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2012–2013 UNIVERSITY CATALOG - Florida Institute of Technology

2012–2013 UNIVERSITY CATALOG - Florida Institute of Technology

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DePARTMenT OF MATHeMATiCAL SCienCeS<br />

Semen Köksal, Ph.D., Head<br />

Degree Programs<br />

Applied Mathematics, M.S., Ph.D.<br />

Biomathematics, B.S.<br />

Mathematical Sciences, B.S.<br />

Applied Mathematics, B.S.<br />

Operations Research, M.S., Ph.D.<br />

Undergraduate Minor Program<br />

Computational Mathematics<br />

Pr<strong>of</strong>essors<br />

Ugur G. Abdulla, Ph.D., partial differential equations, potential theory,<br />

reaction-diffusion equations, free boundary problems, multidimensional<br />

Brownian motion.<br />

Jewgeni H. Dshalalow, Dr. Sci., real analysis, stochastic processes, queuing<br />

theory, operations research.<br />

Charles T. Fulton, Ph.D., ordinary and partial differential equations, spectral<br />

theory <strong>of</strong> differential operators, numerical linear algebra, numerical methods<br />

for two-point boundary value problems, parallel processing.<br />

Cecilia A. Knoll, Ph.D., calculus mastery, differential equations, integrating<br />

technology into the curriculum.<br />

Semen Köksal, Ph.D., mathematical biology, neural networks, dynamical<br />

systems, mathematical modeling.<br />

Kanishka Perera, Ph.D., variational and topological methods for nonlinear<br />

partial differential equations, semi- and quasi-linear elliptic boundary<br />

value problems, problems and singularities, critical point theory, infinite<br />

dimensional Morse theory.<br />

Syamal K. Sen, Ph.D., computational error and complexity, computational<br />

mathematics, deterministic and stochastic operations research, error-free<br />

and finite-field computation, random sequences and generators, randomized<br />

algorithms, optimizations.<br />

Gnana B. Tenali, Ph.D., wavelet analysis, differential operators, dynamical<br />

systems.<br />

Associate Pr<strong>of</strong>essors<br />

Dennis E. Jackson, Ph.D., partial differential equations, finite element<br />

methods for partial differential equations, functional analysis, scattering theory.<br />

Tariel I. Kiguradze, Ph.D., partial differential equations, hyperbolic equations<br />

and systems, boundary value problems, qualitative theory.<br />

Jay J. Kovats, Ph.D., elliptic and parabolic partial differential equations,<br />

diffusion processes.<br />

Michael D. Shaw, Ph.D., nonlinear differential equations, Lyapunov stability<br />

theory, variation <strong>of</strong> parameters methods, initial time difference.<br />

Assistant Pr<strong>of</strong>essor<br />

Munevver M. Subasi, Ph.D., stochastic programming, mathematical<br />

modeling, bioinformatics, combinatorial data analysis, data mining.<br />

Pr<strong>of</strong>essors Emeriti<br />

George E. Abdo, Ph.D.; Frederick B. Buoni, Ph.D.; Frank C. DeSua, Ph.D.;<br />

V. Lakshmikantham, Ph.D.<br />

UNDergraDUaTe Degree PrograMs<br />

Biomathematics, B.S. _______________________<br />

Major Code: 7078 Degree Awarded: Bachelor <strong>of</strong> Science<br />

Age Restriction: N Admission status: undergraduate<br />

Delivery Mode/s: classroom only Location/s: main campus<br />

Mathematical biology (biomathematics) is a highly interdisciplinary<br />

program at the intersection <strong>of</strong> mathematics, biology and computer<br />

science. The program is <strong>of</strong>fered through collaboration between<br />

the mathematics and biology departments. Primarily during the<br />

freshman and sophomore years biomathematics majors complete<br />

core courses, then specialize during the junior and senior years.<br />

Specialization is based on interest in computer science, mathematics<br />

or biology, while retaining interdisciplinary training.<br />

The interdisciplinary nature <strong>of</strong> the program enables undergraduates<br />

who are interested in combining mathematics, computer science<br />

and biology to be more competitive for graduate programs and<br />

careers in bioinformatics, biostatistics, biomedical engineering,<br />

biomathematics or medicine.<br />

Degree Requirements<br />

Candidates for the Bachelor <strong>of</strong> Science in Biomathematics must<br />

complete the minimum course requirements as outlined in the following<br />

curriculum.<br />

Freshman Year<br />

FALL CREDITS<br />

ASC 1000 University Experience ............................................................. 1<br />

BIO 1010 Biological Discovery 1 ............................................................. 4<br />

CHM 1101 General Chemistry 1 ............................................................... 4<br />

COM 1101 Composition and Rhetoric ...................................................... 3<br />

MTH 1001 Calculus 1 ............................................................................... 4<br />

16<br />

SPRING<br />

BIO 1020 Biological Discovery 2 ............................................................. 4<br />

CHM 1102 Chemistry 2 ............................................................................ 4<br />

COM 1102 Writing About Literature ......................................................... 3<br />

CSE 1400 Applied Discrete Mathematics ............................................... 3<br />

MTH 1002 Calculus 2 ............................................................................... 4<br />

18<br />

Sophomore Year<br />

FALL CREDITS<br />

BIO 2110 General Genetics .................................................................... 4<br />

CHM 2001 Organic Chemistry 1 ............................................................... 3<br />

CSE 1001 Fundamentals <strong>of</strong> S<strong>of</strong>tware Development 1 ............................. 4<br />

HUM 2051 Civilization 1 ........................................................................... 3<br />

PHY 1001 Physics 1 ................................................................................. 4<br />

18<br />

SPRING<br />

BIO 2332 Primer for Biomath or MTH 2332 Primer for Biomath ........... 1<br />

CHM 2002 Organic Chemistry 2 ............................................................... 3<br />

CSE 1502 Introduction to S<strong>of</strong>tware Development with C++ .................. 3<br />

MTH 2201 Differential Equations/Linear Algebra ..................................... 4<br />

PHY 2002 Physics 2 ................................................................................. 4<br />

Humanities Core Course ........................................................ 3<br />

18<br />

Junior Year<br />

FALL CREDITS<br />

BIO 4990 Biology Forum ......................................................................... 1<br />

COM 2223 Scientific and Technical Communication ............................... 3<br />

HUM 2510 Logic ....................................................................................... 3<br />

MTH 2401 Probability and Statistics* ....................................................... 3<br />

MTH 3663 Mathematical Methods for Biology and Ecology ..................... 3<br />

Restricted Elective (2xxx-4xxx BIO, CSE, MTH) ................... 3<br />

16<br />

* Biology students take BIO 2801 Biometry.<br />

SPRING<br />

BIO 4991 Undergraduate Research (Q)* ................................................ 3<br />

CSE 2502 Advanced S<strong>of</strong>tware Development with C++ ........................... 3<br />

Restricted Electives (2xxx-4xxx BIO, CSE, MTH) .................. 7<br />

Social Science Elective ........................................................... 3<br />

16<br />

*Mathematics students take MTH 4990 Undergraduate Research (Q).<br />

Degree Programs—College <strong>of</strong> Science 213

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