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 |
---|---|---|---|

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. |