Visuals and Modules
Chapter 17: Vector Calculus
This comprehensive site offers information on almost every aspect of elementary vector calculus.
Vector Field Analyzer
A similar Java applet that plots the vector fields of sample functions and lets you analyze the flow and other properties of the vector field.
Visualizing Circulation of Vector Fields
This site shows how line integrals over a closed curve in a plane can be visualized as ordinary integrals with respect to the arc length parameter.
Curl and Divergence
Flows of Vector Fields
A Java applet that plots the vector fields of several functions and shows the effect of curl and divergence.
From Points to Regions
A guide showing how the divergence of a vector field combined with integration can be used to determine characteristics of an entire region in one, two, and three dimensions.
Divergence in Two and Three Dimensions
A tutorial using population growth and migration to explain divergence in a vector field in two and three dimensions.
Parametric Surfaces and Their Areas
Surface Area for Parametric Surfaces
This online graphing tool allows the user to generate parametric surfaces.