An eTour of

Interactive Multivariable Calculus

This electronic document gives an overview of our course in multivariable calculus.  It shows you some of the basic Mathematica commands that you can easily use yourself.  It also uses some small programs to illustrate ideas in multivariable calculus, mainly with animations.  These "live" illustrations are part of the eVersion of the text.

This eTour is a Mathematica-created .html document.  (Soon it will be possible to distribute interactive web documents with Mathematica.  The Mathematica Notebook version of the tour, ANeTour.nb, can be read and run with the free MathReader program.)

What is multivariable calculus?

A Sample of Course Topics

Vector Geometry

Explicit Functions of Several Variables

Implicit Curves, Surfaces, and Contour Plots

Max-min in Several Variables

Multiple Integrals in Cartesian Coordinates

Parametric Curves

Vector Fields and Velocity Flows in 2D

Green's Theorem, 2-D Divergence and Swirl

Parametric Surfaces

Coordinate Systems

Flow in 3D, Divergence & Curl

Basic Mathematica

Calculus with Mathematica

Graphs with Mathematica

More Mathematica?

Main Organizing Themes

Explicit, Implicit, Parametric

Local Linearization

Building A Personal Geometric/Algebraic Lexicon


Converted by Mathematica      May 7, 2001