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**Capstone presentations by ONU math/stat majors 1998 - Spring 2020**

**NOTE:** *Starting Fall 2020, the Mathematics and Statistics Department is replaced by two programs in the School of Science, Technology, and Mathematics: the Mathematics program, and the Statistics program. The records for **The Mathematics and Statistics Department cease here. From here on, our records will involve the Mathematics program only.*

- Kaleigh Cummins: The Birthday Problem - an Expanded Look [Rahrig] 2020
- John Mullin: What Makes a Successful Hire for A College Library [Wang] 2020
- Hannah Ray: Heel Spur Surgery: Evaluating the Outcomes [Wang] 2020
- Travis Maenle: A linear complexity analysis of quadratic residues and primitive roots spacings [Caragiu] 2020
- Bryan Peck: Bell's Inequalities [Caragiu] 2020
- Kenneth Eaton: The Fundamentals of Automated Theorem Proving [Caragiu] 2019
- Megan Meyer: An Experimental Approach to Sophie Germain Sequences [Caragiu] 2019
- Corey Thrush: Two Person Zero Sum Games [Robinson] 2019
- Kayla Rieman: Flipping Coins [Rahrig] 2019
- Bradley Lockhart: Force Propagation in Multi-Rod Drumsticks [Fuller] 2019
- Takumi Kijima: Naive Bayes Classifier [Wang] 2019
- Addison Carter: An Introduction to Partitions and Compositions [Caragiu] 2019
- Emma Talley: Multivariate Analysis of Variance [Wang] 2019
- Rachel Liebrecht: Special Topics on Graph Theory and Ramsey Numbers [Caragiu] 2019
- Grant McConnel: Problem Posing Using the Mathematical Game Qubic [Robinson] 2019
- Dylan Battison: SAS Base Programmer Certification [Rahrig] 2019
- Shannon Tefft: Processing Quadratic Residues with Ducci Iterations [Caragiu] 2019
- Andrew Kurdys: The Autoregressive Model and Real Life Time Series Applications [Rahrig] 2019
- Jenna Holler: American Mathematics Competitions – Variations and Generalizations [Caragiu] 2018
- Joseph Stomps: American Mathematics Competitions AMC 10 - analogies and generalizations [Caragiu] 2018
- Ian Simpson: Passive Scalar Transport of Contaminants via Traveling Waves [Fuller] 2018
- Andrew Tomkins: Statistical Analysis of Library Surveys Using SAS [Wang] 2018
- Gia Saturday: Myth Busting the Sophomore Slump [Wang] 2018
- Zachary Goodchild: Three Dichotomous Variables: There is more to it than you think [Robinson] 2018
- Lindsely Black: Player Efficiency Ratings for Basketball Players [Rahrig] 2018
- Jennifer Point: Brownian Motion & Its Application to Stock Evaluation [Rahrig] 2017
- Kyle Thomas: Performance Evaluation of Selected Normality Tests, a Simulation Study [Wang] 2017
- Jessica Lewe: Analysis of Fall Preventions Outreach Survey Using Nonparametric Statistical Methods" [Wang] 2017
- Meredith Eichenlaub: Variation of Probability: Baseball and the Binomial Distribution [Robinson] 2017
- Matthew Golden: The Baker-Campbell-Hausdorff Formula [Caragiu] 2017
- Michelle Haver: Poissonian Character and Chebyshev Bias for Greatest Prime Factor Sequences: a Computational Analysis [Caragiu] 2017
- Andrew Harden: The Capital Asset Pricing Model & Markowitz Problem" [Jaki] 2017
- David Zirkle: The Lognormal Distribution as a Model for Stock Prices [Rahrig] 2017
- Kaila Bollinger: Kruskal-Wallis versus Classical One-Way Analysis of Variance: Who's the Winner? [Rahrig] 2016
- Brandon Wilson: Black-Scholes Formula [Jaki] 2016
- Jeffrey Hancock: Optimal Strategy for an Obscure Game Show" [Robinson] 2016
- Nathan Knodel: Exact Solutions of Cubic-Quintic Duffing Oscillators [Fuller] 2016
- Abigail Thayer: Computer Solutions of the One Dimensional Diffusion Equation [Johns] 2015
- Brian Slabe: Contingent Payment Methods [Rahrig] 2015
- James Rader: Analysis of Points After Touchdown in the NFL [Putt] 2015
- Ashley Ernst: A Group Theoretic Development of Isospin and Low Isospin Multiplets [Fuller] 2015
- Benjamin McKinnis: The Square Wheel Problem [Hunt] 2014
- Brandon Guillen: A Look at Bayesian Statistics [Robinson] 2014
- Amanda Marco: Fibonacci Numbers and Some of Their Properties [Caragiu] 2014
- Kerry DuLaney: Exploring Gears and Watchmaking [Hunt] 2014
- Kate Klopp: Wheel of Fortune: From a Statistical Standpoint [Robinson] 2014
- Lacey Hittle: Progression on Regression: A Look at Multicollinearity [Rahrig] 2014
- Matthew R. Zirkle: Finding Square Roots in a Prime Field [Caragiu] 2013
- Thomas E. Steinberger: Arithmetic Functions of Several Variables on the Gaussian Integers [Jaki] 2013
- Jonathan C. Schroeder: Small Special Pairs of Primnitive Roots [Caragiu] 2013
- Devin F. Kisor: Eploration of the Regression to the Mean Phenomenon [Robinson] 2013
- Morgan Hammer: Applications of Direct Products to Molecular Spectroscopy [Putt] 2013
- Kelsie E. Zumberger: Did You Cheat In School This Year? [Robinson] 2013
- Donald J. Pleshinger: On a Congruence of Ohtsuka [Caragiu] 2013
- Matthew J. McCandless: Picturing Eigenfaces [Retterer] 2013
- Joanna Snyder: Analyzing the "Hot Hand" Effect [Rahrig] 2012
- David Mangus: "Let's Get Paradoxical: A Statistical Major's Quest to Solve Some Common Problems [Robinson] 2012
- Jennifer Krauss: In the World of a Taxicab Driver: an Exploration of Conic Sections in Taxicab Geometry [Putt] 2012
- 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] 2012
- Lauren Cassell: Guarding a Koch Fractal Art Gallery [Fuller] 2012
- Ashley Risch: An Euler-Fibonacci Sequence. [Caragiu] 2011
- Molly Eickholt: Simplifying Ford Links [Hunt] 2011
- Lauren Sutherland: Multidimensional Greatest Prime Factor Sequences [Caragiu] 2011
- Lucas Witt: Sometimes Two Wrongs Do Make a Right [Robinson] 2011
- Lindsey Miller Walch: Chordal Geometries and Their Axioms [Fuller] 2011
- Joshua Szekely: The Quantum Harmonic Oscillator and the Hermite Polynomials [Boyadzhiev] 2011
- Greg Back: The Greatest Prime Factor and its Applications [Caragiu] 2010
- Jenna Brace: Traffic Flow Simulation with Cellular Automata [Caragiu] 2010
- Andrew Caldwell: Misuses of Statistics [Robinson] 2010
- Kevin Earnest: Perturbations in the Aerospace Sequence of Attitude Determination Using Quaternions [Fuller] 2010
- John Holodnak: The Perron-Frobenius Theorem and Applications [Caragiu] 2010
- Kyle Meyer: Parity in Professional Sports [Robinson] 2010
- Matt Rader: Quantifying Defensive Ability in Baseball [Putt] 2010
- Sharon Binkley: The One Time Pad and Text Visualization [Caragiu] 2009
- Joshua Stoffel: Maxwell's Equations through the Major Vector Theorems [Boyadzhiev] 2009
- Joshua Somerlot: The Affine Cipher [Caragiu] 2009
- Brock Prater: Transmission and Reflection Holograms [Hovis] 2009
- Eric Gossett: Behavior of Particles in Circular Vertical Floe with Magnus Effect" [Fuller] 2009
- Axel Brandt: Classification of Ford Links [Hunt] 2009
- Andrew Magyar: The Einstein's Field Equations [Fuller] 2009
- Amanda Stype: Holy Voley! How Should We Allocate Those Traps? [Robinson] 2009
- Michael Gabrieli: The Exploration of Time Series and Forecasting [Robinson] 2009
- Michael Garee: Solitary Waves and KdV Theory [Fuller] 2008
- Steven Garofalo: Relational Model for Database Management [Retterer] 2008
- Brittany Metz: Latin Squares, Probability, and their involvement in the Sudoku [Robinson] 2008
- Heather Schimmoeller: B2 or not B2. That is the Question [Robinson] 2008
- Ashley Yontz: Mathematics and Stocks: Risk Analysis of a Portfolio [Putt] 2008
- Lorelei Rautsaw: The Geometry of Flowers [Raiti] 2008
- Christopher Lemon: Markov Chains and the Heat Bath Monte Carlo Algorithm for the Ising Model of Ferromagnetism [Johns] 2008
- Stacy Nagel: Symmetry and Quilting [Raiti] 2008
- Brian Henderson: A Probability Distribution Associated with the Minehunt Game [Hovis] 2008
- Katie Milligan: The Underlying Mathematical Patterns of Tessellations [Schroeder] 2008
- Gretchen Deeg: Projective Geometry and the Art of Perspective [Hovis] 2008
- Rachel Fye: An Analysis of Stock Portfolios: Random vs. Non-Random [Putt] 2007
- Tyler Dunlap: Ford Links [Hunt] 2007
- Andrew Homan: An Overview of Model Theory and Completeness [Caragiu] 2007
- Aaron Piper: Given two fractions, what is the fraction between the two that has the smallest denominator? [Robinson] 2007
- Greg Snyder: March Madness Probabilities [Robinson] 2007
- Mark Bierkan: To Deal or Not to Deal - is that the Question? [Robinson] 2007
- Matthew Shonkwiler: Conflict: A Game Theory Approach [Putt] 2007
- Megan Reese: The Golden Section and Design [Raiti] 2007
- Charise Kazmierczak: Geometry of Rose Windows [Raiti] 2007
- Katie Miklovic: The Truth Behind the Witch of Agnesi [Schroeder] 2007
- Anthony Gerdeman: A Venture Into the World of Obstructed Random Walks [Robinson] 2006
- Allison Mackay: Elementary Number Theory and Classical Cryptography [Caragiu] 2006
- Lisa Scheckelhoff: GPF Sequences [Caragiu] 2006
- Brandon Bucholtz: The Euclidean Algorithm [Caragiu] 2006
- Kara Stechschulte: Braids and Music [Fuller] 2006
- Michael Paulus: Predicting Winning Percentage: An Application of Mathematics to Sports [Putt] 2006
- Adam Hibbard: Predicting Movie Ratings [Robinson] 2006
- Dan Gudorf: Mary Had a Little Paradox: Whose fleece was and was not as white as snow... [Fuller] 2006
- Jason Bockey: Ford Circles [Hunt] 2006
- Jacob L. Johanssen: Fibonacci-Lucas Densities [Caragiu] 2006
- Kristine Patton: An investigation of Continued Fractions [Schroeder] 2006
- Kara S. Lewis: A look at Confounding [Robinson] 2005
- Matt Katschke: San Gaku Problems in Hyperbolic and Spherical Geometry [Hunt] 2005
- Nathan Baxter: Finite Fields [Caragiu] 2005
- Jennifer Szippl: Platonic solids [Raiti] 2004
- Julie Holda: Monte Carlo simulations [Robinson] 2004
- Tyler Betts: Applications of Group Theory in Chemistry [Putt] 2004
- Clinton Louiso: Tic-Tac-Toe: an in-depth analysis [Robinson] 2004
- Molly Neer: Mathematics and Arts at Ohio Northern University [Fuller] 2004
- Mark Clausing: Advanced Compass and Straightedge Constructions [Hunt] 2004
- Michael Hewit: The Ehrenfest Model, Analysis via Markov Chains and Recurrent Events [Johns] 2004
- Sara Miller: Fibonacci Numbers [Caragiu] 2003
- Julia Gould: Fear of Crime, An Investigative Analysis [Putt] 2003
- Matthew Suchan: Is Hitter Performance Affected by Free Agency? [Putt] 2003
- Ann Boerger: The Value of a Bond [Putt] 2002
- Reid Moore: Analysis of Interest and Basic Annuities [Putt] 2002
- Stacey Stillion: Covariates of Pancreas Transplant Survival in Recipients of Combined Kidney-Pancreas Grafts [Putt] 2002
- Laura DiMarco: Classification of Compact, Connected Topological Surfaces Without Boundary [Raiti] 2001
- Kimberly Myers: Bond Valuation [Putt] 2001
- Stephanie Osgood: Statistics Reveal the True "Best Hitters" in Baseball [Putt] 2001
- Ivan Tornes: The Circular Vibrating Membrane [Boyadzhiev] 2001
- Jason Kline: The Fourier Series and Some Applications [Boyadzhiev] 2000
- Rachel Kahlenberg: Confidence Intervals for One Pupulation Mean [Song] 2000
- Ryan Snivley: Analysis of Categorical Data [Song] 2000
- Sarah Ruppert: Rubik's Cube [Retterer] 2000
- Lindsay Nicholson: Fourier Series [Lhamon] 2000
- Tim Thompson: Solutions to the Shortest Path Problem [Putt] 1999
- Nathan Hyatt: Hypothesis Testing [Song] 1999
- William Anthony: Recurrent Events [Hovis] 1999
- Justin Reckner: Differential Geometry of Curves in 3-Space [Raiti] 1999
- Bodi Kauffman: The Stieltjes Integral [Boyadzhiev] 1999
- Chris Finney: The Mathematics of Annuity Valuation [Putt] 1999
- James Conine: Fuzzy Sets [Hovis] 1998
- Lee Koratich: Functions of Matrices [Boyadzhiev] 1998
- Jason McCartney: Game Theory [Shult] 1998
- Amanda Pater: Regression Analysis [Song] 1998
- Michelle Schlauch: Random Walks [Roepke] 1998

**ADVISING 5 OR MORE CAPSTONE PROJECTS (1998 - Spring 2020)**:

- Caragiu 29
- Robinson 25
- Putt 18
- Fuller 13
- Rahrig 12
- Hunt 8
- Wang 8
- Raiti 7
- Boyadzhiev 6
- Hovis 5