Math 212: Multivariable Calculus (Spring 2006)
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Resources
 
  1. Visualizing Concepts in Multivariable Calculus
    The authors of our textbook, Richard Williamson and Hale Trotter have inspired numerous Java applets which assist in the visualization of the concepts of multivariable calculus.

  2. 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.

  3. 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
    .

  4. 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.

  5. 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.
  6. Visualizing direction fields and solution curves
    This website allows for visualization of simple direction fields. Numerically brittle. 
  7. 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.
  8. 2-Dimensional Newton's Method Applet
    This website demonstrates what Newton's Method in two-dimensions would look like.
  9. 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.
  10. Winplot: Free Software For Visualizing 2-D and 3-D Objects
    This software works in any Windows platform.
  11. Vector Field Analyzer
    This very cool java-based applet allows one to visualize vector fields, as well as make several related computations.
  12. 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.