• Special Programs

• Publications and Collections

• Academic Information

• College of Agricultural Sciences

• College of Art and Sciences

• College of Business Administration

• College of Engineering

• Interdisciplinary Programs

Students have access to the central Computing Center and to other equipment of the Mathematics Department. Two special purpose laboratories, the Scientific Computing and the Visualization Laboratory are available to students with research projects in computational mathematics.

Students entering this program may specialize in Applied Mathematics, Statistics or Pure Mathematics.

Applicants for admission should have an undergraduate degree in mathematics or its equivalent in addition to the requirements of the Office of Graduate Studies. Candidates are expected to have approved undergraduate courses in linear algebra, algebraic structures, and advanced calculus.

In addition to the requirements of the Office of Graduate Studies, the Master of Science degree in Mathematics includes approving nine credits of core courses, two seminar credits, nine credits in the area of specialization, six credits outside the major area, and six thesis credits. In addition the student must pass qualifying exams:

1. Pure mathematics track: two exams from Abstract Algebra, Real Analysis or To-pology.

2. Applied Mathematics track: two exams from Real Analysis, Numerical Analysis or Numerical Linear Algebra.

3. Statistics track: one exam from applied statistics or Theoretical statistics.

Specific course requirements for each area are available at http://math.uprm.edu

Applicants for admission should have an under-graduate degree in Mathematics or its equivalent, or an undergraduate degree in Science or Engi-neering. Candidates are expected to have ap-proved courses in multivariable calculus, differ-ential equations, linear algebra, numerical analy-sis and data structures, as well as having pro-gramming experience using a high level lan-guage such as Fortran or C\C++.

In addition to the requirements of the Office of Graduate Studies, the Master of Science degree in Scientific Computing includes approving the following core courses: Numerical Mathematical Analysis, MATE 6672, Numerical Linear Alge-bra, Mate 6025, Analysis of Algorithms, COMP 6785, and High Performance Computing COMP 6786, six credits outside the area, nine credits in the area of specialization, three thesis credits and two internship credits. In addition, the candidate must pass two qualifying exams from Numerical Analysis, Numerical Linear Algebra or Analysis of Algorithms.

Advanced Undergraduate Courses

MATE 5016. GAME THEORY (On demand). Three credit hours. Three hours of lecture per week.

Mathematical theory and solution of different classes of games, such as two-person, rectangular or matrix, and multipersonal games.

MATE 5047. INTERMEDIATE DIFFER¬ENTIAL EQUATIONS (I) (Odd numbered years). Three credit hours. Three hours of lecture per week. Prerequisites: MATE 4009 and MATE 4031 or its equivalent.

Existence, continuity and differentiability of solutions; stability and Lyapunov’s theorem.

MATE 5049. CALCULUS OF VARIATIONS (On demand). Three credit hours. Three hours of lecture per week. Prerequisite: MATE 4009.

Origin and historical development of the calculus of variations; first variation of a functional; canonical forms of Euler's equations; second variation: sufficient conditions for weak and strong extremals; applications to problems in geometry, mechanisms and physics.

MATE 5055. VECTOR ANALYSIS (On demand). Three credit hours. Three hours of lecture per week. Prerequisite: MATE 3063 or MATE 3185.

Introduction to vector analysis as a tool for mathematicians. The algebra and calculus of vectors, including gradient, divergence and curl, Stokes' and Green's theorems, curvilinear coordinates, and simple n-dimensional space. Applica¬tions in physics and geometry.

MATE 5056. TENSOR ANALYSIS (On demand). Three credit hours. Three hours of lecture per week. Prerequisite: MATE 3063 or MATE 3185.

Cartesian tensors, Cartesian tensor fields, gradient vector, Laplacian, covariant and contravariant tensor fields, the differential line-element and the fundamental tensors, covariant differentiation and the Riemann-Christoffel tensor.

MATE 5150. LINEAR ALGEBRA (I). Three credit hours. Three hours of lecture per week. Prerequisite: MATE 4008.

Study of the essentials of linear algebra, including finite dimensional vector spaces, linear equations, matrices, determinants, bilinear forms, inner products, spectral theorem for normal operators, and linear transformations.

Graduate Courses

MATE 6005. COMBINATORICS (On demand). Three credit hours. Three hours of lecture per week.

Enumerative analysis and optimization techniques: permutations and combinations, generating functions, recurrence relations, the principle of inclusion and exclusion, rudiments of graph theory, transport network, and linear programming.

MATE 6025. NUMERICAL LINEAR ALGEBRA. Three credit hours. Three hours of lecture per week.

Matrix analysis techniques fundamental to prob¬lem solving and the development of optimization methods and numerical solution of differential equations. Topics include: eigenvalue and eigenvector problems, numerical methods, singular value decomposition, special problems, and applications.

MATE 6026. NUMERICAL OPTIMIZATION. Three credit hours. Three hours of lecture per week.

Modern optimization methods and their applica¬tion to various problems in science and engineer¬ing. Topics include: optimization on convex sets, minimization methods of nonlinear problems, nonlinear equations, conjugate methods, and special structure problems.

MATE 6035. TOPICS IN OPERATIONS RESEARCH I (II) (Odd numbered years). Three credit hours. Three hours of lecture per week.

Selected topics in operations research.

MATE 6036. TOPICS IN OPERATIONS RESEARCH II (I) (Odd numbered years). Three credit hours. Three hours of lecture per week.

Selected topics in operations research.

MATE 6045. OPTIMIZATION THEORY (II) (Odd numbered years). Three credit hours. Three hours of lecture per week.

Classical optimization techniques: linear, non-linear, geometric programming, dynamic programming, the path method.

MATE 6201-6202. ABSTRACT ALGEBRA (II)-(I). Three credit hours per semester. Three hours of lecture per week each semester. Prerequisite: Authorization of Director of the Department.

A survey of abstract algebra. Algebraic systems studied include groups, ring, fields, Galois theory, modules over rings, partially ordered algebraic systems and theory of categories.

MATE 6261. THEORY OF FUNCTIONS OF A REAL VARIABLE I (I). Three credit hours. Three hours of lecture per week.

Set theory, the axiom of choice and Zorn's lemma, structure of the real number system, metric and topological spaces, Borel sets and Baire functions, limit theorems, properties of continuous and semicontinuous functions, derivatives and sequences of functions, functions of bounded variation, Riemann-Stieltjes integration.

MATE 6262. THEORY OF FUNCTIONS OF A REAL VARIABLE II (II). Three credit hours. Three hours of lecture per week.

An introduction to measure theory and Lebesque integration, covering the following topics: inner and outer measure, measurable sets, Lebesque measurable sets, Vitali’s covering theorem, measurable functions, convergence in measure, the Lebesque integral for real functions of a real variable, the Radon-Nykodym theorem, multiple integrals, Fubini's theorem, L spaces, convergence in the mean.

MATE 6301. THEORY OF FUNCTIONS OF A COMPLEX VARIABLE (II) (Even numbered years). Three credit hours. Three hours of lecture per week.

This course provides a rigorous foundation in the theory of functions of a complex variable. Topics include theory of analytic functions, contour integration and infinite series.

MATE 6530. DIFFERENTIAL GEOMETRY I (II) (Even numbered years). Three credit hours. Three hours of lecture per week. Prerequisite: MATE 6670.

Study of Riemannian metrics, affine and Riemannian connections, geodesics, curvatures, Jacobi fields, immersions.

MATE 6531. DIFFERENTIAL GEOMETRY II (On demand). Three credit hours. Three hours of lecture per week. Prerequisite: MATE 6530.

Study of complete manifolds, spaces of constant curvature, variations of energy, Rauch comparison theorem, Morse index theorem, fundamental group of manifolds of negative curvature, sphere theorem.

MATE 6540. TOPOLOGY (II). Three credit hours. Three hours of lecture per week.

An introductory course devoted to set-theoretic topology. Properties of topological spaces, including connectedness, compactness, bases, sub-bases, product spaces, quotient spaces, and the separation axioms.

MATE 6551. ALGEBRAIC TOPOLOGY (On demand). Three credit hours. Three hours of lecture per week.

Homotopy and homology groups associated with a topological space.

MATE 6622. TOPICS IN THE THEORY OF FUNCTIONS OF A COMPLEX VARIABLE (I) (Even numbered years). Three credit hours. Three hours of lecture per week. Prerequisite: MATE 6301.

Conformal mapping. Riemann surfaces, harmonic functions, the Dirichlet problem.

MATE 6627-6628. TOPICS IN ANALYSIS (I)-(II on demand). Three credit hours per semester. Three hours of lecture per week. Prerequisite: Authorization of Director of the Department.

The content of this course will vary according to interest and demand. In any given semester the course may deal with one of the following topics: Functional Analysis, Harmonic Analysis, Theory of complete normed algebras, Theory of uniform algebras, Integral Equations, Spectral Theory of Differential Operators from Physics, advanced topics in ordinary differential equations or other analogous topics.

MATE 6631. TOPICS IN MATHEMAT¬ICAL LOGIC (I)- (On demand). Three credit hours per semester. Three hours of lecture per week each semester. Prerequisite: Authorization of the Director of the Department.

The content of this course will vary from time to time, depending on demand and interest. In any given semester, the course would be devoted to a topic such as one of the following: theory of formal systems, axiomatic set theory, model theory, theory of computability and decidability, theory of finite automata, mathematical linguistics, and others.

MATE 6651-6652. INTRODUCTION TO HIGHER GEOMETRY (I, Even numbered years)-(On demand). Three credit hours per semester. Three hours of lecture per week each semester.

Homogeneous Cartesian coordinates, linear dependence of points and lines, harmonic divi¬sion, line coordinates, cross-ratio; transforma¬tion; metric, affine, and projective geometries; points and line curves, space geometry.

MATE 6670. DIFFERENTIABLE MANI¬FOLDS (I, Every two years) (On demand). Three credit hours. Three hours of lecture per week.

Differentiable manifolds, vector fields, the Frobenius theorem, differential forms and tensor fields, Lie groups, homogeneous spaces, integra¬tion on manifolds.

MATE 6672. NUMERICAL MATHEMAT¬ICAL ANALYSIS (I). Three credit hours. Three hours of lecture per week.

Mathematical methods of computation applica¬ble to automatic digital computers, choice and use of tables, finite differences, roots of equations, numerical differentiation and integra¬tion, curve fitting, least squares, harmonic analysis.

MATE 6673. NUMERICAL MATHEMAT¬ICAL ANALYSIS LABORATORY (I). One credit hour. One three-hour laboratory per week. Corequisite: MATE 6672.

Each student will prepare and run the solution of assigned problems on a digital computer.

MATE 6674. NUMERICAL METHODS FOR DIFFERENTIAL EQUATIONS. Three credit hours. Three hours of lecture per week.

Fundamentals of mathematical modeling with partial differential equations and numerical methods for their solution with the computer. Convergence and stability of distinct schemes of finite differences or finite elements for various types of partial differential equations.

MATE 6675. MATHEMATICS OF MODERN SCIENCE I (I). Three credit hours. Three hours of lecture per week.

A more advanced study of some topics covered in Mathematics of Modern Science. Complex variables, partial differential equations, special functions, and transform calculus.

MATE 6676. MATHEMATICS OF MODERN SCIENCE II (II). Three credit hours. Three hours of lecture per week. Prerequisite: MATE 6675.

A more advanced study of some topics covered in MATE 4071-4072. Sturm-Liouville systems, calculus variations, integral equations, tensors, and finite differences.

MATE 6677. ELEMENTARY PARTIAL DIFFERENTIAL EQUATIONS (I) (Even numbered years). Three credit hours. Three hours of lecture per week. Prerequisite: MATE 4009.

General theory of partial differential equations of the first and second order, linear partial differential equations, study of some of the important types of differential equations of mathematical physics.

MATE 6678. SPECIAL TOPICS IN PARTIAL DIFFERENTIAL EQUATIONS (II) (Odd numbered years). Three credit hours. Three hours of lecture per week. Prerequisite: MATE 6677.

Solution of boundary value problems, using integral transform methods, such as Laplace, Fourier, Mellin, etc.; introduction to integral and integro-differential equations.

MATE 6693-6694. TOPICS IN ALGEBRA (II odd numbered years)-(On demand). Three credit hours per semester. Three hours of lecture per week each semester. Prerequisite: Authorization of the Director of the Department.

Selected topics from algebra. Varied content to be offered from time to time as need exists and as faculty interests and time permit.

MATE 6705. PROJECT (On demand). Three credit hours. Independent study.

Application of mathematics to the solution of a specific problem. A final written report is required.

MATE 6991-6992. SEMINAR (I, II)-(I, II). One to three credit hours per semester. One to three one-and-one-half-hour lectures per week each semester.

Discussions and reports of special topics in mathematics.

MATE 6993. TOPICS IN DIFFERENTIAL GEOMETRY I (II) (Odd numbered years). One to three credit hours. One to three hours of lecture per week.

Selected topics in differential geometry.

MATE 6994. TOPICS IN DIFFERENTIAL GEOMETRY II (On demand). One to three credit hours. One to three hours of lecture per week.

Selected topics in differential geometry.

MATE 6995. SPECIAL TOPICS (On demand). One to three credit hour. One to three hours of lecture per week. Prerequisite: Authorization of Department Director.

Selected topics in Mathematics. Themes will vary according to the needs and interests of students and faculty.

MATE 6999. THESIS (I, II). Zero to six credit hour.

Every student working towards the degree of Master of Science in Mathematics is required to write a thesis on a topic selected in consultation with his adviser.

Advanced Undergraduate Courses

COMP 5045. AUTOMATA AND FORMAL LANGUAGES (I). Three credit hours. Three hours of lecture per week. Prerequisite: Authorization of the Director of the Department.

Finite automata and regular languages; pushdown automata and context-free languages; Turing machines and recursively enumerable sets; linearly bounded automata and context-sensitive languages; computability and the halting problem; undecidable problems.

COMP 5055. PARALLEL COMPUTATION (II). Three credit hours. Three hours of lecture per week. Prerequisite: MATE 4061 and authorization of the Director of the Department.

The use of supercomputers: parallel architecture, design of algorithms for scientific computation and their implementation with parallel multiprocessors, and performance analysis.

Graduate Courses

COMP 6025. SCIENTIFIC VISUALIZATION. Three credit hours. Three hours of lecture per week.

Use of computer graphics technology to aid the understanding of data acquired by physical measurement, numerical computation or simulation.

COMP 6785. ANALYSIS OF ALGORITHMS (II). Three credit hours. Three hours of lecture per week. Prerequisite: Authorization of the Director of the Department.

Analysis of algorithms: graph algorithms, algorithms for classical problems in linear algebra. Integer and polynomial arithmetic, complexity, and NP-completeness.

COMP 6786. HIGH-PERFORMANCE COMPUTING. Three credit hours. Three hours of lecture per week. Prerequisite: COMP 6785.

Concepts and methods for the design, implementation, and evaluation of high-performance algorithms for large-scale scientific and technological problems in a multiprocessing environment.

COMP 6787. INTERNSHIP. Two credit hours. One hundred and twenty hours of practice during the summer. Prerequisites: MATE 6672, MATE 6025 and COMP 6786.

Participation in a research project at a scientific computing center, to be selected in consultation with the Graduate Committee, preferably in a National Laboratory, NASA or DOD. A final oral and written presentation is required.

COMP 6838. TOPICS IN COMPUTER SCIENCE (I). Three credit hours. Three hours of lecture per week.

Selected topics in Computer Science.

COMP 6839. TOPICS IN COMPUTER SCIENCE (II). Three credit hours. Three hours of lecture per week. Prerequisite: Authorization of the Director of the Department.

Selected topics in Computer Science.

COMP 6995. PROJECT IN SCIENTIFIC COMPUTING. Zero to three credit hours.

Development of a project in scientific computing. Presentation and approval of a written report is required.

COMP 6998. THESIS. Zero to three credit hours.

Research in scientific computing. Presentation and approval of a thesis is required.

Advanced Undergraduate Course

ESMA 5015. STOCHASTIC SIMULATION (I) (Even numbered years). Three credit hours. Three hours of lecture per week. Prerequisite: ESMA 4001 or MATE 4001.

Basic methods of simulation, modeling of complex systems, simulation languages, generation of random numbers, model validity, analysis of solutions, variance reduction techniques, and the design of experiments.

Graduate Courses

ESMA 6205. APPLIED REGRESSION (II). Three credit hours. Three hours of lecture per week.

Simple linear regression, multiple linear regression, robust regression methods and analysis of residuals. Problems and remedial measures in the design of regression models. Selection of independent variables. Non-linear regression.

ESMA 6305. STATISTICAL METHODS (I). Three credit hours. Three hours of lecture per week.

Populations and samples, probability distributions, sampling distributions, statistical inference, linear and multiple regression and correlation, analysis of variance and covariance. Use of statistical computer package.

ESMA 6600. PROBABILITY THEORY (I). Three credit hours. Three hours of lecture per week.

Sample spaces and events, conditional probability and independence, discrete and continuous random variables, moment generating functions, and limit theorems.

ESMA 6607. ADVANCED SAMPLING THEORY (II) (Even numbered years). Three credit hours. Three hours of lecture per week.

Advanced theory and techniques of statistical sampling, including simple, stratified, systematic, and conglomerate sampling; comparison among these and corresponding problems of estimation; allocation problems.

ESMA 6616. LINEAR MODELS (I) (Odd numbered years). Three credit hours. Three hours of lecture per week. Prerequisite: Authorization of the Director of the Department.

Multivariate normal distribution; distribution of quadratic forms; theory of least squares; estimation and hypothesis testing in the general linear model, analysis of multiple classifications; components of variance models.

ESMA 6660. BIOSTATISTICAL ANALYSIS (On demand). Three credit hours. Three hours of lecture per week. Prerequisite: Authorization of the Director of the Department.

Descriptive and inferential statistical techniques, design of experiments, construction of biomathematical models, bio-essays and probit analysis.

ESMA 6661. THEORY OF STATISTICS I (II). Three credit hours. Three hours of lecture per week.

Sampling distributions, point and interval estimation, optimal properties of estimators, tests of simple and composite hypotheses, likelihood ratio tests, tests of goodness of fit, and analysis of contingency tables.

ESMA 6662. THEORY OF STATISTICS II (I). Three credit hours. Three hours of lecture per week. Prerequisite: ESMA 6661.

Nonparametric tests, multivariate distributions, introduction to linear models, estimation and hypothesis testing in linear models, Bayesian methods, and statistical decision theory.

ESMA 6665. STATISTICAL COMPUTING (II) (Odd numbered years). Three credit hours. Three hours of lecture per week. Prerequisite: ESMA 6205 or authorization of the Director of the Department.

Exploratory data analysis techniques; probability approximation; matrix computation applied to linear regression; computational methods for optimization, nonlinear regression, and multivariate analysis.

ESMA 6787. EXPERIMENTAL DESIGN (I) (Even numbered years). Three credit hours. Three hours of lecture per week.

Principles of experimental design and hypothesis testing: randomized blocks, latin squares, 2n, 3n, and other factorial experiments; confounding, fractional factorials, response surface methodology, split plot and incomplete block designs.

ESMA 6788. ADVANCED PROBABILITY THEORY (On demand). Three credit hours. Three hours of lecture per week.

Fundamentals of integration and measure theory; basic concepts of probability in the context of measure theory; conditional probability and conditional expectation; strong law of large numbers; theory of martingales and central limit theorem.

ESMA 6789. STOCHASTIC PROCESSES (II) (Odd numbered years). Three credit hours. Three hours of lecture per week.

Probability spaces and convergence concepts; random walk; Markov chains; Poisson processes and purely discontinuous Markov processes; stationary processes; martingales; Brownian motion and diffusion stochastic processes.

ESMA 6835. TOPICS IN STATISTICS (II) (Odd numbered years). Three credit hours. Three hours of lecture per week.

Selected topics in theoretical and applied statistics. The content will vary according to the interests of students and professors.

ESMA 6836. TOPICS IN STATISTICS (On demand). Three credit hours. Three hours of lecture per week.

Selected topics in theoretical and applied statistics. The content will vary according to the interests of students and professors.

A list of professors who engage in graduate activities in the Department follows including the highest earned degree, date, and institution granting the degree. Research and teaching interests are also included.

ROBERT ACAR, Associate Professor, Ph.D., 1987, University of Wisconsin-Madison. Research and Teaching Interests: Numerical Analysis, Partial Differential Equations, Inverse Problems.

EDGAR ACUÑA-FERNANDEZ, Professor, Ph.D., 1989, University of Rochester. Research and Teaching Interests: Linear Models, Data Analysis, and Computational Statistics.

JULIO E. BARETY, Professor, Ph.D., 1972, University of New Mexico. Research Interests: Fourier Series, Abstract Harmonic Analysis. Teaching Interests: Analysis, Pure and Applied Mathematics.

ALVARO BOLAÑO-DE LA HOZ, Associate Professor, Ph.D., 1988, University of Montana. Research Interests: Optimal Control Theory, Mathematical Modeling. Teaching Interest: Applied Mathematics.

DOROTHY BOLLMAN, Professor, Ph.D., 1964, University of Illinois, Urbana. Research Interests: Parallel Algorithms, High Performance Computing. Teaching Interest: Computer Science.

LUIS F. CACERES-DUQUE, Assistant Professor, Ph.D., 1998, University of Iowa, Iowa City, Iowa. Research and Teaching Interests: Logic, Algebra, Teaching undergraduate abstract algebra using games, applications and technology.

GABRIELE CASTELLINI, Professor, Ph.D., 1986, Kansas State University. Research and Teaching Interests: Category Theory, Categorical Topology and Commutative Algebra.

DENNIS G. COLLINS, Professor, Ph.D., 1975, Illinois Institute of Technology. Research Interests: Applied Mathematics, Applied Logic, Mathematical Physics of Quantum Theory, Differential Equations. Teaching Interests: Mathematical Modeling; Numerical Analysis.

WIESLAW DZIOBIAK, Professor, Ph.D., 1982, Wroclaw University, Poland. Research and Teaching Interests: Algebraic Logic.

ENRIQUE GALLO, Associate Professor, M.S., 1976, University of California, Berkeley. Research and Teaching Interests: Linear Programming, Dynamic Programming, Stochastic Processes.

HAEDEH GOORANSARAB, Assistant Professor, Ph.D., 1997, Purdue University, West Lafayette, Indiana. Research and Teaching Interests: Complex Dynamics, Networks.

DARRELL W. HAJEK, Professor, Ph.D., 1971, University of Florida. Research and Teaching Interests: General Topology: Topological Extensions, Compactifications; Evaluation of Teaching Effectiveness; Numerical Analysis.

MIGUEL L. LAPLAZA, Professor, Ph.D., 1965, Universidad de Madrid. Research and Teaching Interests: Algebra, Category Theory.

EDGARDO LORENZO, Assistant Professor, Ph.D., 2002, Wichita State University. Research and Teaching Interest: Applied Statistics, Nonparametric Statistics, Survival Analysis.

RAFAEL MARTINEZ-PLANNEL, Professor, Ph.D., 1983, Michigan State University. Research and Teaching Interests: Geometric Topology.

DANIEL L. McGEE, Professor, Ph.D., 1995, University of Arizona. Research and Teaching Interests: Mathematical Modeling, Applied Biostatistics.

DEBORAH ANN MOORE, Professor, Ph.D., 1995, University of Oklahoma. Research and Teaching Interests: Elementary and Undergraduate Mathematics Education.

BALCHANDRA C. OLTIKAR, Professor, Ph.D., 1977, Carleton University, Canada. Research and Teaching Interests: Expert Systems, Profinite Groups, Algebra.

ARTURO PORTNOY, Associate Professor, Ph.D., 1997, Rensselaer Polytechnic Institute, Troy, NY. Research and Teaching Interests: Analysis, Differential Equations, Applied Mathematics.

JULIO C. QUINTANA-DIAZ, Professor, Ph.D., 1996, University of Wales, United Kingdom. Research and Teaching Interests: Applied Statistics, Sampling, Regression.

WILFREDO QUIÑONES, Professor, Ph.D., 1986, University of Massachusetts. Research and Teaching Interests: Applied Mathematics and Analysis.

WOLFGANG ROLKE, Professor, Ph.D., 1992, University of Southern California. Research and Teaching Interests: Mathematical Statistics, Probability Theory.

KRZYSZTOF ROZGA, Professor, Ph.D., 1976, University of Warsaw, Poland. Research and Teaching Interests: Mathematical Physics, Differential Geometry.

TOKUJI SAITO, Professor, Ph.D., 1985, Texas A&M University. Research and Teaching Interests: Applied Statistics.

HECTOR SALAS, Professor, Ph.D., 1983, University of Iowa. Research and Teaching Interests: Operator Theory.

FREDDIE SANTIAGO-HERNANDEZ, Associate Professor, Ph.D., 1988, State University of New York at Stony Brook. Research and Teaching Interests: Differential Geometry.

ROBERT W. SMITH, Professor, Ph.D., 1979, University of Florida. Research and Teaching Interests: Statistics, CAI, Computers, Stochastic Processes and Analysis.

LEV G. STEINBERG, Professor, Ph.D., 1988, Institute for Mathematics and Mechanics of Academy of Science, Alma-Ata, USSR. Research Interests: Inverse Problems, Mathematical Modeling, Nonlinear Mechanics. Teaching Interests: Differential Equations and Numerical Analysis.

ALEXANDER URINTSEV, Associate Professor, Ph.D., 1980, USSR Academy of Sciences. Research and Teaching Interests: Fluid Dynamics, Stability, Symbolic Computation and Applied Mathematics.

PEDRO VASQUEZ-URBANO, Associate Professor, D.Sc., 1997, George Washington University, Washington D.C. Research and Teaching Interests: Linear and Non-linear Programming, Scheduling, Neural Networks.

JULIO VIDAURRAZAGA, Professor, Ph.D., 1982, State University of New York at Stony Brook. Research and Teaching Interests: Riemannian Geometry, Positive Curvature, Analysis, Linear Algebra, Geometry.

UROYOAN WALKER, Associate Professor, Ph.D., 2001, Louisiana State University. Research and Teaching Interests: Linear Algebraic Group, Galois Cohomology, Algebraic Number Theory, Quadratic Forms.

KEITH WAYLAND, Professor, Ph.D., 1979, Louisiana State University. Research and Teaching Interests: Number Theory, Combinatorics, Graph Theory, Cryptography.