{"id":832,"date":"2016-09-19T15:59:01","date_gmt":"2016-09-19T20:59:01","guid":{"rendered":"http:\/\/www.marshall.edu\/math\/?page_id=832"},"modified":"2025-10-15T20:30:22","modified_gmt":"2025-10-16T00:30:22","slug":"graduate-2","status":"publish","type":"page","link":"https:\/\/www.marshall.edu\/math\/research\/graduate-2\/","title":{"rendered":"Graduate Research"},"content":{"rendered":"

Graduate students in the M.S. in Mathematics degree program<\/a> have the option of taking an Comprehensive Oral Examination<\/em> or writing a Thesis<\/em>. Students who wish to write a Thesis<\/em> should speak with the Chair of Graduate Studies<\/em> during the first year, to make sure their plan of study is appropriate. Many faculty in the department are willing to advise graduate Theses<\/em>; interested students should consult the list of faculty research interests and contact possible mentors directly.<\/p>\n

 <\/p>\n

Published Math Graduate Theses<\/h2>\n

Publishes Graduate Theses are available on Marshall Digital Scholar.<\/a><\/p>\n

 <\/p>\n

2021 – Math Graduate Theses<\/h2>\n
    \n
  • Fatima A Akinola
    \nOn Hamilton cycle decompositions of complete multipartite graphs which are both cyclic and symmetric<\/em>, 2021.
    \nAdvisor: Dr. Michael Schroeder<\/li>\n<\/ul>\n

     <\/p>\n

    2020 – Math Graduate Theses<\/h2>\n
      \n
    • Oluwatobiloba Ige
      \nMarkov Chain Epidemic Models and Parameter Estimation<\/em>, 2020.
      \nAdvisor: Dr. Anna Mummert<\/li>\n<\/ul>\n

       <\/p>\n

      2019 – Math Graduate Theses<\/h2>\n
        \n
      • Gboyega David Adepoju
        \n Statistical Analysis of Tandem Queues With Markovian Passages in Porous Mediums<\/em>, 2019.
        \nAdvisors: Dr. Alfred Akinsete and Dr. Anna Mummert<\/li>\n
      • Junya Kasahara
        \n Universal Quantum Computation<\/em>, 2019.
        \nAdvisors: Dr. Carl Mummert<\/li>\n
      • Kevin McDaniel
        \n An Inference-Driven Branch and Bound Optimization Strategy for Planning Ambulance Services<\/em>
        \nAdvisors: Dr. Michael Schroeder<\/li>\n
      • Adam O’Neal
        \n On Monochromatic Sets with Nondecreasing Diameter<\/em>, 2019.
        \nAdvisors: Dr. Michael Schroeder<\/li>\n
      • Christina Stradwick
        \n Exploring the variance of the sample variance through estimation and simulation<\/em>, 2019.
        \nAdvisor: Dr. Laura Adkins<\/li>\n<\/ul>\n

         <\/p>\n

        2018 – Math Graduate Theses<\/h2>\n
          \n
        • Oluwagbenga David Agboola
          \nPreference Probability Based on Ranks – A New Approach Using Logistic Regression with Zero Intercept<\/em>, 2018.
          \nAdvisor: Dr. Laura Adkins<\/li>\n<\/ul>\n

           <\/p>\n

          2017 – Math Graduate Theses<\/h2>\n
            \n
          • James Martin
            \nLocal Sensitivity Analysis of Acute Inflammation<\/em>, 2017.
            \nAdvisor: Dr. Anna Mummert<\/li>\n
          • Oluwaseun Elizabeth Otunuga
            \nThe Pareto-g Extended Weibull Distribution<\/em>, 2017.
            \nAdvisor: Dr. Alfred Akinsete<\/li>\n
          • Jacob Rodeheffer
            \nThe Combinatorics of Modified Macdonald Polynomials<\/em>, 2017.
            \nAdvisor: Dr. Elizabeth Niese<\/li>\n
          • Sean Sovine
            \nWeihrauch Reducibility and Finite-Dimensional Subspaces<\/em>, 2017.
            \nAdvisor: Dr. Carl Mummert<\/li>\n<\/ul>\n

             <\/p>\n

            2016 – Math Graduate Theses<\/h2>\n
              \n
            • Melinda Bierhals
              \nA Generalization of the Difference of Slopes Test to Poisson Regression with Three-Way Interaction<\/em>, 2016.
              \nAdvisor: Dr. Laura Adkins<\/li>\n
            • Jacob E. Fischer
              \nA Mechanical Investigation of Second Order Homogeneous Dynamic Equations on a Time Scale<\/em>, 2016.
              \nAdvisor: Dr. Bonita Lawrence<\/li>\n<\/ul>\n

               <\/p>\n

              2015 – Math Graduate Theses<\/h2>\n
                \n
              • Alexandria Amity Amorim
                \nSolutions of a Logistic Equation on Varying Time Scales: A Quantitative and Qualitative Analysis<\/em>, 2015.
                \nAdvisor:\u00a0Dr.\u00a0Bonita\u00a0Lawrence<\/li>\n
              • Jennifer Anderson
                \nMultiplication Rules for Schur and Quasisymmetric Schur Functions<\/em>, 2015.
                \nAdvisor: Dr. Elizabeth Niese<\/li>\n
              • Ram Joshi
                \nA Generalized Inflated Geometric Distribution<\/em>, 2015.
                \nAdvisor: Dr. Avishek Mallick<\/li>\n<\/ul>\n

                 <\/p>\n

                2014 – Math Graduate Theses<\/h2>\n
                  \n
                • Evan Boyd
                  \nA New Method for Ranking Quarterback Fantasy Performance with Assessment Using Distances Between Rankings<\/em>, 2014.
                  \nAdvisor:\u00a0Dr.\u00a0Laura\u00a0Adkins<\/li>\n
                • Molly Kathryn Peterson
                  \nMechanical Visualization of a Second Order Dynamic Equation on Varying Time Scales<\/em>, 2014.
                  \nAdvisor:\u00a0Dr.\u00a0Bonita\u00a0Lawrence<\/li>\n
                • Patrick Stewart
                  \nA Generalized Inflated Poisson Distribution<\/em>, 2014.
                  \nAdvisor:\u00a0Dr.\u00a0Avishek\u00a0Mallick<\/li>\n<\/ul>\n

                   <\/p>\n

                  2013 – Math Graduate Theses<\/h2>\n
                    \n
                  • Alaa Elkadry
                    \nTransmission Rate in Partial Differential Equation in Epidemic Models<\/em>, 2013.
                    \nAdvisor: Dr. Anna Mummert<\/li>\n
                  • Kayode Olumoyin
                    \nSolutions of Dynamic Equations on Time Scales with Jumps<\/em>, 2013.
                    \nAdvisor: Dr. Bonita Lawrence<\/li>\n<\/ul>\n

                     <\/p>\n

                    2012 – Math Graduate Theses<\/h2>\n
                      \n
                    • Maggie Chenoweth
                      \nA Local Radial Basis Function Method for the Numerical Solution of Partial Differential Equations<\/em>, 2012.
                      \nAdvisor: Dr. Scott Sarra<\/li>\n
                    • Nonhle Channon Mdziniso
                      \nQuotients of the beta-Weibull Distribution<\/em>, 2012.
                      \nAdvisor: Dr. Alfred Akinsete<\/li>\n
                    • Alaeddine Saadaoui
                      \nOn the Logic of Reverse Mathematics<\/em>, 2012.
                      \nAdvisor: Dr. Carl Mummert<\/li>\n<\/ul>\n

                       <\/p>\n

                      2011 – Math Graduate Theses<\/h2>\n
                        \n
                      • Sher B. Chhetri
                        \nSolutions to Dynamic Equations on Varying Times Scales. Mathematics<\/em>, 2011.
                        \nAdvisor: Dr. Bonita Lawrence<\/li>\n
                      • Thomas Cuchta
                        \nInfinitesimal Time Scale Calculus<\/em>, 2011.
                        \nAdvisor: Dr. Bonita Lawrence<\/li>\n
                      • Richard Merritt
                        \nThe Theory of `Art’: Qualitative in Nature and Quantitative in Practice<\/em>, 2011.
                        \nAdvisor: Dr. Bonita Lawrence<\/li>\n
                      • Jianan Sun
                        \nStatistical Properties of a Convoluted \u03b2-Weibull Distribution<\/em>, 2011.
                        \nAdvisor: Dr. Alfred Akinsete<\/li>\n
                      • Clyde Meador
                        \nNumerical Calculation of Lyapunov Exponents for Three Dimensional Systems of Ordinary Differential Equations<\/em>, 2011.
                        \nAdvisor: Dr. Anna Mummert<\/li>\n<\/ul>\n

                         <\/p>\n

                        2010 – Math Graduate Theses<\/h2>\n
                          \n
                        • Grace Amusan
                          \nThe \u03b2-Maxwell Distribution<\/em>, 2010.
                          \nAdvisor: Dr. Alfred Akinsete<\/li>\n
                        • Sydney Thembinkosi Mkhatshwa
                          \nSuper-spreading Events<\/em>, 2010.
                          \nAdvisor: Dr. Anna Mummert<\/li>\n
                        • Devon Anne Tivener
                          \nMathematics in Motion: Linear Systems of Autonomous Differential Equations on the Differential Analyzer<\/em>, 2010.
                          \nAdvisor: Dr. Bonita Lawrence<\/li>\n<\/ul>\n

                           <\/p>\n

                          2009 – Math Graduate Theses<\/h2>\n
                            \n
                          • Xun Sun
                            \nTwin Solutions of Even Order Boundary Value Problems for Ordinary Differential Equations and Finite Difference Equations<\/em>, 2009.
                            \nAdvisor: Dr. Bonita Lawrence<\/li>\n
                          • Derek Joseph Sturgill
                            \nVariable Shape Parameter Strategies in Radial Basis Function Methods,<\/em> 2009.
                            \nAdvisor: Dr. Scott Sarra<\/li>\n
                          • Olusegun Michael Otunuga
                            \nFinding Positive Solutions of Boundary Value Dynamic Equations on Time Scale<\/em>, 2009.
                            \nAdvisor: Dr. Basant Karna<\/li>\n<\/ul>\n

                             <\/p>\n

                            2008 – Math Graduate Theses<\/h2>\n
                              \n
                            • Steven Anthony Lacek
                              \nNon-preemptive Shunting in M\/M\/1 and Dynamic Service Queueing Systems<\/em>, 2008.
                              \nAdvisor: Dr. Alfred Akinsete<\/li>\n
                            • Tue Ngoc Ly
                              \nLimiting Problems in Integration and An Extension of the Real Numbers System<\/em>, 2008.
                              \nAdvisor: Dr. Ariyadasa Aluthge<\/li>\n
                            • Keshav Prasad Pokhrel
                              \nA Study of Present Value Maximization of the Monopolist in Time Scales<\/em>, 2008.
                              \nAdvisor: Dr. Bonita Lawrence<\/li>\n
                            • Lin Yuan
                              \nAnalysis of Listing Price Option on Ebay Market<\/em>, 2008.
                              \nAdvisor: Dr. Alfred Akinsete<\/li>\n<\/ul>\n

                               <\/p>\n

                              2007 – Math Graduate Theses<\/h2>\n
                                \n
                              • Hui Luo
                                \nPopulation Modeling by Differential Equations<\/em>, 2007.
                                \nAdvisor: Dr. Bonita Lawrence<\/li>\n<\/ul>\n

                                 <\/p>\n

                                2006 – Math Graduate Theses<\/h2>\n
                                  \n
                                • Elizabeth R. Duke
                                  \nSolving Higher Order Dynamic Equations on Time Scales as First Order Systems<\/em>, 2006.
                                  \nAdvisor: Dr. Bonita A. Lawrence<\/li>\n
                                • Kelli J. Hall
                                  \nDynamic Equations on Changing Time Scales: Dynamics of Given Logistic Problems, Parameterization, and Convergence of Solutions<\/em>, 2006.
                                  \nAdvisor: Dr. Bonita Lawrence<\/li>\n
                                • Christopher Aaron Johnson
                                  \nApplications of Computational Homology<\/em>, 2006.
                                  \nAdvisor: Dr. Peter Saveliev<\/li>\n
                                • Leslie Lillian Kerns
                                  \nGeometric Field Stability and Normal Field Curvature of Solution Sets of Ordinary Differential Equations in Two Variables<\/em>, 2006.
                                  \nAdvisor: Dr. Ralph Oberste-Vorth<\/li>\n
                                • Shannon Nicole Miller
                                  \nThe Dynamics of Newton’s Method on Cubic Polynomials<\/em>, 2006.
                                  \nAdvisor: Dr. Ralph Oberste-Vorth<\/li>\n<\/ul>\n

                                   <\/p>\n

                                  2005 – Math Graduate Theses<\/h2>\n
                                    \n
                                  • Diana Elizabeth Fisher
                                    \nConvergence Analysis of MCMC Method in the Study of Genetic Linkage with Missing Data<\/em>, 2005.
                                    \nAdvisor: Dr. Alfred Akinsete<\/li>\n
                                  • Rob-Roy Lee Mace
                                    \nReduction of the Gibbs Phenomenon Via Interpolation Using Chebyshev Polynomials, Filtering and Chebyshev-pade Approximations<\/em>, 2005.
                                    \nAdvisor: Dr. Scott Sarra<\/li>\n<\/ul>\n

                                     <\/p>\n

                                    2004 – Math Graduate Theses<\/h2>\n
                                      \n
                                    • Nicholas J. Wintz
                                      \nEigenvalue Comparisons for An Impulsive Boundary Value Problem with Sturm-Liouville Boundary Conditions<\/em>, 2004.
                                      \nAdvisor: Dr. Bonita Lawrence<\/li>\n
                                    • Misty Dawn Wood
                                      \nA Frenet-Serret Apparatus on S2<\/sup><\/em>, 2004.
                                      \nAdvisor: Dr. Judith Silver<\/li>\n<\/ul>\n
                                      \n

                                       <\/p>\n

                                      LaTeX Classes<\/h2>\n

                                      The Department of Mathematics offers a LaTeX class for students who wish to prepare their Theses<\/em> in LaTeX.<\/p>\n","protected":false},"excerpt":{"rendered":"

                                      Graduate students in the M.S. 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<\/p>\n","protected":false},"author":520,"featured_media":0,"parent":845,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-832","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.marshall.edu\/math\/wp-json\/wp\/v2\/pages\/832","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.marshall.edu\/math\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.marshall.edu\/math\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.marshall.edu\/math\/wp-json\/wp\/v2\/users\/520"}],"replies":[{"embeddable":true,"href":"https:\/\/www.marshall.edu\/math\/wp-json\/wp\/v2\/comments?post=832"}],"version-history":[{"count":8,"href":"https:\/\/www.marshall.edu\/math\/wp-json\/wp\/v2\/pages\/832\/revisions"}],"predecessor-version":[{"id":4533,"href":"https:\/\/www.marshall.edu\/math\/wp-json\/wp\/v2\/pages\/832\/revisions\/4533"}],"up":[{"embeddable":true,"href":"https:\/\/www.marshall.edu\/math\/wp-json\/wp\/v2\/pages\/845"}],"wp:attachment":[{"href":"https:\/\/www.marshall.edu\/math\/wp-json\/wp\/v2\/media?parent=832"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}