1: Differentials and Linear Approximation

Recitation Video

Linear Approximation with Differentials

Worked Example

Population Dynamics

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Course Info

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