20172018 Catalog [ARCHIVED CATALOG]
Department of Mathematical Sciences


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Ugur G. Abdulla, Ph.D., Head
Degree Programs
Undergraduate Minor Program
Computational Mathematics Minor
Professors
Ugur G. Abdulla, Ph.D., partial differential equations, potential theory, nonlinear PDEs, optimal control and inverse problems, free boundary problems, probabilistic potential theory, dynamical systems, chaos theory.
Jewgeni H. Dshalalow, Dr. Sci., real analysis, stochastic processes, queuing theory, mathematical finance, stochastic games, stochastic networks.
Cecilia A. Knoll, Ph.D., calculus mastery, integrating technology into the curriculum.
Semen Köksal, Ph.D., differential equations, mathematical biology, neural networks, dynamical systems, mathematical modeling.
Kanishka Perera, Ph.D., variational and topological methods for nonlinear partial differential equations, semi and quasilinear elliptic boundary value problems, problems and singularities, critical point theory, infinite dimensional Morse theory.
Gnana B. Tenali, Ph.D., wavelet analysis, differential operators, dynamical systems.
Associate Professors
Jim Jones, Ph.D., computational mathematics, parallel computing, numerical solution of PDEs.
Tariel I. Kiguradze, Ph.D., partial differential equations, hyperbolic equations and systems, boundary value problems, qualitative theory.
Jay J. Kovats, Ph.D., elliptic and parabolic partial differential equations, diffusion processes.
Michael D. Shaw, Ph.D., nonlinear differential equations, Lyapunov stability theory.
Munevver M. Subasi, Ph.D., stochastic programming, mathematical modeling, bioinformatics, combinatorial data analysis, data mining.
Assistant Professors
Vladislav Bukshtynov, Ph.D., numerical optimization, contol theory, inverse problems.
Jian Du, Ph.D., scientific computing, numerical analysis, modeling and mathematical biology.
William T. Girton, Ph.D., difference and differential equations.
Jonathan Goldfarb, Ph.D., partial differential equations, optimal control and inverse problems, scientific computing.
Nezamoddin NezamoddiniKachoiue, Ph.D., biostatistics, bioimaging, signal processing, computer vision.
Stanley Snelson, Ph.D., partial differential equations, integral equations, mathematical physics, nonlinear wave equations.
Aaron Welters, Ph.D., mathematical physics, electromagnetic theory, materials science.
Instructors
Ryan White, Ph.D.
Mathematics Advancement Center
Jonathan Goldfarb, Ph.D., Director
Professors Emeriti
Frederick B. Buoni, Ph.D.; Charles T. Fulton, Ph.D.; Dennis E. Jackson, Ph.D.
Minor Program
A minor in computational mathematics is offered through the department. A complete policy statement regarding minors can be found in the Academic Overview section. Information about current minor offerings is available through the individual colleges/departments.
Research
Applied Mathematics
Active areas of research in the mathematics program include nonlinear partial differential equations, potential theory, optimal control of systems with distributed parameters, inverse problems for PDEs, free boundary problems, mathematical modeling, neural networks, scientific computing and numerical analysis of nonlinear PDEs, mathematical biology, reactiondiffusion equations, variational methods for PDEs, critical point theory, mathematical physics, stochastic processes, queuing theory, dynamical systems, chaos theory, nonlocal PDEs, integral equations, and nonlinear wave equations.
Operations Research
Active areas of research in the operations research area include stochastic games, stochastic networks, mathematical finance, stochastic programming, optimization and optimal control, inverse and illposed problems, regularization, bioinformatics, data mining, biostatistics, image processing, signal processing, modeling of controlled queuing systems, decision making under uncertainty, modeling of complex biological systems, engineering management, quality control, scheduling and timetabling algorithms, applied graph theory and integer programming.
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