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MATHEMATICS COURSES completes a term project which is the grade point of 2.000 or better, or
solution of a particular problem approved departmental consent.
Courses for Graduate/Undergraduate Credit by the instructor. Prerequisite: Math 344 MATH 714. Applied Mathematics (3). A
with a grade point of 2.000 or better or study of mathematical techniques
Credit in courses numbered below 600 is not departmental consent. applicable to physics and other sciences.
applicable toward the MS in mathematics. MATH 555. Differential Equations I (3). Instructor selects topics, such as power
Credit in courses numbered below 700 is not A study of first order equations including series, infinite products, asymptotic
applicable toward the PhD in Applied separation of variables and exact expansions, WKB method, contour
Mathematics. equations; second order equations integration and residue methods, integral
including the general theory of initial value transforms, Hilbert spaces, special
MATH 501. Elementary Mathematics (5). A problems, constant coefficients, functions, and integral equations.
study of topics necessary to an understanding of undetermined coefficients, variation of Prerequisite: MATH 555 or instructor’s
the elementary school curriculum, such as set parameters, and special methods of consent.
theory, real numbers, and geometry. Not for solution using power series and the MATH 720. Modern Geometry (3).
major or minor credit. Prerequisites: elementary Laplace transform methods. A standard Examines the fundamental
education major and MATH 111 or equivalent
with a grade point of 2.000 or better, or course in differential equation for students concepts of geometry. Prerequisite:
departmental consent. in the sciences and engineering. Credit not MATH 513 with a grade point of 2.000 or
allowed in both MATH 550 and 555. better, or departmental consent.
MATH 502. Mathematics for Middle School Prerequisite: MATH 243 with a grade MATH 725. Topology I (3). Studies the
Teachers (5). A study of the mathematical point of 2.000 or better or departmental results of point set and algebraic topology.
knowledge which forms the theoretical consent. Prerequisite: MATH 547 with a grade
foundations of, the applications of, and MATH 580. Selected Topics in point of 2.000 or better, or departmental
extensions of middle school mathematics. This Mathematics (3). Topic chosen from consent.
capstone course serves to reinforce mathematics
skills learned in prerequisite courses and assists topics not otherwise represented in the MATH 743. Real Analysis I (3). Includes
students in recognizing the unifying principles curriculum. May be repeated up to a a study of the foundations of analysis and
within their mathematical experiences. maximum of 6 hours credit with the fundamental results of the subject.
Prerequisites: MATH 111, 121, 123, 144, 501, departmental consent. Prerequisite: Prerequisite: MATH 640 with a grade
and STAT 370 or equivalent with a grade point departmental consent. point of 2.000 or better, or departmental
of 2.000 or better in each. MATH 615. Elementary Number consent.
MATH 511. Linear Algebra (3). An Theory (3). Studies properties of the MATH 745. Complex Analysis I (3).
elementary study of linear algebra, including an integers by elementary means. Studies the theory of analytic functions.
examination of linear transformations and Prerequisite: MATH 344 with a grade Prerequisite: MATH 640 with a grade
matrices over finite dimensional spaces. point of 2.000 or better or departmental point of 2.000 or better, or departmental
Prerequisite: MATH 243 with a grade point of consent. consent.
2.000 or better. MATH 621. Elementary Geometry (3). MATH 750. Workshop (1–3). Topics
Studies Euclidean geometry from an appropriate for mathematics workshops
513. Fundamental Concepts of Algebra (3). advanced point of view. Prerequisite: that are not in current mathematics
Defines group, ring and field and studies their MATH 344 with a grade point of 2.000 or courses. May be repeated to a total of 6
properties. Prerequisite: MATH 415 and 511 better or departmental consent. hours credit with departmental consent.
with a grade point of 2.000 or better or MATH 640. Advanced Calculus II (3). A Prerequisite: departmental consent.
departmental consent.
continuation of MATH 547. Prerequisites: MATH 751. Numerical Linear Algebra
MATH 547. Advanced Calculus I (3). MATH 511 and 547 with a grade point of (3). Includes analysis of direct and
Covers the calculus of Euclidean space 2.000 or better in each. iterative methods for the solution of linear
including the standard results concerning systems, linear least squares problems,
functions, sequences, and limits. MATH 655. Differential Equations II eigenvalue problems, error analysis, and
Prerequisites: MATH 344 and 415 with a (3). A continuation of MATH 555 (but reduction by orthogonal transformations.
grade point of 2.000 or better in each. with more emphasis on theoretical issues) Prerequisites: MATH 511, 547, and 551
MATH 548. Introduction to Complex that covers higher order differential with a grade point of 2.000 or better in
Variables (3). Study of complex numbers, equations, systems of first order equations each, or departmental consent.
analytic functions, differentiation and (including the basics of linear algebra), MATH 753. Ordinary Differential
integration of complex functions, line some numerical methods, and stability and Equations (3). Covers existence,
integrals, power series, residues and poles, behavior of solutions for large times. uniqueness, stability, and other qualitative
and conformal mapping with applications. Prerequisite: MATH 555 with a grade theories of ordinary differential equations.
Prerequisites: MATH 344 point of 2.000 or better or departmental Prerequisite: MATH 545 or 547 with a
with a grade point of 2.000 or better. consent. grade point of 2.000 or better, or
MATH 551. Numerical Methods (3). MATH 657. Optimization Theory (3). departmental consent.
Approximating roots of equations, Introduces selected topics in linear and MATH 755. Partial Differential
interpolation and approximation, nonlinear optimization. Develops the Equations I (3). Studies the existence and
numerical differentiation and integration, revised simplex method along with a uniqueness theory for boundary value
and the numerical solution of first order careful treatment of duality. Then extends problems of partial differential equations
ordinary differential equations. Some the theory to solve parametric, integer, and of all types. Prerequisite: MATH 547 with
computer use. Prerequisites: MATH 344 mixed integer linear programs. a grade point of 2.000 or better, or
and 451 with a grade point of 2.000 or Prerequisite: MATH 511 with a grade departmental consent.
better or departmental consent. point of 2.000 or better. MATH 757. Partial Differential
MATH 553. Mathematical Models (3). Equations for Engineers (3). Includes
Covers case studies from the fields of MATH 713. Abstract Algebra I (3). Fourier series, the Fourier integral,
engineering technology and the natural and Treats the standard basic topics of abstract boundary value problems for the partial
social sciences. Emphasizes the algebra. Prerequisite: MATH 513 with a differential equations of mathematical
mathematics involved. Each student physics, Bessel and Legendre functions,
and linear systems of ordinary differential and numerical grid generation. Statistics (STAT)
equations. Prerequisite: MATH 555 with a Prerequisite: MATH 545 or 757. Courses for Graduate/Undergraduate
grade point of 2.000 or better. MATH 856. Partial Differential Credit in courses numbered below 600 is
MATH 758. Complex and Vector Equations II (3). A continuation of not applicable toward the MS in
Analysis for Engineers (3). A survey of MATH 755. Prerequisite: MATH 755. mathematics. Credit in courses numbered
some of the mathematical techniques MATH 857. below 700 is not applicable toward the
needed in engineering including an Selected Topics in Engineering PhD in Applied Mathematics.
introduction to vector analysis, line and Mathematics (3). Advanced topics in
surface integrals and complex analysis, mathematics of interest to engineering STAT 570. Special Topics in Statistics
contour integrals, and the method of students, including tensor analysis, (3). Covers topics of interest not otherwise
residues. Not applicable toward a graduate calculus of variations and partial available. Prerequisite: departmental
degree in mathematics. Prerequisite: differential equations. Not applicable consent.
MATH 555 with a grade point of 2.000 or toward the MS in mathematics.
better. MATH 859. Selected Topics in Applied STAT 571–572. Statistical Methods I
Mathematics (2–3). Repeatable with and II (3–3).
Courses for Graduate Students Only departmental consent. Includes probability models, points and
MATH 880. Proseminar (1). Oral interval estimates, statistical tests of
presentation of research in areas of interest hypotheses, correlation and regression
MATH 813. Abstract Algebra II (3). A to the students. Prerequisite: major
continuation of MATH 713. Prerequisite: analysis, introduction to nonparametric
standing. statistical techniques, least squares,
MATH 713 or equivalent. MATH 881. Individual Reading (1–5).
MATH 825. Topology II (3). A analysis of variance, and topics in design
Repeatable up to a maximum of 6 hours of experiments. Prerequisite: MATH 243
continuation of MATH 725. Prerequisite: with departmental consent. Prerequisite:
MATH 725 or equivalent. with a grade point of 2.000 or better or
departmental consent. departmental consent.
MATH 828. Selected Topics in Topology MATH 885. Thesis (1–4). May be
(2–3). Repeatable with departmental STAT 574. Elementary Survey
repeated to a maximum of 6 hours credit. Sampling (3). Reviews basic statistical
consent. Prerequisite: departmental Graded S/U only. Prerequisite:
consent. concepts. Covers simple, random,
departmental consent. stratified, cluster, and systematic sampling,
MATH 829. Selected Topics in MATH 941–942. Applied Functional
Geometry (2–3). Repeatable with along with a selection of sample size, ratio,
Analysis I and II (3–3). Introduces estimation, and costs. Applications studied
departmental consent. Prerequisite: functional analysis and its applications.
departmental consent. include problems from social and natural
Prerequisites: MATH 843 and 755 sciences, business, and other disciplines.
MATH 843. Real Analysis II (3). A (MATH 755 may be a corequisite).
continuation of MATH 743. Prerequisite: Prerequisite: any elementary course in
MATH 947–948. Mathematical Theory statistics, such as STAT 370, SOC 501 or
MATH 743 or equivalent. of Fluid Dynamics I and II (3–3).
MATH 845. Complex Analysis II (3). A PSY 301 with a grade point of 2.000 or
Mechanics of fluid flow, momentum and better.
continuation of MATH 745. Prerequisite: energy principles, Navier-Stokes and Euler
MATH 745 or equivalent. equations, potential flows, vortex
MATH 848. Calculus of Variations (3). dynamics, stability analysis, and numerical STAT 576. Applied Nonparametric
Includes Euler-Lagrange equations, methods applied to fluid dynamics. Statistical Methods (3). Studies
variational methods, and applications to Prerequisite: MATH 745. assumptions and needs for nonparametric
extremal problems in continuum MATH 952. Advanced Topics in tests, rank tests, and other nonparametric
mechanics. Prerequisite: MATH 547 or Numerical Analysis (3). Advanced topics inferential techniques. Applications
757. of current research interest in numerical involve problems from the social and
MATH 849. Selected Topics in Analysis analysis. Topics chosen at instructor’s natural sciences, business, and other
(2–3). Repeatable with departmental discretion. Possible areas of concentration disciplines. Prerequisite: any elementary
consent. Prerequisite: departmental are numerical methods in ordinary statistics course such as STAT 370, SOC
consent. differential equations, partial differential 501, or PSY 301 with a grade point of
MATH 851. Numerical Analysis of equations, and linear algebra. 2.000 or better.
Ordinary Differential Equations (3). Prerequisites: MATH 751, 851, and STAT 701. Matrix Theory (3). Studies
Includes single-step and multi-step instructor’s consent. matrix theory as a tool for studying linear
methods of ordinary differential equations, MATH 958 & 959. Selected Advanced models, analysis of variance, regression
stability, consistency and convergence, Topics in Applied Mathematics (3 & 3). analysis, time series, and multivariate
error estimation, step size selection, stiff Topics of current research interest in analysis. Topics include eigenvalues and
systems, and boundary value problems. applied mathematics. Repeatable for credit eigenvectors, matrix factorization and
Prerequisites: MATH 555 and 751. with departmental consent. Prerequisite: matrix norms, generalized inverses,
MATH 852. Numerical Analysis of instructor’s consent. partitioned matrices, Kronecker product,
Partial Differential Equations (3). MATH 981. Advanced Independent vec operator, and matrix derivatives, with
Includes analysis of algorithms for the Study in Applied Mathematics (1–3). applications to statistics in each topic and
solution of initial value problems and Arranged individual directed study in an special emphasis on quadratic forms in
boundary value problems for systems of area of applied mathematics. Repeatable to normal variates. Although some
PDEs with applications to fluid flow, a maximum of 6 hours. Prerequisites: must background in statistics is desirable, it is
structural mechanics, electromagnetic have passed the PhD qualifying exam and not necessary. Prerequisite: MATH 511
theory, and control theory. Prerequisite: instructor’s consent. with a grade point of 2.000 or better.
MATH 751. MATH 985. PhD Dissertation (1–9). STAT 763. Applied Regression Analysis
MATH 854. Tensor Analysis with Repeatable to a maximum of 24 hours. (3). Studies linear, polynomial, and
Applications (3). After introducing tensor Graded S/U only. Prerequisite: must have multiple regression. Includes applications
analysis, considers applications to passed the PhD preliminary exam. to business and economics, behavioral and
continuum mechanics, structural analysis, biological sciences, and engineering. Uses
computer packages for doing problems. functions, random variables, modes of area of probability or statistics. Repeatable
Prerequisites: STAT 571, MATH 344 and convergence, the law of large numbers and to a maximum of 6 hours. Prerequisites:
511 with a grade point of 2.000 or better in central limit theorem, and conditioning and must have passed the PhD qualifying exam
each, or departmental consent. the Markov property. Prerequisites: and instructor’s consent.
STAT 764. Analysis of Variance (3). An MATH 743 and STAT 771. STAT 986. PhD Dissertation (1–9).
introduction to experimental design and STAT 870–871. Theory of Statistical Repeatable to a maximum of 24 hours.
analysis of data under linear statistical Inference I and II (3–3). Covers Graded S/U only. Prerequisite: must have
models. Studies single-factor designs, asymptotic theory of maximum likelihood passed the PhD preliminary exam.
factorial experiments with more than one estimation, sufficiency and completeness,
factor, analysis of covariance, randomized unbiased estimation, elements of decision
block designs, nested designs, and Latin theory and the Neyman-Pearson theory of
square designs. Uses computer packages testing hypotheses. Prerequisites: MATH
for doing problems. Prerequisites: STAT 743 and STAT 771.
571, MATH 344 and 511 with a grade STAT 872–873. Theory of Linear
point of 2.000 or better in each, or Models I and II (3–3). An introduction to
departmental consent. the theory of linear models and analysis of
STAT 771–772. Theory of Statistics I variance. Includes multivariate normal
and II (3–3). An examination of stochastic distribution, distributions of quadratic
dependence distributions of functions of forms, general linear models, general
random variables limiting distributions, linear hypothesis, confidence
order statistics, theory of statistical regions, prediction and tolerance intervals,
inference, nonparametric tests, and design models (1-factor and 2-factor),
analysis of variance and covariance. analysis of covariance, and components-
Prerequisite: MATH 545 or 547 with a of-variance models. Prerequisites: MATH
grade point of 2.000 or better, or 511 and STAT 772.
departmental consent. STAT 875. Design of Experiments (3). A
STAT 774. Statistical Computing I (3). study of basic concepts of experimental
Trains students to use modern statistical design which include completely
software for statistical modeling and randomized design, randomized block
writing of technical reports. Examines design, randomization theory, estimation
many of the advanced features of most and tests, Latin square design, factorial
commercial statistical packages. Students experiments, confounding, split-plot
perform complete statistical analyses of designs, incomplete block designs, and
real data sets. Prerequisites: STAT 763 and intra- and interblock information.
764, or departmental consent. Prerequisite: STAT 572 or 772.
STAT 775. Applied Statistical Methods STAT 876. Nonparametric Methods (3).
I (3). Covers selected topics from time An introduction to the theory of
series analysis including basic nonparametric statistics. Includes order
characteristics of time series, statistics; tests based on runs; tests of
autocorrelation, stationarity, spectral goodness of fit; rank-order statistics; one-,
analysis, linear filtering, ARIMA models, two-, and k-sample problems; linear rank
Box-Jenkins forecasting and model statistics; measure of association for
identification, classification, and pattern bivariate samples; and asymptotic
recognition. Prerequisite: STAT 763 with a efficiency. Prerequisite: STAT 772.
grade point of 2.000 or better, or STAT 877. Multivariate Statistical
departmental consent. Methods (3). Elementary theory and
STAT 776. Applied Statistical Methods techniques of analyzing multidimensional
II (3). Covers selected topics from data; covers Hotelling’s T2, multivariance
multivariate analysis including statistical analysis of variance, principal components
theory associated with the multivariate analysis, linear discrimination analysis,
normal, Wishart and other related canonical correlation analysis, and analysis
distributions, partial and multiple of categorical data. Prerequisites: MATH
correlation, principal component analysis, 511 and STAT 772.
factor analysis, classification and STAT 878. Special Topics (2–3).
discriminant analysis, cluster analysis, Repeatable with departmental consent.
James-Stein estimates, multivariate Prerequisite: departmental consent.
probability inequalities, majorization and STAT 879. Individual Reading (1–5).
Schur functions. Prerequisite: STAT 764 Repeatable to a maximum of 6 hours with
with a grade point of 2.000 or better, or departmental consent. Prerequisite:
departmental consent. departmental consent.
STAT 971 & 972. Selected Advanced
Courses for Graduate Students Only Topics in Probability and Statistics (3 &
3). Topics of current research interest in
probability and statistics. Repeatable for
STAT 861–862. Theory of Probability I credit with departmental consent.
and II (3–3). The axiomatic foundations Prerequisite: instructor’s consent.
of probability theory emphasize the STAT 978. Advanced Independent
coverage of probability measures, Study in Probability and Statistics (1–3).
distribution functions, characteristic Arranged individual directed study in an
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