## You are here

# Capstone Projects

## Recent Capstone Presentations by ONU Math/Stat Majors

(*under construction*)

**2015**

**111. Abigail Thayer:** Computer Solutions of the One Dimensional Diffusion Equation [Johns]

**110. Brian Slabe:** Contingent Payment Methods [Rahrig]

**109. James Rader:** Analysis of Points After Touchdown in the NFL [Putt]

**108. Ashley Ernst:** A Group Theoretic Development of Isospin and Low Isospin Multiplets [Fuller]

**2014**

**107. Benjamin McKinnis:** The Square Wheel Problem [Hunt]

**106. Brandon Guillen:** A Look at Bayesian Statistics [Robinson]

**105. Amanda Marco:** Fibonacci Numbers and Some of Their Properties [Caragiu]

**104. Kerry DuLaney:** Exploring Gears and Watchmaking [Hunt]

**103. Lacey Hittle:** Progression on Regression: A Look at Multicollinearity [Rahrig]

**2013**

**102. Matthew R. Zirkle:** Finding Square Roots in a Prime Field [Caragiu]

**101. Thomas E. Steinberger: **Arithmetic Functions of Several Variables on the Gaussian Integers [Zaki]

**100. Jonathan C. Schroeder:** Small Special Pairs of Primnitive Roots [Caragiu]

**99. Devin F. Kisor:** Eploration of the Regression to the Mean Phenomenon [Robinson]

**98. Morgan Hammer:** Applications of Direct Products to Molecular Spectroscopy [Putt]

**97. Kelsie E. Zumberger:** Did You Cheat In School This Year? [Robinson]

**96. Donald J. Pleshinger:** On a Congruence of Ohtsuka [Caragiu]

**95. Matthew J. McCandless: **Picturing Eigenfaces [Retterer]

**2012**

**2012**

**94. Joanna Snyder:** Analyzing the "Hot Hand" Effect [Rahrig]

**93. Jennifer Krauss:** In the World of a Taxicab Driver: an Exploration of Conic Sections in Taxicab Geometry [Putt]

**92. Hannah (DePriest) Barnaba:** How Much Does One Point Matter: A Study on the Probability of Winning a Tennis Match and the Generalized Case of Winning by *n* [Rahrig]

**91. Lauren Cassell:** Guarding a Koch Fractal Art Gallery [Fuller]

**2011**

**2011**

**90. Ashley Risch:** An Euler-Fibonacci Sequence. [Caragiu]

**89. Molly Eickholt:** Simplifying Ford Links [Hunt]

**88. Lauren Sutherland:** Multidimensional Greatest Prime Factor Sequences [Caragiu]

**87. Lucas Witt:** Sometimes Two Wrongs Do Make a Right [Robinson]

**86. Lindsey Miller Walch:** Chordal Geometries and Their Axioms [Fuller]

**85. Joshua Szekely:** The Quantum Harmonic Oscillator and the Hermite Polynomials [Boyadzhiev]

**2010**

**2010**

**84. Greg Back:** The Greatest Prime Factor and its Applications [Caragiu]

**83. Jenna Brace:** Traffic Flow Simulation with Cellular Automata [Caragiu]

**82. Josh Caldwell:** Misuses of Statistics [Robinson]

**81. Kevin Earnest:** Perturbations in the Aerospace Sequence of Attitude Determination Using Quaternions [Fuller]

**80. John Holodnak:** The Perron-Frobenius Theorem and Applications [Caragiu]

**79. Kyle Meyer:** Parity in Professional Sports [Robinson]

**78. Matt Rader:** Quantifying Defensive Ability in Baseball [Putt]

**2009**

**2009**

** **

**77. Sharon Binkley:** The One Time Pad and Text Visualization [Caragiu]

**76. Joshua Stoffel:** Maxwell's Equations through the Major Vector Theorems [Boyadzhiev]

**75. Joshua Somerlot:** The Affine Cipher [Caragiu]

**75. Brock Prater:** Transmission and Reflection Holograms [Hovis]

**73. Eric Gossett:** Behavior of Particles in Circular Vertical Floe with Magnus Effect" [Fuller]

**72. Axel Brandt:** Classification of Ford Links [Hunt]

**71. Andrew Magyar:** The Einstein's Field Equations [Fuller]

**70. Amanda Stype:** Holy Voley! How Should We Allocate Those Traps? [Robinson]

**69. Michael Gabrieli:** The Exploration of Time Series and Forecasting [Robinson]

**2008**

**2008**

**68. Michael Garee:** Solitary Waves and KdV Theory [Fuller]

**67. Steven Garofalo: **Relational Model for Database Management [Retterer]

**66. Brittany Metz: **Latin Squares, Probability, and their involvement in the Sudoku [Robinson]

**65. Heather Schimmoeller:** B2 or not B2. That is the Question [Robinson]

**64. Ashley Yontz:** Mathematics and Stocks: Risk Analysis of a Portfolio [Putt]

**63. Lorelei Rautsaw:** The Geometry of Flowers [Raiti]

**62. Christopher Lemon:** Markov Chains and the Heat Bath Monte Carlo Algorithm for the Ising Model of Ferromagnetism [Johns]

**61. Stacy Nagel:** Symmetry and Quilting [Raiti]

**60. Brian Henderson:** A Probability Distribution Associated with the Minehunt Game [Hovis]

**59. Katie Milligan: **The Underlying Mathematical Patterns of Tessellations [Schroeder]

**58. Gretchen Deeg:** Projective Geometry and the Art of Perspective [Hovis]

**2007**

**2007**

**57. Rachel Fye:** An Analysis of Stock Portfolios: Random vs. Non-Random [Putt]

**56. Tyler Dunlap: **Ford Links [Hunt]

**55. Andrew Homan: **An Overview of Model Theory and Completeness[Caragiu]

**54. Aaron Piper:** Given two fractions, what is the fraction between the two that has the smallest denominator? [Robinson]

**53. Greg Snyder:** March Madness Probabilities [Robinson]

**52. Mark Bierkan:** To Deal or Not to Deal - is that the Question? [Robinson]

**51. Matthew Shonkwiler: **Conflict: A Game Theory Approach [Putt]

**50. Megan Reese:** The Golden Section and Design [Raiti]

**49. Charise Kazmierczak:** Geometry of Rose Windows [Raiti]

**48. Katie Miklovic:** The Truth Behind the Witch of Agnesi [Schroeder]

**2006**

**2006**

**47. Anthony Gerdeman: **A Venture Into the World of Obstructed Random Walks [Robinson]

**46. Allison Mackay:** Elementary Number Theory and Classical Cryptography [Caragiu]

**45. Lisa Scheckelhoff:** GPF Sequences [Caragiu]

**44. Brandon Bucholtz:** The Euclidean Algorithm [Caragiu]

**43. Kara Stechschulte:** Braids and Music [Fuller]

**42. Michael Paulus:** Predicting Winning Percentage: An Application of Mathematics to Sports [Putt]

**41. Adam Hibbard:** Predicting Movie Ratings [Robinson]

**40. Dan Gudorf:** Mary Had a Little Paradox: Whose fleece was and was not as white as snow... [Fuller]

**39. Jason Bockey:** Ford Circles [Hunt]

**38. Jacob L. Johanssen:** Fibonacci-Lucas Densities [Caragiu]

**37. Kristine Patton:** An investigation of Continued Fractions [Schroeder]

**2005**

**2005**

**36. Kara S. Lewis: **A look at Confounding [Robinson]

**35. Matt Katschke: **San Gaku Problems in Hyperbolic and Spherical Geometry [Hunt]

**34. Nathan Baxter:** Finite Fields [Caragiu]

**2004**

**2004**

**33. Jennifer Szippl:** Platonic solids [Raiti]

**32. Julie Holda:** Monte Carlo simulations [Robinson]

**31. Tyler Betts:** Applications of Group Theory in Chemistry [Putt]

**30. Clinton Louiso:** Tic-Tac-Toe: an in-depth analysis [Robinson]

**29. Molly Neer:** Mathematics and Arts at Ohio Northern University [Fuller]

**28. Mark Clausing:** Advanced Compass and Straightedge Constructions [Hunt]

**27. Michael Hewit:** The Ehrenfest Model, Analysis via Markov Chains and Recurrent Events [Johns]

**2003**

**2003**

**26. Sara Miller:** Fibonacci Numbers [Caragiu]

**25. Julia Gould:** Fear of Crime, An Investigative Analysis [Putt]

**24. Matthew Suchan:** Is Hitter Performance Affected by Free Agency? [Putt]

**2002**

**2002**

**23. Ann Boerger:** The Value of a Bond [Putt]

**22. Reid Moore:** Analysis of Interest and Basic Annuities [Putt]

**21. Stacey Stillion:** Covariates of Pancreas Transplant Survival in Recipients of Combined Kidney-Pancreas Grafts [Putt]

**2001**

**2001**

**20. Laura DiMarco:** Classification of Compact, Connected Topological Surfaces Without Boundary [Raiti]

**19. Kimberly Myers:** Bond Valuation [Putt]

**18. Stephanie Osgood:** Statistics Reveal the True "Best Hitters" in Baseball [Putt]

**17. Ivan Tornes:** The Circular Vibrating Membrane [Boyadzhiev]

**2000**

**2000**

**16. Jason Kline:** The Fourier Series and Some Applications [Boyadzhiev]

**15. Rachel Kahlenberg:** Confidence Intervals for One Pupulation Mean [Song]

**14. Ryan Snivley:** Analysis of Categorical Data [Song]

**13. Sarah Ruppert:** Rubik's Cube [Retterer]

**12. Lindsay Nicholson:** Fourier Series [Lahmon]

**1999**

**1999**

**11.Tim Thompson:** Solutions to the Shortest Path Problem [Putt]

**10. Nathan Hyatt:** Hypothesis Testing [Song]

**9. William Anthony:** Recurrent Events [Hovis]

**8. Justin Reckner:** Differential Geometry of Curves in 3-Space [Raiti]

**7. Bodi Kauffman: **The Stieltjes Integral [Boyadzhiev]

**6. Chris Finney: **The Mathematics of Annuity Valuation [Putt]

**1998**

**1998**

**5. James Conine: **Fuzzy Sets [Hovis]

**4. Lee Koratich:** Functions of Matrices [Boyadzhiev]

**3. Jason McCartney:** Game Theory [Shult]

**2. Amanda Pater:** Regression Analysis [Song]

**1. Michelle Schlauch:** Random Walks [Roepke]