Student Research

The mathematics department encourages talented students to pursue research with one of our faculty members. Many of our faculty have available research options, if you’re a student in mathematics, let us know if you’re interested in mathematical research. Below is an archive of previous student research.

Year	Student	Mentor	Description
2021	Sarah Thiele	Jeff Beyerl	The Great Mask Debate
2021	Nicholas J. Vota	Jeff Beyerl	Improper Interval Graphs and the Classification of Multiplicity
2020	Azaryah Wilson	Long Le	PDE Methods for Population Movement in an Epidemic.
2020	Alma Malibekova	Long Le	??
2020	Diana Morales	Long Le	??
2019	Demitrius Moore	??	Divergent thinking or Problem Posing
2019	Alex Jumper	??	Symmetry analysis of a fourth order nonlinear partial differential equation
2019	Scarlett Nestlehut	??	Impact of historical mathematical problems on student metaperspectives of mathematics
2019	Wesley Martsching	??	Identifying potential relationships between fixation patterns and -in-the-moment ways of reasoning
2019	Jason Yingling	??	Multiple imputation for missing data via gradient boosted trees
2019	Stefano Battisto	Fred Hickling	Fair Tax Schemes
2018	Madison Martin	Danny Arrigo	Darboux Transformations for a system of Parabolic PDEs
2018	Thomas Banh	Weijiu Liu	Modeling negative feedback production of insulin
2018	Monica Davanzo	Yinlin Dong	Solving Differential Equations Using Buffered Fourier Spectral Method
2018	Jonathan Zluticky	James Fetterly	Problem Posing Project: A Serious Fibonacci Fiasco.
2018	Demitrius Moore	James Fetterly	Divergent Thinking or Problem Posing: Creativity at its Best
2017	Madison Martin	Danny Arrigo	Modeling Step Polymerization
2017	Jonathan Zluticky	Jeffrey Beyerl	Efficiency of Common classes of Graphs
2016-2017	Kayla Waters	Jason Martin	Investigating student sense making of calculus instructional videos
2016-2017	Katie Burden	Jason Martin	Case studies of virtual manipulatives and static derivative images
2016-2017	John Harrelson	R.B. Lenin	Optimal Funding Strategies Using Social Network Analysis Techniques
2016-2017	Edward Tawiah	R.B. Lenin	Factors Contributing To The Success Of Small Businesses Using Structural Equation Modeling - A Statistical Framework
2016-2017	Andrew Jensen	R.B. Lenin	Comparing Efficiency of Roundabouts to Traffic Lights in Conway, Arkansas – A probabilistic and Simulation Approach
2016	Thomas Banh	Weijiu Liu	A linear disturbance rejection model for the blood glucose regulation system
2016	Azaryah Wilson	Long Le	A Numerical Study for An Epidemic Model with Diffusion
2016	Alma Malibekova and Diana Morales	Long Le	Mathematical Modeling of An Epidemic with Exposed Group and Diffusion
2016	Cameron Sharpe	Jeffrey Beyerl	Counting Graph Homomorphisms Involving Complete Graphs
2016	Andrea Weaver	Danny Arrigo	First Integrals and Linearization of Elliptic Monge-Ampere Equations
2016	Christina Junkans	R.B. Lenin	Optimization Techniques with Applications in Medicine
2015-2016	Brandon Ashley	Weijiu Liu	Asymptotic Tracking and Disturbance Rejection of the Blood Glucose Regulation System Presented at SEARCDE 2015 in Greensboro, NC.
2015	James Palmer	R.B. Lenin	HypoTest: An R package for Hypothesis Tests
2015	Christopher New	Jeffrey Beyerl	Zeroes of the Ranken-Cohen Bracket operator
2015	Erika Sparkman	Clarence Burg	Smoothed particle hydrodynamics simulations under gravitational influence
2015	N'Golo Ouattara	Clarence Burg	Investigation of the use of the Euclidean algorithm to factor polynomials
2015	Robert Habimana	Clarence Burg	Age-Based Human Population Modeling - graduate research topic
2015	Olivia Weeks	Clarence Burg	Investigation of relationships within recruitment and hiring data at a national data analysis firm - undergraduate research topic
2015	Garrett Frandson	Jeffrey Beyerl	Perfect Numbers and Divisibility
2015	Jamie Mullins	Linda Griffith	Thirsty Values - Great Modeling Task in 3 Acts for Elementary: Meeting the Model with Mathematics Practice The created lessons available from the NCSM website.
2014, 2015	Kaiyi Chen	R.B. Lenin	The Time Variation Paths of Factors Effecting Bank Stock Returns
2014, 2015	Jaime Garcia	R.B. Lenin	Measuring the Impact of Research Funds in Collaborative Work Using Social Network Analysis – A Case Study
2014, 2015	Camille Dollins	R.B. Lenin	An Evaluation of Breast Radiological Density Assessment by Quantra Software as Compared to Visual Classification Joint paper in Proceedings of SpringSIM 2015
2014, 2015	Wayne Wallace	Jeffrey Beyerl	Improper Interval Graphs Presented at UCA and CTGC 45
2014	Vinh Lu	Clarence Burg	An Investigation of Smoothed Particle Hydrodynamics Applied Math Thesis
2014	Hayford Tsikata	R.B. Lenin	Application of Hilbert Phase Slip in Hilbert-Huang Transform
2014	Matthew Tubbs	Clarence Burg	Average Galerkin Approach to Higher Order Partial Differential Equations Applied Math Thesis
2014	David Addison	Danny Arrigo	Symmetries and integrating factors of 2nd Order ODEs.
2014	Thomas Deatherage	Danny Arrigo	Nonclassical Symmetries of the 2D Navier Stokes equation.
2014	Seth Bloomberg	Danny Arrigo	A nonclassical classification of a generalized KdV equation.
2014	Brandon Ashley Seth Bloomberg Thomas Deatherage	Danny Arrigo	Nonclassical Symmetries of a nonlinear diffusion/wave equation and system equivalents Joint Paper
2013-2008			Data for these years is unavailable
2013, 2014	Brandon McVay	R.B. Lenin	Modeling and Simulation of Patient Flow in an Outpatient OB/GYN clinic – A Simulation Approach Joint paper in Proceedings of SpringSIM 2015
2007	Ethan Hereth	Danny Arrigo	Symmetry Analysis of the VariableBernoulli-Euler Beam Equation
2007	Olabode Sule Luis Suazo	Danny Arrigo	General Compatibility of the 2 + 1 Dimensional Diffusion Equation
2007	Christopher Pickens	Weijiu Liu	Competitive Feedback Inhibition Rates in Branched Metabolic Pathways
2007	Jason Torrence Katie Reynolds	Danny Arrigo	Refining the Rathole Boundary-Value Problem
2007	Taylor Erwin Jonathan Johnson	Clarence Burg	Using Richardson Extrapolation to Increase the Spatial Accuracy of Existing Computational Solvers
2007	Taylor Erwin	Clarence Burg	Improving the Predictive Ability of NASA Langley's Computational Simulation Package FUN3D
2007	Matt Brozak	Clarence Burg	Space-Time Finite Volume Methods for Numerical Solutions of Moving Mesh Problems
2007	Shane McNew	Clarence Burg Weijiu Liu	Modeling Glucose Rates within Cells using PDEs
2007	Oumarou Tahirou	Weijiu Liu	Feedback control of inverted pendulum systems
2007	Joel Terwilliger	Weijiu Liu	Modeling the biological mechanisms of insulin and glucose oscillations through dynamic feedback control
2007	Eric Sellers Christopher Willette	Weijiu Liu	Reactive mixing enhancement by optimal tuning of flows.
2007	Michael Schellkoph	David Peterson	Music Acoustics
2007	Steven R Nelson Gregory A Warner	Tomer	Propositional Calculus and English Sentences: A C++ Programming Approach
2006	Akhil Mehata Chase Ransom	David Peterson	Hydrology modeling of Buffalo River
2006	Michael Schelkophf	David Peterson	Modeling of marimba bars
2006	Racheal Courtney Stephanie Lanier	Danny Arrigo	Knot Theory
2006	Luis Suazo Bode Sule	Danny Arrigo	Symmetry analysis of the linear diffusion equation with a source term
2006	Ethan Hereth	Danny Arrigo	First order compatibility for 2+1 diffusion equations
2006	Jason Torrence Katie Reynolds	Danny Arrigo	Rat holes in highly frictional granular materials
2006	Amber Fason	George Bratton	Rat holes in highly frictional granular materials
2006	Taylor Erwin Jonathan Johnson	Clarence Burg	Using Richarson extrapolation to increase the spatial accuracy of existing computational solvers
2006	Joel Terwilliger	Weijiu Liu	Simulating the oscillations of glucose and insulin
2006	Oumarou Tahirou	Weijiu Liu	Controllability and observability of inverted pendulum systems
2006	Luis Jimenez Christopher Pickens	Weijiu Liu	Mathematical Determination of Competitive Feedback Inhibition Rates in Branched Metabolic Patheways.