Graduate Research Graduate students in the M.A. in Mathematics degree program have the option of taking an Comprehensive Oral Examination or writing a Thesis. Students who wish to write a Thesis should speak with the Chair of Graduate Studies during the first year, to make sure their plan of study is appropriate. Many faculty in the department are willing to advise graduate Theses; interested students should consult the list of faculty research interests and contact possible mentors directly. Published Math Graduate Theses Marshall University publishes Graduate Theses on two websites: Marshall Digital Scholar (from 2011 to present). Marshall Electronic Theses and Dissertations (through 2011) 2021 – Math Graduate Theses Fatima A Akinola On Hamilton cycle decompositions of complete multipartite graphs which are both cyclic and symmetric, 2021. Advisor: Dr. Michael Schroeder 2020 – Math Graduate Theses Oluwatobiloba Ige Markov Chain Epidemic Models and Parameter Estimation, 2020. Advisor: Dr. Anna Mummert 2019 – Math Graduate Theses Gboyega David Adepoju Statistical Analysis of Tandem Queues With Markovian Passages in Porous Mediums, 2019. Advisors: Dr. Alfred Akinsete and Dr. Anna Mummert Junya Kasahara Universal Quantum Computation, 2019. Advisors: Dr. Carl Mummert Kevin McDaniel An Inference-Driven Branch and Bound Optimization Strategy for Planning Ambulance Services Advisors: Dr. Michael Schroeder Adam O’Neal On Monochromatic Sets with Nondecreasing Diameter, 2019. Advisors: Dr. Michael Schroeder Christina Stradwick Exploring the variance of the sample variance through estimation and simulation, 2019. Advisor: Dr. Laura Adkins 2018 – Math Graduate Theses Oluwagbenga David Agboola Preference Probability Based on Ranks – A New Approach Using Logistic Regression with Zero Intercept, 2018. Advisor: Dr. Laura Adkins 2017 – Math Graduate Theses James Martin Local Sensitivity Analysis of Acute Inflammation, 2017. Advisor: Dr. Anna Mummert Oluwaseun Elizabeth Otunuga The Pareto-g Extended Weibull Distribution, 2017. Advisor: Dr. Alfred Akinsete Jacob Rodeheffer The Combinatorics of Modified Macdonald Polynomials, 2017. Advisor: Dr. Elizabeth Niese Sean Sovine Weihrauch Reducibility and Finite-Dimensional Subspaces, 2017. Advisor: Dr. Carl Mummert 2016 – Math Graduate Theses Melinda Bierhals A Generalization of the Difference of Slopes Test to Poisson Regression with Three-Way Interaction, 2016. Advisor: Dr. Laura Adkins Jacob E. Fischer A Mechanical Investigation of Second Order Homogeneous Dynamic Equations on a Time Scale, 2016. Advisor: Dr. Bonita Lawrence 2015 – Math Graduate Theses Alexandria Amity Amorim Solutions of a Logistic Equation on Varying Time Scales: A Quantitative and Qualitative Analysis, 2015. Advisor: Dr. Bonita Lawrence Jennifer Anderson Multiplication Rules for Schur and Quasisymmetric Schur Functions, 2015. Advisor: Dr. Elizabeth Niese Ram Joshi A Generalized Inflated Geometric Distribution, 2015. Advisor: Dr. Avishek Mallick 2014 – Math Graduate Theses Evan Boyd A New Method for Ranking Quarterback Fantasy Performance with Assessment Using Distances Between Rankings, 2014. Advisor: Dr. Laura Adkins Molly Kathryn Peterson Mechanical Visualization of a Second Order Dynamic Equation on Varying Time Scales, 2014. Advisor: Dr. Bonita Lawrence Patrick Stewart A Generalized Inflated Poisson Distribution, 2014. Advisor: Dr. Avishek Mallick 2013 – Math Graduate Theses Alaa Elkadry Transmission Rate in Partial Differential Equation in Epidemic Models, 2013. Advisor: Dr. Anna Mummert Kayode Olumoyin Solutions of Dynamic Equations on Time Scales with Jumps, 2013. Advisor: Dr. Bonita Lawrence 2012 – Math Graduate Theses Maggie Chenoweth A Local Radial Basis Function Method for the Numerical Solution of Partial Differential Equations, 2012. Advisor: Dr. Scott Sarra Nonhle Channon Mdziniso Quotients of the beta-Weibull Distribution, 2012. Advisor: Dr. Alfred Akinsete Alaeddine Saadaoui On the Logic of Reverse Mathematics, 2012. Advisor: Dr. Carl Mummert 2011 – Math Graduate Theses Sher B. Chhetri Solutions to Dynamic Equations on Varying Times Scales. Mathematics, 2011. Advisor: Dr. Bonita Lawrence Thomas Cuchta Infinitesimal Time Scale Calculus, 2011. Advisor: Dr. Bonita Lawrence Richard Merritt The Theory of `Art’: Qualitative in Nature and Quantitative in Practice, 2011. Advisor: Dr. Bonita Lawrence Jianan Sun Statistical Properties of a Convoluted β-Weibull Distribution, 2011. Advisor: Dr. Alfred Akinsete Clyde Meador Numerical Calculation of Lyapunov Exponents for Three Dimensional Systems of Ordinary Differential Equations, 2011. Advisor: Dr. Anna Mummert 2010 – Math Graduate Theses Grace Amusan The β-Maxwell Distribution, 2010. Advisor: Dr. Alfred Akinsete Sydney Thembinkosi Mkhatshwa Super-spreading Events, 2010. Advisor: Dr. Anna Mummert Devon Anne Tivener Mathematics in Motion: Linear Systems of Autonomous Differential Equations on the Differential Analyzer, 2010. Advisor: Dr. Bonita Lawrence 2009 – Math Graduate Theses Xun Sun Twin Solutions of Even Order Boundary Value Problems for Ordinary Differential Equations and Finite Difference Equations, 2009. Advisor: Dr. Bonita Lawrence Derek Joseph Sturgill Variable Shape Parameter Strategies in Radial Basis Function Methods, 2009. Advisor: Dr. Scott Sarra Olusegun Michael Otunuga Finding Positive Solutions of Boundary Value Dynamic Equations on Time Scale, 2009. Advisor: Dr. Basant Karna 2008 – Math Graduate Theses Steven Anthony Lacek Non-preemptive Shunting in M/M/1 and Dynamic Service Queueing Systems, 2008. Advisor: Dr. Alfred Akinsete Tue Ngoc Ly Limiting Problems in Integration and An Extension of the Real Numbers System, 2008. Advisor: Dr. Ariyadasa Aluthge Keshav Prasad Pokhrel A Study of Present Value Maximization of the Monopolist in Time Scales, 2008. Advisor: Dr. Bonita Lawrence Lin Yuan Analysis of Listing Price Option on Ebay Market, 2008. Advisor: Dr. Alfred Akinsete 2007 – Math Graduate Theses Hui Luo Population Modeling by Differential Equations, 2007. Advisor: Dr. Bonita Lawrence 2006 – Math Graduate Theses Elizabeth R. Duke Solving Higher Order Dynamic Equations on Time Scales as First Order Systems, 2006. Advisor: Dr. Bonita A. Lawrence Kelli J. Hall Dynamic Equations on Changing Time Scales: Dynamics of Given Logistic Problems, Parameterization, and Convergence of Solutions, 2006. Advisor: Dr. Bonita Lawrence Christopher Aaron Johnson Applications of Computational Homology, 2006. Advisor: Dr. Peter Saveliev Leslie Lillian Kerns Geometric Field Stability and Normal Field Curvature of Solution Sets of Ordinary Differential Equations in Two Variables, 2006. Advisor: Dr. Ralph Oberste-Vorth Shannon Nicole Miller The Dynamics of Newton’s Method on Cubic Polynomials, 2006. Advisor: Dr. Ralph Oberste-Vorth 2005 – Math Graduate Theses Diana Elizabeth Fisher Convergence Analysis of MCMC Method in the Study of Genetic Linkage with Missing Data, 2005. Advisor: Dr. Alfred Akinsete Rob-Roy Lee Mace Reduction of the Gibbs Phenomenon Via Interpolation Using Chebyshev Polynomials, Filtering and Chebyshev-pade Approximations, 2005. Advisor: Dr. Scott Sarra 2004 – Math Graduate Theses Nicholas J. Wintz Eigenvalue Comparisons for An Impulsive Boundary Value Problem with Sturm-Liouville Boundary Conditions, 2004. Advisor: Dr. Bonita Lawrence Misty Dawn Wood A Frenet-Serret Apparatus on S2, 2004. Advisor: Dr. Judith Silver LaTeX Classes The Department of Mathematics offers a LaTeX class for students who wish to prepare their Theses in LaTeX.