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MAT 7290 -
Geometry
Description: Topics selected from affine, finite, hyperbolic, spherical, elliptic, Euclidean or projective geometry.
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered: Fall 2008, Fall 2006, Fall 2004, Fall 2002
MAT 7300 -
History of Math
Description: The development of mathematics from ancient times to the birth of calculus in the seventeenth century. Independent work on a topic in the history of mathematics since 1700.
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered: Fall 2007, Fall 2005, Fall 2003, Fall 2001
MAT 7305 -
Technology in Teaching of Math
Description: Applications of technology to topics selected from algebra, geometry, calculus, statistics and programming. Technologies used may include computer algebra systems, e.g., Maple, geometry software, e.g., Sketchpad, and statistics software, e.g., Fathom.
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered: Summer 2006, Summer 2005, Fall 2004, Summer 2003
MAT 7310 -
Topics in the Teaching of Math
Description: Selected topics of interest to teachers of secondary school mathematics.
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered: Summer 2002
MAT 7404 -
Statistical Methods I
Description: Data summarization and display, distributions; binomial, Poisson, normal, t, chi-square and F, estimation, hypothesis testing, linear regression, correlation, statistical software packages.
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered: Fall 2008, Fall 2007, Fall 2006, Fall 2005
MAT 7405 -
Statistical Methods II
Description: ANOVA: multiple comparison procedures, contrasts, random and fixed effect models, transformations, experimental design, nested designs, randomized blocks, factorials, latin squares, analysis of covariance, multiple regression, correlation, statistical software packages.
Prerequisites: MAT 7404
Corequisites:
Credit Hours: 3.0
Last Offered: Spring 2008, Spring 2007, Spring 2006, Spring 2005
MAT 7600 -
Advanced Calculus
Description: Real numbers, completeness, sequences, limits, continuous functions, the derivative, sequences of functions, pointwise and uniform convergence, power series.
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered: Fall 2008, Fall 2007, Fall 2006, Fall 2005
MAT 7605 -
Topics in Analysis
Description: Advanced topics selected from real analysis, complex analysis, or higher analysis. Prerequisite: Determined by instructor.
Prerequisites: MAT 7600
Corequisites:
Credit Hours: 3.0
Last Offered: Spring 2008, Spring 2007, Spring 2006, Spring 2005
MAT 7610 -
Complex Analysis
Description: Complex numbers, analytic functions, Cauchy-Riemann equations, complex integration, Cauchy integral theorem and Cauchy integral formulae, power series, Taylor and Laurent series, singularities, residue theorem, harmonic functions.
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered: Spring 2007, Spring 2006, Summer 2004, Summer 2001
MAT 7660 -
Linear Algebra
Description: Vector spaces, linear transformations, eigenvalues and eigenvectors, invariant subspaces, decomposition theorem, Jordan forms, bilinear forms, selfadjoint operators, functions of operators, differential systems.
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered: Fall 2008, Fall 2007, Fall 2006, Fall 2005
MAT 7670 -
Mathematical Logic
Description: The sentential calculus, truth functions, analytic tableaux, natural deduction, first order logic, models, consistency, completeness. Applications to computer science including the P-NP problem.
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered: Summer 2008, Spring 2002, Spring 2001, Spring 2000
MAT 7750 -
Numerical Analysis I
Description: Error generation and propagation, root finding, approximation of functions by polynomials and cubic splines, direct and iterative solutions of linear systems, operations count, numerical differentiation and integration.
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered: Spring 2008, Fall 2006, Fall 2004, Spring 2003
MAT 7755 -
Numerical Analysis II
Description: Topics selected from: calculation of eigenvalues and eigenvectors, finite difference techniques, numerical methods for solving initial and boundary value problems, convergence, stability.
Prerequisites: MAT 7750
Corequisites:
Credit Hours: 3.0
Last Offered:
MAT 7770 -
Number Theory
Description: Divisibility; Euclidean algorithm; prime numbers; Fundamental Theorem of Arithmetic; congruences; arithmetic functions; Diophantine equations, additional topics, which may vary by semester, include cryptography, law of quadratic reciprocity, continued fractions.
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered: Fall 2007, Summer 2006, Spring 2004, Fall 2003
MAT 7780 -
Financial Mathematics
Description: Basic tools of financial markets; annuities; options; asset price random walks; estimation of parameters; Black-Scholes Model; implied volatility; portfolio-engineering; hedging; discrete models.
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered: Spring 2007, Spring 2006, Spring 2005
MAT 7790 -
Dynamical Systems & Chaos
Description: Topics selected from: iteration of real and complex functions, population models, qualitative theory of differential equations, fractals and dimension, topological and metric properties of systems, and applications.
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered: Summer 2007, Summer 2005
MAT 7990 -
Seminar in Biomathematics
Description: Supervised study and research project incorporating mathematical and computational models for topics such as: pattern detection and pattern matching in DNA sequences; population growth and the dynamics of epidemics.
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered: Summer 2002, Summer 2001, Summer 2000, Summer 1999
MAT 8000 -
Graduate Math Seminar
Description:
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered: Summer 2001
MAT 8010 -
Biomath Pedagogy Seminar
Description: Supervised study to develop, test, and implement an interdisciplinary instructional module for use in a high school curriculum. Module incorporates mathematical and computational models for topics such as: pattern detection and pattern matching in DNA sequences; population growth and the dynamics of epidemics.
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered: Summer 1999, Summer 1998, Summer 1997
MAT 8400 -
Statistical Theory I
Description: Probability, random variables, univariate and multivariate distributions, mathematical expectation, Central Limit Theorem, Law of Large Numbers.
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered: Fall 2008, Fall 2007, Fall 2006, Fall 2005
MAT 8401 -
Statistical Theory II
Description: Sampling, estimation, hypothesis testing, decision theory, least squares, regression, analysis of variance, Bayesian statistics.
Prerequisites: MAT 8400
Corequisites:
Credit Hours: 3.0
Last Offered: Spring 2008, Spring 2007, Spring 2006, Spring 2005
MAT 8406 -
Regression Methods
Description: Linear regression, correlation, multiple regression, weighted least squares, residuals and influence diagnostics, model building, variable selection, nonlinear regression.
Prerequisites: MAT 7405
Corequisites:
Credit Hours: 3.0
Last Offered: Fall 2008, Fall 2007, Fall 2006, Fall 2005
MAT 8408 -
Multivariate Methods
Description: Multivariate normal distribution, principal component analysis, Hotelling T2 test, discriminant function analysis, multivariate analysis of variance, covariance and repeated measurements, canonical correlation analysis, factor analysis, claffication and cluster analysis.
Prerequisites: MAT 7405
Corequisites:
Credit Hours: 3.0
Last Offered: Spring 2007, Fall 2004, Spring 2002, Summer 1999
MAT 8412 -
Linear Models
Description: Analysis of general linear models, fixed and random effects, variance components, unbalanced data.
Prerequisites: MAT 7405
Corequisites:
Credit Hours: 3.0
Last Offered: Spring 2008, Spring 2007, Spring 2006, Fall 2004
MAT 8414 -
Categorical Data Anal
Description: Estimation, maximum likelihood, weighted least squares, log- linear models, logistic regression.
Prerequisites: MAT 7405
Corequisites:
Credit Hours: 3.0
Last Offered: Spring 2008, Spring 2005, Spring 2003, Spring 2000
MAT 8416 -
Design of Experiments
Description: Completely randomized, randomized block, latin square, nested, split plot, balanced incomplete block and crossover designs, factorials, systems of confounding, fractional factorials and response surface designs.
Prerequisites: MAT 7405
Corequisites:
Credit Hours: 3.0
Last Offered: Fall 2007, Spring 2005, Fall 2003, Spring 2002
MAT 8424 -
Statistics Practicum
Description: Applications of regression analysis, analysis of variance, multivariate data analysis, presentation of results, statistical graphics, interpretation of results, issues relevant to the practice of statistical consulting. Analysis of a selected dataset, with written report and accompanying presentation required. Must have completed 24 credits in the Applied Statistics Program.
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered: Spring 2008, Spring 2007, Spring 2006, Spring 2005
MAT 8430 -
Operations Research
Description: Deterministic mathematical models, including linear programming, integer programming, inventory, transportation and assignment problems, networks and flows, nonlinear programming and dynamic programming with an emphasis on principles and techniques.
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered: Fall 2008, Fall 2007, Spring 2007, Spring 2006
MAT 8435 -
Mathematical Modeling
Description: Model construction, Markov chains, game theory, networks and flows, growth processes and models for epidemics and queues with an emphasis on model construction.
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered: Summer 2008, Summer 2006, Summer 2004, Fall 2003
MAT 8440 -
Statistics Quality Control
Description: Industrial applications of statistical techniques, Deming's 14 points, Ishikawa's charting techniques, control charts for attributes and variables, acceptance sampling, military standards, process capability studies, introduction to Taguchi designs.
Prerequisites: MAT 7405
Corequisites:
Credit Hours: 3.0
Last Offered: Summer 2006, Summer 2005, Summer 2002, Spring 1997
MAT 8444 -
Time Series and Forecasting
Description: Frequency domain approaches to the analysis of time series, autoregressive models, forecasting.
Prerequisites: MAT 7405
Corequisites:
Credit Hours: 3.0
Last Offered: Spring 2006, Spring 2001, Fall 1998, Spring 1998
MAT 8446 -
Survival Data Analysis
Description: Analysis of survival of lifetime data; life tables and Kaplan-Meier estimation, survival analysis with covariates, Cox proportional hazard models.
Prerequisites: MAT 7405
Corequisites:
Credit Hours: 3.0
Last Offered: Spring 2008, Fall 2003, Fall 2001, Spring 1999
MAT 8448 -
Clinical Trials
Description: Basic principles of clinical trials, rationale, history, organization and planning, randomization and ethical issues, sample size determination, study designs: parallel, crossover, repeated measurements, statistical analysis of clinical trials data, interim analyses.
Prerequisites: MAT 7405
Corequisites:
Credit Hours: 3.0
Last Offered: Summer 2007, Summer 2005, Summer 2003, Summer 2000
MAT 8452 -
Nonparametric Statistics
Description: One sample rank tests, estimates and confidence intervals, paired replicates, two sample rank tests, nonparametric correlation and regression techniques.
Prerequisites: MAT 7405
Corequisites:
Credit Hours: 3.0
Last Offered: Fall 2006, Summer 2006, Summer 2004, Summer 2001
MAT 8454 -
Sampling Methods
Description: Sampling and survey methodology, basic sampling theory, random and stratified sampling, systematic sampling errors, estimation procedures.
Prerequisites: MAT 7405
Corequisites:
Credit Hours: 3.0
Last Offered: Fall 2008, Fall 2005, Fall 2002, Fall 1999
MAT 8462 -
Stochastic Processes
Description: Generating functions, convolutions, recurrent events, random walk models, gambler's ruin problem, Markov chains: Markov processes in continuous time; queuing processes, epidemic processes.
Prerequisites: MAT 8400
Corequisites:
Credit Hours: 3.0
Last Offered:
MAT 8600 -
Real Analysis
Description: General theory of measure and integration, Lebesgue measure, Lebesgue integral.
Prerequisites: MAT 7605
Corequisites:
Credit Hours: 3.0
Last Offered: Spring 1999, Spring 1997, Summer 1995
MAT 8650 -
Abstract Algebra
Description: Groups, homomorphisms, factor groups, rings, fields, finite fields, selected applications.
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered: Fall 2008, Fall 2006, Spring 2005, Fall 2003
MAT 8655 -
Algebra II
Description: Possible topics include Boolean algebras, graph theory, coding theory, Galois theory.
Prerequisites: MAT 8650
Corequisites:
Credit Hours: 3.0
Last Offered: Summer 2005
MAT 8700 -
Topology I
Description: Topological equivalence, connectedness, compactness, manifolds, homotopy.
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered: Spring 2008, Fall 2005, Spring 2002, Fall 1998
MAT 8705 -
Topology II
Description: Selected topics from point set and geometric topology.
Prerequisites: MAT 8700
Corequisites:
Credit Hours: 3.0
Last Offered:
MAT 8740 -
Applied Math I
Description: Symmetric linear systems, eigenvalue and dynamical systems, Lagrange multipliers, equilibrium and minimum principles, least squares estimation and Kalman filter, equilibrium of fluids and solids, calculus of variations.
Prerequisites: MAT 7660
Corequisites:
Credit Hours: 3.0
Last Offered:
MAT 8745 -
Applied Math II
Description: A continuation of MAT 8740.
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered:
MAT 8790 -
Selected Topics I
Description: Particular topics of study determined on a year to year basis to suit the desire and prepartion of students.
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered: Summer 2008, Summer 2007, Fall 2005, Spring 2004
MAT 8795 -
Selected Topics II
Description: Same as MAT 8790.
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered: Summer 2002, Summer 2001, Summer 2000, Summer 1999
MAT 8796 -
Selected Topics III
Description:
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered: Summer 1995
MAT 8800 -
Independent Study
Description: Reading in a selected branch of mathematics under the direction of a member of the faculty.
Prerequisites:
Corequisites:
Credit Hours: 3.0
Last Offered: Fall 2008, Summer 2008, Spring 2008, Fall 2007
MAT 9000 -
Graduate Math Seminar
Description: Supervised study of selected topics in mathematics with presentations by individual students. Content may be chosen by the instructor or may be taillored to interests of students.
Prerequisites: (MAT 7600 and MAT 7660)
Corequisites:
Credit Hours: 3.0
Last Offered: Spring 2008, Spring 2007, Spring 2006, Spring 2005
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