MATH 498
Past Senior Research Projects

Students - Spring 2008
Titles
Directing Professors
Sanja Berec
Computed Tomography
Dr. Daniel Biles
Jason Carson
Galois Groups of Graphs
Dr. Dominic Lanphier
Emily Hartman
Math and Dance:  Contra and Square Dancing
Dr. Ferhan Atici
James Polcer
Confidence Intervals for the Ratio
of Two Exponential Means
Dr. Jonathan Quiton
Frank Polivka
A Geometric Betting Challenge
Dr. David Neal
April Porter
What Baseball Stats Really Tell Us . . .
According to SABERMETRICS
Dr. Daniel Biles
Bailey Ross
The Nullification Number of Knots
Dr. Claus Ernst
Kristi Rozwalka
Investigating Confidence Intervals
for the Population Proportion
Dr. Melanie Autin
Adam Rusnock
Application of Agretsi-Coull's Interval
Estimation on Quality Control Data
Dr. Jonathan Quiton
Catherine Wilson
A Goodness of Fit Test on a Queue:
Is it a Poisson Distribution?
Dr. David Neal


Students - Fall 2007
Titles
Directing Professors
Stephanie Burnley
Solution Approaches for the Aging Spring
Dr. Daniel Biles
Samantha Carter
Probabilities and Strategies of Blackjack
Dr. Daniel Biles
Nicholas Johnson
Maximum Modulus Principle for Complex Functions
Dr. Lan Nguyen
Courtney Kepple
Some Interesting Properties of Parabolas
Dr. Tom Richmond
Mirzet Music
The Simplex Method and Duality
in Linear Programming
Dr. Nezam Iraniparast
Laura Payton
Properties of Harmonic Functions Working in Harmony
Dr. Lan Nguyen
Ryan Simpson
The Finite Element Method
Dr. Dominic Lanphier
Quinn Thomas
A Truncated Geometric Distribution
Dr. David Neal


Students - Spring 2007
Titles
Directing Professors
James Bush
Selected Topics in Dynamics
Dr. Mark Robinson
Becca Davis
The Tower of Hanoi Problem and Pascal's Triangle Mod 2
Dr. Tom Richmond
Mahannah El-Farrah
Knot Polynomials in the Context of Alexander & Pride Ideals
Dr. Jens Harlander
Cassidy Fykes
Lorentz Transforms
Dr. Dominic Lanphier
Thomas Griggs
Interesting Graphs of Parametric Surfaces
Dr. Peter Sepanski
Blake Hall
Hypotheticalitis: The Spread of Diseases and How to Control Them
Dr. Daniel Biles
Jake Hobson
The Search for Skinny Polynomials
Dr. Jens Harlander
Jennifer Hohn
Mean and Variance in Random Bowling
Dr. David Neal
Amanda Jones
Netflix Queues and Cayley Graphs of the Symmetric Group
Dr. Dominic Lanphier
Jennifer Jones
Hypothesis Testing for Exponentially Distributed Measurements
Dr. David Neal
Cody Lorton
Pride Ideal Invariants for Groups
Dr. Jens Harlander
James Overton
Using the Math: Satellite Orbits
Dr. David Neal
Nathan Russell
Government Funded Market Manipulations
Dr. Ferhan Atici
Joseph Shields
Hyperbolic Tiling via Mathematica
Dr. Peter Sepanski
Bridget Simon
Applications of Eigenvalues and Eigenvectors
Dr. Daniel Biles
Tyler Turner
Numerical Integration: A Monte Carlo Method
Dr. Alexander Barsilov


Students - Fall 2006
Titles
Directing Professors
Ben Brewster
Predicting Long-Term Incentives
Dr. John Spraker
Erin Capece
Cauchy Integrals of Two-by-Two Matrices
Dr. Lan Nguyen
Tucker Davis
Duels, Truels, and Gruels
Dr. Dominic Lanphier
Kevin Dick
How Imaginary Numbers are Used in Engineering
Dr. Bruce Kessler
Drew Fulkerson
An Introduction to Polygonal Numbers
Dr. Wanda Weidemann
Rachel Perkins
Newton's Method of Approximation
Dr. Mark Robinson
Aimee Quisenberry
Geometric Theorem Proving Using Geometric Algebra
Dr. Jens Harlander
Andrew Vickery
A "Challenging" Problem in Tennis Tournaments
Dr. David Benko
April Williams
Quantum Calculus
Dr. Ferhan Atici
Nathan Wilson
Maximizing Consumer Utility in Economics
Dr. Daniel Biles
Nicole Zirkelbach
Fractional Calculus
Dr. Ferhan Atici


Student - Summer 2006
Titles
Directing Professor
Courtney Abell
An Unusual Initial Value Problem
Dr. Daniel Biles


Students - Spring 2006
Titles
Directing Professors
Dzevad Avdic
Perturbation Methods
Dr. Nezam Iraniparast
Carrie Dawson
Optimization: Linear Programming and the Simplex Method
Dr. Mark Robinson
Michael Depersio
Finiteness Properties over Polynomial Rings
Dr. Jens Harlander
Andrew Lindsey
Tacoma Narrows Bridge
Dr. Bruce Kessler
Charles Poteet
The Geodesic Equation
Dr. Wayne Tarrant
Jeff Ray
A Mathematical Process for Searching on the World Wide Web
Dr. Dominic Lanphier
Rebekah Sallee
Models of Time Series Analysis
Dr. John Spraker
Noel Simms
Astronomical Mathematics
Dr. Daniel Biles
Kim Vo
Functions on Diagonalizable Matrices
Dr. Lan Nguyen


Students - Fall 2005
Titles
Directing Professors
Chris Brasfield
Knots and Sticks
Dr. Claus Ernst
Jenny Culver
Eigenvalues of a Matrix, Systems of Diff. Equations,
and Lyapunov's Theorem
Dr. Lan Nguyen
Lucas Devore
The RSA Cryptosystem and Prime Numbers
Dr. Dominic Lanphier
Joe Howard
Self-Similar Fractals, Madelbrot Sets, Julia Sets
Dr. Claus Ernst
Lisa Johnson
Orthogonality of Vectors and Applications to PDEs
Dr. Lan Nguyen
Charles Miller
The Cayley Graph of PSL2(Zn) for Highly Composite n
Dr. Dominic Lanphier
Tim Morgan
Different Approaches to Solving the Schrodinger Wave Equation
Dr. Daniel Biles
Tonya Scott
Connectedness of Planar Graphs
Dr. Dominic Lanphier


Students - Summer 2005
Titles
Directing Professors
Aziz Bah
A One-Sided Boundary Problem
for Two-Dimensional Simple Random Walks
Dr. David Neal
Mike Russell
Partial Differential Equations of a Vibrating String
with Fixed Ends and Generalization
Dr. Lan Nguyen


Students - Spring 2005
Titles
Directing Professors
Sara Barton
Counting Monochromatic Regions
Dr. Peter Sepanski
Evan Bowles
An Introduction to Rational Tangles and 4-Plats
Dr. Claus Ernst
Matt Dawson
Iterated Functional Systems and Fractal Fixed Points
Dr. Bruce Kessler
Justin Grieves
Average Extrema of Geometric Random Walks
Dr. David Neal
Richard Phillips
Graphical Representation of Lattice Embeddings
Dr. Claus Ernst
Derek Stice
The Dirac Delta Function:
Applications, Connections and Definitions
Dr. Daniel Biles
Noah Turner
A Brief Look at the Two-Player Zero-Sum Game
Dr. Bruce Kessler


Students - Fall 2004
Titles
Directing Professors
Leslie Adams
Probabilities and Averages for Casino Betting Games
Dr. David Neal
Kevin Burns
A Three-Dimensional Problem in Electrostatics
Dr. Daniel Biles
Jennifer Helm
A Distribution of Geometric Averages
Dr. David Neal
Mark Mabry
Increasing the Accuracy of Confidence Intervals
for Exponential Means
Dr. David Neal
Carey O'Connor
Underdetermined and Overdetermined Systems of Linear Equations
Dr. Daniel Biles
Adam Pike
Gender vs. Age in Fatal Auto Accidents
Dr. Barry Brunson


Students - Spring 2004
Titles
Directing Professors
David Altmaier
An Examination of Pick's Theorem
Dr. Wanda Weidemann
Patrick Brown
Binomial Bowling
Dr. David Neal
Frank Cleberg
The Pythagorean Theorem for Similar Shapes
Dr. James Barksdale
David High
Euclidean Constructions: What Can and Can't Be Done
Dr. John Spraker
Travis Keeling
Effects of Wind Speeds on the Maximum Height
and Velocity of a Fountain
Dr. Sherrie Serros
Buddy Lagani
On the Class of Diophantine Equations 1/x + 1/y = 1/n
Dr. Wayne Tarrant
Krisztian Trestyanszki
The Ends of Graphs and Groups
Dr. Jens Harlander
Paige Wimpee
Symmetry Groups of Regular Polyhedra
Dr. Claus Ernst


Students - Fall 2003
Titles
Directing Professors
Jason Harrington
Distances Between Points in Cantor-like Sets
Dr. Tom Richmond
Christopher Jones
Nice Polynomials
Dr. Jean-Claude Evard
Stacy Patrick
Approximating Pi with the Golden Ratio
Dr. David Neal