- Study quadric surfaces as a function of parameter.
- Compare geometry of a transformation with its linear approximation.
- Study roots of polynomials as functions of coefficients.
- Study implicit solution vs their linear approximations.
- Phase plane pictures of gradient vector fields.
- Quality of multivariable Taylor polynomial approximation.
- Behavior of Newton's method and its failures.
- Visualization of three dimensional regions of integration from limits of integration.
- Analyze numerical algorithms with Taylor series computations.
- Lighting models and computer graphics.
- Use Monte Carlo techniques to find the volume of a high dimensional ball.
**Web Resources:****Mathlab:**- http://www.mathlab.cornell.edu/computer_and_portfolio/index.html#MVAR
**Mathlab Multivariable Calculus in the Lab:**-

http://www.mathlab.cornell.edu/local_maple/mvc/lecguide.html*(Newer Versions in the Maple 7 Folders of the Lab)* **ODES and Multivariable Calculus:**- http://www.geom.umn.edu/ math335x/Labs/labs.html
**Vector Field Analyzer:**- http://math.la.asu.edu/kawski