Navigate back to the activity.

## Total Differentials on a Surface: Instructor's Guide

### Main Ideas

Estimated Time: 10 min

### Activity: Introduction

Students should be introduced to the ideas of differentials using a one-dimensional graph and the corresponding symbolic relationship. Then, give each group a plastic surface representing a function $f(x,y)$ and ask them to sketch $df$, $dx$, and $dy$ on the surface and to relate these differentials geometrically and then symbolically.

### Extensions

##### Views

New Users

Curriculum

Pedagogy

Institutional Change

Publications