Senior Seminar

Senior Seminar (MTH 491), is the capstone course for mathematics majors. Each student completes a senior project, which is usually a research project but may be an expository paper. Each student also prepares an oral presentation on his or her project; these presentations are given near the end of the semester.

Students who have arranged for an internship at an outside company may use this to satisfy their capstone requirement. These students should contact their departmental advisor well in advance of the internship to make arrangements.


Recent Undergraduate Capstone Projects

The research topics for Senior Seminar are almost unlimited. Recently, students have written capstone papers on mathematical physics, complex analysis, game theory, geometry, numerical analysis, and other topics.


2014 – Senior Seminars

  • Brittney Baisden
    Methods of Determining Voting Power
    Advisor: Dr. Elizabeth Niese
  • Tyler Bonnett
    Treating Binary Data with Modified Poisson Regression
    Advisor: Dr. Laura Adkins
  • Ricky Campbell
    Orthogonal Latin Squares
    Advisor: Dr. Carl Mummert
  • Sam Cogar
    Modeling the Effect of Perturbations on Riverine Level Metabolic Dynamics
    Advisor: Dr. Jeff Kovatch (Biological Sciences)
  • Arleigh Dickerson
    Proofs of the Hook Length Theorem
    Advisor: Dr. Elizabeth Niese
  • Mark Foster
    Statistical Imputation
    Advisor: Dr. Laura Adkins
  • Andrew Henrichs
    Applications of Adaptive-Step Numerical Methods To A Problem In Nonlinear Chemical Dynamics
    Advisor: Dr. Scott Sarra
  • Rebecca Hovemeyer
    Left, Center, and Right
    Advisor: Dr. Carl Mummert
  • Croix Keener
    Systems of Equations on the Differential Analyzer
    Advisor: Dr. Bonita Lawrence
  • Madison McGraw
    Modeling the Nizhoni River
    Advisor: Dr. Judy Silver
  • Christian Myers
    The Five Color Theorem
    Advisor: Dr. Mike Schroeder
  • Jordan Paris
    Breaking Subsystems in Cycle Systems
    Advisor: Dr. Michael Schroeder
  • David Poole
    The Differential Analyser
    Advisor: Dr. Bonita Lawrence
  • Brenna Pringle
    Optimizing Winning Strategies in Basketball
  • Joseph St. Clair
    Accuracy of TrueSkill using Discriminant Analysis
    Advisor: Dr. Avishek Mallick
  • Heather Ross
    Analysis of Variance for the Poisson Distribution
    Advisor: Dr. Laura Adkins
  • Skye Smith
    Different Methods of Modeling and Forecasting Mortality
  • Brian Stilgenbauer
    Thue’s Theorem on Circle Packings
    Advisor: Dr. Carl Mummert
  • Katie Straub
    Two-dimensional Symmetry Groups
    Advisor: Dr. Judy Silver


2013 – Senior Seminars

  • Kelsi Halbert
    Methods of Linear Programming
    Advisor: Dr. Alan Horwitz
  • Katie Hendricks
    Vedic Mathematics
  • Zach Hunter
    Long-term Implementation of Genetic Diversity in Disease Modeling
    Advisor: Dr. Anna Mummert
  • Rob Jenkins
    Social Network Analysis of the Enron Email Corpus.
  • Collin Meadows
    Proofkit: The Digital Proof Teaching Aid
    Advisor: Dr. Judy Silver
  • Chris Means
    Electrostatics on Time Scales
    Advisor: Dr. Bonita Lawrence
  • Matt O’Neal
    Fractional Calculus: A Brief Look
    Advisor: Dr. Anna Mummert
  • Laura Smiley
    The Fractal Dimension of Regular Fractals
  • Jeff Strachan
    Ramsey Theory
    Advisor: Dr. Carl Mummert
  • Natalie Taylor
    Mortality Tables and Pension Plans
  • Steven Alley
    Fibonacci and Lucas Sequences
    Advisor: Dr. John Drost
  • Hannah Brewer
    Modeling Resilin in the Praying Mantis Strike
    Advisor: Dr. Anna Mummert
  • Amanda Craft
    Spherical Platonic Solids and the Two-Colorability of a Sphere
    Advisor: Dr. Judy Silver
  • Cameron Loader
    Analysis of Logistic Regression for Prediction
    Advisor: Dr. Laura Adkins
  • Spiro Stilianoudakis
    Pierre de Fermat and his “Last Theorem”
    Advisor: Dr. Anna Mummert


2012 – Senior Seminars

  • Ayo Akinsete
    Degrees of Skewness
    Advisor: Dr. Laura Adkins
  • Alexandria Amorim
    Modeling Predator-Prey Population Cycles of the Canadian Lynx and Snowshoe Hare
    Advisor: Dr. Anna Mummert
  • Miranda Asbury
    Complements of Graphs from Row and Column Orthogonal (0,1)-Matrices
    Advisor: Dr. Michael Schroeder
  • Courtney Bell
    A Second Look at the Frenet-Serret Apparatus for Curves on a Sphere
    Advisor: Dr. Judith Silver
  • David Facemyer
    The Hybrid Phonoriton in Organic-Semiconductor Heterostructures
    Advisor: Dr. Q. Huong Nguyen, Department of Physics
  • Lindsay Hansen
    A Mathematical Look at Meteorology
    Internship, WSAZ Meteorology
  • Allison Kelley
    Poisson Regression Model
    Advisor: Dr. Laura Adkins
  • Michael Lyden
    Pattern Avoidance
    Advisor: Dr. Elizabeth Niese
  • Mallory Price
    Data Analysis of Respiratory Rates of Freshwater Mussels in Declining Oxygen Conditions
    Advisors: Dr. Jeffrey Kovatch, Division of Biological Sciences, and Dr. Anna Mummert
  • Jeremy Samples
    The Frobenius Number and its Modern Connections to Society
    Advisor: Dr. John Drost
  • Amanda Sellers
    The Effect of the WTO on a Country’s Imports
    Advisor: Dr. Rishav Bista, Division of Finance and Economics
  • Brittany Whited
    Modelling Gravitropic Curvature in Pea Stems
    Advisors: Dr. Marcia Harrison, Biological Sciences, and Dr. Scott Sarra, Mathematics


2011 – Senior Seminars

  • Jeremy Brooks
    Predicting the Offensive Play Calling of the 2011 Marshall Thundering Herd Football Team
    Advisor: Dr. Alfred Akinsete
  • Jamie Burchett
    Counter-steering on single-track vehicles
    Advisor: Dr. Bonita Lawrence
  • Stephen Deterding
    Differential Equations on the Complex Plane
    Advisor: Dr. Evelyn Pupplo-Cody
  • George Chappell
    The Fundamental Correspondence
    Advisor: Dr. Peter Saveliev
  • Jack Goodman
    Riemann Surfaces
    Advisor: Dr. Bonita Lawrence
  • Brittany Massie
    “Optimal” Blackjack Strategy and the Mathematics
    Advisor: Dr. Laura Adkins
  • Derek Muskgrave
    Ulam’s Spiral and Its Diagonals
    Advisor: Dr. John Drost
  • Samantha Skelley
    Time Scales Calculus and the Differential Analyzer
    Advisor: Dr. Bonita Lawrence
  • Sean Sovine
    The Implicational Logic of Reverse Mathematics
    Advisor: Dr. Carl Mummert
  • Kacie Sutton
    Discretizing the SI Epidemic Model
    Advisor: Dr. Anna Mummert
  • Leah Treadway
    Conics Graphed on a Sphere
    Advisor: Dr. Judith Silver


2010 – Senior Seminars

  • Maggie Elizabeth Chenoweth
    The Mathematics of Numerical Computing
  • Anthony Michael Hernandez
    The Mathematics of an Interferogram of a System in Motion During a Brief Time Interval
  • David Hines
    Particular to General: An Introduction to Time-Scales Calculus
  • Alex King
    Von Staudt Theory: The Synthetic Treatment of Imaginary Elements within Projective Geometry
  • John Linville
    Improvements in Titanium-Dioxide Thin-Film Dye Sensitized Solar Cells
  • Tyson Joseph Lipscomb
    Gödel’s Incompleteness Theorems: A Revolutionary View of the Nature of Mathematical Pursuits
  • Chad Lott
    A Study of Einstein’s Theory of Relativity
  • Andrew Merritt
    Time Scales and the Cantor Set
  • Carla Ramirez
    Game Theory and the Question of Work: Modeling Economic Work Decisions in West Virginia using 2-Person Non-Zero Sum Games
  • Kole Shannon
    Fractals: Mandelbrot’s Gift to the World
  • Kevin Western
    Different Picture Planes of Perspective
  • Jewelia Williams
    The Effects of Multiple Representations on Mathematical Academic Performance