Senior Capstone presentations - May 10, 2023

Session of Senior Capstone presentations today at ONU, featuring topics on Partial Differential Equations and Number Theory. It was definitely a success, with a lively attendance. Many thanks to these awesome students!

Undergraduate research - a post pandemic restart

My first post-pandemic faculty-student paper and the 14-th overall (written with Rachael Harbaugh, ONU '23, a talented Mathematics Education major). Glad for this "restart". Students need confidence, need to be exposed to interesting math topics, and then we hope for the best in their future timelines.

 

Senior Capstone Colloquium - Fall 2022

Mathematics Capstone Colloquium - December 7, 2022 @ohionorthern (from L to R: Dr. Chowdhury, Joelena Brown, Rachael Harbaugh, and Dr. Caragiu)

Joelena Brown: "Rectangular Donut Numbers" (advisor Dr. Chowdhury)

Rachael Harbaugh: "Extending a Putnam Problem to Fields of Various Characteristics" (advisor Dr. Caragiu)

 

Senior Capstone Presentations in Math/Stat at Ohio Northern UPDATE

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.

1. Kaleigh Cummins: The Birthday Problem - an Expanded Look [Rahrig] 2020
2. John Mullin: What Makes a Successful Hire for A College Library [Wang] 2020
3. Hannah Ray: Heel Spur Surgery: Evaluating the Outcomes [Wang] 2020
4. Travis Maenle: A linear complexity analysis of quadratic residues and primitive roots spacings [Caragiu] 2020
5. Bryan Peck: Bell's Inequalities [Caragiu] 2020
6. Kenneth Eaton: The Fundamentals of Automated Theorem Proving [Caragiu] 2019
7. Megan Meyer: An Experimental Approach to Sophie Germain Sequences [Caragiu] 2019
8. Corey Thrush: Two Person Zero Sum Games [Robinson] 2019
9. Kayla Rieman:  Flipping Coins [Rahrig] 2019
10. Bradley Lockhart: Force Propagation in Multi-Rod Drumsticks [Fuller] 2019
11. Takumi Kijima: Naive Bayes Classifier [Wang] 2019
12. Addison Carter: An Introduction to Partitions and Compositions [Caragiu] 2019
13. Emma Talley: Multivariate Analysis of Variance [Wang] 2019
14. Rachel Liebrecht: Special Topics on Graph Theory and Ramsey Numbers [Caragiu] 2019
15. Grant McConnel: Problem Posing Using the Mathematical Game Qubic [Robinson] 2019
16. Dylan Battison: SAS Base Programmer Certification [Rahrig] 2019
17. Shannon Tefft: Processing Quadratic Residues with Ducci Iterations [Caragiu] 2019
18. Andrew Kurdys: The Autoregressive Model and Real Life Time Series Applications [Rahrig] 2019
19. Jenna Holler: American Mathematics Competitions – Variations and Generalizations [Caragiu] 2018
20. Joseph Stomps: American Mathematics Competitions AMC 10 - analogies and generalizations [Caragiu] 2018
21. Ian Simpson: Passive Scalar Transport of Contaminants via Traveling Waves [Fuller] 2018
22. Andrew Tomkins: Statistical Analysis of Library Surveys Using SAS [Wang] 2018
23. Gia Saturday: Myth Busting the Sophomore Slump [Wang] 2018
24. Zachary Goodchild: Three Dichotomous Variables: There is more to it than you think [Robinson] 2018
25. Lindsely Black: Player Efficiency Ratings for Basketball Players [Rahrig] 2018
26. Jennifer Point: Brownian Motion & Its Application to Stock Evaluation [Rahrig] 2017
27. Kyle Thomas: Performance Evaluation of Selected Normality Tests, a Simulation Study [Wang] 2017
28. Jessica Lewe: Analysis of Fall Preventions Outreach Survey Using Nonparametric Statistical Methods" [Wang] 2017
29. Meredith Eichenlaub: Variation of Probability: Baseball and the Binomial Distribution [Robinson] 2017
30. Matthew Golden: The Baker-Campbell-Hausdorff Formula [Caragiu] 2017
31. Michelle Haver: Poissonian Character and Chebyshev Bias for Greatest Prime Factor Sequences: a Computational Analysis [Caragiu] 2017
32. Andrew Harden: The Capital Asset Pricing Model & Markowitz Problem" [Jaki] 2017
33. David Zirkle: The Lognormal Distribution as a Model for Stock Prices [Rahrig] 2017
34. Kaila Bollinger: Kruskal-Wallis versus Classical One-Way Analysis of Variance: Who's the Winner? [Rahrig] 2016
35. Brandon Wilson: Black-Scholes Formula [Jaki] 2016
36. Jeffrey Hancock:  Optimal Strategy for an Obscure Game Show" [Robinson] 2016
37. Nathan Knodel: Exact Solutions of Cubic-Quintic Duffing Oscillators [Fuller] 2016
38. Abigail Thayer: Computer Solutions of the One Dimensional Diffusion Equation [Johns] 2015
39. Brian Slabe: Contingent Payment Methods [Rahrig] 2015
40. James Rader: Analysis of Points After Touchdown in the NFL [Putt] 2015
41. Ashley Ernst: A Group Theoretic Development of Isospin and Low Isospin Multiplets [Fuller] 2015
42. Benjamin McKinnis: The Square Wheel Problem [Hunt] 2014
43. Brandon Guillen: A Look at Bayesian Statistics [Robinson] 2014
44. Amanda Marco: Fibonacci Numbers and Some of Their Properties [Caragiu] 2014
45. Kerry DuLaney: Exploring Gears and Watchmaking [Hunt] 2014
46. Kate Klopp: Wheel of Fortune: From a Statistical Standpoint [Robinson] 2014
47. Lacey Hittle: Progression on Regression: A Look at Multicollinearity [Rahrig] 2014
48. Matthew R. Zirkle: Finding Square Roots in a Prime Field [Caragiu] 2013
49. Thomas E. Steinberger: Arithmetic Functions of Several Variables on the Gaussian Integers  [Jaki] 2013
50. Jonathan C. Schroeder: Small Special Pairs of Primnitive Roots [Caragiu] 2013
51. Devin F. Kisor: Eploration of the Regression to the Mean Phenomenon [Robinson] 2013
52. Morgan Hammer: Applications of Direct Products to Molecular Spectroscopy [Putt] 2013
53. Kelsie E. Zumberger: Did You Cheat In School This Year? [Robinson] 2013
54. Donald J. Pleshinger: On a Congruence of Ohtsuka [Caragiu] 2013
55. Matthew J. McCandless: Picturing Eigenfaces [Retterer] 2013
56. Joanna Snyder: Analyzing the "Hot Hand" Effect [Rahrig] 2012
57. David Mangus: "Let's Get Paradoxical: A Statistical Major's Quest to Solve Some Common Problems [Robinson] 2012
58. Jennifer Krauss: In the World of a Taxicab Driver: an Exploration of Conic Sections in Taxicab Geometry [Putt] 2012
59. 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
60. Lauren Cassell: Guarding a Koch Fractal Art Gallery [Fuller] 2012
61. Ashley Risch: An Euler-Fibonacci Sequence. [Caragiu] 2011
62. Molly Eickholt: Simplifying Ford Links [Hunt] 2011
63. Lauren Sutherland: Multidimensional Greatest Prime Factor Sequences [Caragiu] 2011
64. Lucas Witt: Sometimes Two Wrongs Do Make a Right [Robinson] 2011
65. Lindsey Miller Walch: Chordal Geometries and Their Axioms [Fuller] 2011
66. Joshua Szekely: The Quantum Harmonic Oscillator and the Hermite Polynomials [Boyadzhiev] 2011
67. Greg Back: The Greatest Prime Factor and its Applications [Caragiu] 2010
68. Jenna Brace: Traffic Flow Simulation with Cellular Automata [Caragiu] 2010
69. Andrew Caldwell: Misuses of Statistics [Robinson] 2010
70. Kevin Earnest: Perturbations in the Aerospace Sequence of Attitude Determination Using Quaternions [Fuller] 2010
71. John Holodnak: The Perron-Frobenius Theorem and Applications [Caragiu] 2010
72. Kyle Meyer: Parity in Professional Sports [Robinson] 2010
73. Matt Rader: Quantifying Defensive Ability in Baseball [Putt] 2010
74. Sharon Binkley: The One Time Pad and Text Visualization [Caragiu] 2009
75. Joshua Stoffel: Maxwell's Equations through the Major Vector Theorems [Boyadzhiev] 2009
76. Joshua Somerlot: The Affine Cipher [Caragiu] 2009
77. Brock Prater: Transmission and Reflection Holograms [Hovis] 2009
78. Eric Gossett: Behavior of Particles in Circular Vertical Floe with Magnus Effect" [Fuller] 2009
79. Axel Brandt: Classification of Ford Links [Hunt] 2009
80. Andrew Magyar: The Einstein's Field Equations [Fuller] 2009
81. Amanda Stype: Holy Voley! How Should We Allocate Those Traps? [Robinson] 2009
82. Michael Gabrieli: The Exploration of Time Series and Forecasting [Robinson] 2009
83. Michael Garee: Solitary Waves and KdV Theory [Fuller] 2008
84. Steven Garofalo: Relational Model for Database Management [Retterer] 2008
85. Brittany Metz: Latin Squares, Probability, and their involvement in the Sudoku [Robinson] 2008
86. Heather Schimmoeller: B2 or not B2. That is the Question [Robinson] 2008
87. Ashley Yontz: Mathematics and Stocks: Risk Analysis of a Portfolio [Putt] 2008
88. Lorelei Rautsaw: The Geometry of Flowers [Raiti] 2008
89. Christopher Lemon: Markov Chains and the Heat Bath Monte Carlo Algorithm for the Ising Model of Ferromagnetism [Johns] 2008
90. Stacy Nagel: Symmetry and Quilting [Raiti] 2008
91. Brian Henderson: A Probability Distribution Associated with the Minehunt Game [Hovis] 2008
92. Katie Milligan: The Underlying Mathematical Patterns of Tessellations [Schroeder] 2008
93. Gretchen Deeg: Projective Geometry and the Art of Perspective [Hovis] 2008
94. Rachel Fye: An Analysis of Stock Portfolios: Random vs. Non-Random [Putt] 2007
95. Tyler Dunlap: Ford Links [Hunt] 2007
96. Andrew Homan: An Overview of Model Theory and Completeness [Caragiu] 2007
97. Aaron Piper: Given two fractions, what is the fraction between the two that has the smallest denominator? [Robinson] 2007
98. Greg Snyder: March Madness Probabilities [Robinson] 2007
99. Mark Bierkan: To Deal or Not to Deal - is that the Question? [Robinson] 2007
100. Matthew Shonkwiler: Conflict: A Game Theory Approach [Putt] 2007
101. Megan Reese: The Golden Section and Design [Raiti] 2007
102. Charise Kazmierczak: Geometry of Rose Windows [Raiti] 2007
103. Katie Miklovic: The Truth Behind the Witch of Agnesi [Schroeder] 2007
104. Anthony Gerdeman: A Venture Into the World of Obstructed Random Walks [Robinson] 2006
105. Allison Mackay: Elementary Number Theory and Classical Cryptography [Caragiu] 2006
106. Lisa Scheckelhoff: GPF Sequences  [Caragiu] 2006
107. Brandon Bucholtz: The Euclidean Algorithm [Caragiu] 2006
108. Kara Stechschulte: Braids and Music [Fuller] 2006
109. Michael Paulus: Predicting Winning Percentage: An Application of Mathematics to Sports [Putt] 2006
110. Adam Hibbard: Predicting Movie Ratings [Robinson] 2006
111. Dan Gudorf: Mary Had a Little Paradox: Whose fleece was and was not as white as snow... [Fuller] 2006
112. Jason Bockey: Ford Circles [Hunt] 2006
113. Jacob L. Johanssen: Fibonacci-Lucas Densities [Caragiu] 2006
114. Kristine Patton: An investigation of Continued Fractions [Schroeder] 2006
115. Kara S. Lewis: A look at Confounding [Robinson] 2005
116. Matt Katschke: San Gaku Problems in Hyperbolic and Spherical Geometry [Hunt] 2005
117. Nathan Baxter: Finite Fields [Caragiu] 2005
118. Jennifer Szippl: Platonic solids [Raiti] 2004
119. Julie Holda: Monte Carlo simulations [Robinson] 2004
120. Tyler Betts: Applications of Group Theory in Chemistry [Putt] 2004
121. Clinton Louiso: Tic-Tac-Toe: an in-depth analysis [Robinson] 2004
122. Molly Neer: Mathematics and Arts at Ohio Northern University [Fuller] 2004
123. Mark Clausing: Advanced Compass and Straightedge Constructions [Hunt] 2004
124. Michael Hewit: The Ehrenfest Model, Analysis via Markov Chains and Recurrent Events [Johns] 2004
125. Sara Miller: Fibonacci Numbers [Caragiu] 2003
126. Julia Gould: Fear of Crime, An Investigative Analysis [Putt] 2003
127. Matthew Suchan: Is Hitter Performance Affected by Free Agency? [Putt] 2003
128. Ann Boerger: The Value of a Bond [Putt] 2002
129. Reid Moore: Analysis of Interest and Basic Annuities [Putt] 2002
130. Stacey Stillion: Covariates of Pancreas Transplant Survival in Recipients of Combined Kidney-Pancreas Grafts [Putt] 2002
131. Laura DiMarco: Classification of Compact, Connected Topological Surfaces Without Boundary [Raiti] 2001
132. Kimberly Myers: Bond Valuation [Putt] 2001
133. Stephanie Osgood: Statistics Reveal the True "Best Hitters" in Baseball [Putt] 2001
134. Ivan Tornes: The Circular Vibrating Membrane [Boyadzhiev] 2001
135. Jason Kline: The Fourier Series and Some Applications [Boyadzhiev] 2000
136. Rachel Kahlenberg: Confidence Intervals for One Pupulation Mean [Song] 2000
137. Ryan Snivley: Analysis of Categorical Data [Song] 2000
138. Sarah Ruppert: Rubik's Cube [Retterer] 2000
139. Lindsay Nicholson: Fourier Series [Lhamon] 2000
140. Tim Thompson: Solutions to the Shortest Path Problem [Putt] 1999
141. Nathan Hyatt: Hypothesis Testing [Song] 1999
142. William Anthony: Recurrent Events [Hovis] 1999
143. Justin Reckner: Differential Geometry of Curves in 3-Space [Raiti] 1999
144. Bodi Kauffman: The Stieltjes Integral [Boyadzhiev] 1999
145. Chris Finney: The Mathematics of Annuity Valuation [Putt] 1999
146. James Conine: Fuzzy Sets [Hovis] 1998
147. Lee Koratich: Functions of Matrices [Boyadzhiev] 1998
148. Jason McCartney: Game Theory [Shult] 1998
149. Amanda Pater: Regression Analysis [Song] 1998
150. Michelle Schlauch: Random Walks [Roepke] 1998