Steven Amgott, Ph.D.

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Mathematics and Statistics Classroom Demos

Here are some Mathematica Demos, grouped by courses. Hopefully more will appear in the future. The date in parentheses is the last modification date for the notebook. Also see Mathematica _Tutorials for more general Mathematica notebooks. One very important NOTE: these demos were produced for Mathematica versions 4 and 5 and likely will not run properly in Mathematica version 6 without some editing.

If you download any of the following, and have trouble opening them on a computer equipped with Mathematica 3 or above because the icon for the file is wrong or blank, here are some instructions on how to possibly fix the problem.

Mac users may find that clicking on a file link opens it in your browser as a text file starting with "Mathematica-Compatible Notebook." If this happens, try again, but hold down the option key as you click the link. This can conceivably happen with Windows browsers as well. If so, try again, but right-click on the file and choose Save ___ As (where ___ is something like "Target" or "Link") in order to save the file in notebook format.

 Calculus

Derivative of b^x (March 3 2000)

Fundamental Theorem (December 20, 2004)

Derivative of Trigonmetric Functions (March 3 2000)

Numerical Integration (December 3, 2002)

Distance From Speed (March 3 2000)

Root Finding (March 3, 2000)

Function and Derivatives: Which is Which? (March 24, 2000)

Taylor Polynomials (October 15, 2004)

Multivariable Calculus

Animated Water Waves (February 16, 2000)

Gradient Search (March 27, 2006)

Critical Points and Lagrange Multipliers (March 22, 2002)

Multiple Integration (October 27, 2000)

Directional Derivatives (February 28, 2006)

Parametrizations of Curves (December 11, 2006)

Riemann Sums for Double Integrals Over Rectangles (March 24, 2004)

Taylor Polynomials (linear and quadratic) (February 25, 2000)

Linear Algebra

Areas Volumes Determinants (February 4, 2000)

Computer Graphics (October 10, 2000)

Step-by-Step Row-reduction (February 4, 2000)

 Differential Equations

Animated Waves (November 27, 2002)

Numerical Methods (February 22, 2000)

Population Models (February 11, 2000)

Series Solution Examples (includes Legendre and Bessel equations) (March 1, 2000)

Fourier Coefficients (March 17, 2000)

The remaining notebooks in this section require the third-party add-on package VisualDSolve. It is not part of the standard Mathematica media set. It is available (together with an accompanying book) from Telos at http://www.telospub.com/catalog/MATHEMATICA/VisualDSolve.html . If it is not on the computer running the notebook, you will be unable to generate the plots.

Almost Linear Systems (April 12, 2001)

Constant Coefficient 2nd Order (February 11, 2000)

Autonomous Systems (February 11, 2000)

Constant Coefficient Homogeneous Systems (February 11, 2000)

Circuits (February 11, 2000)

Constant Coefficient Phase Portraits (April 12, 2001)

Probability and Statistics

Confidence Intervals (February 4, 2000)

Linear Brownian Motion (October 31, 2001)

T-Distributions and the Standard Normal Distribution (November 7, 2001)

This page is under construction.







Last updated July 25, 2008.







This page maintained by Steven Amgott