Course Descriptions   Mth Stat

Mth 095
Intermediate Algebra (4)
Topics include problem solving, linear equations, systems of equations, polynomials and factoring techniques, rational expressions, radicals and exponents, quadratic equations. Credit for enrollment (eligibility) but not toward graduation; satisfies no University or general education requirements. Taught through the School of Extended Studies. Recommended prerequisite: Mth 70.

Mth 105
Excursions in Mathematics (4)
Exploration of a variety of modern mathematical topics. Topics may include the mathematics of voting systems, graphs and networks, symmetry in art and nature, population growth, fractals, probability. Intended for students without a strong algebra/calculus background, but with a desire to explore some interesting mathematics. Recommended prerequisite: second-year high school algebra or equivalent.

Mth 111, 112
Introductory College Mathematics I, II (4, 4)
An integrated treatment of topics from algebra and trigonometry. These courses serve as additional preparation for students with insufficient background who desire to take Mth 251, 252, 253. Neither Mth 111 nor 112 can be taken for credit if a grade of C-, P, or above has already been received for a course which requires either of them as a prerequisite. Courses must be taken in sequence. Recommended prerequisite: Mth 111: second year high school algebra or equivalent. Mth 112: Mth 111.

Mth 191, 192, 193
Mathematics Tutoring (3, 3, 3)
Training in one-to-one and small-group tutoring over a wide range of mathematical topics. Mth 191: tutoring in arithmetic and other non-university courses. Mth 192: tutoring in freshmanlevel mathematics. Mth 193: tutoring in sophomore- junior- and senior-level mathematics. Required field work consists of providing tutoring service in the community or University. Prerequisite: consent of instructor.

Mth 199
Special Studies (Credit to be arranged.)

Mth 211, 212, 213
Foundations Of Elementary Mathematics I, II, III (4, 4, 4)
A constructivist approach to fundamental ideas of mathematics. Courses must be taken in sequence. Prerequisite: second year high school algebra or equivalent.

Mth 241
Calculus for Management and Social Sciences (4)
An introduction to differential and integral calculus, this course is intuitive in approach and emphasizes applications. While intended as a terminal course, the interested student may follow it by the more extensive and rigorous calculus sequence Mth 251, 252, 253, 254. Students may not receive credit for this course if they already have credit for Mth 251. Prerequisite: Mth 111.

Mth 251, 252, 253
Calculus I, II, III (4, 4, 4)
Differential and integral calculus of functions of a single variable, analytic geometry, infinite series, and applications. Courses must be taken in sequence. Recommended prerequisite: Mth 112.

Mth 254
Calculus IV (4)
An introduction to differential and integral calculus of functions of several variables and applications. Prerequisites: Mth 252, 261.

Mth 256
Applied Differential Equations I (4)
Solution techniques in ordinary differential equations; applications. Prerequisite: Mth 252, 261.

Mth 261
Introduction to Linear Algebra (4)
Introduction to rudimentary set theory, the algebra of sets, systems of linear equations, linear transformations, matrix algebra, vector spaces, and determinants. Recommended prerequisite: Mth 112

Mth 271
Mathematical Computing (4)
Machine representation of the real number field and its consequences. Elements of error analysis. Introduction to the design, analysis, and stability of algorithms. Well/ill-conditioned problems. Programming, graphics, numeric and symbolic computations in MATLAB (a high level programming environment). Examples and applications in mathematics, science, and engineering. Prerequisite: Mth 253, 261.

Mth 301, 302, 303
Elements of Modern Mathematics I, II, III (4, 4, 4)
Topics selected from arithmetic, algebra, geometry, calculus, probability, and statistics. A cultural approach to mathematics in which technical proficiency is not the primary objective. Recommended for liberal arts students. Prerequisite: Mth 111.

Mth 311
Advanced Calculus (4)
Properties of the real numbers, introduction to metric spaces, Euclidean spaces, functions of a real variable, limits, continuity, the extreme and intermediate value theorems, sequences. Prerequisite: Mth 253, 261.

Mth 312, 313
Advanced Multivariate Calculus (4, 4)
Differential and integral calculus of functions of several variables, the inverse and implicit function theorems, infinite and power series, differential forms, line and surface integrals, Green’s, Stokes’, and Gauss’ theorems. Courses must be taken in sequence. Prerequisite: Mth 311.

Mth 322
Applied Differential Equations II (4)
Introduction to equations of mathematical physics, boundary value problems, separation of variables, power series techniques, Fourier series, and applications. Prerequisites: Mth 254, 256.

Mth 324
Vector Analysis (4)
Modern vector methods with applications for students of mathematics, physics, and engineering. Prerequisite: Mth 254.

Mth 338
Modern College Geometry (4)
Topics in Euclidean and non-Euclidean geometry. Prerequisites: Mth 252, 261.

Mth 343
Applied Linear Algebra (4)
Topics in matrix algebra, determinants, systems of linear equations, eigenvalues, eigenvectors, and linear transformations. Selected applications from science, engineering, computer science, and business. Prerequisites: Mth 252, 261.

Mth 344
Introduction to Group Theory and Applications (4)
Groups, homomorphisms, factor groups. Selected applications from geometry, combinatorics, computer science, chemistry. Prerequisites: Mth 252, 261.

Mth 345
Introduction to Ring and Field Theory (4)
Topics in rings, integral domains, fields, ordered fields, polynomial rings. The development of the real number system. Prerequisite: Mth 344.

Mth 346
Number Theory (4)
A presentation of the properties of numbers as found in the theory of divisibility, congruence, diophantine equations, continued fractions, and algebraic numbers. Prerequisites: Mth 252, 261.

Mth 356
Discrete Mathematics (4)
Topics in discrete mathematics, including propositional logic, sets, relations, inverse functions, divisibility, induction, recurrences, inclusionexclusion, permutations, combinations, graphs, graph coloring, and applications. Prerequisite: Mth 253. Recommended: Mth 261.

Mth 399
Special Studies (Credit to be arranged.)

Mth 401/501
Research (Credit to be arranged.)
Consent of instructor.

Mth 404/504
Cooperative Education/Internship (Credit to be arranged.)

Mth 405/505
Reading and Conference (Credit to be arranged.)
Consent of instructor.

Mth 407/507
Seminar (Credit to be arranged.)
Consent of instructor.

Mth 410/510
Selected Topics (Credit to be arranged.)
Consent of instructor.

Mth 411/511, 412/512, 413/513
Introduction to Real Analysis I, II, III (3, 3, 3)
Sequences and series of functions; Lebesgue measure and integration; the Stone-Weierstrass and Baire category theorems; Fourier Series; elements of functional analysis. Courses must be taken in sequence. Prerequisite: Mth 312.

Mth 420/520
Introduction to Complexity Theory (3)
An introduction to theoretical computer science. Includes a study of models of computation, complexity classes, Cook’s theorem, polynomial and nonpolynomial classes, discrete problems. Prerequisite: Mth 344.

Mth 421/521, 422/522, 423/523
Theory of Ordinary Differential Equations I, II, III (3, 3, 3)
Vector fields and phase flows in the plane. Geometric and algebraic properties of linear systems. Existence, uniqueness, and continuity theorems for systems. Additional topics. Courses must be taken in sequence. Prerequisites: Mth 312.

Mth 424/524, 425/525
Elementary Differential Geometry and Tensor Analysis I, II (3, 3)
Differential geometry of curves and surfaces; elementary Riemannian geometry; tensors and their algebra; elements of tensor analysis; applications from mechanics and field theory. Courses must be taken in sequence. Prerequisite: Either Mth 256 or 421.

Mth 427/527, 428/528
Partial Differential Equations I, II. (3, 3)
Solution techniques, qualitative analysis and applications: separation of variables, eigenfunction expansion, Sturm-Liouville problems, Green's functions, Fourier transform solutions, finite difference and finite element methods. Courses must be taken in sequence. Prerequisites: Mth 256, Mth 253/254. Prior knowledge of PDEs (Mth 322) is recommended, but not required.

Mth 430/530
Topics in Mathematical Modeling (3)
Basic introduction to mathematical model building starting with prototype, model purpose defi- nition, and model validation. Models will be chosen from life, the physical and social sciences. Applications chosen from differential equations, linear programming, group theory, probability or other fields. Prerequisites: Consent of instructor and either Mth 256 or 421/ 521. With approval, this course may be repeated for credit.

Mth 431/531, 432/532, 433/533
Topics in Geometry I, II, III (3, 3, 3)
Topics selected from projective geometry, non- Euclidean geometry, algebraic geometry, convexity, differential geometry, foundations of geometry, combinatorial topology. With departmental approval, this sequence may be repeated for credit. Prerequisite: Mth 311, 338, or 344.

Mth 434/534, 435/535, 436/536
Set Theory and Topology I, II, III (3, 3, 3)
Cardinal and ordinal numbers. The axiom of choice and equivalent formulations. Introduction to general topology with the notions of interior, closure, topological space, continuity, and homeomorphism. Construction techniques and properties of point-set topology, especially connectedness, compactness, and separation. Additional topics. Courses must be taken in sequence. Prerequisite: Mth 311.

Mth 440/540
Boolean Algebra (4)
Axiomatic treatment of Boolean algebras, finite Boolean algebras, representation theorems. Introduction to partially ordered sets and lattices. Transfinite induction, Zorn’s lemma. Applications to logic and switching circuits. Prerequisite: Mth 344.

Mth 441/541, 442/542, 443/543
Introduction to Abstract Algebra I, II, III (3, 3, 3)
Groups and rings with homomorphism theorems, vector spaces, modules, algebraic theory of fields and Galois theory, lattices, algebras. Prerequisites: Mth 344. Courses must be taken in sequence.

Mth 444/544, 445/545
Advanced Linear/Multilinear Algebra I, II (3, 3)
A second course in linear algebra. Products, quotients, and duals of vector spaces. Multilinear maps, tensor products, exterior algebra. Minimal and characteristic polynomials, canonical forms. Finite dimensional spectral theory. With departmental approval, this sequence may be repeated for credit. Courses must be taken in sequence. Prerequisites: Mth 344.

Mth 449/549
Topics in Advanced Number Theory (3)
A study of advanced topics selected from the areas of algebraic or analytic theory. With departmental approval, this course may be repeated for credit. Prerequisite: Mth 346.

Mth 451/551, 452/552, 453/553
Numerical Calculus I, II, III (3, 3, 3)
Computer arithmetic. Solution of nonlinear equations. Interpolation. Numerical integration and differentiation. Solution of linear equation systems. Eigenvalue problem, least square, chebyshev, trigonometric and rational function approximation. Numerical solution of differential equations. Prerequisites: knowledge of FORTRAN or PASCAL, Mth 253, 261 for Mth 451/551, Mth 451/551 for Mth 452/552, Mth 322 for Mth 453/553.

Mth 457/557, 458/558
The Mathematical Theory of Games (3,3)
Introduction to mathematical game theory and game theoretic analysis. Topics include: combinatorial and strategic games, Perfect Competition, Zermelo's Algorithm, Payoffs, cooperative and non-cooperative games, bargaining, mixed strategies, Nash Equilibrium, repeated games and finite automata, common knowledge and incomplete information, the prisoner's dilemma. Selected applications to economics, biology, computer science, and political science. Prerequisite: Mth 261 and/or Stat 243.

Mth 461/561, 462/562
Graph Theory I, II (3, 3)
Topics in graph theory, including connectivity, matchings, graph algorithms, network flows, graph matrices, isomorphisms, Eulerian and Hamiltonian graphs, spanning trees, decompositions, shortest paths, the matrix-tree theorem, colorings of graphs, planarity and embeddings, Kuratowski's theorem, matroids, and selected applications. Courses must be taken in sequence. Prerequisites: Mth 261, 356.

Mth 467/567, 468/568
Applied Probability I, II (3, 3)
Finite probability, Markov chains, queuing theory, renewal theory, optimization under uncertainty. Courses must be taken in sequence. Prerequisite: Mth 254 or Stat 461/561.

Mth 470/570, 471/571, 472/572
Complex Analysis and Boundary Value Problems I, II, III (3, 3, 3)
Fundamental concepts of complex variables, partial differential equations and boundary value problems using Fourier series. Prerequisites: Mth 254 and either 256 or 421.

Mth 480/580
Systems Analysis: Calculus of Variations (3)
Basic problems of the calculus of variations. Euler equations. Lagrange conditions. Lagrange multipliers. Lagrange equations. Hamilton’s equations. Application to mechanical and electrical systems. Prerequisite: Mth 256 or 422/522.

Mth 481/581
Probability for Mathematics Teachers (3, 2-3)
Introduction to probability as a modeling technique in mathematics and methods of teaching probability. Use of probability in decision making and inference. Simulation of experiments. Methods of enumeration. Laws of probability. Special probability distributions. Computer-assisted analysis. Prerequisite: at least two upper-division courses approved for major credit.

Mth 482/582
Statistics for Mathematics Teachers (3, 2-3)
Introduction to methods of statistical analysis and methods for teaching statistics. Descriptive statistics, organization of data, sampling techniques, sampling distributions, methods of statistical inference, estimation, hypothesis testing, regression, and correlation. Computer-assisted analysis. Prerequisite: at least two upper-division courses approved for major credit.

Mth 483/583
Topics in Geometry for Mathematics Teachers (3, 2-3)
Selected topics in geometry for mathematics teachers. Prerequisite: at least two upper-division courses approved for major credit.

Mth 484/584
Topics in Algebra for Mathematics Teachers (3, 2-3)
Selected topics in algebra for mathematics teachers. Prerequisite: at least two upper-division courses approved for major credit.

Mth 485/585
Topics in Analysis for Mathematics Teachers (3, 2-3)
Selected topics in analysis for mathematics teachers. Prerequisite: at least two upper-division courses approved for major credit.

Mth 486/586
Topics in The History of Mathematics (3, 2-3)
Selected topics in the historical development of mathematics. With departmental approval, this course may be repeated for credit. Prerequisite: at least two upper-division courses approved for major credit.

Mth 487/587
Topics in Combinatorial Analysis (3, 2-3)
Selected topics from: permutations and combinations, partitions, generating functions, inclusion and exclusion principles, recurrence relations, Polya's theory of counting, elementary theory of graphs and trees, block designs. With departmental approval may be repeated for credit. Prerequisite: at least two upper-division courses approved for major credit.

Mth 488/588
Topics in Technology for Mathematics Teachers (3, 1-3)
Hands-on experience in the study of the role of computer software and calculators in the teaching and learning of mathematics. With departmental approval may be repeated for credit. Prerequisite: at least two upper-division courses approved for major credit.

Mth 490/590
Computing in Mathematics for Middle School Teachers (3)
A study of the role of computing in mathematics with emphasis on the use of modern technology. Not approved for major credit. Available for graduate credit toward the graduate certificate program in middle school mathematics. Prerequisites: Mth 111, 212.

Mth 491/591
Experimental Probability and Statistics for Middle School Teachers (3)
A study of probability and statistics through laboratory experiments, simulations, and applications. Not approved for major credit. Available for graduate credit toward the graduate certificate program in middle school mathematics. Prerequisites: Mth 111, 212.

Mth 492/592
Problem Solving for Middle School Teachers (3)
Examination and application of problem-solving techniques and strategies. Problems are drawn from various areas of mathematics. Not approved for major credit. Available for graduate credit toward the graduate certificate program in middle school mathematics. Prerequisites: Mth 111, 212.

Mth 493/593
Geometry for Middle School Teachers (3)
Selected topics from informal geometry, both two- and three-dimensional. Not approved for major credit. Available for graduate credit toward the graduate certificate program in middle school mathematics. Prerequisites: Mth 111, 212.

Mth 494/594
Arithmetic and Algebraic Structures for Middle School Teachers (3)
The study of the real number system and its subsystems will lead to the introduction of more general algebraic structures and their applications. Not approved for major credit. Available for graduate credit toward the graduate certifi- cate program in middle school mathematics. Prerequisites: Mth 111, 212.

Mth 495/595
Historical Topics in Mathematics for Middle School Teachers (3)
A survey of the historical development of topics in mathematics from ancient to modern times, with special emphasis on topics in arithmetic, algebra and informal geometry. Not approved for major credit. Available for graduate credit toward the graduate certificate program in middle school mathematics. Prerequisites: Mth 493/593, 494/594.

Mth 496/596
Concepts of Calculus for Middle School Teachers (3)
An introduction to the limit concept and its role in defining the derivative, the integral and infi- nite series. Applications to middle school mathematics. Not approved for major credit. Available for graduate credit toward the graduate certifi- cate program in middle school mathematics. Prerequisites: at least two middle school courses.

Mth 503
Thesis (Credit to be arranged.)

Mth 601
Research (Credit to be arranged.)

Mth 603
Thesis (Credit to be arranged.)

Mth 604
Cooperative Education/Internship (Credit to be arranged.)

Mth 605
Reading and Conference (Credit to be arranged.)

Mth 607
Seminar (Credit to be arranged.)

Mth 610
Selected Topics (Credit to be arranged.)

Mth 611, 612, 613
Theory of Functions of a Real Variable I, II, III (3, 3, 3)
Lebesgue measure and outer measure, measurable functions and the Lebesgue integral, convergence theorems, product measures, and Fubini's theorem. Lp spaces, derivates, derivative, finite variation and absolutely continuous functions. Courses must be taken in sequence. Recommended prerequisite: Mth 412/512.

Mth 614, 615, 616
Modern Analysis I, II, III (3, 3, 3)
Topics from nonlinear analysis, harmonic analysis, analytic functions, ordered vector spaces, analysis on Lie groups, and operator theory. Recommended prerequisite: Mth 412/512.

Mth 617, 618, 619
Functional Analysis I, II, III (3, 3, 3)
Hilbert and Banach spaces, the Hahn-Banach, open mapping, and closed graph theorems. Compact, self-adjoint, normal, and Fredholm operators. Locally convex spaces, weak topologies, duality. Banach- and C* -algebras, spectral theory. Courses must be taken in sequence. Recommended prerequisite: Mth 412/512.

Mth 621, 622, 623
Advanced Differential Equations I, II, III (3, 3, 3)
Advanced theory of dynamial systems and partial differential equations including the basics of partial differential equations, boundary value problems for elliptic equations, the Cauchy problem, and parabolic equations. Topics selected from Hamiltonian systems, waves and shocks, variational methods, control theory. Prerequisite: Mth 423/523 or 472/572.

Mth 624, 625, 626
Advanced Differential Geometry I, II, III (3, 3, 3)
Topics selected from differentiable manifolds, differential forms, DeRham cohomology, Lie groups, fibre bundles, the Riemannian metric, affine and Riemannian connections, parallel translations, holonomy, geodesics, curvature, isometric embeddings and hypersurfaces, the Second Fundamental Form, complete Riemannian manifolds and the Hopf-Rinow theorem, spaces of constant curvature, variations of arc length, and the Morse Index theorem. Recommended prerequisite: Mth 425/525.

Mth 634, 635, 636
Algebraic Topology I, II, III (3, 3, 3)
Topics from singular and simplicial homology and cohomology theories, fundamental group and covering spaces, CW complexes and elements of homotopy theory, algebraic theory of manifolds, introduction to differential topology and vector bundles, applications. Courses must be taken in sequence. Recommended prerequisites: Mth 435/ 535 and 444/544.

Mth 637, 638, 639
Geometric Topology I, II, III (3, 3, 3)
Topics from geometric and piecewise linear topology, knots and 3-manifolds and gauge theories, geometric structures and geometrization of manifolds, applications to differential topology, vector bundles and to mathematical physics. Recommended prerequisite: Mth 436/536.

Mth 641, 642, 643
Modern Algebra I, II, III (3, 3, 3)
Topics from groups, semigroups, rings, fields, algebras, and homological algebra. Recommended prerequisite: Mth 443/543 or both 442/542 and 445/545.

Mth 651, 652, 653
Advanced Numerical Analysis I, II, III (3, 3, 3)
An advanced study of numerical methods with emphasis on theory, economy of computation, and the solution of pathological problems. Topics will typically be chosen from: evaluation of functions, roots of equations, quadrature, ordinary and partial differential equations, integral equations, eigenvalues, construction of approximating functions, orthonomalizing codes, and treatment of singularities. Courses must be taken in sequence. Recommended prerequisite: Mth 453/553.

Mth 661, 662, 663
Algebraic Graph Theory I, II, III (3, 3, 3)
Topics selected from algebraic and spectral graph theory, including automorphism groups, transitivity, primitivity, homomorphisms, generalized polygons, designs, projective planes, cores, fractional colorings and cliques, spectral decomposition, eigenvalue interlacing, strongly-regular and distance-regular graphs, line graphs, root systems, graph laplacians, graph polynomials, and graph-theoretic link invariants. Courses must be taken in sequence. Prerequisite Mth 462/562.

Mth 667, 668, 669
Stochastic Processes and Probability Theory I, II, III (3, 3, 3)
Sets, spaces, and measures. Probability distributions. Random variables. Dependence. Limit theorems. Birth and death processes and Markov processes. Mathematical statistics, hypothesis testing, and sequential analysis. Selected applications. Courses must be taken in sequence. Recommended prerequisite: Mth 411/511, Stat 463/563.

Mth 690
Introduction to Research in Mathematics Education (3)
Topics in the history of mathematics education including an examination of the current research trends in mathematics education.

Mth 691
Curriculum in Mathematics Education (3)
An analysis of curriculum development and assessment efforts in mathematics education both past and present.

Mth 692
Research Methodology and Design (3)
An examination of quantitative and qualitative research methodologies and their applications to the design of research in mathematics education.

Mth 693
Research on the Learning of Mathematics (3)
An analysis of the mathematics education research on the learning of mathematics, including topics from K-16 mathematics.

Mth 694
Research on the Teaching of Mathematics (3)
An analysis of the research on the teaching of mathematics, including issues from levels K-16.

Mth 695
Topics in Research in Mathematics Education (3)
A special topics seminar devoted to exploring particular issues in more depth. The following in-service courses have limited application toward advanced degrees.

Mth 801
Research (Credit to be arranged.)

Mth 802
Independent Study (Credit to be arranged.)

Mth 804
Cooperative Education/Internship (Credit to be arranged.)

Mth 805
Reading and Conference (Credit to be arranged.)

Mth 806
Special Problems/Projects (Credit to be arranged.)

Mth 807
Seminar (Credit to be arranged.)

Mth 808
Workshop (Credit to be arranged.)

Mth 809
Practicum (Credit to be arranged.)

Mth 810
Selected Topics (Credit to be arranged.)

Stat 105
Elementary Data Analysis (4)
A course in exploration of data analysis and basic statistical topics. May include descriptive statistics, graphical and tabular summaries, computer software, confidence intervals, correlation and regression. Recommended: secondyear high school algebra or equivalent.

Stat 199
Special Studies (Credit to be arranged.)

Stat 243, 244
Introduction to Probability and Statistics I, II (4, 4)
A basic course in statistical analysis including presentation of data probability, probability distributions, sampling distributions, estimation, tests of significance, experimental design and analysis of variance, regression and correlation, nonparametric statistics, selected topics, applications, and use of statistical computer packages. A broad nontechnical survey designed primarily for non-math students who need to utilize the subject in their own fields. Not approved for major credit. Courses must be taken in sequence. Prerequisite: second year high school algebra or equivalent, or satisfactory score on the placement exam.

Stat 366
Introduction to Experimental Design (4)
Nonparametric statistics, multiple regression, topics in experimental design analysis of variance, factorial designs, analysis of covariance, other designs. Prerequisite: Stat 244.

Stat 399
Special Studies (Credit to be arranged.)

Stat 401/501
Research (Credit to be arranged.)
Consent of instructor.

Stat 404/504
Cooperative Education/Internship (Credit to be arranged.)

Stat 405/505
Reading and Conference (Credit to be arranged.)
Consent of instructor.

Stat 407/507
Seminar (Credit to be arranged.)
Consent of instructor.

Stat 410/510
Selected Topics (Credit to be arranged.)
Consent of instructor.

Stat 451/551, 452/552
Applied Statistics for Engineers and Scientists I, II (4, 3)
An introduction to techniques of applied probability, statistics, and data analysis. Stat 451/551: sample spaces, probability and counting measures, discrete and continuous probability models, sampling theory, and computer applications. Stat 452/552: point and interval estimation, hypothesis testing, regression, correlation, experimental design, analysis of variance, multivariable experiments, nonparametrics, statistical quality control, and computer applications. Prerequisite: Mth 253.

Stat 461/561, 462/562, 463/563
Introduction to Mathematical Statistics I, II, III (3, 3, 3)
Theory of probability, distributions of random variables, central limit theorem, sampling distributions, point and interval estimation, tests of hypotheses, analysis of variance. Courses must be taken in sequence. Prerequisite: Mth 256.

Stat 464/564
Applied Regression Analysis (3)
Basic concepts of regression analysis, matrix approach to linear regression selecting the “best” regression equation, and multiple regression. Computational algorithms and computer software regression packages. Applications in science, engineering, and business. Prerequisites: Mth 343 and either Stat 451/551 or 461/561.

Stat 465/565, 466/566
Experimental Design: Theory and Methods (3, 3)
A theoretical and applied treatment of experimental design; analysis of variance, fixed effect models, random effects models, checking model adequacy; block designs, Latin squares, related designs; incomplete designs; factorial designs, confounding two-level designs, split-plot designs; fractional factorial designs; nested designs; relation to regression analysis; analysis of covariance. All sections will illustrate real world applications with computer usage. Prerequisite: Stat 464/564.

Stat 470/570
Statistical Consulting (1)
Introduction to techniques and methods of statistical consulting. Faculty supervised consulting sessions with clients on appropriate projects brought to the Statistics Consulting Laboratory. Data and/or statistical problems, from within and outside the University, are provided by clients and interdisciplinary guest lecturers. Introduction to and proficiency with various statistical computing packages as data analytic tools. A community-based learning course.

Stat 503
Thesis (Credit to be arranged.)

Stat 543
Survey of Statistical Methods (4)
An introductory, discipline-neutral course in statistical analysis to prepare graduate students for research methods courses in other departments. Topics include descriptive statistics, confidence intervals, hypothesis tests, regression and correlation, analysis of variance, chi-squared tests, and use of statistical software.

Stat 571
Applied Multivariate Statistical Analysis (3)
Introduction to techniques and methods of multivariate statistical analysis. Deals with vectorvalued data generated on individual experimental units. Applies the methods of vector analysis and matrix algebra to statistical problems of estimation and hypothesis testing, based primarily on the multivariate normal distribution. Computing to be an integral part of the course. Calculations will be done using a software package such as SAS or SPSS. Recommended prerequisites: Stat 244, Mth 254 and 343.

Stat 573
Computer Intensive Methods in Statistics (3)
Resampling methods in statistics using empirical data, programming with statistical software, review materials (sampling distributions, hypothesis testing, confidence interval construction, and design of experiments), resampling version of review materials, and applications. Recommended prerequisites: Stat 452/552 or 466/566.

Stat 576
Sampling Theory and Methods (3)
Introduction to the theory and methodology of random sampling. Includes stratified, cluster, systematic, and multi-stage sampling. Applications include sampling design and analysis, as well as sample weighting and sampling with unequal probabilities. Recommended prerequisite: Stat 451/551

Stat 577
Categorical Data Analysis (4)
Topics include cross-tabulation statistics for matched samples, and methods to assess confounding and interaction via stratified tables. Students explore logistic regression in some detail, and relate results back to those found with stratified analyses. Topics for logistic regression will include: parameter interpretation, statistical adjustment, variable selection techniques, and model fit assessment. Statistical software is used. Recommended prerequisite: Stat 452/552.

Stat 578
Survival Analysis (3)
Time-to-event data subject to random and/or deliberate censoring. Specialized models and procedures that accommodate censoring are presented. Parametric models and methods, including accelerated failure time models, the Kaplan- Meier estimate of survival, Cox proportionate hazards model, the extended Cox model, and frailty models. Software package such as S-PLUS is used. Recommended prerequisite: Stat 452/552.

Stat 601
Research (Credit to be arranged.)

Stat 603
Dissertation (Credit to be arranged.)

Stat 604
Cooperative Education/Internship (Credit to be arranged.)

Stat 605
Reading and Conference (Credit to be arranged.)

Stat 607
Seminar (Credit to be arranged.)

Stat 610
Selected Topics (Credit to be arranged.)

Stat 661, 662, 663
Advanced Mathematical Statistics I, II, III (3, 3, 3)
Theory of estimation; tests of statistical hypotheses. Single and multi-parameter cases. Robustness. Classical notions, including lower bound theory, sufficiency, and maximum likelihood estimation. The Neyman-Pearson construction, likelihood ratio tests, robust analogues. Recommended prerequisites: Mth 511, Stat 563.

Stat 664, 665, 666
Theory of Linear Models I, II, III (3, 3, 3)
Multivariate normal distribution; moments and characteristic functions; noncentral Chi-square and noncentral F distributions; distribution of quadratic forms; estimation and distribution of estimators; principles of maximum likelihood and least squares; confidence regions and tests of hypotheses; regression models; Wishart distribution; Hotelling's T2 statistic. Courses must be taken in sequence. Recommended prerequisite: Stat 463/563.