Calculus of Vector-Valued Functions
Here are a few visual examples for
Pacific Tech's Graphing Calculator
software. Go to their website
to download the viewing software so that you can read following documents (right-click & "save as"):
Level Set Demo
Gradient as a vector field (2D)
The tangent line of a parametricly defined curve
Really cool first partial derivative visualization lesson
. Use this for quick questions about mathematics. It does a good job of automatically parsing your question, and giving you a variety of information to help you with your answer.
A cool tool to visualize the dot product
. Uses Java.
Interactive Gallery of Quadric Surfaces
Useful reading on Derivatives as matrices