Statistics Course

## Mathematics Courses

**0900. Elements of Algebra.**

Review of elementary algebra in preparation for Math 1010. Remedial class not carrying USU or transfer credit. Remedial fee required. (3 cr) (F,Sp,Su) ©

**1010. Intermediate Algebra. **

Linear equations and inequalities, polynomials and exponents, rational expressions, roots and radicals, quadratic equations, lines and systems of linear equations. Prerequisite: Math 0900 or Math ACT score of at least 18, or satisfactory score on placement exam. Required for entrance to USU. Course fee required. (4 cr) (F,Sp,Su) ©

**1030. Quantitative Reasoning.**

(QL) Exploration of contemporary mathematical thinking, motivated by its application to problems in modern society. Emphasizes development of skill in analytical reasoning. Prerequisite: C or better in Math 1010, ACT score of at least 23 or satisfactory score on placement exam. (3 cr) (F,Sp,Su)

**1050. College Algebra (QL).**

Real and complex number systems, graphs, inverse functions, polynomial and rational functions, exponential and logarithmic functions, systems of equations, elementary matrix algebra, induction, binomial theorem, permutations and combinations. Graphing calculator required. Prerequisite: C or better in Math 1010, or Math ACT score of at least 23, or satisfactory score on placement exam. (4 cr) (F,Sp,Su) ©

**1060. Trigonometry.**

Trigonometric functions, equations, identities, and applications. Graphing calculator required. Prerequisite: C or better in Math 1010, or Math ACT score of at least 23, or satisfactory score on placement exam. May be taken concurrently with Math 1050. (2 cr) (F,Sp,Su)

**1100. Calculus Techniques (QL).**

Techniques of elementary calculus, differentiation, integration, elementary optimization, and introduction to partial derivatives. Applications in business, social science, and natural resources. Graphing calculator required. Prerequisite: Math 1050 or a math ACT score of at least 25. (3 cr) (F,Sp,Su)

**1210. Calculus I (QL).**

Analytic geometry, differential and integral calculus, transcedental functions, and applications. Graphing calculator required. Prerequisites: Math 1050 and 1060, or AP math score of at least 3 on Calculus AB test, or a math ACT score of at least 27. (4 cr) (F,Sp,Su)

**1220. Calculus II (QL).**

Integration, infinite series, introduction to vectors, and applications. Graphing calculator required. Prerequisite: Math 1210, or AP score of at least 4 on calculus AB exam or at least 3 on calculus BC exam. (4 cr) (F,Sp,Su)

**2020. Introduction to Logic and Geometry (QI).**

Logic; introduction to algebraic geometry and Euclidean geometry. Math 2020 is a mathematics content course, not a methods course. Prerequisite: Math 1050 or math ACT score of at least 25. Course fee required (3 cr) (F,Sp)

**2210. Multivariable Calculus (QI).**

Vector calculus, multiple integration, partial derivatives, line and surface integrals. The theorems of Green, Gauss, and Stokes. Prerequisite: Math 1220 or AP calculus score of 5 on BC exam. (3 cr) (F,Sp,Su)

**2250. Linear Algebra and Differential Equations (QI). **

Linear systems, abstract vector spaces, matrices through eigenvalues and eigenvectors, solution of ode's, Laplace transforms, first order systems. Prerequisite: Math 1220 or AP calculus score, of 5 on BC exam. (4 cr) (F,Sp,Su)

**2260. Internship and Cooperative Studies.**

Lower-division internship/cooperative work experience. (1-6 cr) (F,Sp,Su) ®

**2270. Linear Algebra (QI). **

Topics from linear algebra, including matrices, abstract vector spaces, linear independence, bases, eigenvalues, eigenvectors, orthogonality, least squares approximation, and linear transformations. Recommended for Math and Math Education majors. Prerequisite: Math 1220 or AP math score of 5 on calculus BC exam. (3 cr) (F)

**2280. Ordinary Differential Equations (QI).**

First-order differential equations: solution techniques, numerical methods and applications. Higher-order scalar equations; linear systems, phase plane analysis. Additional topics selected from: series solution techniques, boundary value problems, Sturm-Liouville theory, bifurcation analysis. Prerequisites: Math 2210 and 2270. (3 cr) (Sp)

**2910. Directed Reading and Conference.**

Prerequisite: Prior arrangement with specific instructor. (1-3 cr) (F,Sp,Su) ®

**3110. Modern Geometry.**

Euclidean and non-Euclidean geometry, with emphasis on historical significance of parallel postulate. Axiomatic development of geometry and theorems. Prerequisite: Math 1220. (3 cr) (Sp)

**3300. School Laboratory for Mathematics Teachers Level I.**

Provides preservice mathematics teachers with supervised experiences working with teachers and students in middle and secondary schools. Activities coordinated with other Level I professional education courses, including Math 4500 and ScEd 3100. Concurrent enrollment required in InsT 5200, ScEd 3210, and a special methods course. (1 cr) (F,Sp)

**3310. Discrete Mathematics.**

Logic and axiomatics, sets, functions, counting methods, recurrence relations, graph theory, Boolean algebra, Combinatorial circuits, automata, grammars, and language. Prerequisite: Math 1220.

(3 cr) (F,Sp,Su)

**4200. Foundations of Analysis (CI). **

Fundamental concepts of analysis studied from a rigorous point of view. Rigorous development of the real number system and calculus. Emphasis on learning how to construct proofs. Prerequisites: Math 2210, 2250; or Math 2210, 2270, 2280. (3 cr) (F,Sp)

****4230. Applied Mathematics in Biology (QI).**

Formulation, analysis, and experimental tests of mathematical models in biology. Combines mathematics, computing, experimental design, and statistical analysis while applying the scientific method to biological systems. Lectures, recitations, and a laboratory. Prerequisites: Biol 1220; Math 2250; or permission of instructor. Programming experience recommended. Also taught Biol 4230. (3 cr) (Sp)

**4250. Advanced Internship/Co-op.**

An internship/cooperative work experience which has been determined by the department to be at the 4000-level. (1-6 cr) (F,Sp,Su) ®

**4300. School Laboratory for Mathematics Teachers Level II.**

Provides preservice mathematics teachers with supervised experiences working with teachers and students in middle and secondary schools. Activities coordinated with other Level II professional education courses, including Math 4500 and ScEd 4100. Concurrent enrollment required in SpEd 4000, ScEd 4200, 4210 and a special methods course. (1cr) (F,Sp)

**4310. Introduction to Algebraic Structures (CI).**

First course in theory of algebraic structures. Topics include elementary group and ring theory. Prerequisites: Math 2210, 2270, 2280; or Math 2210, 2250. (3cr)(F,Sp) ®

**4400. History of Mathematics and Number Theory.**

Chronological parallel of math history with cilvilization, evolution of mathematical thought, historical foundations of numbers, computation, geometry, algebra, trigonometry, and calculus. Prerequisites: At least one of Math 4200 and 4310, and concurrent enrollment in the other. (3 cr) (Sp)

**4500. Methods of Secondary School Mathematics Teaching. **

A teaching methods course required of all prospective secondary school mathematics teachers. Prerequisites: Math 3110, and one of Math 4200 or 4300. (3 cr) (F,Sp)

**4620. Computer Aided Math for Secondary Math Teachers. **

Problem solving using symbolic manipulation software on computers. Topics include material introduced in Math 1210, 1220, 2210, 2250, 2270, and 2280. Includes instruction in the use of modern computerized devices in the classroom. Prerequisites: Math 2210, 2250; or Math 2210, 2270, 2280. (3 cr) (F)

**4700. Engineering Mathmatics and Statistics.**

Advanced engineering mathematics & statistics including random variables, distributions, central limit theory, hypothesis testing, Anova, quality control, Fourier series, time series, introductory analytic and numerical methods for elliptic, parabolic, and hyperbolic PDE's, modern software packages. Prerequisites: Math 2210; and 2250 or 2280. (3 cr) (F,Sp)

**4910. Directed Reading and Conference.**

Registration requires prior arrangement with specific instructor. (1-3 cr) (F,Sp,Su) ®

****5110. Differential Geometry.**

Introduction to geometry of curves and surfaces in three dimensions, using graphic and symbolic software. Prerequisites: Math 2210, 2250; or Math 2210, 2270, 2280. (3 cr) (F)

**5210. Introduction to Analysis I.**

One and several variable calculus from an advanced point of view. Proofs of all main theorems in calculus. Prerequisite: Math 4200 or 5510. (3 cr) (F)

**5220. Introduction to Analysis II.**

Continuation of Math 5210. Rigorous development of multivariable advanced calculus. Prerequisite: Math 5210. (3 cr) (Sp)

****5270. Complex Variables.**

Basic theory and applications of complex variables for mathematics, physics, and engineering students. Topics include analytic functions, contour integration, and residue theorem conformal mappings. Prerequisites: Math 2210, 2250; or Math 2210, 2270, 2280. (3 cr) (Sp)

****5310. Introduction to Modern Algebra.**

Continuation of Math 4310. Topics include: Sylow theory for finite groups, factorization theory for commutative rings, and Galois theory. Prerequisite: Math 4310. (3 cr) (Sp)

***5340. Theory of Linear Algebra.**

Vector space theory, linear transformations and matrices, eigenvalues and eigenvectors, inner product spaces, orthogonality, canonical forms, and Hermitian matrices. Prerequisite: Math 2250 or 2270; or consent or instructor. (3 cr) (Sp)

**5410. Methods of Applied Mathematics.**

Basic modeling and qualitative understanding, including dimensional analysis (Buckingham Pi theoram). Asymptotic solutions, perturbation approaches, boundary layers in differential equations, variational calculas, Hamilton's principle, and conservation of energy. Emphasizes practical approaches to science and engineering problems. Prerequisites: Math 2210, 2250; or Math 2210, 2270, 2280. (3cr)(F)

**5420. Partial Differential Equations.**

Modeling with partial differential equations, diffusion, and wave equations. Classical solution techniques including; maximum principles, separation of variables (eigenfunctions), method of characteristics, Fourier and Laplace transforms, and singularity methods (Green's Functions). Emphasizes understanding and solving physical equations. Prerequisite: Math 2250 or 2280. (3 cr) (Sp)

**5460. Introduction to the Theory and Application of Nonlinear Dynamical Systems.**

Qualitative behavior of nonlinear maps and ordinary differential equations. Stability of solutions, bifurcation theory, chaos, and applications. Prerequisite: Math 2250 or 2280. (3 cr) (Sp) Builds on competencies attained in mathematics and statistics, enabling students to connect with and relate mathematics and statistics to real-world problems solving, while enhancing their capacity to explain conceptual mathematics. Prerequisites: Math 4200, 4310, and 4400. (3 cr)(F)

**5510. Introduction to Topology.**

Elementary point-set topology, topological spaces, separation axioms, metric spaces, compactness, connectedness, order topology, countability axioms, continuity, and homeomorphisms. Prerequisite: Math 2210 or equivalent. (3 cr) (F)

****5570. Actuarial Math I**.

Introduction to theory of risk and its application to construction and analysis of models for insurance systems. Prerequisites: Math 5710, Stat 3000, and permission of instructor. (3 cr) (F)

****5580. Actuarial Math II.**

Continuation of Math 5570. Prerequisite: Math 5570. (3 cr) (Sp)

**5610. Computational Linear Algebra and Solution of Systems of Equations.**

Numerical solutions of systems of linear and nonlinear equations, methods for eigensystems, least squares problems, finding roots of functions and nonlinear systems, constrained and unconstrained optimization. Prerequisites: Math 2210, Math 2250 or 2270, and a high-level programming language. (3 cr) (F)

***5620. Numerical Solutions of Differential Equations.**

Numerical solution of differential equations, initial and boundary value problems, finite difference, finite element, and spectral methods (FFT) applied to ODEs and PDEs. Prerequisite: Math 2210, Math 2250 or 2270, Math 2280, and a high-level programming language. (3 cr) (Sp) One-semester introductory survey of optimization, including both continuous and combinatorial problems. Topics include: linear programming, constrained and unconstrained optimization, network models, dynamic programming, and integer programming. Prerequisites: Math 2210; and Math 2250 or 2270. (3 cr) (Sp)

***5640. Optimization. **

One-semester introductory survey of optimization, including both continuous and cominatorial problems. Topics include: linear programming, constrained and uncontrained optimization, network models, dynamic programming, and integer programming. Prerequisite: Math 2210, Math 2250 or 2270. (3 cr) (Sp)

**5710. Introduction to Probability.**

Discrete and continuous probability, random variables, distribution and density functions, joint distributions, Bayes’ theorem, moments, moment generating functions, inequalities, convergence in probability and distribution, and central limit theorem. Prerequisites: Math 2210, and Math 2250 or 2270. (3 cr) (F,Sp)

**5720. Introduction to Mathematical Statistics.**

Basic theory of point and interval estimation and hypothesis testing. Topics include: sufficiency and completeness; method-of-moments, best unbiased, maximum likelihood, Bayes’, and empirical Bayes’ estimators; Neyman-Pearson lemma; and likelihood ratio tests. Prerequisite: Math 5710. (3 cr) (F)

***5760. Stochastic Processes. **

Application of stochastic processes to engineering and science. Topics include Markov chains, Poisson processes, renewal theory, and Brownian motion. Prerequisite: Math 5710. (3 cr) (Sp)

**5810, 5820. Topics in Mathematics.**

Prerequisite: Permission of instructor. (1-3 cr) (F,Sp,Su) ®

**5910. Directed Reading and Conference.**

Prerequisite: Prior arrangement with a specific instructor. (1-3 cr) (F,Sp,Su) ®

5950H. Honors Senior Project. A senior project required for completion of the departmental honors program. Prerequisite: Permission of instructor. (1-4 cr) (F,Sp,Su)

***6110, 6120. Differential Geometry. **

Topics include manifolds, calculus on manifolds, tensor calculus and differential forms, Lie groups, Riemannian geometry, deRham’s Theorem, and Hodge theory. Prerequisite: Math 5110 or 5220; Math 6110 must be completed prior to Math 6120. (3 cr)(F) (3 cr)(Sp)

**6210, 6220. Real Analysis.**

Measure theory, abstract integration, differentiation, introduction to functional analysis, Hilbert and Banach spaces. Prerequisite: Math 5210; Math 6210 must be completed prior to 6220. (3 cr)(F) (3 cr)(Sp)

**6250. Graduate Internship/Cooperative Studies.**

Graduate internship/cooperative work experience. (1-6) (F,Sp,Su) ®

***6270. Complex Variables.**

Analytic functions, singular points, conformal maps, harmonic functions, analytic continuation, Residue theory. Prerequisite: Math 5210 or 5270. (3 cr)(Sp)

***6310, 6320. Modern Algebra.**

Algebraic structures, including vector spaces, groups, rings, algebras, and modules. Topics include: catagory theory, elementary commutative ring theory, and algebraic geometry. Prerequisite: Math 5310; Math 6310 must be completed prior to 6320. (3 cr)(F) (3 cr)(Sp)

****6340, 6350. Multilinear Algebra and Matrix Theory. **

Permutation groups and representations, tensor spaces, symmetry classes of tensors, generalized matrix functions, matrices and graphs, and combinatorial matrix algebra. Prerequisite: Math 5340; Math 6340 must be completed prior to 6350. (3 cr)(F) (3 cr)(Sp)

***6410. Ordinary Differential Equations I.**

Existence-uniqueness theory, linear equations and systems, nonlinear equations, and stability. Prerequisite: Math 5210. (3 cr) (F)

***6420. Partial Differential Equations I.**

Introduction to the theory of partial differential equations, including existence and uniqueness. Prerequisite: Math 5220 or 6410.

(3 cr) (Sp)

****6440. Ordinary Differential Equations II.**

Asymptotic behavior, periodicity, boundary value problems, and perturbation methods. Prerequisite: Math 6410. (3 cr) (Sp)

****6450. Partial Differential Equations II.**

Advanced existence and uniqueness theorems, behavior of solutions, Sobolev spaces. Prerequisites: Math 6210; and Math 5420 or 6420. (3 cr) (Sp)

**6470. Advanced Asymptotic Methods.**

Theory of asymptotics and perturbations. Boundary layers for ordinary and partial differential equations. Free boundary problems, shocks, multiple-scale methods, and WKB methods. Prerequisite: Math 5420. (3 cr)(Sp)

****6510, 6520. Topology. **

Homotopy theory, fundamental groups, covering spaces, singular homology with applications to spheres and Euclidean spaces, CW complexes, cohomology ring, and Poincare duality. Prerequisites: Math 4310, 5510; Math 6510 must be taken prior to 6520. Math 5310 or consent of instructor (3 cr) (F) (3 cr) (Sp)

****6610. Numerical Analysis.**

Linear and nonlinear equations, large scale problems, and eigenvalues. Prerequisites: Math 5210, 5610, or consent of instructor. (3 cr) (F)

****6620. Numerical Analysis. **

Numerical solution of ordinary and partial differential equations. Prerequisite: Math 6610 or consent of instructor. (3 cr) (Sp)

***6640. Optimization.**

Unconstrained problems, smooth function methods, linearly constrained problems, linear and quadratic programming, nonlinearly constrained methods, and practicalities. Prerequisite: Math 5220 or consent of instructor. (3 cr) (Sp)

****6750, 6760. Probability Theory.**

Probability spaces, random variables, distribution functions, expectations, independence, modes of convergence, limit theorems, and applications. Prerequisite: Math 5210; Math 6750 must be taken prior to 6760. (3 cr)(F) (3 cr)(Sp)

**6810, 6820. Topics in Mathematics (Topic). **

Prerequisite: Consent of instructor. (3 cr)(F) (3 cr)(Sp) ®

**6910. Directed Reading and Conference.**

Prerequisite: Prior arrangement with specific instructor. (1-3 cr) (F,Sp,Su) ®

**6970. Thesis. **

(1-9 cr) (F,Sp,Su) ®

**6990. Continuing Graduate Advisement.**

(1-2 cr) (F,Sp,Su) ®

**7110, 7120. Geometry (Topic).**

(3 cr) (F) (3 cr) (Sp) ®

**7210, 7220. Analysis (Topic).**

(3 cr) (F) (3 cr)(Sp) ®

**7310, 7320. Algebra (Topic).**

(3 cr)(F) (3 cr)(Sp) ®

**7410, 7420. Differential Equations (Topic).**

(3 cr) (F) (3 cr)(Sp) ®

**7510, 7520. Topology (Topic).**

(3 cr)(F) (3 cr)(Sp) ®

**7610, 7620. Numerical Analysis (Topic).**

(3 cr)(F) (3 cr)(Sp) ®

**7750, 7760. Probability (Topic). **

(3 cr)(F) (3 cr)(Sp) ®

**7810, 7820. Topics in Mathematics (Topic). **

(3 cr)(F) (3 cr)(Sp) ®

**7910. College Teaching Internship.**

(3 cr)(F,Sp,Su) ®

**7970. Dissertation Research.**

(1-15 cr) (F,Sp,Su) ®

**7990. Continuing Graduate Advisement.**

(1-9 cr) (F,Sp,Su) ®

## Statistics Courses (Stat)

**1040. Introduction to Statistics (QL).**

Descriptive and inferential statistical methods. Emphasis on conceptual understanding and statistical thinking. Examples presented from many different areas. Prerequisite: Math ACT score of at least 19, satisfactory score on placement exam for Math 1050, or C or better in Math 1010. (3 cr)(F,Sp,Su)

**2000. Statistical
Methods (QI).**

Introduction to statistical concepts, graphical techniques,
probability, distributions, estimation, one and two sample testing,
chi-square tests, and simple linear regression. Prerequisite: Math 1050.
(3 cr)(F,Sp)

**2250. Internship and Cooperative Studies.**

Lower-division intership/cooperative work experience in statistics. (1-6 cr) (F,Sp,Su)

**2300. Business Statistics (QL).**

Descriptive and inferential statistics, probability, sampling, estimation, tests of hypotheses, linear regression and correlation, chi-square tests, analysis of variance, and multiple regression. Prerequisite: Math 1050. (4 cr) (F,Sp,Su)

**2950. Directed Reading and Conference.**

Prerequisite: Prior arrangement with specific instructor. (1-3 cr) (F,Sp,Su) ®

**3000. Statistics for Scientists (QI) . **Introduction to statistical concepts, graphical techniques, discrete and continuous distributions, parameter estimation, hypothesis testing, and chi-square tests. Prerequisites: Math 1100 or 1210. (3 cr) (F,Sp,Su)

**4250. Advanced Internship/Co-op. **

Advanced educational work experience in statistics. Prerequisite: Approval of instructor. (1-6 cr) (F,Sp,Su) ®

**4910. SPSS Shortcourse. **

Access to and use of the SPSS statistical software package. (1 cr) (F,Sp,Su)

**4920. SAS Shortcourse. **

Access to and use of the SAS statistical analysis program. (1 cr) (F,Sp)

**4950. Directed Reading and Conference.**

Prerequisite: Prior arrangement with specific instructor. (1-3 cr) (F,Sp,Su) ®

**5100. Linear Regression and Time Series (QI).**

Methods for prediction and hypothesis testing in multiple linear regression models, including analysis of variance and covariance, logistic regression, introduction to time series, and signal processing. Prerequisite: Stat 2000 or 3000. (3 cr) (Sp)

**5120. Categorical Data Analysis.**

Analysis of categorical data, contingency tables, goodness of fit, random sampling, log-linear and logistic regression models, sampling for proportions, and stratified and cluster sampling. Prerequisite: Stat 5100. (3 cr) (F)

**5200. Design of Experiments. **

Design, analysis, and interpretation of experiments, split plots, incomplete blocks, confounding, fractional factorials, nested designs, two-and three-way analysis of variance, covariance, and multiple regression. Prerequisite: Stat 2000 or 3000. (3 cr) (Sp)

***5410/6410. Applied Spatial Stat.**

Spatial Point Patterns, Spatially Continuous Data, Area (Grid) Data, Nearest Neighbor Distances, K Function, Complete Spatial Randomness, Variogram, Kriging, Correlogram, Moran's I. Prerequisite: Stat 3000; knowledge of a statistical package (e.g., S-Plus, R, SAS) or any programming language (C/C++, Fortran, etc.) strongly recommended. (3 cr) (F)

***5570. Stat Bioinformatics.**

The bioconductor project. Gene expression analysis: microarray experiments, data normalization, sources of variability, testing for differential expression, multiple testing issues, cluster analysis. Sequence analysis:scoring alignments, hidden Markov models, phylogenetic trees. Databases and ontologies.. Prerequisite: Stat 5100 or Stat 5200. (3 cr) (Sp)

**5600. Applied Multivariate Statistics.**

Introduction to multivariate statistical procedures for data analysis. Topics include MANOVA, principal component analysis, factor analysis, clustering, and classification. Prerequisite: Stat 5100. (3 cr) (F)

**5810, 5820. Topics in Statistics.**

Prerequisite: Consent of instructor. (1-3 cr) (F) (1-3 cr) (Sp) ®

**5890. Problem Solving in Statistics.**

Capstone course for Statistics majors, applying course material covered in the undergraduate major. Prerequisite: Permission of instructor. (3 cr) (Sp)

**5940. Directed Reading and Conference.**

Prerequisite: Prior arrangement with specific instructor. (1-3 cr) (F,Sp,Su) ®

**5950H. Senior Honors Project.**

A senior project, required for completion of the departmental honors program and developed under the direction of a departmental faculty member. Prerequisite: Permission of instructor. (1-4 cr) (F,Sp,Su)

**5970. Seminar.**

Review of current literature and developments in the field of statistics. (1-3 cr) (F,Sp) ®

***6100. Advanced Regression. **

Theory of Linear Models: least squares estimation, the general linear hypothesis, regression diagnostics for multicollinearity, outliers, and influential points. Robust regression. Nonlinear regression. Generalized linear models. ACE. Generalized Additive Models. Regression models for survival data. Prerequisite: Stat 5720 and Stat 5100. (3 cr) (F)

***6190. Wavelet Time Series. **

Time series models, time and frequency domain analysis, discrete wavelet transform, wavelet ANOVA, applications in physics and finance. Prerequisite: Math 5720 and Stat 5100. (3 cr) (Sp)

***6200. Messy Data Analysis.**

Means and effects models. Estimability. Type I--IV hypotheses, contrasts and sums of squares. Generalized linear models for experimental data. Linear mixed models. Generalized linear mixed models. Analysis of complex experimental designs. Nonreplicated experiments. Tests for additivity. Half-normal plots. Prerequisite: Stat 5200. (3 cr) (Sp)

**6250. Graduate Internship/Co-op.**

Educational work experience at the graduate level. Prerequisite: Permission of instructor. (1-8 cr) ®

****6520. Nonparametric Density Estimation and Smoothing.**

Nonparametric density estimation and smoothing are generalizations of classical techniques that do not require such stringent distributional and functional form assumptions. This course covers theory, application, and implementation of histograms, frequency polygons, kernel-based methods, and spline-based methods. Prerequisite: Math 5710 and recommended concurrent enrollment in Math 5720(3 cr) (Sp)

***6530. Modern Nonpar Stat.**

Resampling methods: the Jackknife and the bootstrap, bias, variance, and confidence intervals. Smoothing methods: histograms, kernel density estimates, local polynomial regression. Testing procedures using ranks and empirical cumulative distribution functions. Prerequisite: Math 5710 and Stat 3000. (3 cr) (Sp)

***6550. Statistical Computing.**

Survey of algorithms and tools for modern statistical computing. Topics include simulation design and implementation, algorithms for linear regression and subset selection, smoothing algorithms, fast fourier transform, EM algorithm, numerical methods for maximum likelihood estimation, and neural networks. Prerequisites: Stat 5110, Math 5720, and knowledge of a programming language. (3 cr) (F)

***6560. Graphical Methods.**

Statistical graphics and scientific visualization of one, two, and higher dimensional data. Well-chosen and designed graphics are vital in exploratory data analysis, model diagnostics, and data presentation. Includes specific methods and general principles, such as effective use of color and motion. Prerequisites: Stat 3000, and programming experience. (3 cr) (Sp)

***6650. Statist Learning.**

Supervised learning, linear methods for regression and classification, model assessment and selection, model inference and averaging, additive models, boosting, neural networks, support vector machines, unsupervised learning. Prerequisite: Math 5720 and Stat 5100. (3 cr) (F)

**6710. Mathematical Statistics I.**

Modes of convergence of random variables, laws of large numbers, characteristic functions, and the central limit theorem. Prerequisite: Math 5720. (3 cr) (F)

**6720. Mathematical Statistics II.**

Consistency, loss functions, risk, and notions of optimality of estimations. Hypothesis testing and confidence regions. Large sample theory, notions of robustness. Prerequisite: Stat 6710. (3 cr) (Sp)

**6810, 6520 Topics in Statistics (Topic). **

Prerequisite: Permission of instructor. (3 cr) (F) ®

**6890. Practical Statistical Consulting.**

Introduction to statistical consulting for graduate students, for faculty in other research departments, and for business, industry, and government. Prerequisite: Permission of instructor. (1-3 cr) (F,Sp,Su) ®

**6910. Seminar in Statistics.**

Review of current literature and developments in statistics. Prerequisite: Permission of instructor. (1-3 cr) (F,Sp) ®

**6950. Directed Reading and Conference.**

Prerequisite: Prior arrangement with specific instructor. (1-4 cr) (F,Sp,Su) ®

**6970. Thesis and Research.**

Outlining and conducting research in statistics. Thesis preparation. (1-6 cr) (F,Sp,Su) ®

**6990. Continuing Graduate Advisement. **

(1-3 cr) (F,Sp,Su) ®

**7110, 7120. Linear Models (Topic).**

(3 cr) (F) (3 cr) (Sp) ®

**7180, 7190. Time Series Analysis (Topic).**

(3 cr)(F) (3Sp) ®

**7210, 7220. Experimental Design (Topic). **

(3cr) (F) (3cr) (Sp) ®

**7310, 7320. Business and Industrial Statistics (Topic).**

(3cr) (F) (3cr) (Sp) ®

**7510, 7520. Nonparametric Statistics (Topic).**

(3cr)(F) (3cr)(Sp) ®

**7550, 7560. Computational and Graphical Statistics (Topic). **

(3cr)(F) (3cr)(Sp) ®

**7610, 7620. Multivariate Statistics (Topic).**

(3cr)(F) (3cr)(Sp) ®

**7710, 7720. Mathematical Statistics (Topic).**

(3cr)(F) (3cr)(Sp) ®

**7730, 7740. Bayesian Statistics and Decision Theory (Topic).**

(3cr)(F) (3cr)(Sp) ®

**7810, 7820. Topics in Statistics (Topic).**

(1-3 cr)(F) (1-3 cr)(Sp) ®

**7970. Dissertation Research.**

(1-15 cr)(F,Sp,Su) ®

**7990. Continuing Graduate Advisement.**

(1-9cr)(F,Sp,Su) ®

® Repeatable for credit. Check with major department for limitations on number of credits that can be counted for graduation.

© This course is also offered by correspondence through Continuing Education Independent and Distance Education.

*Taught 1998-99.

**Taught 1999-2000.