Materials for multivariable calculus that use "live" graphs and computing to help students learn and apply this core subject to a variety of disciplines.  The text presents the traditional subject and the electronic version includes all the print material plus animations of basic topics, additional examples, and computing assignments that go beyond the basic topics.

These materials have a printed text and a "live" electronic version in Mathematica NoteBooks.

Interactive Multivariable Calculus as Mathematica Notebooks

To view the "live" files in the materials above you must open them with Mathematica or the free Mathematica Player program. There is an online beginning tutorial at Mathematica Tutorial. The Mathematica Primer in the eText will also help get you started.

webComputations to support Interactive Multivariable Calculus:

iMultiCalc

Multivariable calculus combines basic calculus and analytical geometry to study higher dimensional problems.

The figure on the right is the explicit graph of a function of two variables intersected by a plane at a constant height. The "contour" at this level is the intersection curve shown in the base plane. 

In the "live" text, this is animated to show changes in the contour curve as the plane moves.  The next link gives a brief web tour of  the materials that does not need Mathematica Player

An html Tour of the text