Master's Degrees Awarded

2012

• Jeremy Daniel (Motoya Machida, D. Smith, O'Connor)
  A Study of Association Measures in Large Frequency Tables
• Curtis Dale Hobbs (Amy Chambers, Machida, O'Connor)
  C*-algebras and Their Representations as Bounded Operators on Hilbert Spaces
• Michael Holloway (Andrew Hetzel, Ablamowicz, Mills)
  On Commutative Rings Without Prime Ideals 
  
• Eric L. Jones (Andrzej Gutek, Liu, O'Connor, Chambers)
  Curvature and Circles: A Complex and Real Approach

2011

• Aaron Hogancamp (Allan Mills, Hetzel, Smith)
  Two Well-Known Graph Theory Results And Their Relationship To Matroid Theory
• Srikanth Potukuchi (Yung-Way Liu, O'Connor, Allen)
  A Study Of Some New Approaches To A Lyapunov Stability Problem  

2010

• Quinton Westrich (Alexander Shibakov, Gutek, Norden, Savage)
  Differential Topology and the h-Cobordism Theorem
• Lily L. Li (Allan Mills, Allen, Chambers)
  Some Well-known Properties of the Relaxation Operation in Matroid Theory

2009

• Sheela Brachey (Rafal Ablamowicz, Allen, O'Connor) Non-thesis
• Matthew Houston (Andrew Hetzel, Ablamowicz, Mills)
  Ahmes Expansions over Certain Euclidean Domains 
• Stephen Hoyer (Yung-Way Liu, Ablamowicz, O'Connor) Non-thesis
• Jason Knight (Rafal Ablamowicz, Mills, Murdock)
  Various Methods for Calculating Reducible and Irreducible Representations of the Symmetric Group
•  Bertin Nono (David Smith, Allen, Machida)
  Applications of Bayesian Statistics

2008

• 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

2007

• 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

2006

• 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

2005

• 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

2004

• 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

2003

• 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

2002

• 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

2001

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

2000

• 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

1999

• 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

1998

• 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

1997

• 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

1996

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

1995

• 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

1994

• 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

1993

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

1992

• 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

1991

• 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

1990

• 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

1989

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

1988

• 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

1987

• 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

1986

• 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

1984

• 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

1983

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

1982

• 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

1981

• 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

1980

• 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

1979

• 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

1977

• 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

1976

• 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

1975

• 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)
  Meta-Functions

1974

• 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

1973

• 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

1972

• 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

1971

• 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

1970

• J. B. Patel (S.A. Patil, Swong, Jones)
  On the Minimun 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

1969

• 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

1968

• 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

1967

• 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

1965

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