Visuals and Modules
Web Links

**Chapter 17: Vector Calculus**
Vector Calculus
This comprehensive site offers information on almost every aspect of elementary vector calculus.

**Section 17.1: **Vector Fields

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.

**Section 17.2:** Line Integrals

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.

**Section 17.5: **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.

**Section 17.6:** Parametric Surfaces and Their Areas

Surface Area for Parametric Surfaces
This online graphing tool allows the user to generate parametric surfaces.