Ideas and Resources by
First Year Calculus
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.
Mathlab Multivariable Calculus in the Lab:
(Newer Versions in the Maple 7 Folders of the Lab)
ODES and Multivariable Calculus:
Vector Field Analyzer: