1. Exploring Multivariable Calculus
   This is Paul Seeburger's award-winning site based on his NSF-supported program, Plot3D. This program is free, java-based tool that assists in visualizing concepts that arise in multivariable calculus.
2. Vector Field Online Grapher
   This is a very cool online program for the graphing of 2-D vector fields provided by  Kevin Mehall.
   

3. Visualizing Concepts in Multivariable Calculus
   Richard Williamson and Hale Trotter, authors of the textbook Multivariable Mathematics, have inspired numerous Java applets which assist in the visualization of the concepts of multivariable calculus.

4. Visualizing Arithmetic Operations on Vectors
   Here is an applet which allows you to see user-provided examples of  vector addition, subtraction and vector dot product.

5. Visualizing The Vector Cross Product
   This applet from Syracuse indicates how the vector cross product can be visualized and connects it to planes in R³.

6. Collection of Flash-based Tools for Multivariable Calculus
   These are Barbara Kaskosz's Flash-based tools which plot parametric curves, parametric surfaces, and 3-d surfaces.

7. 3D Grapher and Contour Map Grapher
   This is a Math Applet by Doug Ensley and Barbara Kaskosz that graphs 3-D surfaces or contours of a given function
   
   
8. Interactive Gallery of Quadric Surfaces
   This article at the Journal of Online Mathematics and its Applications by Jonathan Rogness allows the user to interactively view (from any angle!) how  quadric surfaces depend on their parameters.
9. Visualizing direction fields and solution curves
   This website allows for visualization of simple direction fields. Numerically brittle. 
10. Fancier program for visualizing direction fields 
    This website (requires installation of Java 1.1.6) and uses DFIELD to show direction fields and solution curves.
11. 2-Dimensional Newton's Method Applet
    This website demonstrates what Newton's Method in two-dimensions would look like.
12. MathsHelp: Working With Vectors
    A very cool website which discusses vector equations of planes and lines well as other useful operations with vectors such as the vector cross product and dot product.
13. Winplot: Free Software For Visualizing 2-D and 3-D Objects
    This software works in any Windows platform.
14. Vector Field Analyzer
    This very cool java-based applet allows one to visualize vector fields, as well as make several related computations.
15. Paul Falstad's Vector Field Simulator
    This very dynamic, animated java-based applet allows one to simulate actual  vector fields. It has a number of defined 2-D fields as well as allowing for user-defined fields. It also computes the curl and divergence of the 2-D fields, illustrating Green's and Stokes' Theorem. There is a limited 3-D version and many other cool "mathlets" at Paul Falstad's website.

Last Updated by Ron Buckmire on  August 19, 2014