Electronic Proceedings of the Eighteenth Annual International Conference on Technology in Collegiate Mathematics

Orlando, Florida, March 16-19, 2006

Paper W013

This is an electronic reprint, reproduced by permission of Pearson Education Inc. Originally appeared in the Proceedings of the Eighteenth Annual International Conference on Technology in Collegiate Mathematics, Edited by Joanne Foster, ISBN 0-321-49160-2, Copyright (C) 2007 by Pearson Education, Inc.


Modeling with Discrete Dynamical Systems

William P. Fox


Francis Marion University
Florence, SC 29501
USA


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Thomas L. Fitzkee


Francis Marion University
Florence, SC 29501
USA


list of all papers by this author

Richard D. West


Francis Marion University
Florence, SC 29501
USA


list of all papers by this author

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ABSTRACT

We have added the Discrete Dynamical Systems component to our Modeling with college algebra courses. Additionally, we teach it as an elective as part of a Bridges grant between our university and the technical colleges to attract interested science students to come to the four-year college to complete a BS degree. Topics include: modeling with affine DDS through systems of DDS (mortgage models, credit card models, drug dosage models, spotted owl model, competitive hunter model) using the TI-83+ or TI-84 calculator. Handouts will be provided on models and calculator usage. We discuss equilibrium and stability of the DDS.

Keyword(s): modeling, dynamical systems, TI-83, applications