## 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)

### 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 S*, 2004.^{2}

Advisor: Dr. Judith Silver

### LaTeX Classes

The Department of Mathematics offers a LaTeX class for students who wish to prepare their *Theses* in LaTeX.