Session 36: Differentials

OCW Scholar

« Previous | Next »

 

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

Flash and JavaScript are required for this feature.

» Clip 1: Introduction to Differentials (00:04:00)

» Accompanying Notes (PDF)

From Lecture 15 of 18.01 Single Variable Calculus, Fall 2006

Recitation Video

 

Computing Differentials

Flash and JavaScript are required for this feature.

Lecture Video and Notes

Video Excerpts

Flash and JavaScript are required for this feature.

» Clip 1: Differentials and Linear Approximation (00:10:00)

» Accompanying Notes (PDF)

From Lecture 15 of 18.01 Single Variable Calculus, Fall 2006

Recitation Video

 

Linear Approximation with Differentials

Flash and JavaScript are required for this feature.

Worked Example

 

Population Dynamics

 

« Previous | Next »