Courses
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Graduate Level Courses Description
Descriptions | Schedule
Mathematics:
| MATH 6010 - MATHEMATICAL BIOLOGY |
| Mathematical Biology. Prerequisite: Math 2212 or Math 1220 with grade of C or higher. This course provides an introduction to the use of continuous and discrete differential equations in the biological sciences. Biological topics will include single species and interacting population dynamics, modeling infectious and dynamic diseases, regulation of cell function, molecular interactions and receptor-ligand binding, biological oscillators, and an introduction to biological pattern formation. There will also be discussions of current topics of interest such as Tumor Growth and Angiogenesis, HIV and AIDS, and Control of the Mitotic Clock. Mathematical tools such as phase portraits, bifurcation diagrams, perturbation theory, and parameter estimation techniques that are necessary to analyze and interpret biological models will also be covered. 3.000 Credit Hours |
| MATH 6211 - OPTIMIZATION |
| Optimization. Prerequisite: Math 2215. Lagrange multipliers, gradient methods (steepest descent), search techniques, variational methods and control problems; varying other topics such as dynamic programming, nonlinear programming. 3.000 Credit Hours |
| MATH 6250 - COMPLEX ANALYSIS |
| Complex Analysis. Prerequisite: Math 3000. Complex numbers, analytic functions, complex series, Cauchy theory, residue calculus, conformal mapping. 3.000 Credit Hours |
| MATH 6253 - INTRO TO OPERATIONS RESEARCH |
| Introduction to Operations Research. Prerequisite: Math 3030 or 3435. Linear programming, the simplex method, network theory, game theory, Markov analysis, and other topics such as inventory analysis, queueing theory, integer programming. 3.000 Credit Hours |
| MATH 6258 - VECTOR CALCULUS |
| Vector Calculus. Prerequisite: Math 2215. (Same as Phys 6510.) Vector algebra, curvilinear motion, vector fields, gradient, divergence, Laplacian, line and surface integrals, integral theorems. 3.000 Credit Hours |
| MATH 6265 - PARTIAL DIFFERENTIAL EQUATIONS |
| Partial Differential Equations. Prerequisite: A course in ordinary differential equations. (Same as Phys 6520.) First-order equations, classification of linear second-order equations, separation of variables, Fourier series, orthogonal functions, Green's functions. 3.000 Credit Hours |
| MATH 6275 - APPLIED DYNAMICAL SYSTEMS |
| Applied Dynamical Systems. Three lecture hours per week. An introduction to discrete and continuous dynamical systems. Topics include: phase space; linear and nonlinear systems; structural stability; classification of equilibrium states, invariant manifolds; poincare maps, fixed points and periodic orbits; stability boundaries; local bifurcations; homoclinic orbits; routes to chaos in dissipative systems; applications from physics, biology, population dynamics, economics. 3.000 Credit Hours |
| MATH 6301 - COLLEGE GEOMETRY |
| College Geometry. Prerequisite: Math 3000 with grade of C or higher. Axioms of planar Euclidean Geometry. The 5th postulate. Congruence and Similarity. Theorem of Thales. Similar Triangles: SAS, AA, and SSS. Theorem of Ceva. The Pythagorean Theorem. Polgyons. Circles, secants, and tangents, measurement of an angle with respect to a circle. Perimeters, areas, circumference. Inscribed and circumscribed polygons. Coordinate Geometry in the plane. Mirror symmetries, rotations, translations, and dilations. Isometries and the fundamental theorem of Euclidean Geometry. Transformations in the plane and tessellations. 3.000 Credit Hours |
| MATH 6371 - MODERN GEOMETRY |
| Modern Geometry. Prerequisite: Math 3000. Euclidean and non-Euclidean geometry, including incidence, order, and the parallel postulate. 3.000 Credit Hours |
| MATH 6381 - GENERAL TOPOLOGY |
| General Topology. Prerequisite: Math 4441 or Math 6441 with grade of C or higher. This course is an introduction to the fundamental concepts of point-set topology. Topics to be covered: review of aspects of set theory and logic; topological spaces and continuous functions (basis for a topology, product topology, basis for a topology, order topology, subspace topology, metric topology, quotient topology, homeomorphisms), connectedness and compactness in topological spaces, separation axioms, the fundamental group (homotopy of paths, covering spaces, the fundamental group of the circle, retractions and fixed points). 3.000 Credit Hours |
| MATH 6391 - INTRO TO DIFFERENTIAL GEOMETRY |
| Introduction to Differential Geometry and its Applications. Prerequisite: Math 2215. (Same as Phys 6391.) Three lecture hours a week. The theory of curves and surfaces in parametric and implicit form. Curvature and torsion of a curve; the shape operator and the total and mean curvature of a surface. The Gauss-Weingarten equations; the Egregium Theorem; surfaces of constant curvature and non-Euclidean geometry. Minimal surfaces; the Gauss Bonnet Theorem; submanifolds in Euclidian spaces, vector fields, differential forms, and the theorems of Frobenius and Stokes. Applications to Physics. 3.000 Credit Hours |
| MATH 6420 - GRAPH THEORY |
| Graph Theory. Prerequisite: Math 3000. Introduction to graph theory; topics include structure of graphs, trees, connectivity, Eulerian and Hamiltonian graphs, planar graphs, graph colorings, matchings, independence, and domination. Additional topics may include symmetry of graphs, directed graphs, extremal graph theory and Ramsey theory, graph embeddings, and probabilistic methods in graph theory. 3.000 Credit Hours |
| MATH 6435 - LINEAR ALGEBRA |
| Linear Algebra. Prerequisite: Math 3435. Theory and application of matrix algebra, vector spaces and linear transformations; topics include characteristic values, the spectral theorem, and orthogonality. 3.000 Credit Hours |
| MATH 6441 - MODERN ALGEBRA I |
| Modern Algebra I. Prerequisite: Math 3435 with grade of C or higher. Axiomatic approach to algebraic structures, groups, permutations, homomorphisms, and factor groups. 3.000 Credit Hours |
| MATH 6442 - MODERN ALGEBRA II |
| Modern Algebra II. Prerequisite: Math 4441/6441. Rings, integral domains, and fields; polynomials over a field, matrices over a field, algebraic numbers and ideals. 3.000 Credit Hours |
| MATH 6444 - POLYNOMIALS |
| Polynomials. Prerequisite: Math 3000 with grade of C or higher. Three lecture hours a week. The topic of polynomials is one of the oldest in mathematics and has applicability to almost every area of mathematics. The course will use algebra and analysis to study polynomials. Among topics to be covered: roots of polynomials (inequalities, relationship between the root of a polynomial and its derivative), resultants, discriminant, irreducible polynomials, special classes of polynomials (symmetric, cyclotomic, Chebysev). 3.000 Credit Hours |
| MATH 6450 - THEORY OF NUMBERS |
| Theory of Numbers. Prerequisite: Math 3000. Properties of integers, divisibility, congruence of numbers. Lagrange's theorem, residues, Diophantine problems. 3.000 Credit Hours |
| MATH 6455 - ERROR CORRECTING CODES |
| Error Correcting Codes. Prerequisite: Math 3030 or Math 3435. Three lecture hours a week. This course provides and elementary, yet rigorous introduction to the theory of error correcting codes. Topics include survey of groups, finite fields and polynomials, linear algebra, Huffman codes, data compression and entropy, linear codes, Reed-Muller codes, cyclic codes, BCH codes, and fast decoding BCH codes. 3.000 Credit Hours |
| MATH 6460 - CRYPTOGRAPHY |
| Cryptography. Prerequisites: Math 3030 or Math 3435, and the ability to program in a high-level language. Three lecture hours a week. This course covers the mathematical background of computational and algorithmic methods for cryptography. This includes information theory, computational complexity and number theory. Methods covered include public key cryptosystems and secure methods for authentication and digital signatures. 3.000 Credit Hours |
| MATH 6544 - BIOSTATISTICS |
| Biostatistics. Prerequisites: Biol 1107K, 1108K, and Math 2211. Principles and methods of statistics as applied to biology and medicine. 3.000 Credit Hours |
| MATH 6547 - INTRO TO STATISTICAL METHODS |
| Introduction to Statistical Methods. Prerequisite: a course in calculus. Data analysis, sampling, and probability; standard methods of statistical inference, including t-tests, chi-square tests, and nonparametric methods. Applications include use of a statistical computer package. 3.000 Credit Hours |
| MATH 6548 - METHDS REGRESSN/ANALYS OF VARI |
| Methods of Regression and Analysis of Variance. Prerequisites: a course in calculus and a course covering methods of statistical inference. Simple and multiple regression, model selection procedures, analysis of variance, simultaneous inference, design and analysis of experiments. Applications include use of a statistical computer package. 3.000 Credit Hours |
| MATH 6610 - NUMERICAL ANALYSIS I |
| Numerical Analysis I. Prerequisites: Math 2215 and the ability to program in a high-level language. (Same as CSc 6610.) Nature of error; iteration; techniques for nonlinear systems; zeros of functions; interpolation; numerical differentiation; Newton-Cotes formulae for definite integrals; computer implementation of algorithms. 3.000 Credit Hours |
| MATH 6620 - NUMERICAL ANALYSIS II |
| Numerical Analysis II. Prerequisites: Math 3030 or 3435, and the ability to program in a high-level language. (Same as CSc 6620.) Gaussian Elimination for linear systems; least squares; Taylor, predictor-corrector and Runge-Kutta methods for solving ordinary differential equations; boundary value problems; partial differential equations. 3.000 Credit Hours |
| MATH 6650 - INVERSE AND ILL-POSED PROBLEMS |
| Inverse and Ill-Posed Problems. Prerequisite: Math/CSc 6610 or Math/CSc 6620. Three lecture hours a week. Ill-posed problems that arise in astrophysics, geophysics, spectroscopy, computerized tomography, and other areas of science and engineering are considered in this course. Topics to be covered: a general regularization theory; variational regularization and the discrepancy principle; iterative regularization; convergence analysis and stopping rules; numerical aspects. 3.000 Credit Hours |
| MATH 6661 - ANALYSIS I |
| Analysis I. Prerequisite: Corequisite: 4435/6435. The real number system, basic topology of metric spaces, sequences and series, limits and continuity. 3.000 Credit Hours |
| MATH 6662 - ANALYSIS II |
| Analysis II. Prerequisite: Math 4661/6661 with grade of C or higher. Differentiation of real functions, Riemann integrals, sequences and series of functions, differentiation and integration of functions of several variables. 3.000 Credit Hours |
| MATH 6671 - TRANSFORMS IN APPLIED MATH |
| Transforms in Applied Mathematics. Prerequisite: Math 3030 or Math 3435. The Laplace transform, discrete and continuous Fourier Transforms, z-transforms, discrete filters, and wavelets. 3.000 Credit Hours |
| MATH 6751 - MATHEMATICAL STATISTICS I |
| Mathematical Statistics I. Prerequisite: Math 2215. Probability, random variables and their distributions, mathematical expertation, moment generating functions, sampling distributions. 3.000 Credit Hours |
| MATH 6752 - MATHEMATICAL STATISTICS II |
| Mathematical Statistics II. Prerequisite: Math 4751/6751. Theory of estimation and hypothesis testing, applications of statistical inference, introduction to regression and correlation. 3.000 Credit Hours |
| MATH 6767 - STATISTICAL COMPUTING |
| Statistical Computing. Prerequisites: Math 4752/6752 or 4548/6548 and 3435, and the ability to program in a high-level language. Computational implementation of statistical methods such as descriptive statistics, one and two sample t tests, regression, correlation, ANOVA methods of estimation, and Monte Carlo techniques. Standard statistical packages will be used as well as user-written programs. 3.000 Credit Hours |
| MATH 7120 - FUNDEMNTL CONCEPTS OF ANALYSIS |
| Fundamental Concepts of Analysis. Prerequisite: Math 2215. Designed to give a unified perspective to the concepts of function, limit, continuity, and derivative by studying them in various settings including vector valued functions, complex functions, and sequences of real valued functions of a real variable. This course is for high school mathematics teachers in the M.A.T. or M.Ed. programs who have had a full sequence of calculus courses and a first course in linear algebra. 3.000 Credit Hours |
| MATH 7300 - PROBLEM SOLVING WITH COMPUTERS |
| Problem Solving with Computers. Prerequisite: Math 3000. Three lecture hours a week. This course explores various mathematical contexts and develops mathematical knowledge necessary to solve, or attempt to solve, mathematical problems in the computer enhanced environment. The problems come from many sources and contexts. Computer programs such as Maple, Matlab, spreadsheets, Geometer's Sketch Pad, Study Works, etc. will be used. No previous experience with computers is required. 3.000 Credit Hours |
| MATH 7420 - APPLIED COMBINATORICS |
| Applied Combinatorics. Prerequisite: Math 2212 or Math 2420 with grade of C or higher. Counting principles including combinations, permutations, generating functions, recurrence relations, the principle of inclusion exclusion, and Polya's theory of counting. This course is for high school mathematics teachers in the M.A.T. or M.Ed. programs who have had a full sequence of calculus courses and a first course in linear algebra. 3.000 Credit Hours |
| MATH 7800 - TOPICS IN SECONDARY MATH |
| Topics in Secondary Mathematics. May be taken more than once if topics are different. 3.000 Credit Hours |
| MATH 7820 - HIST/CULTURL DEVLPMT OF MATH I |
| Historical and Cultural Development of Mathematics I. Three lecture hours a week. Exploration of the historical and cultural development of mathematics between ~3000 B.C. and ~1600 A.D. Mathematics topics to include the development of arithmetic, geometry (practical, deductive, and axiomatic), number theory, trigonometry, syncopated and symbolic algebra, probability, and statistics. This course is for high school mathematics teachers in the M.A.T. or M.Ed. programs who have had a full sequence of calculus courses and a first course in linear algebra. 3.000 Credit Hours |
| MATH 7821 - HIST/CULTRL DEVLPMT OF MATH II |
| Historical and Cultural Development of Mathematics II. Prerequisite: Math 3000 with grade of C or higher. Three lecture hours a week. Exploration of the historical and cultural development of mathematics from ~A.D. 1600 to the present. Mathematics topics to include the development of algebraic geometry, logarithms, calculus, non-Euclidean geometry, abstract algebra, probability, and analysis. 3.000 Credit Hours |
| MATH 7840 - MATHEMATICAL MODELS |
| Mathematical Models. Prerequisite: Math 3435. Use of mathematical models to solve problem situations arising in the natural, social, engineering, and business sciences. This course is for high school mathematics teachers in the M.A.T. or M.Ed. programs who have had a full sequence of calculus courses and a first course in linear algebra. 3.000 Credit Hours |
| MATH 8110 - REAL ANALYSIS I |
| Real Analysis I. Prerequisite: Math 4662/6662. Topological and metric spaces, measures, and abstract integration. 3.000 Credit Hours |
| MATH 8120 - REAL ANALYSIS II |
| Real Analysis II. Prerequisite: Math 8110. Topics include: function spaces, general measure and integration theory, elements of Banach and Hilbert space theory. 3.000 Credit Hours |
| MATH 8200 - ADVANCED MATRIX ANALYSIS |
| Advanced Matrix Analysis. Prerequisite: Math 4435/6435. Topics oriented to applications of linear algebra; topics may include Jordan canonical form, variational characterizations of simultaneous diagonalization, eigenvalue location and Gersgorin theory, positive definite matrices, nonnegative matrices, and the Person-Frobenius theorem. 3.000 Credit Hours |
| MATH 8201 - COMBINATORIAL MATRIX THEORY |
| Combinatorial Matrix Theory. Prerequisite: Math 8200 with grade of C or higher. The course covers the basic results and methods of combinatorial matrix theory. It is concerned with the use of matrix theory and linear algebra in providing combinatorial theorems and in describing and classifying combinatorial constructions. The course includes a lot of graph theory, in particular, matrix connections with undirected graphs, bipartite graphs, directed graphs, and special graphs. 3.000 Credit Hours |
| MATH 8210 - TOPICS APPLIED MATRIX ANALYSIS |
| Topics in Applied Matrix Analysis. Prerequisite: Math 8200 with grade of C or higher. Applications of selected topics in matrix analysis to other areas of mathematics, as well as statistics, engineering, biology, physics, computational and social sciences are considered in this course. The course covers topics such as: Boolean matrices with applications; Generalized inverses; Applications of the Singular Value Decomposition (SVD); Matrix inequalities with applications; Semidefinite programming. The course may be taken more than once if topics vary. 3.000 Credit Hours |
| MATH 8220 - ABSTRACT ALGEBRA |
| Abstract Algebra. Prerequisite: Math 4442/6442 with grade of C or higher. Advanced topics from groups, rings, modules, and fields including applications to combinatorics and coding theory. 3.000 Credit Hours |
| MATH 8221 - ABSTRACT ALGEBRA II |
| Abstract Algebra II. Prerequisite: Math 8220 with grade of C or higher. A continuation of Math 8220, this course covers module theory, theory of multilinear forms and determinants, finitely generated modules over Principal Ideal Domains and other advanced topics in abstract algebra. 3.000 Credit Hours |
| MATH 8230 - TOPICS IN ALGEBRA |
| Topics in Algebra. May be taken more than once if topics are different. 3.000 Credit Hours |
| MATH 8240 - COMMUTATIVE ALGEBRA/GEOMETRY |
| Introduction to Commutative Algebra and Algebraic Geometry. Prerequisite: Math 8220 with grade of C or higher. The course provides a rigorous foundation in commutative algebra and algebraic geometry. Topics such as algebraic varieties, Zariski topology, localization, dimension theory will be covered. 3.000 Credit Hours |
| MATH 8250 - COMMUTATIVE RING THEORY |
| Commutative Ring Theory. Prerequisite: Math 8220 with grade of C or higher. This course studies main classes of rings in commutative algebra such as regular rings, Cohen-Macaulay rings, Gorenstein rings. The topics involve depth, projective dimension, injective dimension, local cohomology, Hilbert-Samuel multiplicity and other advanced concepts in commutative algebra. 3.000 Credit Hours |
| MATH 8310 - THEORY FUNCTNS COMPLEX VARIABL |
| Theory of Functions of a Complex Variable. Prerequisite: Math 4662/6662. Basic theory of complex numbers and of analytic functions, conformal mapping, integration, power series, theory of residues, analytic continuation, theory of singularities, univalent functions, multiple-valued functions, Riemann surfaces. 3.000 Credit Hours |
| MATH 8320 - FUNCTIONAL ANALYSIS |
| Functional Analysis. Prerequisite: Math 8110 with grade of C or higher. This course is an introduction to the fundamental concepts of functional analysis and operator theory. Its topics include: Hilbert spaces, Banach spaces, Frechet spaces, bounded linear operators on Banach spaces, Riesz and Fredholm theory of compact operators, the spectral theorem for normal operators, the three pillars of linear analysis (Hahn-Banach, open mapping, Banach-Steinhaus theorems), Krein-Milman theorem, Gelfand's theory of commutative C*-algebras. 3.000 Credit Hours |
| MATH 8420 - ADVANCED GRAPH THEORY |
| Advanced Graph Theory. Prerequisite: Math 6420. Advanced topics in graph theory that may include symmetry of graphs, directed graphs, graph embeddings, graph colorings, matchings, factors, decompositions, domination, extremal graph theory, Ramsey Theory, and probabilistic methods in graph theory. 3.000 Credit Hours |
| MATH 8440 - COMBINATORICS |
| Combinatorics. Prerequisite: Math 6420. Topics in combinatorics that may include enumeration techniques, principle of inclusion exclusion, partitions, recurrence relations, generating functions, Mobious inversion, Ramsey numbers, finite geometries, block designs, error correcting codes. 3.000 Credit Hours |
| MATH 8450 - PROBABILISTIC COMBINATORICS |
| The Probabilistic Method in Combinatorics. Prerequisite: Math 8440 with grade of C or higher. This advanced course discusses the probabilistic method on combinatorics. Topics include linearity of expectation, the second moment method, the local lemma, correlation inequalities, martingales, large deviation inequalities, pseudo-randomness and random graphs. 3.000 Credit Hours |
| MATH 8510 - APPLIED MATHEMATICS |
| Applied Mathematics. Prerequisite: Math 4661/6661. Topics in mathematics applicable to natural and social sciences, engineering, business, or the arts. Topics selected from differential and difference equations, integral equations, transform theory, numerical analysis, approximation theory, optimization and calculus of variations, and continuum mechanics. 3.000 Credit Hours |
| MATH 8515 - DYNAMICAL FOUNDATIONS OF NEUROSCIENCE |
| Dynamical Foundations of Neuroscience. Prerequisite: Math 4010/6010, Math 4275/6275, or Phys 4180/6180 with grade of C or higher. This course deals with computational and mathematical neuroscience with the emphasis on models of neurons and neural networks described in terms of dynamical systems, time continuous and discrete. Topics include biophysics and dynamics of single and coupled neurons, bifurcations and transitions between various types of neuronal activities; modeling of synapses, dendrites and axons; locomotion and small networks; neural coding in single cells and at the population level; dynamics of large networks, including spike computing with population codes; networks learning and behavioral changes. 3.000 Credit Hours |
| MATH 8520 - APP COMBINATRCS & GRAPH THEORY |
| Applied Combinatorics and Graph Theory. Prerequisite: CSc 6520. (Same as CSc 8520.) Development of combinatorial and graphical algorithms. Techniques for the study of complexity with application to algorithms in graph theory, sorting and searching. 3.000 Credit Hours |
| MATH 8530 - TOPICS IN APPLIED MATH |
| Topics in Applied Mathematics. May be taken more than once if topics are different. 3.000 Credit Hours |
| MATH 8540 - ORD DIFF EQUAT & DYN SYSTEMS |
| Advanced Topics in Ordinary Differential Equations and Dynamic Systems. Prerequisite: Math 4275 or 6275 with grade of C or higher. (Same as Phys 8540.) This course is a graduate-level presentation of the mathematical theory of ordinary differential equations and nonlinear dynamical systems. It is designed for students who want to study the advanced topics of qualitative theory of ordinary differential equations and do research in dynamical systems Topics include existence and uniqueness theorems; IVP and Picard iterates; stability; variational equation and Floquet theory; Jordan normal form; the center manifold theorem; relaxation oscillations and method of averaging; Smale horseshoe and transverse homoclinic orbits; Lyapunov exponents and topological entropy. 3.000 Credit Hours |
| MATH 8610 - ADVANCED NUMERICAL ANALYSIS |
| Advanced Numerical Analysis. Prerequisites: Math 4435/6435 and Math 4610/6610 or CSc 4610/6610. (Same as CSc 8610.) Advanced topics in numerical analysis. Stability and conditioning, discretization error, convergence. Examples are drawn from linear algebra, differential and nonlinear equations. 3.000 Credit Hours |
| MATH 8620 - NUMERICAL LINEAR ALGEBRA |
| Numerical Linear Algebra. Prerequisites: Math 4435/6435; and Math 4610/6610 or CSc 4610/6610. (Same as CSc 8620.) Computational aspects of linear algebra. Matrix factorization, least squares, orthogonal transformations, eigen-values; and methods for sparse matrices. 3.000 Credit Hours |
| MATH 8800 - TOPICS IN MATHEMATICS |
| Topics in Mathematics. May be taken more than once if topics are different. 3.000 Credit Hours |
| MATH 8801 - GRADUATE RESEARCH IN MATH |
| Graduate Research in Mathematics. May be repeated for credit. 1.000 TO 15.000 Credit Hours |
| MATH 8802 - GRADUATE LAB IN MATHEMATICS |
| Graduate Laboratory in Mathematics. May be repeated for credit. 1.000 TO 15.000 Credit Hours |
| MATH 8820 - RESEARCH |
| Research. Prerequisite: consent of the instructor and chair of department. Independent investigation of topics of common interest to student and instructor. 3.000 Credit Hours |
| MATH 8950 - DIRECTED RESEARCH IN MATH |
| Directed Research in Mathematics. Prerequisite: consent of the instructor. 1.000 TO 15.000 Credit Hours |
| MATH 8999 - THESIS RESEARCH |
| Thesis Research. Prerequisite: thesis option. 1.000 TO 15.000 Credit Hours |
| MATH 9116 - TEACHING COLLEGE MATHEMATICS |
| Teaching College Mathematics. Prerequisite: consent of instructor. Research-based investigation of teaching college-level mathematical sciences courses: placement, prerequisites, remedial courses, services courses, preparing syllabi, grading, technology, pedagogical strategies. 3.000 Credit Hours |
| MATH 9126 - EPISTEMOLOGY ADV MATH CONCEPTS |
| Epistemology of Advanced Mathematics Concepts. Prerequisite: consent of instructor. An investigation of various epistemological frameworks in the context of collegiate level mathematics courses. Constructivism, Platonism, Cognitivism, Empiricism, and Information Processing. Comparison of the epistemologies as as they apply to post-secondary mathematics concepts. 3.000 Credit Hours |
| MATH 9166 - INTERNSHIP: TEACHING COLL MATH |
| Internship in Teaching College Mathematics. Prerequisites: consent of instructor and approval to teach in the Department of Mathematics and Statistics. Teaching of at least one undergraduate mathematics course using at least two distinct pedagogical strategies. 3.000 Credit Hours |
| MATH 9185 - RESEARCH SEM: UNDER MATH EDUC |
| Research Seminar in Undergraduate Mathematics Education. Prerequisite: consent of instructor. Student will read, discuss, and report on current publications in the field. Can be taken more than once for credit. 3.000 Credit Hours |
Statistics:
| STAT 7010 - BIOSTAT FOR PUBLIC HEALTH |
| Biostatistics for Public Health. Prerequisites: a college-level algebra course and a statistics or a research design course. Three lecture hours a week. An introduction to biostatistics covering topics of interest for public health fields, including descriptive statistics, proportions, relative risks, probability, estimation and hypothesis testing applications, regression, and categorical data analysis. Applications will include use of the statistical software SAS. 3.000 Credit Hours |
| STAT 8050 - STATISTICS FOR BIOINFORMATICS |
| Statistics for Bioinformatics. Prerequisite: Math 4544/6544 or Biol 4744/6744, or its equivalent. (Same as Biol 8050 and CSc 8050.) Three lecture hours per week. Introduction of computational biology and microarray informatics, gene expression analysis using microarray for transcriptional profiling, use of multivariate statistics and computer algorithms for different clustering techniques, important role of statistical packages, algorithms for calculating statistical quantities, and statistical research in the area. 3.000 Credit Hours |
| STAT 8090 - APPLIED MULTIVARIATE STATISTCS |
| Applied Multivariate Statistics. Prerequisite: consent of the instructor. Matrix algebra, Multivariate normal distributions, discriminant analysis, canonical correlations, and Multivariate analysis of variance. 3.000 Credit Hours |
| STAT 8440 - SURVIVAL ANALYSIS |
| Survival Analysis. Prerequisite: Math 4752/6752. Topics included are survival function, hazard function, right censoring, nonparametric methods for comparing two survival distributions, parametric and nonparametric regression methods with survival data. 3.000 Credit Hours |
| STAT 8540 - ADV METHODLGS IN BIOSTATISTICS |
| Advanced Methodologies in Biostatistics. Prerequisites: Math 6752. Topics included are clinical trials, longitudinal data analysis, Bayesian method, and diagnosis. 3.000 Credit Hours |
| STAT 8561 - LINEAR STATISTICAL ANALYSIS I |
| Linear Statistical Analysis I. Prerequisite: Math 4751/6751. Topics included are statistical inference, Multivariate normal distribution, distribution of quadratic forms, linear models, regression models and experimental design models. 3.000 Credit Hours |
| STAT 8562 - LINEAR STATISTICAL ANALYSIS II |
| Linear Statistical Analysis II. Prerequisite: Math 4752/6752. Topics included are statistical inference, Multivariate normal distribution, distribution of quadratic forms, linear models, regression models and experimental design models. 3.000 Credit Hours |
| STAT 8581 - STATISTICAL THEORY I |
| Statistical Theory I. Prerequisite: Math 4752/6752. Classical and modern statistics, probability, decision theory, estimation theory, testing hypotheses, confidence intervals, large sample theory, and sequential analysis. 3.000 Credit Hours |
| STAT 8582 - STATISTICAL THEORY II |
| Statistical Theory II. Prerequisite: Stat 8581. Classical and modern statistics, probability, decision theory, estimation theory, testing hypotheses, confidence intervals, large sample theory, and sequential analysis. 3.000 Credit Hours |
| STAT 8600 - PROBABILITY THEORY |
| Probability Theory. Prerequisite: Math 4752/6752. Random variables and expectations, distribution and characteristic functions, laws of large numbers and central limit theorem, conditional probability, and expectation. 3.000 Credit Hours |
| STAT 8610 - TIME SERIES ANALYSIS |
| Time Series Analysis. Prerequisite: Math 4752/6752. Introduction to stationary stochastic processes, spectral representations; Box-Jenkins time series models; forecasting methods. Applications include use of a statistical computer package. 3.000 Credit Hours |
| STAT 8630 - EXPERIMENTAL DESIGNS |
| Experimental Designs. Prerequisite: Math 4752/6752. Analysis of randomized and incomplete block designs; factorial and nested designs using fixed, random, and mixed effects models. Applications include use of a statistical computer package. 3.000 Credit Hours |
| STAT 8650 - MULTIVARIATE ANALYSIS |
| Multivariate Analysis. Prerequisite: Math 4752/6752. Multivariate normal distribution and related distributions, multiple regression, canonical correlations, Multivariate analysis of variance, discriminant functions, and factor analysis. 3.000 Credit Hours |
| STAT 8660 - STAT OF DIR, SHAPES AND IMAGES |
| Statistical Analysis of Directions, Shapes and Images. Prerequisite: consent of instructor. Three lecture hours a week. Methods of statistical analysis of digitized data with applications from natural images common in science and medicine. Distributions on shape spaces and projective shape spaces. High-level image analysis using large sample, bootstrap, Bayesian, and simulation methods. Scanning, landmarks, and triangulations. Applications include use of imaging and statistical software. 3.000 Credit Hours |
| STAT 8670 - COMPUTATIONAL METHODS IN STAT |
| Computational Methods in Statistics. Prerequisites: Math 4752/6752, and the ability to program in a high-level language. Numerical stability of statistical package program algorithms for general linear models; influential observations; principles of Monte Carlo methods; cross-validation, jackknife, and bootstrap methods of data analysis with applications to regression and discriminant analysis; and use of a statistical computer package. 3.000 Credit Hours |
| STAT 8674 - MONTE CARLO METHODS |
| Monte Carlo Methods. Prerequisite: Math 6752 with grade of C or higher. Topics included are the Monte Carlo method for integration, Metropolis-Hastings algorithms, the Gibbs sampler and other Markov chain-based methods, importance sampling, simulated tempering, perfect sampling, and other related subjects. Some applications will be illustrated by real examples. Applications include use of a statistical computer package. 3.000 Credit Hours |
| STAT 8678 - SAS PROGRAMMING |
| SAS Programming. A comprehensive overview of programming using the SAS statistical software package. Topics included are data management, matrix operations, descriptive and inferential statistics, macro programming and graphs. 3.000 Credit Hours |
| STAT 8680 - APPLIED NONPARAMETRIC METHODS |
| Applied Nonparametric Methods. Prerequisite: Math 4752/6752. Three lecture hours a week. Nonparametric testing and estimation procedures are introduced. Topics include rank methods for one sample and two sample problems, rank tests for one-way layouts, linear regression and independence problems, robust estimates, goodness-of-fit test, U-statistics, recent developments in nonparametric statistics. 3.000 Credit Hours |
| STAT 8690 - TOPICS IN STATISTICS |
| Topics in Statistics. May be repeated for credit if topics vary. 3.000 Credit Hours |
| STAT 8691 - GRADUATE RESEARCH IN STATS |
| Graduate Research in Statistics. May be repeated for credit. 1.000 TO 15.000 Credit Hours |
| STAT 8692 - GRADUATE LAB IN STATISTICS |
| Graduate Laboratory in Statistics. May be repeated for credit. 1.000 TO 15.000 Credit Hours |
| STAT 8700 - CATEGORICAL DATA ANALYSIS |
| Categorical Data Analysis. Prerequisite: Math 4752 or 6752. Analysis of Multinomial Data and Contingency tables, loglinear model for count data, model selection procedures; applications include use of statistical software packages, like SAS and S+. 3.000 Credit Hours |
| STAT 8760 - SAMPLE SURVEYS |
| Sample Surveys. Prerequisite: Math 4752/6752. Sampling from finite populations; random, stratified, cluster, and systematic sampling; estimation of means and variances; and ratio and regression sampling. 3.000 Credit Hours |
| STAT 8800 - STATISTICAL CONSULTING |
| Statistical Consulting. This course is designed to help students develop skills needed by a successful statistical consultant. Topics include consulting philosophy, effective problem identification, positive interaction with clients, and interpersonal communication skills, etc. This course provides students with experience in consulting on statistical problems with researchers in other disciplines. 2.000 Credit Hours |
| STAT 8820 - RESEARCH |
| Research. Prerequisite: consent of instructor and chair of department. Directed research leading to a research paper in statistics or analysis of a statistical problem. This course is intended to satisfy the requirement for a research paper or a written report of a laboratory experience for the non-thesis option. 3.000 Credit Hours |
| STAT 8900 - COLLOQUIUM |
| Colloquium. The course is to serve the need of graduate students who are ready to start research work. It provides students the opportunity to see a wide range of topics that are currently being studied by statisticians. It also helps students to learn the important elements of a successful professional talk and to develop skills of professional communication and presentation. 1.000 Credit Hours |
| STAT 8950 - DIRECTED RESEARCH IN STATISTIC |
| Directed Research in Statistics. Prerequisite: consent of the instructor. 1.000 TO 15.000 Credit Hours |
| STAT 8999 - THESIS RESEARCH |
| Thesis Research. Prerequisite: thesis option. 1.000 TO 18.000 Credit Hours |