May 29, 2022  
2019-2020 Florida Tech Catalog 
    
2019-2020 Florida Tech Catalog [ARCHIVED CATALOG]

Department of Mathematical Sciences


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Ugur G. Abdulla, Ph.D., Head

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.

Kastro M. Hamed, Ph.D., STEM teaching and learning, physics education, teacher education.

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.

Thomas J. Marcinkowski, Ph.D., environmental education, curriculum and instruction, research and evaluation design.

Kanishka Perera, Ph.D., variational and topological methods for nonlinear partial differential equations, semi- and quasi-linear 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

Jian Du, Ph.D., scientific computing, numerical analysis, modeling and mathematical biology.

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.

Nezamoddin Nezamoddini-Kachoiue, Ph.D., biostatistics, bioimaging, signal processing, computer vision.

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, control theory, inverse problems.

Samantha Fowler, Ph.D., functional scientific literacy, socio-cultural attitudes toward science.

William T. Girton, Ph.D., difference and differential equations.

Jonathan Goldfarb, Ph.D., partial differential equations, optimal control and inverse problems, scientific computing.

Joo-young Park, Ph.D., mathematics education, mathematical modeling.

Stanley Snelson, Ph.D., partial differential equations, integral equations, mathematical physics, nonlinear wave equations.

Aaron Welters, Ph.D., mathematical physics, electromagnetic theory, materials science.

Instructor

Ryan White, Ph.D.

Mathematics Advancement Center

Jonathan Goldfarb, Ph.D., Director

Professors Emeriti

Frederick B. Buoni, Ph.D.; Richard E. Enstice, Ph.D.; Robert H. Fronk, Ph.D., Charles T. Fulton, Ph.D.; Dennis E. Jackson, Ph.D.

Instructor Emerita

Debra Blenis, M.S.

Mission Statement

The mission of the Department of Mathematical Sciences is to provide mathematical education with the goal of producing 21st-century problem-solvers equipped with the analytical tools and mathematical intuition required to tackle a diverse range of contemporary problems; to push the boundary of knowledge in mathematical sciences and the emerging fields of engineering and the natural sciences through application of advanced methods of applied mathematics; and to develop new mathematics capable of solving challenging problems of society.

Minor Programs

Minors in athletics coaching and computational mathematics are offered through the department. A complete policy statement regarding minors can be found under Undergraduate Academic Information . 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, reaction-diffusion 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.

Mathematics education: Diverse research activities arise from student interest, are conducted in collaboration with student advisers and span the entire K-16 community. Research is guided by current research and related issues that emerge from within the mathematics education research community.

National environmental literacy assessment (NELA) project: Funded by NOAA and EPA, and administered by the North American Association for Environmental Education, the NELA project is a multi-phase research project to help determine how environmental education practices support the development of environmental literacy among middle-school students around the U.S.

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 ill-posed 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.

Science education: Research activities in science education vary across all major science disciplines including aeronautics, biology, chemistry, computer science, environmental and earth science, physics and psychology. Students are encouraged to pursue research topics commensurate with their science background and teaching experience and represent the application of science to the K-16 education community.

Programs

    Bachelor of ScienceCertificationDoctor of PhilosophyMaster of EducationMaster of ScienceNondegreeSpecialist in Education

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