Math 511 Introduction to Complex Variables (4 credits)
Algebra and geometry of complex numbers, analytic functions, power series, Cauchy's theorem and residue theorem. Pre: Math 223 and 290.
Math 517 Real Analysis I (3 credits)
Limits and continuity, sequences and series, differentiation and integration. Pre: Math 223 and 290.
Math 518 Real Analysis II (3 credits)
Topology of Euclidean spaces, continuous functions, sequences of functions and differentiable mappings. Pre: Math 517.
Math 522 Partial Differential Equations (4 credits)
This course presents the theory, computations, and applications of partial differential equations and Fourier series. Pre: Math 223 and 321.
Math 525 Mathematical Modeling (4 credits)
This course presents topics from mathematical analysis of both discrete and continuous models taken from problems in the natural sciences, economics and resource management. Pre: Math 223 and 247.
Math 535 Modern Geometry (4 credits)
Geometry of spaces including Euclidean and non-Euclidean and applications of contemporary geometry. Pre: Math 332 or consent.
Math 542 Theory of Numbers (4 credits)
Euclidean algorithm, primes, composites, number theoretic functions, congruencies, Diophantine equations, Euler and Fermat theorems, algebraic number fields. Pre: Math 345.
Math 546 Abstract Algebra II (4 credits)
A continuation of Math 345. The course will include topics from groups, rings, and fields. Pre: Math 345.
Math 547 Linear Algebra II (3 credits)
An in-depth study of linear operators and their related spaces, dimension, rank, matrix representation of linear operators, special matrices, determinants, eigenvectors and eigenvalues. Pre: Math 345.
Math 555 Theory of Statistics I (4 credits)
A mathematical approach to statistics with derivation of theoretical results and of basic techniques used in applications. Includes probability, continuous probability distributions, multivariate distributions, functions of random variables, central limit theorem and statistical inference. Same as Stat 555. Pre: Math 223.
Math 556 Theory of Statistics II (4 credits)
A mathematical approach to statistics with derivation of theoretical results and of basic techniques used in applications, including sufficient statistics, additional statistical inference, theory of statistical tests, inferences about normal models and nonparametric methods. Same as Stat 556. Pre: Math/Stat 555.
Math 570 Numerical Analysis I (4 credits)
This course provides an introduction to techniques and analysis involved with solving mathematical problems using technology. Topics included are errors in computation, solutions of linear and nonlinear equations, numerical differentiation and integration, and interpolation. Pre: Math 122, 247 and computer programming language such as Fortran.
Math 571 Numerical Analysis II (4 credits)
This course is a continuation of Math 570. Topics included are the algebraic eigenvalue problem, least-squares approximation, solutions of systems of nonlinear equations, numerical solutions of ordinary differential equations. Pre: Math 570, 223 and computer programming language such as Fortran.
Math 580 History of Mathematics (3 credits)
The development of selected topics from before the Hellenistic time period to the late twentieth century. Familiarity with the content of Hist 180 is beneficial. Pre: Math 345.
Math 584 Technology in Secondary School Mathematics (2 credits)
This course is designed to inform secondary mathematics teachers about effective utilization of technology in the mathematics curriculum. Pre: Math 345.
Math 588 Seminar (1-3 credits)
A course of study in which a group of students study a topic by examining results through reports and discussions. May be repeated for credit on each new topic.
Math 590 Workshop (1-4 credits)
A short course devoted to a specific mathematical topic. May be repeated for credit on each new topic.
Math 591 Inservice (1-4 credits)
A course designed to upgrade the qualifications of persons on-the-job. May be repeated for credit on each new topic.
Math 595 Selected Topics (1-4 credits)
A course in an area of mathematics not regularly offered. May be repeated for credit on each new topic.
Math 596 Mathematical Logic (3 credits)
Propositional logic, first and second order logic, completeness, consistency, models of theories, Godel's Incompleteness theorem. Pre: Math 345 and Phil 411.
Math 598 Internship (1-12 credits)
Provides a student the opportunity to gain expertise and experience in a special field under the supervision of a qualified person.
Math 605 Graphs and Algorithms (3 credits)
Mathematical concepts of graph theory applied to problems that have algorithmic solutions. Pre: Math 375, 417, and 447.
Math 606 Topics in Discrete Mathematics (3 credits)
Can be used for any graduate level discrete mathematics course not offered as a regular course. May be repeated for credit on each new topic. Pre: Math 375 and 447.
Math 608 Seminar in Elementary Mathematics (1-4 credits)
An opportunity for a group of elementary teachers to study a mutual problem in mathematics.
Math 611 Real Analysis (3 credits)
Measure theory, integration, metric spaces and Banach spaces. Pre: Math 417.
Math 613 Topics in Analysis (3 credits)
Can be used for any graduate level analysis course not offered as a regular course. May be repeated for credit on each new topic. Pre: Math 417.
Math 618 Functional Analysis (3 credits)
An introduction to the basic concepts and principles of functional analysis, normed spaces, Banach spaces, Hilbert spaces and approximation theory. Pre: Math 417 and 447.
Math 620 Applied Mathematics (3 credits)
Applications of discrete and continuous mathematics to deterministic problems in the natural sciences, computer science, engineering and economics. Applied problems will be developed within the mathematical framework of dimensional analysis, asymptotic analysis, perturbation theory, stability and bifurcation. Pre: Math 321, 417 and 447.
Math 621 Topics in Applied Mathematics (3 credits)
Can be used for any graduate level applied mathematics course not offered as a regular course. May be repeated for credit on each new topic. Pre: Math 417, 422 and 447.
Math 625 Complex Variables (3 credits)
The theory of functions of one complex variable. Complex numbers, contour integration, analytic functions, residues and power series. Pre: Math 417.
Math 635 Topics in Geometry (3 credits)
This course presents selected topics in projective, transformational and differential geometry. Pre: Consent.
Math 641 Topics in Modern Abstract Algebra (3 credits)
A rigorous excursion through some of the topics of abstract algebra which are essential components of the background of a masters level graduate student. Pre: Math 345.
Math 645 Topics in Algebra (3 credits)
This course will cover advanced topics such as (but not limited to) free abelian groups, group rings, noetherian/generalized noetherian rings, coherent/generalized coherent rings, homological algebra, homological dimension theory, representation theory of finite fields, galois theory of equations, field theory, valuation theory and semigroups. Pre: Math 641.
Math 661 Mathematical Problem Solving and Modeling for Teachers (3 credits)
Heuristics in mathematical problem solving and mathematical modeling for teachers.
Math 662 Algebraic Structures in School Mathematics (3 credits)
Algebraic concepts and procedures interpreted and related from the perspectives of abstract algebra, cognitive research on the learning of algebra and professional curriculum and instruction programs. Pre: Math 345.
Math 663 Geometric Structures in School Mathematics (3 credits)
The Van Hiele model of the development of geometric thought and recent developments of geometric theory and applications which are related to the school mathematics curriculum. Pre: Math 332.
Math 672 Numerical Solutions to Differential Equations (2 credits)
This course is an in-depth study of solving ordinary differential equations numerically. Both Runge-Kutta methods and general multi-step methods are discussed. Error control and step size changing for both stiff and nonstiff equations are analyzed. Pre: Math 321 and 470.
Math 674 Computations in Linear Algebra (2 credits)
This course is an in-depth study of solving linear systems both directly and iteratively and solving the algebraic eigenvalue problem. Applications may also be included. Pre: Math 447 and 470.
Math 677 Individual Study (1-4 credits)
Independent individual study under the guidance and direction of a graduate faculty member. Pre: Consent.
Math 680 Topics in Mathematics (1-4 credits)
A graduate course in an area of mathematics not offered as a regular course. May be repeated for credit on each new topic. Pre: Will vary with each topic.
Math 689 Readings in Mathematics (1-3 credits)
Independent readings in mathematics under the direction of a graduate faculty member. Pre: Consent.
Math 690 Research in Mathematics Education (3 credits)
Examination of cognitive theories guiding research in mathematics education; analysis and interpretation of research procedures applied in experiments, qualitative, program evaluation, survey, meta-analysis, theory-generating, and action research studies in mathematics education. Pre: Stat 550 or 551 or consent.
Math 691 In-Service (1-4 credits)
A course designed to upgrade the qualifications of persons on-the-job. May be repeated for credit on each new topic.
Math 692 Point-Set Topology (3 credits)
Topological spaces, continuity, product spaces, connectedness, separation, compactness and metric spaces. Pre: Math 417.
Math 693 Topics in Topology (3 credits)
Will cover topics at the discretion of the instructor such as (but not limited to) algebraic topology, homotopy theory, homology theory, differential topology, topological groups, topological vector spaces, categorical topology, catastrophe theory, Lie groups, algebras of continuous functions and uniform structures. Pre: Math 692.
Math 694 Alternate Plan Paper (1 credit)
Research under the supervision of the student's advisor leading to an alternate plan paper. Pre: Consent.
Math 695 Workshop (1-4 credits)
A short course devoted to a specific mathematical topic. May be repeated for credit on each new topic.
Math 698 Internship (1-12 credits)
Provides a student the opportunity to gain expertise and experience in a special field under the supervision of a qualified person. Pre: Consent.
Math 699 Thesis (1-4 credits)
Research under the supervision of the student's advisor leading to a thesis. Pre: Consent.
Simple and multiple regression, correlation, analysis of variance and covariance. Pre: Math/Stat 354 or 455.
Stat 551 Experimental Designs (3 credits)
Completely randomized, randomized block, fractional factorial, incomplete block, split-plot, Latin squares, expected mean squares, response surfaces, confounding, fixed effects and random effects models. Pre: Math/Stat 354 or 455.
Stat 555 Theory of Statistics I (4 credits)
A mathematical approach to statistics with derivation of theoretical results and of basic techniques used in applications. Includes probability, continuous probability distributions, multivariate distributions, functions of random variables, central limit theorem and statistical inference. Same as Math 555. Pre: Math 223.
Stat 556 Theory of Statistics II (4 credits)
A mathematical approach to statistics with derivation of theoretical results and of basic techniques used in applications, including sufficient statistics, additional statistical inference, theory of statistical tests, inferences about normal models and nonparametric methods. Same as Math 556. Pre: Math/Stat 455.
Stat 588 Seminar (1-3 credits)
The study of a particular topic primarily based upon recent literature. May be repeated for credit on each new topic.
Stat 598 Internship (1-12 credits)
Provides a student the opportunity to gain expertise and experience in a special field under the supervision of a qualified person.
Stat 653 Linear Models (3 credits)
Matrix theory, multivariate normal distribution, distribution of quadratic forms, estimation and hypothesis testing in the general linear model and applications of linear models. Pre: Math/Stat 455.
Stat 677 Individual Study (1-4 credits)
Independent individual study under the guidance and direction of a graduate faculty member. Pre: Consent.
Stat 680 Topics in Mathematics (1-4 credits)
A graduate course in an area of mathematics not offered as a regular course. May be repeated for credit on each new topic. Pre: Will vary with each topic.
Stat 694 Alternate Plan Paper (1 credit)
Research under the supervision of the student's advisor leading to an alternate plan paper. Pre: Consent.
Stat 696 Statistical Inference Packages (3 credits)
Statistical package programs used in data collection, transformation, organization, summarization, interpretation and reporting, statistical description and hypothesis testing with statistical inference, interpreting outputs, chi-square, correlation, regression, analysis of variance, nonparametrics, and other designs, accessing and using large files (U.S. Census data, National Health Survey, etc.). Same as Coms 690. Pre: A course in statistics.
Stat 698 Internship (1-12 credits)
Provides a student the opportunity to gain expertise and experience in a special field under the supervision of a qualified person. Pre: Consent.
Stat 699 Thesis (1-4 credits)
Research under the supervision of the student's advisor leading to a thesis. Pre: Consent.
