Last Updated on Thursday, 12 April 2012 21:29
The program has three prescribed electives areas: Computer Science, Mathematics, and Science/Engineering course work.
Area A: Computer Science course work
CS 5334 Parallel and Concurrent Programming (3-0) (Spring Semester)
The study of software and hardware architectures for parallel and concurrent systems, including multiple processes executing in parallel and the programming of distributed systems. Prerequisite: instructor approval.
CS 5350 Advanced Algorithms (3-0) - (Fall Semester)
A review of mathematical techniques for analysis of computer algorithms, techniques for design of efficient algorithms, description and analysis of both well established and recently developed algorithms. Prerequisite: CS 2402 or instructor approval.
CS 5336 Scientific and Program Visualization (3-0)
Introduction to modern scientific visualization techniques, including a survey of visualization, fundamentals of visualization and visualization systems, applications of color to visualization, and applications of data and program visualization techniques. Prerequisite: CS 2402 or instructor approval.
Area B: Mathematics course work
STAT/MATH 5385 Statistics in Research (3-0) - Fall Semester
An introduction to statistical modeling of a univariate response conditional on a test of explanatory variables. Classical formulation of multiple linear regression and analysis of variance. Some discussion of experimental design from power considerations. Selected topics from generalized linear models, nonparametric regression, and quasi-likelihood estimation. Emphasis is on model building, fitting, validation, and subsequent inferences. Analysis of real data using major statistical software packages. Prerequisites: MATH 3323, STAT 4380, or instructor approval.
STAT/MATH 5392 Statistical Computing (3-0) - Spring Semester
A study of stochastic simulation and select numerical methods use in statistical computation. Prerequisites: working knowledge of a high-level programming language, linear algebra, and STAT 4380 or equivalent.
MATH 5329 Numerical Analysis (3-0) - Fall Semester
Introduction to approximation and interpolation, numerical differentiation and integration, numerical solution of systems of linear and non-linear algebraic equations as well as ordinary differential equations. Introduction to finite difference methods for partial differential equations. Emphasis is on mathematical aspects of the methods such as accuracy and stability. Practical examples and computer programs will be covered. Prerequisites: MATH 3323 and a working knowledge of a high-level programming language.
MATH 5330 Computational Methods of Linear Algebra (3-0) -Spring Semester
Numerical methods for large systems of linear algebraic equations, preconditioned iterative methods, sparse direct methods, eigenvalue and generalized eigenvalue problems, and error analysis. Prerequisites: MATH 3323 and a working knowledge of a high-level programming language.
MATH 5343 Numerical Solution of Partial Differential Equations (3-0) -Spring Semester
Introduction to modern numerical methods for the solution of elliptic, parabolic, and hyperbolic partial differential equations. Emphasis is given to finite element methods. Prerequisites: MATH 4329 or its equivalent, and a working knowledge of a high-level programming language.
MATH 5345 Numerical Optimization (3-0) -Fall Semester
A study of numerical algorithms for solving systems of nonlinear equations, unconstrained optimization, and nonlinear least squares problems. Derivation of necessary and sufficient conditions for constrained optimization, and an introduction to interior-point methodology. Prerequisites: MATH 2313, MATH 3323, and a working knowledge of a high-level computer language
Area C: Science and Engineering course work
PHYS 5325 Mathematical Physics (3-0) -Fall Semester
Applications of selected mathematical techniques in physics: linear systems, special functions, complex variables, and tensor problems.
BINF 5351 Introduction to Bioinformatics I: Basic Sequence Comparisons (2-3) -Fall Semester
Theory and practice of sequence analysis, with an emphasis on nucleic acid comparisons and homologue determination. Includes understanding and use of Internet and computational tools with both public sequencing databases and experimental data. Prerequisite: instructor approval. (BINF 5351 is the same course as BIOL 5351)
BINF 5352 Introduction to Bioinformatics II: Gene Finding and Genomic Comparisons (2-3)- Spring Semester
A continuation of BINF 5351 with an emphasis on the analysis of protein structural information. Also includes gene annotation and whole genome comparisons. Prerequisite: instructor approval. (BINF 5352 is the same course as BIOL 5352)
GEOP 5336 Digital Image Processing (2-3) -every 2 years, Spring Semester
A survey of the techniques used to manipulate digital image data including atmospheric correction, geocoding, image enhancement, and classification. Data from multi-spectral sensors such as LANDSAT, SPOT, and IRS-C as well as hyper-spectral sensors such as AVIRIS are utilized. Prerequisite: GEOP 4336.
GEOP 5352 Geophysical Inverse Theory (3-0) -Fall Semester
The quantitative study of mathematical methods used to interpret geophysical measurements and determine earth structure. Techniques for both linear and non-linear geophysical problems are studied to determine the resolution and precision of a geophysical model from a given set of data. Prerequisites: GEOP 4332, GEOP 4334 and MATH 3323, or instructor approval.
EE 5371 Digital Signal Processing (3-0) -Spring Semester
The theory behind the Discrete Fourier Transform (DFT) and its role in the representation, analysis, and processing of periodic and finite-duration signals; Fast Fourier Transform (FFT) algorithms for efficient computation of the DFT; sample rate change and other basic multi-rate signal processing systems; FIR and IIR digital filter design procedures. Prerequisite: EE 4383 or instructor approval.
EE 5372 Image Processing (3-0) -Fall Semester
Topics in point, algebraic and geometric operations on digital images; two-dimensional digital filtering and Fourier transforms; image enhancement, segmentation, restoration and compression techniques. Prerequisite: EE 5371 or instructor approval.
CE 5307 Theory of Finite Element Analysis (3-0) -Fall Semester (cross lists with MECH 5390: Topic: Theory of Finite Element Analysis)
Finite elements of structural mechanics problems, virtual work principle, plane trusses and frames, axial elements beam bending, plane stress and plane strain, axi-symmetric stress analysis, three- dimensional stress analysis, isoparametric finite elements, finite element computer project, and use of several finite element software packages to solve typical problems. Prerequisites: CS 3343 or equivalent, CS 1420, FORTRAN or C programming, and instructor approval.
MECH 5302 Advanced Mechanics of Materials I (3-0)-Fall Semester
Introduction to solid mechanics and continuum mechanics at the graduate level.
Prerequisite: instructor approval.
MECH 5312 Advanced Mechanics of Materials II (3-0) -Spring Semester
Advanced topics in solid mechanics; computational inelasticity, fracture mechanics, micromechanics.
Prerequisite: ME 5302.