Mathematics Department

Senior Capstone Projects

Graduating seniors majoring in Mathematics are required to complete the Capstone course. This is currently offered during the Fall semester.  Students are strongly encouraged to that a Capstone Preparation course during the Spring of the Junior year to identify potential topics, investigate background material, and obtain practice with the proposal process.  As part of the Capstone course, each student proposes and carries out an individual research project under the direction of a faculty advisor. Those students taking the course in 1999, 2000 and in 2001 presented their projects orally, through a poster session, and here, through their web pages. Starting in 2002, students taking the course presented their projects either orally or in a written thesis. In addition they also completed either a poster or a web page.

Fall 2013

  • Paul Attkisson, A Probabilistic Approach to a Binomial Identity
  • Ashley Budfuloski, Polynomial Equations and The Fundamental Theorem of Algebra
  • Jennifer Chavez-Lanza, Stability Analyses of Several Predator-Prey Models
  • Maddy Christman, Lie Matrix Groups: An In Depth Look at the Flip Transpose Group
  • Shawn Jackson, Linking Markov Chains
  • Jim Meyring, The Dynamics of Newton's Method for Complex Polynomials
  • Rebecca Peterson, Patterns of Pascal's Triangle and Pyramid with Combinatorics
  • Ivan Sanchez, Conics and Their Zero Sets
  • Brooke Swanson, Elliptic Curves Over Finite Fields

Fall 2012

  • Casey Adams, The Zombie Apocalypse
  • Andrea Cruz, The Sprague-Grundy Theorem
  • David Reaves, Knot Theory: A Proof of Reidemeister's Theorem
  • Justine Duke, Lansey's Hypothesis
  • Lauren Toohey, Stochastic Optimization and the Newsboy Problem
  • Trevor Milford, Steganography

Fall 2011

  • Megan Ameche, Autonomous Robotic Movement Planning
  • Alicia Costin, Burnside's Lemma and Polya's Theorem
  • Christina Messer, Monopoly and Markov Chains
  • Evan Reed, The Field of Cryptography Exposed
  • Micheal Rodriguez, p-adic Analysis, or, The Prime that Killed Calculus
  • Randee Smith, Evolutionary Game Thoery
  • Travis Severt, Investigation into the Mathematical Framework of General Relativity
  • Miguel Tenorio, Pinpoint: The Colors of Graph Theory and Adjacency Matrices

Fall 2010

  • Lydia Cleveland, Wallpaper Groups- Euclidean and Hyperbolic
  • Jonathan Davies, Describing the Pursuit Curve of Missiles en route to Destroy Satellites
  • Samuel Lyche, Markov Chain Analysis of NFL Overtime
  • Robert Spangler, Markov Applications to Soccer Formations
  • Travis Wheaton, The Hunt for the Classification Theorem for Surfaces

Spring 2010

  • Zach Gallen, The Real Line is Uncountable: A Topological Proof
  • Elizabeth Caulkins, Rieman Zeta-Functions and Quadratic Fields
  • Lauren Dakin, Mathematical Enigmas: Carroll's Guessing Game and a Strategy Puzzle
  • Brian Kahovec, Public Key Cryptosystems

Spring 2009

  • Kelsey Hart, An Investigation of Hyperbolic Triangles
  • Alex Sherbetjian, Being Transcendental: Searching for Transcendental Numbers
  • Katie White, Magic Square Rubik's Cubes
  • Ashley Bentz, Explorations of the Four Color Theorem
  • Kristina Klug, A Statistical Analysis of NASCAR Scoring Systems
  • Katy Roller, Cellular Automata and Group Theory
  • Christine Gaal, Logarithms in High School and Beyond
  • Shannon Pesta, Modeling and Predicting Earthquakes with Markov Chains

Spring 2008

Fall 2008

  • Jeff Ackkerman, Quadratic Formula and Beyond! Solving Quadratic and Cubic Equations
  • Jesse Sylvia, Voting Theory: A Look at Arrow's Theorem

Spring 2007

Fall 2007

Spring 2006

  • Matt Broussard, Portfolio Management with the Lagrange Multiplier Technique
  • Mark Nishimura, Multi-Strain SIR Model Variations
  • Larry Coaly, Julia Sets Over the Quaternions
  • Julie Tukua, Solutions to Polynomial Equations: Their Role in High School and Beyond
  • Jason Baehne, Potential Orderings of Polyhedra

Spring 2005

Spring 2004

Fall 2004

  • Alejandra Cortez and Clara Rodriguez, Game Theory and Military Scenerios

Spring 2003

  • Sara Bretana, Databases for City Planning
  • Blaise Djeugoue, Graph Pebbling
  • Karl Fedje, Number Theoretical Graph Pebbling
  • Billy Harris, Techniques for Teaching Proofs in High School Geometry
  • Chris Hall, Twin Primes: A Survey
  • Jordon Long, Fractals
  • Amanda Wilson, Program Scheduling

Spring 2002

  • Chris Henderson, Scheduling a Scramble Golf Tournament
  • Rafeal Marino, Algebraic Coding Theory
  • Michael McDonald, Shooter's Advantage
  • David Wirkkala, Comparing Craps Table Odds

Spring 2001

Spring 2000

Spring 1999

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