20232024 Florida Tech Catalog [ARCHIVED CATALOG]
Department of Mathematics and Systems Engineering


Return to: College of Engineering and Science
Gnana Bhaskar Tenali, Ph.D., Head
Professors
William W. Arrasmith, Ph.D., unconventional detection methods, imaging systems, adaptive optics, atmospheric turbulence compensation, infrasound propagation and modeling, virtual/mixed/augmented reality, and systems engineering
Jewgeni H. Dshalalow, Dr. Sci., real analysis, stochastic analysis, mathematical finance, mathematical biology with applications to cellmolecular biology and cancer research, stochastic games, cybersecurity, queuing theory
Kastro M. Hamed, Ph.D., STEM teaching and learning, physics education, teacher education, engineering education, mathematics education, financial education, learning sciences, student success, research methodologies
Thomas J. Marcinkowski, Ph.D., science and environmental education, teaching and learning, classroom and largescale assessment, research and evaluation design
Kanishka Perera, Ph.D., nonlinear elliptic partial differential equations, variational problems, free boundary problems, critical point theory
Gnana Bhaskar Tenali, Ph.D., qualitative theory of functional differential equations, set differential equations
Associate Professors
Jian Du, Ph.D., mathematical biology and scientific computing
Tariel I. Kiguradze, Ph.D., partial differential equations, ordinary differential equations, nonlinear boundary value problems, quantitative theory
Jay J. Kovats, Ph.D., elliptic and parabolic partial differential equations
Nezamoddin NezamoddiniKachoiue, Ph.D., statistical modeling, data science, machine learning, trend analysis, biostatistics, signal and image processing, pattern recognition, computer vision
Luis Daniel Otero, Ph.D., transportation systems engineering, decision support systems, remote sensing on UAV platforms
Adrian M. Peter, Ph.D., systems engineering, statistical data analysis, machine learning, image analysis
Michael D. Shaw, Ph.D., nonlinear differential equations, Lyapunov stability theory
Munevver M. Subasi, Ph.D., operations research, optimization, stochastic programming, machine learning, data science, pattern recognition, mathematical biology, stochastic modeling, financial mathematics
Assistant Professors
Yakov BerchenkoKogan, Ph.D., geometric numerical analysis, differential geometry, geometric analysis, mathematical neuroscience
Vladislav Bukshtynov, Ph.D., numerical and computational optimization, control theory, inverse problems, high performance scientific computing, mathematical modeling
William T. Girton, Ph.D., difference and differential equations
Xianqi Li, Ph.D., optimization, machine/deep learning, data analytics
Pei Liu, Ph.D., mathematical modeling, model reduction, numerical methods
Shibo Liu, Ph.D., nonlinear functional analysis, variational methods, critical point theory, nonlinear elliptic partial differential equations, differential geometry, mathematical analysis
Razvan Mosincat, Ph.D., dissipative nonlinear partial differential equations, machine learning
Son Luu Nguyen, Ph.D., stochastic games, optimal control, and optimization; computational methods for stochastic dynamical systems, stochastic dynamical systems and their applications to population dynamics and epidemiology; financial mathematics
Joo Young Park, Ph.D., mathematics education, mathematical modeling approach in undergraduate mathematics education, statistical literacy
Stanley Snelson, Ph.D., partial differential equations, mathematical physics, kinetic theory, shape optimization, nonlinear waves
Aaron Welters, Ph.D., mathematical physics, applied mathematics
Ryan White, Ph.D., probability theory, stochastic analysis, deep learning, computer vision, machine learning, natural language processing
Mission Statement
The mission of the Department of Mathematics and Systems Engineering is to provide education in mathematics and in systems engineering with the goal of producing students with a strong mathematical foundation that enables them to create new knowledge, solve critical problems, collaboratively innovate and pursue excellence in mathematics and its applications to engineering fields; to nurture integration of ideas and open new avenues for interdisciplinary research in modelbased systems engineering that includes adaptive, complex, enterprise, intelligent systems; to prepare the next generation of students capable of tackling the pressing issues 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 research areas in applied mathematics include analysis of partial differential equations, functional differential equations, optimal control, mathematical biology, scientific computing, real and stochastic analysis, mathematical physics, optimization, inverse problems, dynamical systems and ergodic theory.
Educational technology: Research activities in the diverse and everexpanding area of educational technology also spans the K16 spectrum, including educational applications of AV resources to enrich traditional instruction, social media and simulation technologies including virtual reality (VR) to enhance learning within targeted audiences, and evolving technologies and strategies for improving the effectiveness of remote/distance and online learning.
Environmental education and environmental literacy assessments: Funded by NOAA and EPA, and administered by NAAEE, the National Environmental Literacy Assessment (NELA) project was a 10year, multiphase research project to help determine how environmental education (EE) practices support the development of environmental literacy among middleschool students around the U.S. The NELA team supported national assessments (K12) in South Korea, Israel, and Turkey, and later worked with members of each national team to summarize and compare results. After NELA, doctoral students at Florida Tech have developed instruments to assess environmental literacy among college students in Mainland China and high school students in Saudi Arabia. Other areas of research in environmental education include environmental sensitivity and significant life experiences.
Mathematics education: Diverse research activities focus on issues related to the theory and practice of K16 mathematics or statistics education. A distinctive feature of the mathematics education program is a strong emphasis on the role of mathematics content knowledge and mathematics application in STEM education. Research areas include but are not limited to teaching and learning of mathematical modeling, statistical literacy, projectbased learning in mathematics at the undergraduate level, and the role of simulation technologies in teaching and learning mathematics.
Operations research: Active areas of research in operations research include stochastic analysis, optimization, computational optimization, stochastic programming, probability theory, statistical modeling, biostatistics, data science, machine learning, pattern recognition, computer vision, trend analysis, image and signal processing, natural language processing, game theory, mathematical biology, financial mathematics and their applications to medicine, engineering, science, and nontechnical disciplines.
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 K16 education community. Examples include, but are not limited to, scientific literacy; the nature of science and science inquiry; and socioscientific issues.
Systems engineering: modelbased systems engineering (MBSE); complex, complicated and adaptive systems; intelligent systems and enterprise systems; contemporary modeling methods; decision, risk and optimization methodologies; system reliability; systems thinking and big data issues.
ProgramsBachelor of ScienceNondegreeMaster of EducationMaster of ScienceSpecialist in EducationDoctor of Philosophy
Return to: College of Engineering and Science
