Navigate to course home page

The Hillside

Keywords: Multivariable Calculus, Gradient, Surfaces


Highlights of the activity

  1. This small group activity using surfaces introduces the gradient.
  2. Students work in small groups to determine the steepest slope and direction at a given point, then compare these results with the computed gradient.
  3. The whole class wrap-up discussion emphasizes the geometric properties of the gradient.

Reasons to spend class time on the activity

This is the first activity using gradient, introducing some of its geometric properties using surfaces.


Instructor's Guide

Student Handouts


Authors: (c) Aaron Wangberg and the "Raising Calculus to the Surface" team; used by permission.
To edit this page, go here

Personal Tools