Department of Mathematics
The Third Annual Harriett J. Walton
Symposium on
Undergraduate Mathematics Research
April 2, 2005
Partially funded by the MAA NSF-RUMC Program (NSF Grant DMS-0241090)
Schedule
Session 1
1:00-1:20, James Whitfield, Morehouse College
An Illustration of the Poincaré-Bendixson Theorem
1:25-1:45, Matt Leonard and Ryan Hansen, Berry College
The Algebraic Case of a Conjecture of Nakanishi
1:50-2:10, Ashley Askew, Clayton College and State University
The Delta Derivatives of Sine and Cosine Functions on Time Scales (preliminary results)
2:15-2:35, Catherine Crompton, Agnes Scott College
Periodic Sequences Generated by Iterated Matrix Products
2:40-3:00, Daren Elcock, Morehouse College
A study of a one-dimensional dynamical system
3:05-3:25, Chris Shaw, Morehouse College
Numerical Solution of Nonlinear Differential Equations
Session 2
1:00-1:20, Anthony Ryan Coln, Morehouse College
On the Piquant Cantor Set and Some Interesting Functions
1:25-1:45, James Sharber, Valdosta State University
Physically Based Billiards Simulation Using the RenderMan API
1:50-2:10, Adam Eisenman, Georgia Institute of Technology
Basic Digit Sets for Ternary Expansions
2:15-2:35, Adrienne White, Spelman College
Error Detection and Correction in Daily Life
2:40-3:00, Ankur Goel, Valdosta State University
Proving Trigonometric Identities Using the Unit Circle
3:05-3:25, Kevin T. Buckles, Morehouse College
The Application of Stochastic Modeling to Rainfall
Session 3
1:00-1:20, Ernest Leon Jackson, Morehouse College
Comprehensive Factorization in Integral Domains
1:25-1:45, Elam J. Hill, Albany State University
Tangle and L-system
1:50-2:10, Tiffany Clark, Albany State University
On Systems of Difference Equations with Fading Memory
2:15-2:35, Laura Storm, Albany State University
Hole Movement Matrix of the 15-Puzzle
2:40-3:00, Carl Slater, Morehouse College
Modeling Candidate Behavior as a Dynamical System
3:05-3:25, Ryan Hansen, Berry College
Derived Relative Extrema without Calculus














