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2018-2019 Graduate Catalog [ARCHIVED CATALOG]

Courses

Courses offered only online or both online and on-ground are indicated with (**)asterisks.
 

Mathematics
  

  • MATH 7034 - Special Topics in Mathematics

    (3) Directed individual study in a selected area of mathematics chosen in consultation with the instructor. Grades of S, U, or IP will be given.
  

  • MATH 7035 - Special Topics in Mathematics

    (3) Linear transformations polynomials, determinants, direct-sum decompositions diagonalizable operators, rational and Jordan form, inner product spaces, the spectral theorem
  

  • MATH 7036 - Special Topics in Mathematics

    (3) Groups, homomorphisms, rings, integral domains, fields, polynomials
  

  • MATH 7037 - Special Topics in Mathematics

    (3) The real number system, functions and sequences, limits, continuity, differentiation; Riemann-Stieltjes integration, series of functions
  

  • MATH 7038 - Special Topics in Mathematics

    (3) Integration theory; Riemann and Lebesgue integrals; partial differentiation; implicit function theorem Repeatable by permission
  

  • MATH 7039 - Special Topics in Mathematics

    (3) Complex numbers, analytic functions, Cauchy-Riemann conditions, Taylor and Laurent series, integration Repeatable by permission
  

  • MATH 7040 - Special Topics in Mathematics

    (3) Laplace transforms; Fourier series; introduction to partial differential equations Repeatable by permission
  

  • MATH 7041 - Special Topics in Mathematics

    (3) Methods of characteristics; Greens functions; existence and regularity of solutions of boundary value and Cauchy problems This course may not be repeated for credit
  

  • MATH 7042 - Special Topics in Mathematics

    (3) Asymptotic approximations, boundary layers, matched asymptotic expansions, multiple scales, geometric optics approximation (WKB), homogenization, application to differential equations Repeatable by permission
  

  • MATH 7043 - Special Topics in Mathematics

    (3) Introductory set theory, metric spaces, topological spaces, continuous functions, separation axioms, separability and countability axioms, connectedness, and compactness
  

  • MATH 7044 - Special Topics in Mathematics

    (3) SAS program statement syntax and flow control; selecting and summarizing observations; combining, dividing, and updating SAS dataset; input tailoring and output customization; SAS built-in functions; SAS Macro Language Programming; other SAS packages like SAS/GRAPH and SAS/IML NOTE: Introductory statistical courses are recommended.
  

  • MATH 7045 - Special Topics in Mathematics

    (3) One semester introductory course in the use of R programming language for data processing, visualization, and analysis of data
  

  • MATH 7046 - Special Topics in Mathematics

    (3) Binomial, hypergeometric, Poisson, multinomial and normal distributions; test of hypotheses, chi-square test, t-tests, F- test, etc.; nonparametric tests; correlation analysis May be repeated for a maximum of 6 credit hours when topics change
  

  • MATH 7047 - Special Topics in Mathematics

    (3) Probability distribution; statistical methods of parameter estimation and hypothesis testing; comparisons of two population means, proportions, and variances; analysis of variance, linear models, and multiple regression NOTE: Students may not receive credit for both MATH 6614  and MATH 6635 
  

  • MATH 7048 - Special Topics in Mathematics

    (3) Basic probability theory, random variables, discrete and continuous probability distributions, functions of one or more random variables, multivariate distributions including multinomial and bivariate normal distributions NOTE: Students may not receive credit for both MATH 6635  and MATH 6614  Repeatable by permission
  

  • MATH 7049 - Special Topics in Mathematics

    (3) Functions of two random variables; gamma, beta, multinomial, and bivariate normal distributions; Bayes estimators; maximum likelihood and method of moments estimators; sufficient statistics, unbiasedness, confidence intervals, and hypothesis testing
  

  • MATH 7171 - Wksp Middle Sch Math

    (3) This course is designed to provide in-service training, with emphasis on new course content.
  

  • MATH 7174 - Workshop Sr Hi Math

    (3) This course is designed to provide in-service training, with emphasis on transformation geometry.
  

  • MATH 7221 - Stat Gene Expression

    (3) Design of microarray experiements; normalization procedures for Oligonucleotide and cDNA microarrays; clustering procedures: hierarchical clustering, principal compenents and analysis, discriminant analysis, eigenvalue decomposition discriminant analysis and nonparametric clustering methods; controlling error rates in multiple testing through resampling methods, false discovery rates, Bayesian and empirical Bayes techniques, Support Vector Machines.
  

  • MATH 7235 - Combinatorics

    (3) (MATH 7793). Principles and techniques of combinatorial mathematics with a view toward applications in computer science; methods of enumeration, matching theory, paths and cycles, planarity, coloring problems, extremal problems.
  

  • MATH 7236 - Probabilistic Combinatorics

    (3) A study of recent results in probabilistic models and combinatorial methods and their applications. Example topics include: isoperimetric and correlation inequalities, influences of random variables, Martingales, projection inequalities, zero-one and approximate zero-one laws. May be repeated for a maximum of 6 credit hours when topics change.
  

  • MATH 7237 - Graph Theory

    (3) Connectivity, Euler tours, and Hamilton cycles, matchings, coloring problems, planarity, and network flows; study of classical theorems due to Brooks, Menger, Kuratowski, Schur, Tutte, and Vizing.
  

  • MATH 7261 - Algebraic Theory I

    (3) Studies in group theory and ring theory, including Sylow theory and factorization theory.
  

  • MATH 7262 - Algebraic Theory II

    (3) A continuation of Math 7261. Studies in field theory and modules, including free algebras, Galois theory, tensor products.
  

  • MATH 7281 - Linear Alg For Tchrs

    (3) (MATH 7793) Euclidean n-space; vector spaces; subspaces; linear independence and bases; linear transformations; matrices; systems of linear conditions; characteristic values and vectors of linear transformations. This course will not be counted as credit for a graduate program in Mathematics except the Masters of Science in Mathematics with a concentration in the Teaching of Mathematics. PREREQUISITE(S): Permission of instructor.
  

  • MATH 7282 - Algebra for Teachers

    (3) Current and proposed curriculums for College Algebra. Structures underlying polynomial and rational expressions. Definitions of exponential and logarithmic functions. Effective use of technology. Issues of assessment. Understanding student misconceptions. Links to secondary school mathematics and to the higher mathematics curriculum. This course will not be counted as credit for a graduate program in Mathematics except the Masters of Science in Mathematics with a concentration in the Teaching of Mathematics.  PREREQUISITE(S): Permission of instructor.
  

  • MATH 7291 - Number Theory for Tchrs

    (3) Divisibility properties of the integers and modular arithmetic. Greatest common divisors, Euclidean algorithm, and linear Diophantine equations. Tests for Divisibility. Systems of linear congruences and Chinese remainder theorem. Prime numbers, distribution of prime numbers, and Mersenne primes. Fermat’s little theorem, Euler’s Theorem and Wilson’s Theorem. Applications to RSA encryption. This course will not be counted as credit for a graduate program in Mathematics except the Masters of Science in Mathematics with concentration in the Teaching of Mathematics.
  

  • MATH 7296 - Geometry for Tchrs

    (3) Axiomatic development of Euclidean geometry. Comparisons of hyperbolic, spherical, and projective geometries. Focus is on constructing geometric proofs. This course will not be counted as credit for a graduate program in Mathematics except the Masters of Science in Mathematics with a concentration in the Teaching of Mathematics.
  

  • MATH 7311 - Topics In Analysis

    (1-3) Repeatable by permission.
  

  • MATH 7321 - Modeling & Computation

    (3) Introduction to process of formulating, solving, and interpreting mathematical models of real phenomena; both formal analysis and numerical techniques for variety of models.
  

  • MATH 7350 - Real Variables I

    (3) s-algebra, outer measure, Lebesque measure, measurable functions, differentiation, absolute continuity, Lp-spaces.
  

  • MATH 7351 - Real Variables II

    (3) Metric spaces, Baire category theorem, Hahn Banach theorem, uniform boundedness principle, closed graph theorem, general measure, signed measures, Radon-Nikodym theorem, product measures, Fubini theorem. Grades of S, U, or IP will be given.
  

  • MATH 7352 - Ergodic Theory

    (3) Examples of measure preserving transformations, Von Neumann and Birkhoff ergodic theorem, isomorphism, factors, ergodic decomposition, weak mixing, strong mixing, invariant measures for continuous transformations, unique ergodicity, applications to combinatorics and number theory (uniform distribution, continued fractions, Furstenberg correspondence principle, Roth and Sarkozy’s theorem), entropy, asymptotic equipartition property. Grades of S, U, or IP will be given.
  

  • MATH 7355 - Functional Analysis I

    (3) Vector spaces, Banach spaces, Hilbert spaces; linear functionals and operators in such spaces; spectral theory. PREREQUISITE(S): Permission of instructor.
  

  • MATH 7356 - Functional Analysis

    (3) A continuation of MATH 7355-8355.
  

  • MATH 7361 - Complex Analysis

    (3) A selection of advanced topics in complex analysis, including analytic functions, power series, mapping properties, complex integration, Cauchy’s theorem and its consequences, sequences of analytic functions. May be repeated for a maximum of 6 credit hours when topics change.
  

  • MATH 7371 - Calculus Of Variations

    (3) Introduction to calculus of variations, Euler-Lagrange equations, and optimization in infinite dimensional spaces. Applications could include various topics in science, engineering, economics, or geometry, such as ground state density theories, Dirichlet’s principle and differential equations, theory of least action, depending on interests of class. PREREQUISITE(S): Permission of Instructor.
  

  • MATH 7375 - Methods Math Physics I

    (3) (Same as ESCI 7375, PHYS 7375). Vector spaces, matrices, tensors, vector fields, function spaces, differential and integral operators, transform theory, partial differential equations.
  

  • MATH 7376 - Mthds Math Physics II

    (3) (Same as ESCI 7376, PHYS 7376). Complex variables, asymptotic expansions, special functions, calculus of variations, additional topics on matrices and operators, topics in non-linear analysis. PREREQUISITE(S): Permission of Instructor.
  

  • MATH 7381 - Real Analy For Tchrs I

    (3) Properties of real number system, elementary functions, plane analytic geometry, nature of the derivative, techniques of differentiation, periodic functions, differentiation of trigonometric functions, applications of the derivative, concepts of integration.
  

  • MATH 7382 - Real Analy For Tchrs II

    (3) Continuation of MATH 7381; definite integral with applications, integration of elementary transcendental functions, techniques of integration, indeterminate forms and improper integrals, infinite sequences and infinite series with tests for convergence. PREREQUISITE(S): Permission of Instructor.
  

  • MATH 7383 - Concepts of Calculus 1

    (4) Study of the teaching of calculus of one real variable. Topics include limits; continuity, derivatives, applications of derivatives including Newton’s method, graphing techniques, optimization, indeterminate forms and l’Hospital’s rule, anti-derivatives, integration of technology, and issues of assessment. This course will not be counted as credit for a graduate program in Mathematics except the Masters of Science in Mathematics with a concentration in the Teaching of Mathematics. PREREQUISITE(S): Permission of instructor.
  

  • MATH 7384 - Concepts of Calculus 2

    (4) Study of the teaching of calculus of one real variable. Topics include integration and applications of the definite integral, techniques of integration and improper integrals,  curves defined by parametric equations, arc length and surface area, polar coordinates, infinite series, Taylor and McLaurin series, integration of technology, and issues of assessment. This course will not be counted as credit for a graduate program in Mathematics except the Masters of Science in Mathematics with a concentration in the Teaching of Mathematics. PREREQUISITE(S): Permission of instructor. 
  

  • MATH 7385 - Concepts of Multivariable Calculus

    (4) Study of the teaching of multi-variable calculus. Covers multi-variable calculus including three-dimensional analytic geometry and vectors, quadratic surfaces, arc length and curvature, limits and continuity, partial derivatives and their applications, tangent planes, optimization problems and Lagrange multipliers, multiple integrals, vector fields, line and surface integrals, Green’s theorem, Stokes’ theorem, the divergence theorem. Particular attention is paid to visualization and geometry. This course will not be counted as credit for a graduate program in Mathematics except the Masters of Science in Mathematics with a concentration in the Teaching of Mathematics. PREREQUISITE(S): Permission of instructor. 
  

  • MATH 7391 - Foundations of Differential Equations

    (3) Study of the teaching of ordinary differential equations. Topics include first order differential equations; linear differential equations of all orders; series methods for linear equations; Laplace transform; systems of differential equations; applications; modeling approaches; and technology integration. This course will not be counted as credit for a graduate program in Mathematics except the Masters of Science in Mathematics with a concentration in the Teaching of Mathematics.  PREREQUISITE(S): Permission of instructor.
  

  • MATH 7393 - Differl Equatns/App

    (3) Basic concepts in ordinary and partial differential equations (possibly functional or stochastic differential equations); existence, uniqueness, continuous dependence theorems. Application areas could include diffusion, wave propagation, population dynamics, neural networks, mathematical biology and ecology, quantum theory, kinetic theory, depending on interests of class. PREREQUISITE(S): Permission of Instructor
  

  • MATH 7395 - Theory Diff Equatns

    (3) Qualitative aspects of linear and nonlinear differential equations including asymptotic behavior and regularity; geometric, functional analytic, and harmonic analytic methods. The asymptotic could include ergodic limits and chaos. The regularity might range from analyticity to discontinuous solutions (shocks, liquid crystals, etc.). PREREQUISITE(S): Permission of Instructor.
  

  • MATH 7411 - Point Set Topology

    (3) (6671) An axiomatic approach to compactness, separability, connnectedness, metrizability and other topological properties. PREREQUISITE(S): Permission of instructor.
  

  • MATH 7501 - Nonlinear Wave Phenomena

    (3) KdV-equation, regularized long wave BBM-equation, explicit solitary and cnoidal waves, orbital stability of solitary and cnoidal waves, Boussinesq equation, B oussinesq systems of equations, pseudo differential equations as internal wave models, Krasnosell’skii’s topological degree theory, P.L. Lions’ concentration-compactness principle, existence and stability of traveling waves. PREREQUISITE(S): Permission of Instructor.
  

  • MATH 7502 - Semigroups of Linear Operators

    (3) Generation of linear semigroups, perturbation and approximation, applications to partial differential equations, probability theory, quantum theory and Feynman integrals. Grades of S, U, or IP will be given.
  

  • MATH 7503 - Semigroups Nonlinear Operators

    (3) Generation of nonlinear semigroups, mild solutions and limit solutions, approximation and perturbation theory, convex analysis, applications to partial differential equations, nonlinear parabolic problems, conservation laws, Hamilton-Jacobi equation, vixcosity solutions, variational calculuc and elliptic problems.
  

  • MATH 7504 - Partial Differential Equations

    (3) A selection of the following topics: Explicit and semi-explicit formulas for some classical partial differential equations, Maximum Principle, Sobolev spaces, harmonic analysis methods, parabolic, hyperbolic and elliptic equations, introduction to nonlinear partial differential equations. May be repeated for a maximum of 6 credit hours when topics change. PREREQUISITE(S): Permission of Instructor.
  

  • MATH 7521 - ADP Stoch Optim & Control

    (3) Basic concepts and mathematical foundations of neural networks, learning, nonlinear optimization and control. Exact and approximate optimization of the utility function. Bellman equation, approximate Bellman equation for solving multivariate optimization problems in real time. Partially observable variables, with random noise and tactical objectives varying in time. COREQUISITE(S): NURS 7902 .
  

  • MATH 7601 - Statistics for Tchrs

    (3) Binomial and geometric random variables; sampling distributions; basic concepts of hypothesis testing; inference for two population means, proportions, and variances; simple linear regression; inference for regression coefficients. This course will not be counted as credit for a graduate program in Mathematics except the Masters of Science in Mathematics with concentration in the Teaching of Mathematics.
  

  • MATH 7607 - Adv Prog In Sas

    (3) Covers SAS macro language and SAS SOL; topics include macro variables, macro processing, Marco expressions, Marco quoting; Proc SQL, retrieving data from tables, creating and updating tables and views; applications in statistics.
  

  • MATH 7608 - Statistical Programming with R

    (3) Covers R programming language for statistical computation; Topics include: Input/output, R objects, functions, graphics, numerical techniques, optimization, simulation, Monte Carlo techniques.
  

  • MATH 7613 - Probability Theory

    (3) Probability measures; distribution functions; independence; mathematical expectation, modes of convergence; Borel-Cantelli Lemma, weak and strong laws of large numbers; Glinvenko-Cantelli lemma; characteristic functions inversion theorems; Slustky’s theorem, central limit theorem, Liapounov and Lindberg-Levy and Lindberg-Feller theorems; multivariate extensions; Berry-Esseen theorem. COREQUISITE(S): NURS 7904 .
  

  • MATH 7630 - Special Topics in Statistics

    (1-3) Continuation of MATH 7381 ; definite integral with applications, integration of elementary transcendental functions, techniques of integration, indeterminate forms and improper integrals, infinite sequences and infinite series with tests for convergence Grades of S, U, or IP will be given.
  

  • MATH 7631 - Special Topics in Statistics

    (1-3) Continuation of MATH 7381 ; definite integral with applications, integration of elementary transcendental functions, techniques of integration, indeterminate forms and improper integrals, infinite sequences and infinite series with tests for convergence Grades of S, U, or IP will be given.
  

  • MATH 7632 - Special Topics in Statistics

    (1-3) Continuation of MATH 7381 ; definite integral with applications, integration of elementary transcendental functions, techniques of integration, indeterminate forms and improper integrals, infinite sequences and infinite series with tests for convergence Grades of S, U, or IP will be given.
  

  • MATH 7633 - Special Topics in Statistics

    (1-3) Continuation of MATH 7381 ; definite integral with applications, integration of elementary transcendental functions, techniques of integration, indeterminate forms and improper integrals, infinite sequences and infinite series with tests for convergence Grades of S, U, or IP will be given.
  

  • MATH 7634 - Special Topics in Statistics

    (1-3) Continuation of MATH 7381 ; definite integral with applications, integration of elementary transcendental functions, techniques of integration, indeterminate forms and improper integrals, infinite sequences and infinite series with tests for convergence Grades of S, U, or IP will be given.
  

  • MATH 7635 - Special Topics in Statistics

    (1-3) Continuation of MATH 7381 ; definite integral with applications, integration of elementary transcendental functions, techniques of integration, indeterminate forms and improper integrals, infinite sequences and infinite series with tests for convergence Grades of S, U, or IP will be given.
  

  • MATH 7636 - Special Topics in Statistics

    (1-3) Continuation of MATH 7381 ; definite integral with applications, integration of elementary transcendental functions, techniques of integration, indeterminate forms and improper integrals, infinite sequences and infinite series with tests for convergence Grades of S, U, or IP will be given.
  

  • MATH 7637 - Special Topics in Statistics

    (1-3) Continuation of MATH 7381 ; definite integral with applications, integration of elementary transcendental functions, techniques of integration, indeterminate forms and improper integrals, infinite sequences and infinite series with tests for convergence Grades of S, U, or IP will be given.
  

  • MATH 7638 - Special Topics in Statistics

    (1-3) Continuation of MATH 7381 ; definite integral with applications, integration of elementary transcendental functions, techniques of integration, indeterminate forms and improper integrals, infinite sequences and infinite series with tests for convergence Grades of S, U, or IP will be given.
  

  • MATH 7639 - Special Topics in Statistics

    (1-3) Continuation of MATH 7381 ; definite integral with applications, integration of elementary transcendental functions, techniques of integration, indeterminate forms and improper integrals, infinite sequences and infinite series with tests for convergence Grades of S, U, or IP will be given.
  

  • MATH 7641 - Analysis Of Variance

    (3) Basic concepts of ANOVA, partitioning of the sums of squares, fixed effects models, t- and F-tests, multiple comparison procedures, random effect models, variance component models, analysis of covariance and introduction to MANOVA (SAS or comparable statistical packages used extensively to analyze different types of designs). PREREQUISITE(S): 18 credit hours in Ethnomusicology or Southern Regional Music.
  

  • MATH 7642 - Experimental Design

    (3) Fundamental concepts in designing experiments, justification of linear models, randomization, principle of blocking, use of concomitant observations, principle of confounding, fractional replication, composite designs, incomplete block designs. COREQUISITE(S): NURS 7990  or permission of instructor.
  

  • MATH 7643 - Least Sq/Regr Analysis

    (3) Basic concepts of hypothesis testing and confidence intervals; simple and multiple regression analyses, model selection, Mallow’s Cp, examination of residuals, Box-Cox transformation, influence diagnostics, multicolinearity, ridge-regression, probit, logit, and log-linear analyses; intensive use of SAS or other statistical packages. PREREQUISITE(S): Completion of 18 graduate level credit hours in music, including MUHL 7400  and MUHL 6801 .
  

  • MATH 7645 - Sampling Techniques

    (3) Planning, execution, and analysis of sampling from finite populations; simple, stratified, multistage cluster and systematic sampling; ratio and regression estimates, estimation of variance.
  

  • MATH 7647 - Non-Param Stat Meth

    (3) Use of distribution-free statistics for estimation, hypothesis testing, and correlation measures in designing and analyzing experiments.
  

  • MATH 7651 - Linear Models

    (3) Multivariate normal distributions, distribution of quadratic forms, general linear hypothesis of full rank, optimal point and interval estimations, applications to regression models; elements of generalized linear models, applications to logistic regression and log-linear models; use of SAS procedures. PREREQUISITE(S): MUID 2201 and permission of instructor.
  

  • MATH 7654 - Inference Theory

    (3) Bayes and maximum likelihood estimators, sufficient statistics; Rao-Blackwell Theorem, sampling distributions; unbiasedness, completeness and UMVU estimators; efficient estimators, Cramer-Rao inequality; simple robust estimators; UMP-tests; likelihood ratio tests, t-tests and F-tests.
  

  • MATH 7656 - Adv Tchn Statistcl Infr

    (3) Limit theorems; uniformly minimum variance unbiased and maximum likelihood estimators; information inequalities; large sample theory; robust estimators; uniformly most powerful unbiased and invariant tests; sequential and robust tests.
  

  • MATH 7657 - Multivar Stat Meth

    (3) Basic contents: multivariate normal distributions; Wishart distribution, Hotelling-T2, Matric-t and Beta distributions; generalized regression models and growth curve models; multivariate analysis of variance; principal component analysis; discriminant analysis; factor analysis; curve fitting procedures in multivariate cases. All topics will be illustrated by practical examples.
  

  • MATH 7660 - App Time Series Analy

    (3) Basic concepts and examples of stationary and nonstationary time series; random harmonic analysis; spectral density functions, model building procedures for time series models; model identification; diagnostic checking, smooth, forecasting and control; Box-Jenkin approach of time series analysis; some seasonal models. May be repeated when topic changes.
  

  • MATH 7670 - App Stochastic Models

    (3) Markov chains with discrete time; classification of states, stationary distributions, absorption probabilities and absorption time; Markov chains with continuous time; birth-death processes, waiting time distributions, queuing models, population growth models, Kolmogorov forward and backward equations, diffusion processes, Fokker-Planck equation; applications to genetic problems, etc. May be repeated when topic changes.
  

  • MATH 7671 - Indiv Study Statistics

    (1-3) Directed individual study of recent developments in statistics. Repeatable by permission.
  

  • MATH 7672 - Spec Prob Statistics

    (1-3) (6671). Recent developments in statistical methods and applications.
  

  • MATH 7680 - Bayesian Inference

    (3) Nature of Bayesian inference; formulation and choice of prior distributions; advantages and disadvantages of Bayesian approach; applications of Bayesian approach to Behren-Fisher problems, to regression analysis, and to the analysis of random effect models; applications of Bayesian approach to the assessment of statistical assumptions; Bayesian prediction procedures.
  

  • MATH 7681 - Probability For Tchrs

    (3) Probability spaces, theory of statistical inference, physical interpretations of probability. PREREQUISITE MATH 1920.
  

  • MATH 7685 - Simulation & Computing

    (3) Uniform random number generation and testing, generation methods for non-uniform random variables, simulating random numbers from specific distributions, Metropolis-Hastings algorithm, Markov Chain Monet-Carlo (MCMC), Gibbs sampling. PREREQUISITE(S): Two semesters (or equivalent) of undergraduate improvisation, and permission of instructor.
  

  • MATH 7691 - Sem Statistical Resch

    (1-3) Recent developments in statistical methods and their applications. Basic topics cover multivariate method
  

  • MATH 7692 - Statistical Consulting

    (3) Methods and techniques of statistical consulting; students will participate in consulting practice supervised by graduate faculty in statistics. May be repeated for a total of 6 credit hours. PREREQUISITE(S): Permission of instructor.
  

  • MATH 7695 - Bootstrap/Other Methods

    (3) Empirical distribution and plug-in principle; bias reduction; bootstrapping regression models; the jackknife; balanced repeated replication; bootstrap confidence intervals; parametric bootstrap; permutation tests.
  

  • MATH 7721 - Adv Numerical Analysis

    (3) A continuation of Mathematics 6721; specialized methods and techniques in field of numerical analysis.
  

  • MATH 7759 - Categorical Analysis

    (3) Exponential family of distributions and generalized linear models; binary variables and logistic regression; contingency tables and log-linear models; quasi-likelihood functions; estimating functions.
  

  • MATH 7762 - Survival Analysis

    (3) Nonparametric estimation and comparison of survival functions: Kaplan-Meier Estimator and other estimators of hazard functions; parametric survival models; Gehan test, Mantel-Haenszel test and their extensions; Cox proportional hazard model: conditional likelihood, partial likelihood analysis, identification of prognostic and risk factors; applications to life-testing and analysis of survival data using statistical packages such as SAS. Grades of A-F, or IP will be given.
  

  • MATH 7764 - Stat Methods Biom/Envir

    (3) Penalized likelihood method, spline and nonparametric regression, use of E-M algorithm, Fourier transform method, error-in-variables, longitudinal models and repeated measures; generalized estimating equations; analysis and modeling of AIDS data; statistical risks assessment. Grades of S, U, or IP will be given.
  

  • MATH 7765 - Adv Stochstic Mod Biom

    (3) Stochastic models of the AIDS epidemic; chain multinomial models, Markov models, Non-Markov marker processes, diffusion processes for AIDS, stochastic models of carcinogenesis; two-stage, multi-event and multiple path models.
  

  • MATH 7821 - Special Prob In Math

    (1-3) Directed individual study in a selected area of mathematics chosen in consultation with the instructor and the student’s advisor. Repeatable by permission.
  

  • MATH 7921 - Spec Prob Diff Equation

    (1-3) Repeatable by permission.
  

  • MATH 7922 - Spec Prob Applied Math

    (1-3) Repeatable by permission. Grades of A-F, or IP will be given.
  

  • MATH 7960 - GA Teaching & Academic Strateg

    (3) Non-traditional setting in which graduate students develop skills in areas of teaching, research, and university resources. Required of all first year graduate assistants in the department. Grades of A — F or IP will be given. This course may not be repeated for credit.
  

  • MATH 7995 - Project Applied Math

    (1-3) (7308) Mathematical modeling problem related to science or industry, selected in consultation with a faculty advisor, and leading to final report. Repeatable by permission.
  

  • MATH 7996 - Thesis

    (1-6) Grades of S, U, or IP will be given.
  

  • MATH 8020 - Special Topics in Mathematics

    (3) Basic concepts of statistical modeling and analysis with extensive us of R; topics include hypothesis testing; means, proportions, and variances; analysis of variance; completely randomized designs, randomized block designs, Latin square designs; multiple comparisons; simple linear model and multiple regression; analysis of covariance Grades of S, U, or IP will be given.
  

  • MATH 8021 - Special Topics in Mathematics

    (3) Basic concepts of discrete Markov chains; branching processes; Poisson processes; applications to modeling of population growth; applications to modeling of the spread of infectious disease
  

  • MATH 8022 - Special Topics in Mathematics

    (3) Hypothesis testing and confidence intervals for linear regression models, examination of residuals, calculation of elasticities and partial correlations, heteroscedasticity, serial correlation, multicolinearity, non-linearity, deterministic and stochastic time series models, stationary time series and autocorrelation functions, diagnostic checks, forecasting using ARIMA models
 

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