2008–2009 - Florida Institute of Technology

A doctoral student must have a program of study approved by the
department head by the end of the first semester in residence.
This program is based on the student’s goals and background.
The proposal presents the research plan to be followed in the
dissertation work. It is developed under close supervision of
the adviser. Areas of specialization are included under research
activities. The proposal is presented to and approved by the
student’s committee and department head.
After the research project is completed and approved by the
adviser, the dissertation is submitted to the advisory committee
for critical evaluation. The student then orally defends the
dissertation.
General degree requirements are presented in the Academic
Overview section of this catalog.
Curriculum
In developing a program of study for the doctoral degree, considerable
latitude is allowed to accommodate research interests. The
following guidelines apply to students entering with a bachelor’s
degree:
Course Work and Thesis Summary
Approved Chemistry Courses (minimum) ...............................................24
Additional Course Work ............................................................................9
Chemistry Research .............................................................................0–18
Dissertation (maximum) ..........................................................................30
MINIMUM REQUIRED BEYOND BACHELOR’S DEGREE .............81
For students entering with a master’s degree, course work
completed for the master’s degree can fulfill a significant
proportion of the 33 credit hours of required doctoral course
work. The student should be prepared to complete some
additional course work.
research
Research areas presently of interest to chemistry department
faculty include:
• Bio-organic chemistry
• Chemical education
• Environmental chemistry
• Geochemistry
• Molecular spectroscopy
• Nanotechnology
• Natural products
• Organometallic chemistry
• Pharmaceutical chemistry
• Physical organic chemistry
• Polymer chemistry
• Molecular modeling
• Renewable energy applications
• Solid-phase reaction kinetics
• Synthetic organic chemistry
• Thermal methods of analysis
130 Florida Tech
Department of mathematiCal SCienCeS
V. Lakshmikantham, Ph.D., Head
Associate Department Head
Semen Köksal, Ph.D.
Degree Programs
Applied Mathematics, B.S., M.S., Ph.D.
Mathematical Sciences, B.S.
Operations Research, M.S., Ph.D.
Undergraduate Minor Program
Computational Mathematics
Professors
Ravi P. Agarwal, Ph.D., numerical analysis, differential and difference
equations, differential inequalities, fixed point theorems.
Jewgeni H. Dshalalow, Dr. Sci., real analysis, stochastic processes, queuing
theory, operations research.
Charles T. Fulton, Ph.D., ordinary and partial differential equations,
spectral theory of differential operators, numerical linear algebra, numerical
methods for two-point boundary value problems, parallel processing.
Semen Köksal, Ph.D., mathematical biology, neural networks, stability
analysis of dynamical systems, theory of nonlinear ordinary differential
equations.
V. Lakshmikantham, Ph.D., nonlinear analysis, differential and integral
equations, numerical mathematics, evolution operations, nonlinear game
theory.
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.
Syamal K. Sen, Ph.D., computational error and complexity, computational
mathematics, deterministic and stochastic operations research, error-free
and finite-field computation, random sequences and generators, randomized
algorithms, optimizations.
Gnana B. Tenali, Ph.D., wavelet analysis, differential operators, dynamical
systems.
Associate Professors
Ugur G. Abdulla, Ph.D., partial differential equations, potential theory,
reaction-diffusion equations, free boundary problems, multidimensional
Brownian motion.
Dennis E. Jackson, Ph.D., partial differential equations, finite element
methods for partial differential equations, functional analysis, scattering
theory.
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.
Professors Emeriti
George E. Abdo, Ph.D.; Frederick B. Buoni, Ph.D.;
Frank C. DeSua, Ph.D.
uNDerGraDuate DeGree ProGrams
Bachelor of Science
Applied Mathematics ________________________
During the first two years, mathematics majors share many
courses with other students. The applied mathematics program
includes courses with extensive theoretical content, as well as
applied courses from related departments. Students can choose
electives that will enable them to apply mathematics to engineering,