Calculus III:  Maple Files

The following are the Maple files for the demos I used in class.  Please feel free to play around with them and investigate the mathematics involved!!!!

Sequences and Series


Demo 1:   Squeeze Theorem
Demo 2:   Alternating Series Estimation Theorem
Demo 3:   Power Series Representation 1
Demo 4:   Power Series Representation 2

Vector-valued functions


Demo 1:    Quadric Surface 1 - Paraboloid
Demo 2:    Quadric Surface 2 - Ellipsoid
Demo 3:    Quadric Surface 3 - Cone
Demo 4:    Quadric Surface 4 - Hyperboloid of One Sheet
Demo 5:    Quadric Surface 5 - Hyperboloid of Two Sheets
Demo 6:    Quadric Surface 6 - Hyperbolic Paraboloid
Demo 7:    Space Curves
Demo 8:    Cylindrical and Spherical Coordinates
Demo 9:    Parametric Surfaces

Derivative in n-space


Demo 1:    Limits in two-variables
Demo 2
:    Relationship between function and its first partials
Demo 3
:    Orderly Ocean Example
Demo 4
:    Tangent Planes

Integral in n-space

Demo 1:    Pictures from examples in lecture