Department of Mathematics

Master's Degrees Awarded












  • Seun Akinwumi (Richard Le Borne, S. Le Borne, D. Smith)
    Numerical Behavior of the QR-Decomposition Approach to Solving the Recursive Adaptive Filter Problem
  • Eric Bouldin (Brian O'Connor, Liu, Hetzel) Non-thesis
  • Troy Brachey (Rafal Ablamowicz, Hetzel, O'Connor)
    Grobner Basis Algorithms for Grassmann Algebras in a Maple Package
  • Che G. Ngufor (Sabine Le Borne, O'Connor, Chambers)
    An Approximation Inverse Preconditioner for Saddle Point Problems Applied to Groundwater Flow
  • Brad Schwer (Alexander Shibakov, Norden, Savage)
    Characterizing Topological Spaces Using Topological or Algebraic Invariants
  • Donna Tucker (Michael Allen, Anthony, Talbert)
    The Intelligence of Statistical Learning Algorithms
  • Songfei Wu (Michael Allen, Machida, D. Smith)
    A Combination Procedure of Universal Kriging and Logistic Regression


  • Jared C. Daniels (Allan D. Mills, Chambers, Liu)
    Two Alternative Proofs of a Matroid Reconstruction Result
  • Bennie Hodges (Rafal Ablamowicz, Kosa, Mills, Norden)
    Application of Category Theory to Basic Principles of Automata Theory
  • Rebeca Lewis (Andrew Hetzel, Ablamowicz, Mills)
    Sufficient Conditions for a Finite Semiring to be a Ring
  • Ronald Smitty (Rafal Ablamowicz, O'Connor, D. Smith) Non-thesis


  • Barry Thomas Elliott (Richard P. Savage, Jr., Gutek, Mills)
    Overlapping Congruent Isosceles Triangles
  • Yu "Leo" Liu (Yung-Way Liu, Ablamowicz, D. Smith) Non-thesis
  • Dustin Long (Michael R. Allen, D. Smith, Mills)
    A Semiparametric Approach to Linear Regression
  • Dorothy Leann Long (David D. Smith, Allen, Machida)
    Estimating Confidence Intervals for the Fay-Herriot Model
  • Gary Starnes (Brian M. O'Connor, Savage, Liu)
    An Investigation of Numerical Methods for Approximating the Laplace Transform and the Inversion Integral


  • Matthew Estes (Alexander Shibakov, Norden, Mills, M. Rogers)
    Properties of Infinite Languages and Grammars
  • Aparna Sonar (Sabine Le Borne, Ablamowicz, O'Connor)
    Domain Decomposition Based Hierarchical Matrices
  • Jianfeng Zhang (Matoya Machida, Allen, Smith)
    Statistical Data Mining Methods in Adverse Drug Reaction Database


  • Rolando Navarro (David Smith, R. Le Borne, Mills) Non-thesis
  • Cheryl Swafford (David Smith, Machida, Allen)
    An Order Statistics Approach for Testing Normality
  • Jun Ye (David Smith, Machida, R. Le Borne)
    Robust Estimation of Extremes
  • Ping Ye (Yung-Way Liu, Murdock, Garimella)
    Bound States in Two and Three Quantum Waveguides Coupled Laterally through Boundary Windows with Different Channel Widths
  • Qiang Zhang (Ramesh Garimella, Liu, Ablamowicz)
    Matrix Operator on Some LP Spaces
  • Shiwei "Devin" Zhang (Rafal Ablamowicz, Garimella, Machida) Non-thesis


  • Lynda Buck (Michael Allen, O’Connor, McHenry)
    Edgeworth Expansions of Some Well Known Distributions and the Relationships Between These Distributions with Respect to Convergence
  • James Lindsay (Yung-Way Liu, Murdock, O’Connor, Norden)
    Bound States in Three Quantum Waveguides Coupled Laterally through Boundary Windows
  • Sean Tunney (Rafal Ablamowicz, Mills, Garimella)
    On the Continuous Families of Idempotents in the Clifford Algebra of the Euclidian Plane
  • David Young (Alexander Shibakov, Norden, Garimella, Savage, Jr.)
    Infinite Dimensional Topology and Homogeneity of the Hilbert Cube


  • Jiang Chang (Yung-Way Liu, O’Connor, Garimella, Ablamowicz)
    Image Restoration Using Total Variation Norm
  • Zhongming Huang (Yung-Way Liu, O’Connor, Garimella, Ablamowicz)
    Reliability of the Solutions of Bidiagonal Systems with Applications
  • Jianying Zhang (Yung-Way Liu, O’Connor, Garimella, Ablamowicz)
    Total Variation Based Digital Image Restoration


  • Scott Baker (Annie Selden, Mason, Savage, Jr., O’Connor)
    Proofs and Logic: An Examination of Mathematics Bridge Course Proofs


  • Devrim Bilgili (Ramesh Garimella, Patil, Breen)
    Inequalities Involving the Maximum Modulus of a Polynomial
  • Ben Howard (Jeffrey Norden, Shibakov, Breen, Gutek)
    Set Theory and the Method of Forcing
  • Volodymyr Hrynkiv (Rafal Ablamowicz, Garimella, Liu, O'Connor)
    On the Invertibility of some Operators on Hilbert Spaces
  • Ellen Smyth (Michael Breen, Mills, McHenry, Ablamowicz, Norden)
    RSA Compatibility with Composite Integers


  • David W. Caughran, Jr. (Nizam Uddin, Breen, McHenry, Patil)
    Some Optimal Row Column Designs in the Presence of Correlated Errors
  • Hanif Talukder (Nizam Uddin, McHenry, Patil)
    Constructions of Optimal Two-Dimensional Block Designs for Correlated Errors


  • Russell Jenkins (Ramesh Garimella, Breen, O’Connor)
    On Inclusions of L^p-Spaces
  • Joanna Leete (Michael Breen, Mazeres, Garimella)
    Maximal Length of a Chain of Principal Ideals in the Semigroup of NxN Boolean Matrices
  • Honghong Zhu (Yung-Way Liu, Linos, Norden, Garimella)
    A Formal Study of Dependencies Found in Computer Programs


  • Tina Anderson (Edmond Dixon, Mazeres, Khleif)
    The Matrix Equation AX + XA = 0
  • Noah T. Colson (Brian M. O'Connor, Dixon, Liu )
    Canonical Forms For Second Order Partial Differential Equations
  • Hongxing Lai (S. A. Patil, Liu, Uddin)
    Poisson Process of Order k with Waiting Time


  • Eric Trees (Michael Breen, Linos, Gutek, Mazeres)
    Characterization of Layered Graphs and Optimization of Their Edge Intersections


  • Bobbi Jo Butler (Yung-Way Liu, O’Connor, McHenry)
    The Transportation Problem
  • Qianyu Chen (Nizam Uddin, Patil, O’Connor, Liu)
    Construction of Universally Optimal Nested Row-Column Design with Unequal Block Sizes
  • Leann Link (Jacob T. Beard, Mazeres, Garimella)
    Iterated Sums of Polynomial Divisors over GF(p)
  • Kenneth Selvidge (Ramesh Garimella, O’Connor, Dixon)
    A Study of Functions of Bounded Variation and Generalized Hellinger Integrals


  • Aditi Badve ( S. A. Patil, Liu, McHenry)
    Hybrid Transform and Related Distributions
  • Frank Bin Lu (Yung-Way Liu, O’Connor, Beard)
    Some Bifurcation Properties in the Lorenz Systems
  • Angela Neal (S. B. Khleif, O’Connor, Mazeres, Liu)
    Duality in Linear Algebra with an Application to Linear Programming
  • Ren Shan (Brian O’Connor, Breen, Liu)
    Finding the Shortest Paths in a Parking Lot using a Successive Approximation Method


  • Marc Campbell (Jeffrey Norden, Mazeres, Mason)
    A Study of Paracompactness in General Topological Spaces


  • John Benjamin Daley (Ed Dixon, Beard, Norden)
    Almost Commutative Matrices
  • Mohamad Diab (Edmond Dixon, Mason, O’Connor)
    Almost L-Commutative Matrices
  • Leisa Hopkins (Reginald Mazeres, Ramsier, O’Connor)
    Some Properties of Cyclic Group Generators from 2x2 Matrices MOD P
  • Beth Riter (Steve Ramsier, Patil, Liu)
    A Correlation Coefficient test for Normality
  • Kokesh Kadakia (S. A Patil, Ramsier, Liu)
    The Generalized Poisson Process, Negative Factorial Moments and Limiting Distributions for some Discrete Distributions


  • Michael Allen (S.A. Patil, Ramsier, Liu)
    Distributions of Two and Three State Markov Chains with Applications
  • Dollena Hawkins (S.A. Patil, McHenry, Norden, Mason)
    Distribution of Ratios of Uniform Random Variables with Applications to Roots of Polynomials
  • Pamela Nickrand (Andrzej Gutek, Norden, Purisch)
    Transitive and Almost Transitive Homeomorphisms on the Cantor Set
  • Craig Knuckles (Steve Purisch, Norden, J. Selden, Savage Jr.)
    Nonarchemedian Topological Spaces
  • Stacy Williams (Brian O’Connor, Savage, Jr., Liu)
    Analysis of Subseries of the Harmonic Series
  • Maria Pantazopoulou (Alice Mason, O’Connor, K. Kumar)
    Applications of Topology in the Study of Defects in Condensed Matter Physics


  • Vesna Cavka (Yung-Way Liu, Patil, McHenry)
    Liapuunov’s Functions and Applications on Stability
  • Bhavna Vyas (Steve Purisch, Liu, Mason, Patil)
    Sequential and Subsequential Spaces
  • Robert Hebble (John Selden, Mason, Savage, Jr.)
    Locally Compact Closures of the Semilattice of Positive Integers
  • Barry Hamilton (Yung-Way Liu, O’Connor, B. Briggs)
    The Singular Perturbation Method of a Satellite Problem


  • Umaru Saleh (Yung-Way Liu, Patil, Mazeres)
    Integral Equation Method of Solving Boundary Value Problems for Laplace’s Equations


  • Ayman Badawi (Jacob. T. Beard, Dixon, Mason)
    Non-Unitary Perfect Polynomials over GF(p)
  • Kim McFadden (S.A. Patil, McHenry, Mason)
    Poisson Process and Reliability Relationships Applicable to Bathtub-Shaped Hazard Rate Functions
  • Ali Noureddine (Brian O’Connor, Savage, Jr., Dixon, C. Ventrice)
    Methods Relating Integral and Differential Equations


  • Shelly Forgey (Alice Mason, O'Connor, Mazeres)
    Upper Semi-Continuous Collections
  • Shankang Qu (Claude McHenry, Mason, Patil)
    The Distribution of Most Significant Digits For Values of Certain Random Variables
  • Robert G. Wynegar (Reginald Mazeres, Mason, McHenry)
    Strategies For The Niven Dice Game


  • Felix Fernandez (Brian O'Connor, Long, McHenry)
    Laplace Transform Solutions of Ordinary Differential Equations with Linear Coefficients
  • Martha Emily Hill (Brian O'Connor, McHenry, Long)
    The Methods of Jumps as Applied to Fourier Series, Legendre Polynomial Series, and Laplace Transforms
  • Raghuram K. Machiraju (S. A. Patil, Mason, McHenry)
    The Reliability Analysis of Nonrepairable Systems and the Development of a New Failure Model
  • Fadhilah Abd. Razak (S. A. Patil, O'Connor, McHenry)
    Some Compound Discrete Distributions
  • Dewey Dickson Thurman (Richard Savage, Jr., Mason, Mazeres, Dixon)
    Overlapping Rectangles of the Same Width


  • Mohammad R. Kafai (S. A. Patil, McHenry, O'Connor)
    One-Sided R-Reliable Intervals and Their Associated Confidences on the Sum of Two Continuous, Independent, Random Variables


  • Demetrois P. Kanoussis (S. B. Khleif, O'Connor, C. Ventrice, McHenry)
    Boundary-Initial Value Problems in Elliptic Coordinates


  • Lloyd Rabindra Jaisingh (C. E. McHenry, Patil, O'Connor)
    Some Geometrical Interpretations of Least Squares
  • Frances Eubank Crawford (Reginald Mazeres, Long, Dixon)
    Concerning Paths in a Rectangular Grid


  • Coral Thomas Wallace, Jr. (Edmond Dale Dixon, Long, McHenry)
    The Matrix Equations AX = XA and A*X = XA*
  • Wynella Meachum Mathes (Leland L. Long, Ramsey, Romine)
    Power Spectral Density Techniques in Modeling Water Temperature Regimes of Large Rivers
  • Adedeji Bodunde Badiru (Leland L. Long, Lessman, Mazeres)
    Stochastic Modeling of Energy Consumption at Tennessee Technological University


  • Gary Lynn Slagle (Reginald Mazeres, Savage, Long)
    Extension of the Kaplansky Property to Special Types of Four-by-Four Matrices
  • Debra L. R. Hall ( Leland Long, McHenry, Patil)
    Approaches to an Analysis of Covariance Linear Model
  • Sharon Reed Lee ( Reginald Mazeres, Dixon, Savage)
    Concerning Square and Triangular Matrices
  • Lai Chu-Ai Jen ( S.A. Patil, McHenry, Long)
    Distributions of Ratio Statistics for a Sample from the Two-Parameter Exponential and Gamma Distributions with Applications


  • Debra Tibbels (Richard P. Savage, Mazeres, Swong)
    Congruences with Composite Moduli
  • Gordon L. Freeman, Jr. (S .A. Patil, Long, Ramsey)
    The Development of the Covariance Matrix of the Order Statistics of a Generalized Logistic Distribution and Applications


  • Linda Brown Draper (S.A. Patil, Swong, Yoon, Fletcher)
    Mean Square Errors of Estimators in the Presences of an Outlier
  • Lisa Randolph Gentry (Reggie Mazeres, Khleif, Dixon)
    Some Properties of Characteristic Equations and Characteristic Roots of Two by Two Matrices
  • David Wayne Jessee, Jr. (Reggie Mazeres, Savage, Dixon)
    Concerning Free Groups of Finite Order
  • Albert Han-Chu Liu (S.A. Patil, Ramsey, Lessman)
    On the Distribution of the Studentized Bivariate Range from Correlated Sample
  • Claudia Torgerson Mitchell (Edmond Dixon, Savage, Mazeres)
    The Power Method for Determining the Maximal Eigenvalue for a Matrix


  • Peggy Bishop (S. A. Patil, Buck, Long)
    Biases and Some Mean Square Errors of Certain Statistics in the Presence of an Outlier
  • Michael Howard Alexander (James Harris, Long, Ramsey)
    Linked List Structures Applied to a Student File Maintenance Program
  • Diane Coleman (Daniel Buck, Long, Mazeres)
    Numerical Solution of Elliptic Partial Differential Equations Using Successive Over-Relaxation
  • Marilyn Sieben McIntosh (Richard Savage, Mazeres, Briggs)
    Pythagorean Triples and Obtuse Pythagorean Triples
  • Dilip Patel (S. A. Patil, Savage, Harris)
    On the Bivariate Truncated Poisson Distribution


  • Shelia Ray Tallent (Reggie Mazeres, Khleif, Savage)
    Simple Semigroups and Related Concepts
  • Kin-wing Wong (James Harris, Buck, Long)
    Study of A-Stable Multistep-Multiderivative Integration Formulas for Solving Stiff Differential Equations
  • Stephen N. Estes (S.B. Khleif, Mazeres, Savage, Swong)
    Positive Definite Matrices and Associated Hermitian Forms
  • Lynne Hanson Moorer (S. B. Khleif, Mazeres, Savage)
    On Normal Matrices
  • Charles Edward Stevens (Leland Long, Buck, Jones)


  • Maw-Wen Lin (S.A. Patil, Long, Buck)
    Estimation and Testing of the Pareto and Exponential and Related Families
  • Iris Cauthen McMurtry (Richard Savage, Mazeres, Swong)
    Fibonacci Numbers: Identities and Divisibility Properties
  • Evangelos Theodore Skoumbourdis (Reggie Mazeres, Culp, Dixon, Buck)
    Semigroups, Right Groups, and Groups
  • Teresa Tzong Yang (S.A. Patil, Savage, Buck)
    The Distribution of the Ratio of Sample Variances of Components of Correlated Normal Population with Different Scale Parameters
  • Eddie Bingham (Reggie Mazeres, Savage, Briggs)
    Properties and Interrelationships of Regular, Inverse, and Cancellative Semigroups
  • Ei-Hu Shen (S.A. Patil, Buck, Mazeres)
    The Bivariate Distribution of the First Passage Time in Brownian Motion


  • Linda Dianne Goulder (Reggie Mazeres, Buck, Savage)
    Relationships Between Semigroups and Groups
  • Marcellus Hebron Graham (Robert Briggs, Mazeres, Briggs)
    A Comparison of Second Countable, Hereditarily Separable, Lindelof, and Aleph-compact Spaces
  • Dennis Nolan Bean (Robert Briggs, Savage, Dixon)
    A Study of Compactness in Moore Spaces
  • Carolyn May Bingham (Donald Ramsey, Mazeres, Briggs)
    Generation Polynomials for Finite Semigroups
  • Leslie Irene Hale (S.A. Patil, Buck, Ramsey)
    The Distribution and the Moments of Order Statistics of a Mulivariate Normal Population with Common Correlation and Their Applications


  • Ching-ta Kao (James Harris, Savage, Buck)
    Comparison of a Pece Method and Liniger and Willoughby's Method for Solving Stiff Ordinary Differential Equations
  • Natavarbhai Gordhanbhai Patel (James Harris, Ramsey, Buck)
    Study of Cyclic Methods for Solving Ordinary Differential Equations
  • Arvindkumar Kantilal Shah (Richard Savage, Briggs, Mazeres)
    Some Partition Identities and Generating Functions
  • David Allen Stults (Reggie Mazeres, Savage, Dixon)
    Properties of E-Inversive and Rectangular Semigroups


  • Margaret Clift Hairston (Richard Savage, Briggs, Mazeres)
    Periodicity of the Fibonacci Sequence
  • Richard Lee Melhorn (Richard Savage, Briggs, Mazeres)
    Fibonacci-Type Sequence
  • Devendra C. Patel (S.A. Patil, Savage, Dixon)
    Distribution of Maximum Likelyhood Estimator of p in the Multivariate Normal Population Having Uniform and Circular Covariance Matrix
  • Pi-choa Ko (S.A. Patil, Savage, Mazeres)
    Applications of Waiting Time to Counting Processes
  • Edward Wu-Chieh Tseng (S.A. Patil, Jones, Dixon)
    The Minimum Variance Unbiased Estimators for Some Special Density Function and Their Variances
  • James Martin Stephens White, Jr. (Bobby Wilder, Briggs, Mazeres, VanCleave)
    Reflexive Linear Spaces
  • Nancy Wei-dz Wong (Edmond Dixon, Mazeres, Savage)
    K-Commutativity of Matrices
  • Felix R. Hoots, Jr. (Robert Briggs III, Dixon, Swong)
    A Comparison of Covering Properties in Moore Spaces
  • James Richard Harville (Edmond Dixon, Savage, Ward)
    K-Commutativity in a Ring


  • J. B. Patel (S.A. Patil, Swong, Jones)
    On the Minimum Unbiased Estimator of Common Variance of Multivariate Normal Population
  • Francis Ermon Little (Robert Briggs III, Dixon, Ward)
    A Study of Compactness in Metric Spaces
  • Gerald Walter Haynes (Bobby Wilder, Briggs, Savage, VanCleave)
    Finite Dimensional Linear Spaces


  • Josefino W. Y. Huang (Edmond Dixon, Swong, Patil)
    K-Commutative Matrices
  • Shirley H. Liao (S.A. Patil, Savage, Dixon)
    The Exact Distribution of the Ratio of the Mean to the Square Root of the Sum of Squares From a Normal Population
  • Te-chi Wu (S.A. Patil, Savage, Dixon, Swong)
    A Tetravariate Generalization of Student's t-Distribution
  • Shyue C. Tao (S. A. Patil, Swong, Dixon)
    Inversion of Certain Matrices and Their Applications to Maximum Likelihood Estimators of Regression Coefficients
  • Dong Gill Lee (Ralph Boles, Jones, Swong, Dixon)
    Legendre Polynomials and Applications


  • Franklin D. Cheatham (Edmond Dixon, Savage, Ward)
    Theorems on Semigroups
  • Patricia Rhea Ware Daggett (A. R. VanCleave, Jr., Swong, Dixon)
    Concerning Topological Properties of Product Spaces
  • Julia Ann Watts (Edmond Dixon, Sublett, Ward)
    Some Theorems on Higher Commutators in a Ring
  • Tony M. Hinson (Edmond Dixon, Savage, Ward)
    Determinants of Special Matrices
  • Leon Harold Darby (Edmond Dixon, Mazeres, Jones)
    Some Theorems on Idempotents in Various Algebraic Structures


  • Jacob T. B. Beard, Jr. (Edmond Dixon, Boles, Mazeres)
    Maximal Matric Fields Over a Finite Field
  • Elzie G. McBride, Jr. (C. G. Phipps, Dixon, Mazeres, Doran, Boles)
    Hyberbolic Geometry in Two and Three Dimensions
  • Bethel Carlton Flatt (Edmond Dixon, Mazeres, Ward, Boles)
    Theorems on Commutator Subgroups


  • James W. Lea, Jr. (Cecil Phelps, Boles, Clark)
    The Well-Ordering Theorem and Some Equivalents