Graduate Courses
MTH 5001 - Discrete Mathematics
Credits: 3.00
MTH 5001 Discrete Mathematics (3 credits). Logic, induction, recursion, permutations and combinations, recurrence relations, generating functions, inclusion-exclusion and selected applications of graph theory. Application areas include computer science, operations research and computer and electrical engineering. (Prerequisites: MTH 2051 and at least two other 2000-level or above math courses.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 5007 - Intro to Optimization
Credits: 3.00
INTRODUCTION TO OPTIMIZATION (3 credits). An applied treatment of modeling, analysis and solution of deterministic (e.g., nonprobabilistic) problems. Topics include model formulation, linear programming, network flow, discrete optimization and dynamic programming. (Prerequisite: At least one upper-level undergraduate math course.)
College: College of Sci. & Liberal Arts
Department:Mathematical Sciences
MTH 5009 - Intro Probabilistic Models
Credits: 3.00
INTRODUCTION TO PROBABILISTIC MODELS (3 credits). An applied treatment of modeling, analysis and solution of problems involving probabilistic information. Topics chosen from decision analysis, inventory models, Markov chains, queueing theory, simulation, forecasting models and game theory. (Prerequisite: MTH 2401 or permission of the instructor.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 5050 - Special Topics
Credits: 3.00
Special Topics (3 credits). Contents of this course may vary depending on the needs and interests of the students and the fields of expertise of the faculty. (Prerequisite: Permission of the instructor.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
Restrictions: May not be enrolled in one of the following Level(s):
Undergraduate
MTH 5051 - Applied Discrete Mathematics
Credits: 3.00
APPLIED Discrete Mathematics (3 credits). Logic fundamentals, induction, recursion, combinatorial mathematics, discrete probability, graph theory fundamentals, trees, connectivity and traversability. Applications from a variety of sciences and engineering, including computer science, operations research, and computer and electrical engineering. (Prerequisite: MTH 2051.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
Restrictions: May not be enrolled in one of the following Level(s):
Undergraduate
MTH 5101 - Introductory Analysis
Credits: 3.00
Introductory Analysis (3 credits). Rigorous treatment of calculus. Topics include sequences and series of real numbers, limits of functions, topology of the real line, continuous functions, uniform continuity, differentiation, Riemann integration, sequences and series of functions, Taylor's theorem; uniform convergence and Fourier series. (Prerequisites: MTH 2001, MTH 3102.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
Restrictions: May not be enrolled in one of the following Level(s):
Undergraduate
MTH 5102 - Linear Algebra
Credits: 3.00
Linear Algebra (3 credits). Linear algebra, systems of linear equations and Gauss elimination method; inverses, rank and determinants; vector spaces; linear transformations, linear functional and dual spaces; eigenvalues, eigenvectors; symmetric, Hermitian and normal transformations; and quadratic forms. (Prerequisite: Undergraduate course in multivariable calculus or linear algebra.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 5107 - Optimiz Models & Methods
Credits: 3.00
OPTIMIZATION MODELS AND METHODS (3 credits). A survey of popular optimization models and algorithms. Topics chosen from linear, integer, nonlinear, dynamic and combinatorial optimization. (Prerequisite: At least one upper-level undergraduate math course.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 5111 - Real Variables 1
Credits: 3.00
MTH 5111, MTH 5112 Real Variables 1, 2 (3, 3 credits). A study of basic topology, continuous and semicontinuous functions, metric spaces, differentiation, measures, product measure, Lebesgue integration, Radon-Nikodym Theorem, Lp-spaces and measures on topological spaces. (Prerequisite: MTH 5101.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 5112 - Real Variables 2
Credits: 3.00
MTH 5111, MTH 5112 Real Variables 1, 2 (3, 3 credits). A study of basic topology, continuous and semicontinuous functions, metric spaces, differentiation, measures, product measure, Lebesgue integration, Radon-Nikodym Theorem, Lp-spaces and measures on topological spaces. (Prerequisite: MTH 5101.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
Restrictions: May not be enrolled in one of the following Level(s):
Undergraduate
MTH 5115 - Functional Analysis
Credits: 3.00
Functional Analysis (3 credits). Banach spaces, Hilbert spaces, topological vector spaces, bounded and unbounded linear operators, spectral theory. (Prerequisite: MTH 5112.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 5120 - Variations & Optimal Cont
Credits: 3.00
Calculus of Variations and Optimal Control (3 credits). Topics include necessary conditions for smooth and nonsmooth problems, Euler-Lagrange equations, Pontryagin's maximum principle and its applications, elements of convex analysis, special problems and sufficient conditions and existence theory. (Prerequisite: MTH 2201.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 5125 - Applied Complex Variables
Credits: 3.00
Applied Complex Variables (3 credits). Includes functions of complex variables, Cauchy-Riemann equations, Cauchy's integral formula, Laurent series, residues, bilinear transformation, conformal mapping, Schwarz-Christoffel transformation, argument principle, Rouche's theorem, Poisson integral formula, and Dirichlet boundary value problem. (Prerequisites: MTH 2001, MTH 2201.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
Restrictions: May not be enrolled in one of the following Level(s):
Undergraduate
MTH 5130 - Theo of Complex Variables
Credits: 3.00
Theory of Complex Variables (3 credits). Topology of the complex plane, analytic functions, Cauchy's integral formula, Liouville's theorem, maximum modulus theorem, Taylor and Laurent series, singularities, residue theorem, analytic continuation, entire functions, infinite product representation and conformal mapping. (Prerequisites: MTH 2201, MTH 4101.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 5201 - Math Methods Sci/Engr 1
Credits: 3.00
Mathematical Methods in Science and Engineering 1 (3 credits). Bessel, Legendre and hypergeometric functions; Fourier series; convergence properties of series of functions; Sturm-Liouville eigenfunction expansion theory; expansion in series of orthogonal functions; introduction to complex variables, contour integration, residue theory. (Prerequisites: MTH 2001, MTH 2201.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
Restrictions: May not be enrolled in one of the following Level(s):
Undergraduate
MTH 5202 - Math Methods Sci/Engr 2
Credits: 3.00
Mathematical Methods in Science and Engineering 2 (3 credits). Classification of partial differential equations, integral transforms including Fourier and Laplace transforms. Complex inversion integral for the Laplace transform, solutions of boundary value problems by integral transforms and separation of variables. (Prerequisite: MTH 5201.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 5203 - Math Methods Sci/Engr III
Credits: 3.00
MATHEMATICAL METHODS IN SCIENCE AND ENGINEERING III (3 credits). General pertubation techniques for linear and nonlinear ordinary differential equations, boundary layer theory, WKB Methods, Multiple Scale Analysis, Approximate Method of solution of linear and nonlinear ordinary differential equations, Asymptotic Expansion of Integrals, Asymptotic power series solutions of liner ODEs near Irregular Singular Points.
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
Restrictions: May not be enrolled in one of the following Level(s):
Undergraduate
MTH 5220 - Theo Ord Diff Equations
Credits: 3.00
Theory of ordinary differential equations (3 credits). Includes basic existence theory, differential and integral inequalities, qualitative and quantitative theory, and Lyapunov's second method. (Prerequisites: MTH 2201, MTH 4101.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
Restrictions: May not be enrolled in one of the following Level(s):
Undergraduate
MTH 5230 - Partial Diff Equations
Credits: 3.00
Partial differential equations (3 credits). Includes the Hamilton-Jacobi equation; and elliptic, parabolic and hyperbolic problems, Green's function methods, transform methods, maximum principle. (Prerequisites: MTH 2001, MTH 2201, MTH 4101.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 5301 - Numerical Analysis
Credits: 3.00
Numerical Analysis (3 credits). Includes Gaussian elimination and solution of linear systems of equations, root finding methods, systems of nonlinear equations, interpolation, numerical integration, initial value problems for ODEs and fast Fourier transform. (Prerequisites: MTH 2201 and CSE 1502, or CSE 1503 or CSE 2050.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
Restrictions: May not be enrolled in one of the following Level(s):
Undergraduate
MTH 5305 - Numerical Linear Algebra
Credits: 3.00
Numerical Linear Algebra (3 credits). Covers iterative methods of solution of systems of linear equations, numerical methods for computing eigenvalues and eigenvectors, and singular value methods for least-squares problems. (Prerequisite: MTH 5301.)
College: College of Sci. & Liberal Arts
Department:Mathematical Sciences
MTH 5310 - Num Meth for Ordinary Diff Equ
Credits: 3.00
Numerical Methods for Ordinary Differential Equations (3 credits). Numerical methods for initial value problems, boundary value problems and eigenvalue problems for ordinary differential equations. Runge-Kutta methods, multistep and adaptive methods, stiff equations and A-stable methods, collocation. (Prerequisite: MTH 5301.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 5315 - Num Meth for Partial Diff Equ
Credits: 3.00
Numerical Methods for Partial Differential Equations (3 credits). Covers finite difference and finite element methods for partial differential equations. (Prerequisites: MTH 3201, MTH 5301.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 5320 - Neural Networks
Credits: 3.00
Neural Networks (3 credits). Introduction to architectures, algorithms and applications. Topics include single and multilayer perceptrons, counterpropagation, Kohonen self-organization, adaptive resonance theory, neocognitron, probabilistic neural networks and Boltzmann machines with and without learning, recurrent neural networks. (Prerequisites: MTH 2001, MTH 2201 and CSE 1502, CSE 1503 or CSE 2050.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
Restrictions: May not be enrolled in one of the following Level(s):
Undergraduate
MTH 5401 - App Statistical Analysis
Credits: 3.00
Applied Statistical Analysis (3 credits). Covers statistical distributions, statistical tests for data, least squares and regression, estimations, tests of hypotheses, analysis of variance, planning and designing research experiments, randomized blocks, Latin and Graeco-Latin squares and data reduction, analysis using ANOVA (analysis of variance) and other methods. (Prerequisite: MTH 2001.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 5411 - Mathematical Statistics 1
Credits: 3.00
MTH 5411, MTH 5412 Mathematical Statistics 1, 2 (3, 3 credits). Introductory survey of the basic concepts of probability and statistics. Topics include sample spaces, random variables and distributions, moments, statistics, estimation, tests of hypotheses and regression analysis. (Prerequisites: Undergraduate courses in multivariable calculus and linear algebra.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
Restrictions: May not be enrolled in one of the following Level(s):
Undergraduate
MTH 5412 - Mathematical Statistics 2
Credits: 3.00
MTH 5411, MTH 5412 Mathematical Statistics 1, 2 (3, 3 credits). Introductory survey of the basic concepts of probability and statistics. Topics include sample spaces, random variables and distributions, moments, statistics, estimation, tests of hypothesesand regression analysis. (Prerequisites: Undergraduate courses in multivariable calculus and linear algebra.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 5420 - Theory Stochastic Process
Credits: 3.00
Theory of Stochastic Processes (3 credits). Course includes discrete- and continuous-time stochastic processes, point and counting processes and Poisson counting process; as well as compound Poisson process, nonstationary Poisson process, renewal theory, regenerative processes and Markov chains. (Prerequisite: MTH 5411.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 5425 - Theory Stochastic Siganals
Credits: 3.00
Theory of Stochastic Signals (3 credits). A study of the Wiener process, stationary and weakly stationary processes, white noise processes, stochastic differential equations, spectral theory of stationary processes, linear filtering problems, Hilbert spaces, autoregressive processes and mean square error prediction. (Prerequisite: Permission of the instructor.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
Restrictions: May not be enrolled in one of the following Level(s):
Undergraduate
MTH 5430 - Queuing Theory
Credits: 3.00
Queueing Theory (3 credits). Includes queueing processes: imbedded and continuous time parameter processes; Markov, semi-Markov and semi-regenerative processes; single-server and multiserver queues; and processes of servicing unreliable machines. Controlled stochastic models. (Prerequisite: MTH 5411.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 5999 - Thesis in Mathematics
Credits: .00 to 6.00
Thesis in Mathematics (3 credits). Individual work under the direction of a member of the graduate faculty, on a selected topic in the field of mathematics. (Prerequisite: Permission of the instructor.) (Six hours maximum credit.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 6050 - Res in Appld Mathematics
Credits: 1.00 to 6.00
Research in Applied Mathematics (1-6 credits). Research is conducted under the guidance of a member of the faculty in a selected area of mathematics. (Prerequisite: Permission of the instructor.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
Restrictions: May not be enrolled in one of the following Level(s):
Undergraduate
MTH 6100 - Sel Top Nonlinear Analysis
Credits: 3.00
Selected Topics in Nonlinear Analysis (3 credits). Advanced topics in nonlinear analysis with emphasis on recent developments. The contents of this course may vary depending on the needs and interests of the student and the fields of expertise of the faculty. (Prerequisite: Permission of the instructor.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
Restrictions: May not be enrolled in one of the following Level(s):
Undergraduate
MTH 6200 - Sel Top Applied Analysis
Credits: 3.00
Selected Topics in Applied Analysis (3 credits). Advanced topics in applied analysis with emphasis on recent developments. Contents vary depending on the needs and interests of the student and the fields of expertise of the faculty. (Prerequisite: Permission of the instructor.)
College: College of Engineering
Department: Mathematical Sciences
MTH 6300 - Sel Top Num/Computa Math
Credits: 3.00
Selected Topics in Numerical and Computational Mathematics (3 credits). Advanced topics in numerical and computational mathematics with emphasis on recent developments. Contents may vary depending on the needs and interests of the student and the fields of expertise of the faculty. (Prerequisite: Permission of the instructor.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 6350 - Sel Top Parallel Process
Credits: 3.00
Special Topics in Parallel Processing (3 credits). Specific contents may vary, but the focus will be on selected aspects of parallel processing algorithms and architectures. (Prerequisite: Permission of the instructor.)
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
MTH 6999 - Dissertation Research
Credits: .00 to 6.00
Dissertation Research (3 credits). The student researches and prepares the doctoral dissertation. (Prerequisite: Permission of the instructor.)Ocean Engineering
College: College of Sci. & Liberal Arts
Department: Mathematical Sciences
Restrictions: May not be enrolled in one of the following Level(s):
Undergraduate
Release: 3.2.3.1
