Research Opportunities in Mathematics
There have been many projects students have engaged in research over the years.
Spring 2010
Sujan Pant
title forthcoming
Faculty Sponsor: Dr. Dennis Merino
Fall 2009
John Howell
Covered Groups and Finite Fields
Faculty Sponsors: Dr. Alan Cannon and Dr. Kent Neuerburg
Spring 2008
Veronica Wills
A Study of the Solutions to the Family of Differential Equations f’(x) = 1/[f(f( f(x)))]
Faculty Sponsor: Dr. Randall Wills
First Place, Undergraduate Papers, 85th Annual Meeting of the LA/MS Section of the MAA, Spring 2009
Spring 2007
Matt Arbo
Centers and Generalized Centers of Nearrings of Polynomials
Faculty Sponsor: Dr. Alan Cannon
Honors Senior Thesis
Matt Arbo
Solutions to the Fermat-like Equations fn + gn = hn in the Space of Linear Functions
Faculty Sponsor: Dr. Randall Wills
Second Place, Undergraduate Papers, 84th Annual Meeting of the LA/MS Section of the MAA, Spring 2007
Spring 2006
Robbie Beyl
Solving Recurrence Relations Using Differential Equations
Faculty Sponsor: Dr. Dennis Merino
Spring 2004
Robbie Beyl:
Investigating the Shortest Distance Between the Branches of the Graphs of y=1/(xn) Where n is an Odd Positive Integer
Faculty Sponsor: Dr. Edgar Reyes
Michelle Cudd
Adjoint Regular Inverses of Matrices
Faculty Sponsor: Dr. John Lewallen
Honors Senior Thesis
Clinton Lovell:
General Characterization of NxN Pythagorean Matrices
Faculty Sponsor: Dr. Tilak deAlwis
Winner: Third Place, Undergraduate Papers - 81st Annual Meeting of the LA/MS Section of the MAA, Spring 2004
Simon Pfeil:
Orthogonal Polynomials and Their Applications
Faculty Sponsor: Dr. Ken Li
Fall 2003
Brandy Dieutto
Iterated Tangent Lines of Cubic Polynomials and Area Problems
Faculty Sponsor: Dr. Tilak deAlwis
Michael Kraus:
Convergence of an Iterative Sequence
Faculty Sponsors: Dr. Ken Li and Dr. Dennis Merino
Timothy Tassin:
Generating Random Numbers
Faculty Sponsor: Dr. Ken Li
Spring 2003
Loretta George:
Characteristic Polynomials of One-Parameter Classes of Matrices
Faculty Sponsor: Dr. Tilak deAlwis
Winner: Second Prize, Undergraduate Papers - 80th Annual Meeting of the LA/MS Section of the MAA, Spring 2003
Matthew Milton:
Surface Areas of Solids of Revolution About Oblique Axes
Faculty Sponsor: Dr. Tilak deAlwis
Timothy Tassin:
Solving Systems of Differential Equations using Excel
Faculty Sponsor: Dr. Ken Li
Fall 2002
Alisha Dugopolski:
Volumes of Solids of Revolution around Oblique Axes
Faculty Sponsor: Dr. Tilak deAlwis
Michael Kraus and Hunter Poitevint:
The Koch Snowflake
Faculty Sponsor: Dr. Dennis Merino
Matthew Milton:
Maximizing and Minimizing With and Without Calculus
Faculty Sponsor: Dr. Tilak deAlwis
Winner: Third Prize, Undergraduate Papers - 80th Annual Meeting of the LA/MS Section of the MAA, Spring 2003
Spring 2002
Daniel Bankston:
Analyzing Transformations in Hyperbolic Geometry
Faculty Sponsor: Dr. Edgar Reyes
Winner: Honorable Mention, Undergraduate Papers - 79th Annual Meeting of the LA/MS Section of the MAA, Spring 2002
Adam Danley:
Searching for Equidistant Graphs
Faculty Sponsor: Dr. Edgar Reyes
Loretta George:
Visualizations of the Center of Gravity of Variable Plane Regions
Faculty Sponsor: Dr. Tilak deAlwis
Winner: Second Prize, Undergraduate Papers - 79th Annual Meeting of the LA/MS Section of the MAA, Spring 2002
John Pierce:
Exploring the Center of Gravity of Exponential and Logarithmic Regions
Faculty Sponsor: Dr. Tilak deAlwis
Winner: Third Prize, Undergraduate Papers - 79th Annual Meeting of the LA/MS Section of the MAA, Spring 2002
Fall 2001
Allen Battles:
A Graphical Approach to Hyperbolic Geometry
Faculty Sponsor: Dr. Edgar Reyes
Cadence Ellington:
The Distance Between A Point and A Line Using Different Norms
Faculty Sponsor: Dr. Dennis Merino
Winner: First Prize, Undergraduate Papers - 79th Annual Meeting of the LA/MS Section of the MAA, Spring 2002
Loretta George:
The Locus of the Center of Gravity of Plane Regions
Faculty Sponsor: Dr. Tilak deAlwis
Bonnie Williams:
Reactions of Future Mathematics Educators to the use of Manipulatives and Technology
Faculty Sponsor: Dr. Elizabeth Gray
Spring 2001:
Michael Bard, Edward Fuselier, and Denny Himel:
The Distance Between A Point In Cn and a Subspace Of Cn
Faculty Sponsor: Dr. Dennis Merino
Spring 2000
Michael Bard:
The Locus of the Center of Mass of a Region Bound by Two Surfaces in Three-Space
Faculty Sponsor: Dr. Tilak deAlwis
Winner: Honorable Mention, Undergraduate Papers - 77th Annual Meeting of the LA/MS Section of the MAA, Spring 2000
Dylan M. Copeland:
Algorithms in Discrete Minimization Applications
Faculty Sponsor: Dr. Dennis Merino
Winner: Honorable Mention, Undergraduate Papers - 77th Annual Meeting of the LA/MS Section of the MAA, Spring 2000
Edward Jules Fuselier, Jr.:
Investigations in Quadratic Curve Fitting
Faculty Sponsor: Dr. Dennis Merino
Fall 1999
Connie R. Monceaux:
The Effect of Math 460 on Students' Opinions About and Confidence in Teaching Secondary Math
Faculty Sponsor: Dr. Elizabeth Gray
Spring 1999
Laremy Cowart
Computer Images of Iterative Functions
Faculty Sponsor: Dr. Danny Acosta
Tina Stephens:
The Nearring of Polynomials in Two Variables
Faculty Sponsor: Dr. G. Alan Cannon
Winner: Second Prize, Undergraduate Papers - 76th Annual Meeting of the LA/MS Section of the MAA, Spring 1999
Published as "Left Identities and Associated Subnearrings of the Nearring of Polynomials in Two Variables" in Pi Mu Epsilon Journal
Fall 1998
Debra Broussard, Eric Burns, and Natalie Perez:
Investigating the Flow of Traffic at the Corner of North Oak Street and Western Avenue
Faculty Sponsor: Dr. Edgar Reyes
Competitions
Students interested in competing at an upcoming sectional meeting of the Mathematics Association of America should contact Dr. Dennis Merino