Academics

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


11:00-11:15 Welcome (NMM Lecture Room 1)

11:30-12:45 Lunch

1:00-3:15 Student Presentations

3:30-3:45 Closing (NMM Lecture Room 1)



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