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Mathematics

Program Chair
Dr. Boris Kupershmidt
(931) 393 - 7465
bkupersh@utsi.edu

Degree offered: MS

Faculty

  • B. A. Kupershmidt, Ph.D., Massachusetts Institute of Technology -- Hamiltonian Mechanics, Variational Calculus, Integrable Systems
  • K. R. Kimble, Ph.D.,(retired), Ohio State University -- Computer Graphics, Wavelets, Computational Fluid Dynamics, Scientific Visualization
  • K. C. Reddy, Ph.D.,(retired) Indian Institute of Technology -- Computational Fluid Dynamics, Numerical Analysis

 

The Master of Science degree is designed to train students in applied mathematics for employment in industry or for the pursuit of advanced degrees in applied mathematics or engineering disciplines. The emphasis is on applicable mathematics for engineering or physics problems.

Master of Science (MS)

Prerequisites:
An undergraduate degree from a recognized university with at least 21 semester hours of courses in mathematics beyond the courses in calculus and analytical geometry will be required. There should be at least a B average in the mathematics courses beyond calculus.

Degree Requirements:
UTSI offers primarily a thesis option for the MS degree in mathematics. It requires 24 semester hours of credit in courses numbered above 400 and 6 semester hours of credit for a thesis. Of the non-thesis course work, 6 hours may be outside the department and 15 hours must be in mathematics courses numbered above 500.

Research Options:
Candidates for the MS degree in mathematics can do a thesis in one of many areas of applied mathematics. They can work with the Institute faculty in areas such as computational fluid dynamics, numerical mathematics, computational number theory, non-linear mechanics, or mathematics related to engineering, physics or computer disciplines. There are several research projects in these areas at UTSI, many of which are sponsored by governmental agencies and industry.

Current Research Areas:

  • Computational Fluid Dynamics (CFD)-Numerical Analysis
    • Algorithm development for solving Euler and Navier-Stokes equations efficiently both in finite difference and finite element formulations.
    • Applications of CFD to internal and external flows.
  • Hamiltonian Mechanics
    • Hamiltonian structures of conservative systems such as inviscid flows, superfluids, etc.
    • Infinite dimensional Calculus of Variations
  • Computational Number Theory
  • Wavelet Diagnostics
    • Applications of wavelets to detect and classify bearing failure.
    • Development of wavelet techniques for segmentation of plume and fluid images.
    • Use of wavelets to measure solid rocket to burn profiles.