Senior Capstone Projects
Graduating seniors majoring in Mathematics are required to complete the Capstone course during the spring semester. As part of this course, each student proposes and carries out an individual research project. 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.
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
- Juan Ortiz, The Rank Numberof Prism Graphs
- Graydon Pearson, Cracking the Code
- Marc Morris-Rivera, Deal or No Deal: Making Smart Choices Toward Fortune
- Terri Kimmel, Square Patterns in Rayleigh-Bénard Convection
- Joseph Rower, When Does a Product of Group Elements Equal Its Reverse?
- Greg Walker, Shut the Box
- Jessica Newville, Voting Theory
- Eric Wright, A Quantum Mechanical View of the Navier-Stokes Equations
Spring 2007
- Megan Donohue, What are the real numbers and how do we teach them in the middle/high schools?
- Brian Stanley, The Fibonacci Golf Ball
- Autumn Malloy, Teaching Logarithms
- Prudence Kjontvedt, Schwarzschild Geometry
- Meghan Pulte, Permutation Statistics on Generalized Derangements and Desarrangements
Fall 2007
- Marissa Predmore, Meta-Problems in Mathematics
- Danielle Alberti, Magic Squares
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
- David Barra, Mathematics Behind Patience Sorting
- Cheryl Clough, History and Role of Proofs in Secondary Mathematics Education: a Pedagogical Perspective, (website)
- Kristen Dronen, Course Scheduling via Network Flows
- Lucas Lembrick, Human Knot
- Marlene Merchain, Is God Rational?
- Katie Pabst
- David Parker, Blackjack: A Beatable Game
- Ryan Petitfils, On the Symmetries of Pascal's Pyramid (website)
Spring 2004
- Jason Counihan, Graph Pegging
- Tim Harding, Applying the Hungarian Algorithm to NFL Scheduling
- Andrea Katz, Voting Blocs in Academic Divisions of CLU: A Mathematical Explanation of Faculty Power
- Ryan Palmer, Mathematical Modeling: Stress Relaxation of Viscoelastic Materials (part 1, part 2)
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
- Jennifer Bienstock, What Energy Bar is Best to Fit Your Daily Calorie Needs?
- Rachael Carver, Earthquakes in California
- Jermaine Dixon, Traffic Scenarios
- Nicole Imhof, Soccer Penalty Kicks: Are They Unfair to Goalkeepers?
- Nathan Miller, Batter Up: A Computer Simulated Look at Baseball
- Ann Monville, The Perfect Toss: How to Survive the MCM
- Dave Shafer, Voting Schemes
- Ron Scofano, Pin Action!
Spring 2000
- Sean Flaherty, Building a Zoom Lens: Matrix Methods in Optics
- Matt Hunwardwsen, Computational Fluid Dynamics
- James Tarver, Title IX and Cal Lutheran Athletics
Spring 1999
- Susan Bloomgren, When to Say When
- Nica Calderon, How to Get a Hit
- Gabe Chandler, Salaries of Starting Professional Baseball Pitchers
- Sarah Dyck, Buying a Home as a College Graduate
- Joshua McGee, Computers, Data, and the Future
- Ramon Orozco, Traffic Control
- Maggy Tomova, The Citric Acid Cycle
- Victoria Walker, The Tobacco Industry vs. the Health Industry
