MAA-SE 2007 slides
CPSC 5185 Artificial Intelligence lecture on the prisoners and guards puzzle.
"Compartment Systems with Feedback Control" discusses elementary feedback control in two and three compartment systems. Presented at ICTCM on November 18, 2000. Web version, PowerPoint slides / associated Maple worksheet, Scientific Notebook document
"Creating Animated GIFs for the WWW with Maple" outlines the process by which Maple can be used to create animated gifs. Sample worksheets and sample gifs are included. Presented at the Fifth Annual Valdosta State University Mathematics Technology Conference on February 25, 2000.
"Series Ideas Add Up to Interesting Mathematics" (available in pdf or Word 97 format) uses infinite series to determine the area and volume for a couple of fractals and an integral-free variation on Gabriel's Horn. With each example, we see a figure having a finite area (or volume) and an infinite perimeter (or surface area). Originally presented at the annual meeting of the GCTM on October 15, 1999.
"Introduction to Fractal Geometry" introduces the Sierpenski triangle and the Koch snowflake as examples of fractals. Topics addressed include self similarity, area and perimeter of fractals, fractal dimension, and applications. Originally presented to the Mu Alpha Theta Club of Columbus High School on May 13, 1999.
"A Discrete Model for Genetic Variations with Mutations" (Maple worksheet) discusses iterative models for genetic variations, with implementations in Maple. Originally presented in "The Theory of Evolution and Dynamical Systems" by Hofbauer and Sigmund, one model accounts for natural selection, and a second accounts for mutations. Talk presented at the Third Annual Valdosta State University Mathematics Technology Conference on February 27, 1998.
"Exploring Simpson's Rule for Integration with Maple" (Maple worksheet) describes a calculus assignment intended to lead students to investigate the principle behind Simpson's rule. Presented at the Fourth Annual Valdosta State University Mathematics Technology Conference on February 26, 1999.
"Predicting Limits for Boltzmann-type ODEs" (Adobe pdf file) discusses the use of the logarithmic norm of an operator to predict the asymptotic behavior of solutions to systems of ordinary differential equations which arise in the study of certain kinds of Boltzmann energy equations. Presented at the Second World Congress of Nonlinear Analysts on July 12, 1996.
"Something for Everyone: Approximation Theme Provides Carry-over" (Adobe pdf file) outlines a series of Maple based calculus assignments in which students are exposed to a variety of schemes for approximating a function with a quadratic polynomial -- interpolation, Taylor polynomials, and matching up the moments of a function. Included is a Maple assisted proof sketch that the moments scheme is "best" in the L2 sense. Presented at the statewide seminar Innovations in Undergraduate Mathematics in Georgia on May 7, 1996.
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