400 Level courses
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• MATH 413(G). PROBLEM SOLVING FOR SECONDARY TEACHERS. (3 hours)
  Non-routine problems from number theory, proportional reasoning, functions, counting techniques, probability, geometry, and linear algebra. Relating these topics to the teaching of secondary mathematics. Prereq: MATH 360 with grade of C or better.

• MATH 414(G). NUMBER THEORY AND ABSTRACT ALGEBRA FOR SECONDARY TEACHERS. (3 hours)
  Equivalence classes, congruence modulo n, divisibility theorems, and the Euclidean algorithm. Introduction to semigroups, abelian groups, rings, and fields. Homomorphisms and isomorphisms. Relating these topics to the teaching of secondary mathematics. Prereq: MATH 360 with a grade of C or better.

• MATH 430(G). COLLEGE GEOMETRY. (3 hours)
  Euclidean and non-Euclidean geometry, presented intuitively and rigorously. Prereq: MATH 360 with a grade of C of better.

• MATH 435(G). INTRODUCTION TO TOPOLOGY. (3 hours)
  Topological spaces and properties. Prereq: MATH 360 with grade of C or better.

• MATH 440(G). VECTOR ANALYSIS. (3 hours)
  Vector algebra, vector calculus, applications in physics and engineering. Fa. Prereq: MATH 302 with grade of C or better.

• MATH 450(G). MATHEMATICAL MODELING. (3 hours)
  Development of mathematical models arising in various areas of application in the physical, biological, and social sciences. Prereq: MATH 350 with a grade of C or better and working knowledge of FORTRAN.

• MATH 451(G). BIOMATHEMATICS I. (3 hours)
  Development and analysis of discrete-time models in biology. Prereq: MATH 301 with a grade of C or better.

• MATH 452(G). BIOMATHEMATICS II. (3 hours)
  Development and analysis of continuous-time models in biology. Prereq: MATH 350 with a grade of C or better.

• MATH 455(G). NUMERICAL ANALYSIS. (3 hours)
  Computer applications for the solution of systems of equations, polynomial approximation, numerical differentiation and integration, numerical solution of differential equations. Prereq: MATH 350 with grade of C or better and working knowledge of a computer language or mathematical software.

• MATH 462(G). LINEAR ALGEBRA. (3 hours)
  Matrix arithmetic, determinants, linear systems, real vector spaces and linear transformations. Fa, Sp. Prereq: MATH 360 with grade of C or better.

• MATH 463(G). ELEMENTARY NUMBER THEORY. (3 hours)
  Prereq: MATH 360 with a grade of C or better or permission of instructor.

• MATH 465(G)-466(G). MODERN ALGEBRA I,II. (3 hours each)
  Introduction to abstract algebraic systems. Prereq: MATH 360 with a grade of C or better or permission of instructor.

• MATH 470(G). TOPICS FOR MATHEMATICS TEACHERS. (3 hours)
  May be repeated for credit as content varies. Not to be applied toward a degree in mathematics. Restr: Permission of instructor.

• MATH 475(G). COMPLEX VARIABLES. (3 hours)
  Theory of functions of a complex variable with applications in physics and engineering. Prereq: MATH 302 with grade of C or better.

• MATH 481(G). COMBINATORIAL MATHEMATICS. (3 hours)
  Algebraic structures, disjunctive normal forms, binomial and multinomial coefficients, generating functions, partitions of integers. Polya's enumeration formula and applications. Fa, Sp, Su. Prereq: MATH 302 with a grade of C or better.

• MATH 483(G). APPLIED GRAPH THEORY. (3 hours)
  Paths, circuits and connectivity, coloring of maps and graphs. Graph traversal algorithms, directed graphs. Network algorithms, spanning trees, pruning analysis with applications. Fa, Sp, Su. Prereq: MATH 301 with a grade of C or better and permission of the department.

• MATH 487(G). COMPUTATIONAL MATHEMATICS. (3 hours)
  Algebraic, symbolic, and numerical computations; modern concepts of visualization; applications towards calculus, differential equations, linear algebra, data analysis, numerical analysis, and special functions. Prereq: MATH 350 with a grade of C or better.

• MATH 491(G). DISCRETE AND INTEGRAL TRANSFORMS. (3 hours)
  Discrete and integral transforms with applications. Sp. Prereq: MATH 350 with grade of C or better.

• MATH 493(G)-494(G). ADVANCED CALCULUS I,II. (3 hours each)
  Rigorous study of the theory of calculus. Fa, Sp. Prereq: MATH 302 and MATH 360 with grade of C or better.

• MATH 495(G). ADVANCED MATHEMATICS FOR ENGINEERS and SCIENTISTS. (3 hours)
  Systems of first order differential equations, partial differential equations, Fourier series, Sturm-Liouville systems, Helmholtz equation, Green's functions, applications in engineering and sciences. Prereq: MATH 350 with grade of C or better.

• MATH 497(G)-498(G). SPECIAL PROJECTS I,II. (3 hours each)
  Special and individual study projects. Prereq: Approval of the department.

• STAT 417(G). BIOMETRY. (3 hours)
  Statistical applications in the biological and health sciences. Topics include descriptive statistics, hypothesis testing, prediction, survey design and analysis, use of statistical software packages. Prereq: STAT 214 with a grade of C or better. Fa, Sp.

• STAT 425(G)-426(G). BASIC THEORY OF STATISTICS I,II. (3 hours each)
  Probability distributions, random variables, moments, sampling theory, estimation, hypothesis testing. Prereq: MATH 302.

• STAT 427(G). STATISTICAL METHODS FOR RESEARCHERS I. (3 hours)
  Applications course useful to researchers in all fields. Probability distributions, measurements of precision and accuracy, control charts, tests of significance, confidence intervals, analysis of variance, use of statistical software packages. Fa, Sp. Prereq: MATH 109.

• STAT 428(G). STATISTICAL METHODS FOR RESEARCHERS II. (3 hours)
  Multiple correlation and regression, design and analysis of experiments, problems from behavioral sciences, biological sciences, and engineering. Prereq: STAT 417 or STAT 427.

• STAT 440(G). APPLIED NONPARAMETRIC STATISTICS. (3 hours)
  Inferential methods where assumptions for parametric tests are questionable. Topics include tests for randomness, goodness of fit, location, spread and correlation. Applications stressed. Prereq: STAT 214 or equivalent.

• STAT 450(G). QUALITY CONTROL. (3 hours)
  Construction and analysis of control charts for variables and attributes, acceptance sampling, tolerances. Prereq: STAT 325 with a grade of C or better.

• STAT 454(G). OPERATIONS RESEARCH. (3 hours)
  Deterministic and probabilistic models of operations research, including linear programming, queuing, and inventory models. Prereq: MATH 250 or MATH 270, and STAT 325.

• STAT 480(G). SEMINAR IN STATISTICS. (3 hours)
  Topics of special interest not covered in detail in other courses. Prereq: Approval of instructor.

• STAT 497(G)-498(G). SPECIAL PROJECTS I,II. (3 hours each)
  Special and individual study projects. Prereq: Approval of the department.

500 Level courses
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• MATH 511-512. TOPICS IN MATHEMATICS FOR MIDDLE SCHOOL TEACHERS I, II. (3 hours each)
  May be repeated for credit as topics vary. For the practicing middle school teacher. Covers various topics in algebra, geometry, number theory, problem solving, probability. Cannot be applied toward a degree in mathematics.

• MATH 513-514. TOPICS IN MATHEMATICS FOR HIGH SCHOOL TEACHERS I, II. (3 hours each)
  May be repeated for credit as topics vary. For the practicing high school teacher. Covers various topics in algebra, geometry, number theory, problem solving, probability. Cannot be applied toward a degree in mathematics.

• MATH 535-536. TOPOLOGY I, II. (3 hours each)
  Detailed study of general topology. Prereq: Approval of the department.

• MATH 537-538. ALGEBRAIC TOPOLOGY I, II. (3 hours each)
  Homology and homotopy theory, manifolds. Prereq: Approval of the department.

• MATH 554. NUMERICAL SOLUTIONS OF DIFFERENTIAL EQUATIONS. (3 hours)
  Finite element method, functional analysis, approximation theory, and other topics. Prereq: MATH 455.

• MATH 555-556. ADVANCED NUMERICAL ANALYSIS I, II. (3 hours each)
  Advanced numerical linear algebra, optimization, nonlinear systems, topics from approximation theory, quadrature, numerical solution of differential equations. Prereq: MATH 455.

• MATH 561-562. LINEAR ALGEBRA AND APPLICATIONS I, II. (3 hours each)
  Vector spaces and linear transformations over fields, matrices, diagonalization, canonical forms, multilinear algebra, spectral decomposition, inner products, normed spaces, and applications. Prereq: MATH 462 or approval of the department.

• MATH 565-566. ABSTRACT ALGEBRA I, II. (3 hours each)
  Theory of groups, rings, fields, and related algebraic structures. Prereq: Approval of the department.

• MATH 570. RESEARCH METHODS. (1-6).
  May be repeated for credit. Prereq: Approval of the department. Grade: NC/CR.

• MATH 573-574. REAL AND FUNCTIONAL ANALYSIS I, II. (3 hours each)
  Measure and integration theory. An introduction to functional analysis. Prereq: MATH 493-494 and approval of the department.

• MATH 575-576. COMPLEX VARIABLES I, II. (3 hours each)
  Theory of functions of a complex variable. Prereq: MATH 493-494 and approval of the department.

• MATH 583-584. THEORY OF DIFFERENTIAL EQUATIONS IN ABSTRACT SPACES I, II. (3 hours each)
  Qualitative and quantitative theory of differential equations in concrete and abstract spaces. Linearization techniques including perturbation theory, theory of Lyapunov, upper and lower solutions method, monotone method and quasilinearization method. Elements of bifurcation and chaos and applications.

• MATH 587. ASYMPTOTIC AND PERTURBATION METHODS. (3 hours)
  Asymptotic expansion, asymptotic analysis, regular and singular perturbation theory. Prereq: MATH 493 or MATH 495, and approval of the department.

• MATH 591. SEMINAR. (1).
  May be repeated when topics vary. Grades: CR/NC.

• MATH 593. NONLINEAR PROBLEMS IN SCIENCE AND ENGINEERING. (3 hours)
  Modeling and applications to various branches of science and engineering, and other topics. Prereq: MATH 495.

• MATH 594. RESEARCH. (3-6).
  To be taken by non-thesis option master's students only. Credit to be 3 hours unless written justification for varied credits is accepted by the Graduate School. Grades: S, U, W.

• MATH 595-596. DIFFERENTIAL EQUATIONS I, II. (3 hours each)
  Cauchy-Kowalewsky theorem, well-posed and ill-posed problems, eigenvalue problems, maximum principles, Green's functions, nonlinear problems. Prereq: MATH 493-494 or MATH 495, and approval of the department.

• MATH 597-598. SPECIAL TOPICS I, II. (3 ea.).
  Special topics or individual study. Prereq: Approval of the department.

• MATH 599. THESIS RESEARCH AND THESIS. (1-6 hours).
  Grades: S, U, W.

• STAT 502. STATISTICAL CONSULTING. (1 hour).
  FOR GRADUATES ONLY

• STAT 520. PROBABILITY THEORY. (3 hours)
  Probability distributions, limit theorems, special functions, probability models. Prereq: Approval of the instructor. Fa.

• STAT 521. APPLIED REGRESSION ANALYSIS AND EXPERIMENTAL DESIGN. (3 hours)
  Least squares, curve fitting, stepwise and multiple regression, response surfaces, correlation analysis, randomized and factorial designs, use of statistical software packages. Prereq: STAT 427 or approval of the instructor. Fa.

• STAT 522. EXPERIMENTAL DESIGN. (3 hours)
  Applications of statistics to the design and analysis of experiments. Prereq: STAT 521. Sp.

• STAT 523-524. MATHEMATICAL STATISTICS I, II. (3 hours each)
  Theory of distributions and statistical inference. Prereq: STAT 520. Sp-Fa.

• STAT 525. STOCHASTIC PROCESSES. (3 hours)
  Counting, Gaussian, stationary, and ergodic processes. Prereq: STAT 520.

• STAT 528. APPLIED TIME SERIES. (3 hours)
  Box-Jenkins Models, including autocorrelation, spectrum, linear, and nonlinear stationary models, model identification, model estimation, seasonal models. Fa. Sp. Su. Prereq: Stat 520 or consent of instructor.

• STAT 530. LINEAR MODELS. (3 hours)
  Linear hypothesis, Gauss-Markov theorem, generalized least squares, analysis of variance, hypothesis testing, orthogonal polynomials, covariance. Prereq: STAT 524.

• STAT 535. APPLIED MULTIVARIATE ANALYSIS. (3 hours)
  Principal component and factor analysis, discriminant and cluster analysis, canonical correlation, multiple analysis of variance. Prereq: STAT 522.

• STAT 540. NONPARAMETRIC STATISTICS. (3 hours)
  Distribution-free testing and estimation techniques. Prereq: STAT 523.

• STAT 545. STATISTICAL COMPUTING. (3 hours)
  Random number generators, techniques for generating data from various distributions, techniques used in statistical software packages, plotting techniques, statistical simulation. Prereq: Approval of instructor.

• STAT 550. ADVANCED QUALITY CONTROL. (3 hours)
  New theoretical developments in statistical quality control. New approaches to quality, the design and comparison of control charts, Markov chain representations of control charts, continuous sampling plans, and the theory of acceptance sampling. Fa. Sp. Su. Prereq: Stat 523 or consent of instructor.

• STAT 568. SAMPLING THEORY. (3 hours)
  Prereq: STAT 427.

• STAT 570. RESEARCH METHODS. (3 hours)
  May be repeated for credit. Prereq: Approval of the department. Grade: NC/CR.

• STAT 580. SPECIAL TOPICS IN APPLIED STATISTICS. (3 hours)
  Prereq: Approval of department.

• STAT 581. SPECIAL TOPICS IN MATHEMATICAL STATISTICS. (3 hours)
  Prereq: Approval of department.

• STAT 594. RESEARCH. (3-6 hours).
  To be taken by non-thesis option master's students only. Credit to be 3 hours unless written justification for varied credits is accepted by the Graduate School. Grades: S, U, W.

• STAT 597-598. SPECIAL TOPICS I, II. (3 hours each)
  Special topics or individual study. Prereq: Approval of the department.

600 Level courses
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• MATH 635-636. ADVANCED TOPICS IN GENERAL TOPOLOGY I, II. (3 hours each)
  May be repeated for credit when topics vary. Prereq: MATH 535-536 and approval of the department.

• MATH 655-656. ADVANCED TOPICS IN NUMERICAL ANALYSIS I, II. (3 hours each)
  May be repeated for credit when topics vary. Prereq: MATH 555-556 and approval of the department.

• MATH 665-666. ADVANCED TOPICS IN ABSTRACT ALGEBRA I, II. (3 hours each)
  May be repeated for credit when topics vary. Prereq: MATH 565-566 and approval of the department.

• MATH 677-678. ADVANCED TOPICS IN ANALYSIS I, II. (3 hours each)
  May be repeated for credit when topics vary. Prereq: Approval of the department.

• MATH 695-696. ADVANCED TOPICS IN APPLIED MATHEMATICS I, II. (3 hours each)
  May be repeated for credit when topics vary. Prereq: Approval of the department.

• MATH 697-698. SEMINAR I, II. (3 hours each).
  Prereq: Approval of the department.

• MATH 699. DISSERTATION RESEARCH AND DISSERTATION. (1-24 hours).
  Grades: S, U, W.

• STAT 622. ADVANCED EXPERIMENTAL DESIGN. (3 hours)
  Construction, theory, and analysis of experimental designs. Prereq: STAT 522 and STAT 523.

• STAT 623-624. ADVANCED STATISTICAL INFERENCE I, II. (3 hours each)
  Sufficient statistics, completeness, bounds of variance for estimators, invariance, UMP tests, general linear hypothesis, confidence ellipsoids, multiple comparisons and decision problems, sequential analysis. Prereq: STAT 524.

• STAT 635. MULTIVARIATE ANALYSIS. (3 hours)
  Multivariate normal distribution, Hotelling's statistic, Wishart distribution, multivariate analysis of variance. Prereq: STAT 523 and STAT 524.

• STAT 640. THEORY OF NONPARAMETRIC STATISTICS. (3 hours)
  Empirical distribution functions, order statistics, tolerance regions, rank order tests, asymptotic distributions. Prereq: STAT 523 and STAT 540.

• STAT 680. SEMINAR IN ADVANCED STATISTICAL INFERENCE. (3 hours)
  Prereq: Approval of the instructor.

800 Level courses
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• MATH 899. EXAMINATIONS ONLY. (3 hours).
  Required of all graduate students taking examinations, oral and/or written, who are not registered for any other course. Fa, Sp, Su. Grades: S, U, W.

• STAT 899. EXAMINATIONS ONLY. (3 hours).
  Required of all graduate students taking examinations, oral and/or written, who are not registered for any other course. Fa, Sp, Su. Grades: S, U, W.