Departmental Courses

A study of basic mathematics skills used in entry level mathematics courses. Students who do not meet the prerequisites for MA1030 College Algebra I, but wish to eventually take that course should register for MA0050 to improve their foundational mathematics skills.

• Credits: 1.0; May be repeated; Graded Pass/Fail Only
• Lec-Rec-Lab: (0-0-3)
• Semesters Offered: Fall, Spring

Stresses the role of contemporary mathematical thinking and the connection between mathematics and our daily lives. Topics may include problem solving and logic, sets, voting systems, graphs, number systems, geometry, mathematics of finance, combinatorics, and probability and statistics.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall
• Restrictions: Must be enrolled in one of the following Major(s): Anthropology, Communication, Culture & Media, Comm and Culture Studies, Theatre & Electr. Media Perf., English, Theatre & Entertain Tech (BS), Theatre & Entertain Tech (BA), Liberal Arts, Nursing, Pre-Nursing, Psychology, Sports and Fitness Management, History, Social Sciences, Liberal Arts with History Opt, Sustainability Sci and Society, Scientific & Tech Comm (BA), Scientific & Tech Comm (BS), Humanities
• Pre-Requisite(s): ALEKS Math Placement >= 00 or ACT Mathematics >= 10 or SAT MATH SECTION SCORE-M16 >= 260

This course is the first of a two semester sequence. It examines the behavior of linear, polynomial, and rational functions. In addition, algebraic methods commonly needed in calculus are reviewed.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall, Spring
• Pre-Requisite(s): ALEKS Math Placement >= 40 or ACT Mathematics >= 18 or SAT MATH SECTION SCORE-M16 >= 500

This course is the second of a two semester sequence. It examines the behavior of exponential, logarithmic, and trigonometric functions. Also, algebraic and trigonometric methods commonly needed in calculus are reviewed. MA1030 and MA1031 together are equivalent to MA1032.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall, Spring
• Pre-Requisite(s): MA 1030

This course examines the behavior of linear, polynomial, rational, exponential, logarithmic and trigonometric functions.

• Credits: 4.0
• Lec-Rec-Lab: (0-4-0)
• Semesters Offered: Fall, Spring, Summer
• Pre-Requisite(s): ALEKS Math Placement >= 61 or ACT Mathematics >= 22 or SAT MATH SECTION SCORE-M16 >= 540

Introduction to single-variable calculus with precalculus review. Topics include behavior of elementary functions, limits, continuity, differentiation, and applications. Integrates symbolic tools, graphical concepts, data, and numerical calculations.

• Credits: 4.0
• Lec-Rec-Lab: (0-3-2)
• Semesters Offered: Fall
• Restrictions: Must be enrolled in one of the following College(s): College of Engineering
• Pre-Requisite(s): ACT Mathematics >= 22 or SAT MATH SECTION SCORE-M16 >= 540 or ALEKS Math Placement >= 61

Introduction to single-variable calculus with precalculus review. Topics include further applications of derivatives, definite and indefinite integrals, the fundamental theorem of calculus, basic integration techniques, and applications. Integrates symbolic tools, graphical concepts, data and numerical calculations.

• Credits: 4.0
• Lec-Rec-Lab: (0-3-2)
• Semesters Offered: Spring
• Restrictions: Must be enrolled in one of the following College(s): College of Engineering
• Pre-Requisite(s): MA 1120

Topics include limits, continuity of functions, transcendental functions, derivatives, integrals, and applications of the derivative in the fields of economics, biological sciences, and social sciences. Credit applicable only to those curricula specifying this course.

• Credits: 4.0
• Lec-Rec-Lab: (0-4-0)
• Semesters Offered: Fall, Spring, Summer
• Restrictions: May not be enrolled in one of the following College(s): College of Engineering
• Pre-Requisite(s): MA 1032 or MA 1031 or MA 1120 or ALEKS Math Placement >= 76 or CEEB Calculus AB >= 2 or CEEB Calculus BC >= 2 or CEEB Calculus AB Subscore >= 2 or ACT Mathematics >= 26 or SAT MATH SECTION SCORE-M16 >= 610

An introduction to single-variable calculus, which includes a computer laboratory. Topics include trigonometric, exponential, and logarithmic functions, differentiation and its uses, and basic integration. Integrates symbolic tools, graphical concepts, data and numerical calculations.

• Credits: 4.0
• Lec-Rec-Lab: (0-3-1)
• Semesters Offered: Fall
• Pre-Requisite(s): ALEKS Math Placement >= 86 or CEEB Calculus AB >= 3 or CEEB Calculus BC >= 3 or CEEB Calculus AB Subscore >= 3 or ACT Mathematics >= 29 or SAT MATH SECTION SCORE-M16 >= 680

An introduction to single-variable calculus, which includes a computer laboratory. Topics include trigonometric, exponential, logarithmic functions, differentiation and its uses, and basic integration. Integrates symbolic tools, data and numerics, and graphical concepts and is similar to MA1160, going at a different pace.

• Credits: 5.0
• Lec-Rec-Lab: (0-4-1)
• Semesters Offered: Fall, Spring, Summer
• Pre-Requisite(s): MA 1032 or MA 1031 or MA 1120 or ALEKS Math Placement >= 76 or CEEB Calculus AB >= 2 or CEEB Calculus BC >= 2 or CEEB Calculus AB Subscore >= 2 or ACT Mathematics >= 26 or SAT MATH SECTION SCORE-M16 >= 610

Introduction to simulation, a powerful computational tool for many scientific problems. Case studies and projects will be drawn from various fields. Prior programming experience is not required; all necessary computational skills will be developed in the course.

• Credits: 3.0
• Lec-Rec-Lab: (0-0-3)
• Semesters Offered: Spring
• Pre-Requisite(s): MA 1160 or MA 1161 or MA 1121

Mathematical discovery and invention in group theory: transformations, finite figures, strip patterns, wall patterns, finite groups, and Cayley diagrams. Develops the ability to find and describe patterns, to generalize from observations, to formulate conjectures, and to support conjectures with analysis and, when possible, formal proof.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall, in even years

Mathematical discovery and invention in topological graph theory: networks, graphs, graph coloring, surfaces and graphs, and knots. Develops the ability to find and describe patterns, to generalize from observations, to formulate conjectures, and to support conjectures with analysis and, when possible, formal proof.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall, in odd years

Mathematical discovery and invention in number theory: number puzzles, Chinese Remainder Theorem, codes, primitive roots, and quadratic reciprocity. Develops the ability to find and describe patterns, to generalize from observations, to formulate conjectures, and to support conjectures with analysis and, when possible, formal proof.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall, in odd years

Mathematical discovery and invention in Non-Euclidean geometry: definitions of straight and angle, transformations, congruence, parallel transport, projections, and finite geometries. Develops the ability to find and describe patterns, to generalize from observations, to formulate conjectures, and to support conjectures with analysis and, when possible, formal proof.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall, in even years

Students study a particular area in mathematics, ordinarily not covered in existing courses. Intended for first-year students.

• Credits: variable to 6.0; Repeatable to a Max of 6
• Semesters Offered: Fall, Spring, Summer
• Restrictions: Permission of instructor required

Continued study of calculus, which includes a computer laboratory. Topics include integration and its uses, function approximation, vectors, and elementary modeling with differential equations.

• Credits: 4.0
• Lec-Rec-Lab: (0-3-1)
• Semesters Offered: Fall, Spring, Summer
• Pre-Requisite(s): MA 1160 or MA 1161 or MA 1135 or MA 1121 or CEEB Calculus AB >= 3 or CEEB Calculus BC >= 3 or CEEB Calculus AB Subscore >= 3

An introduction to linear algebra and how it can be used. Topics include systems of equations, vectors, matrices, orthogonality, subspaces, and the eigenvalue problem.

• Credits: 2.0
• Lec-Rec-Lab: (0-2-0)
• Semesters Offered: Fall, Spring, Summer
• Restrictions: May not be enrolled in one of the following Major(s): Mathematics, Software Engineering, Computer Science
• Pre-Requisite(s): MA 1160 or MA 1161 or MA 1135 or MA 1121

Offered first half of semester, to be taken concurrently with MA3521. The course is an introduction to linear algebra and how it can be used. Topics include systems of equations, vectors, matrices, orthogonality, subspaces and the eigenvalue problem.

• Credits: 2.0
• Lec-Rec-Lab: (0-4-0)
• Semesters Offered: Fall, Spring
• Restrictions: May not be enrolled in one of the following Major(s): Mathematics, Software Engineering, Computer Science
• Co-Requisite(s): MA 3521
• Pre-Requisite(s): MA 2160

An introduction to linear algebra and how it can be used, including basic mathematical proofs. Topics include systems of equations, vectors, matrices, orthogonality, subspaces, and the eigenvalue problem.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall, Spring
• Pre-Requisite(s): MA 1160 or MA 1161 or MA 1135 or MA 1121

Use of mathematical modeling and computer simulation to solve scientific problems. Includes introduction to elementary numerical methods (numerical integration, solution of linear systems, solution of nonlinear equations, optimization) and to computer programming. Requires programming project(s).

• Credits: 3.0
• Lec-Rec-Lab: (0-0-3)
• Semesters Offered: Fall
• Pre-Requisite(s): MA 2160 and (MA 2320 or MA 2321 or MA 2330)

Introduction to statistical reasoning and methods. Topics include uses and abuses of statistics, graphical and descriptive methods, correlation and regression, probability and statistical inference. The course will include a written project and an introduction to statistical software.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring
• Restrictions: Must be enrolled in one of the following Major(s): Statistics, Mathematics, Mathematics & Computer Science, Data Science, Business Analytics
• Pre-Requisite(s): MA 1160 or MA 1161 or MA 1135 or MA 1121

Introduction to the design and analysis of statistical studies. Topics include methods of data collection, descriptive and graphical methods, probability, statistical inference on means, regression and correlation, and ANOVA.

• Credits: 4.0
• Lec-Rec-Lab: (0-4-0)
• Semesters Offered: Fall, Spring, Summer
• Restrictions: May not be enrolled in one of the following Major(s): Mathematics
• Pre-Requisite(s): MA 1020 or MA 1030 or MA 1120 or MA 1032 or MA 1031 or ALEKS Math Placement >= 61 or CEEB Calculus BC >= 2 or CEEB Calculus AB Subscore >= 2 or ACT Mathematics >= 22 or SAT MATH SECTION SCORE-M16 >= 540

Students study a particular area in mathematics ordinarily not covered in existing courses. Intended for first- or second-year students.

• Credits: variable to 4.0; Repeatable to a Max of 6
• Semesters Offered: Fall, Spring, Summer
• Restrictions: Permission of instructor required

Introduction to calculus in two and three dimensions, which includes a computer laboratory. Topics include functions of several variables, partial derivatives, the gradient, multiple integrals; introduction to vector-valued functions and vector calculus, divergence, curl, and the integration theorems of Green, Stokes, and Gauss.

• Credits: 4.0
• Lec-Rec-Lab: (0-3-1)
• Semesters Offered: Fall, Spring, Summer
• Pre-Requisite(s): MA 2160 or CEEB Calculus BC >= 3

Transmission via noisy channels, hamming distance, linear codes, the ISBN-code, encoding and decoding, finite fields, Reed-Solomon codes, deep space communication, the compact disk code, sphere packing bound, hamming codes, hamming decoding.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall
• Pre-Requisite(s): MA 2320 or MA 2321 or MA 2330

Topics include private-key cryptography, shift substitution, permutation and stream ciphers, cryptanalysis, perfect secrecy, public-key cryptography, and the RSA cryptosystem.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring, Summer
• Pre-Requisite(s): MA 2320 or MA 2321 or MA 2330

Topics include set theory, mathematical induction, integers, functions and relations, counting methods, recurrence relations, generating functions, permutations, combinations, principle of inclusion and exclusion, graphs (including planar graphs). Further possible topics are graph coloring, trees and cut-sets, combinatorial designs, Boolean algebra.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall, Summer
• Pre-Requisite(s): MA 2320 or MA 2321 or MA 2330

Introduction to proofs in algebra. Topics include elementary number theory (induction, binomial theorem, fundamental theorem of arithmetic, Euclidean algorithm, congruences, Fermat's theorem), group theory (subgroups, cyclic groups, generators, Lagrange's theorem, normal groups, homomorphisms, quotients), ring theory (domains, fields, polynomials, homomorphisms).

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall, Summer
• Pre-Requisite(s): MA 2320 or MA 2321 or MA 2330

Why calculus works: a careful study of the logical basis of calculus, with an emphasis on how to read and write proofs. Topics include set theory, real numbers, infinite sequences, continuity, derivatives and integrals for functions of one variable, sequences of functions, infinite series.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring
• Pre-Requisite(s): MA 2160

First order equations, linear equations, and systems of equations.

• Credits: 2.0
• Lec-Rec-Lab: (0-2-0)
• Semesters Offered: Fall, Spring, Summer
• Restrictions: May not be enrolled in one of the following Major(s): Mathematics, Computer Science
• Pre-Requisite(s): MA 2160 and (MA 2320 or MA 2321 or MA 2330)

Offered second half of semester, to be taken concurrently with MA2321. Topics include first order equations, linear equations and systems of equations.

• Credits: 2.0
• Lec-Rec-Lab: (0-4-0)
• Semesters Offered: Fall, Spring
• Restrictions: May not be enrolled in one of the following Major(s): Mathematics, Computer Science
• Co-Requisite(s): MA 2321
• Pre-Requisite(s): MA 2160

First order equations, linear equations, systems of equations, and Laplace transforms. May include elementary separation of variables for partial differential equations.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall, Spring
• Pre-Requisite(s): MA 2160 and (MA 2320 or MA 2321 or MA 2330)

Creating differential equation models for physical problems such as population dynamics, kinetics, mass-spring systems. Topics include nondimensionalization, numerical methods, phase-plane analysis, first-order systems, linearization, and stability. Includes modeling case studies, using a computer algebra system, and a modeling project.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring
• Pre-Requisite(s): MA 2160 and (MA 2320 or MA 2321 or MA 2330)

Introduction to the design, conduct, and analysis of statistical studies aimed at solving engineering problems. Topics include methods of data collection, descriptive and graphical methods, probability and probability models, statistical inference, control charts, linear regression, design of experiments.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall, Spring, Summer
• Pre-Requisite(s): MA 2160 or MA 3160(C)

Introduction to the design and analysis of statistical studies in the health and life sciences. Topics include study design, descriptive and graphical methods, probability, inference on means, categorical data analysis, and linear regression.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring
• Pre-Requisite(s): MA 1135 or MA 1160 or MA 1161 or MA 1121 or MA 2160(C) or MA 3160(C)

Introduction to probabilistic methods. Topics include probability laws, counting rules, discrete and continuous random variables, expectation, joint distributions, and limit theorems.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall, Summer
• Pre-Requisite(s): MA 2160

Project-based course enabling students to identify statistical methods and analysis using R. Topics include exploratory data analysis, classical statistical tests, sample size and power considerations, correlation, regression,and design experiments using advanced programming techniques.

• Credits: 3.0
• Lec-Rec-Lab: (0-2-2)
• Semesters Offered: Fall, Spring
• Pre-Requisite(s): MA 2710 or MA 2720 or MA 3710 or MA 3715

This course is a workshop focused on solving problems for SAS certified base/certified programmers for SAS credentials.

• Credits: 1.0; Graded Pass/Fail Only
• Lec-Rec-Lab: (0-1-0)
• Semesters Offered: Spring
• Pre-Requisite(s): MA 2710 or MA 2720 or MA 3710 or MA 3715

Nominal and effective rates of interest, present value, discount, annuities certain, sinking funds, bonds, yield rates, and amortization schedules. Financial calculator skills for professional exams. Immunization, swaps, interest rate policy. May include other topics on the FM exam.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall
• Pre-Requisite(s): MA 3160(C)

Topics from the Society of Actuaries professional examinations, primarily financial mathematics and probability. Review, preparation, and practice using SOA exams and other materials.

• Credits: 1.0; Repeatable to a Max of 4; Graded Pass/Fail Only
• Lec-Rec-Lab: (0-1-0)
• Semesters Offered: Fall, Spring
• Pre-Requisite(s): MA 3160

Review of Euclidean geometry. Introduction to geometric constructions, conjecturing of theorems, methods of proof, 3-D geometry, finite geometries, and non-Euclidean geometries. Integrates computer software (e.g. Geometer's Sketchpad) throughout the course.

• Credits: 3.0
• Lec-Rec-Lab: (0-2-2)
• Semesters Offered: Fall
• Restrictions: May not be enrolled in one of the following Class(es): Freshman, Sophomore
• Pre-Requisite(s): MA 2160 or MA 2330

Development of teaching skills through assisting in the instruction of a section of an entry-level undergraduate mathematics course. Students gain experience in leadership, group work, organization skills, cooperative exercise preparation, and class instruction.

• Credits: variable to 4.0; Repeatable to a Max of 4; Graded Pass/Fail Only
• Semesters Offered: Fall, Spring, Summer
• Restrictions: Permission of instructor required

Students study a particular area in mathematics, not ordinarily covered in existing courses. Intended for third-year students.

• Credits: variable to 4.0; Repeatable to a Max of 6
• Semesters Offered: Fall, Spring, Summer
• Restrictions: Permission of instructor required

An introduction to linear and integer programming and related graph problems. Topics include simplex algorithm, duality, branch-and-bound and branch-and-cut, shortest paths, spanning trees, matchings, network flow, graph coloring, and perfect graphs.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring
• Pre-Requisite(s): MA 3210 or CS 2311

An introductory course in combinatorics and graph theory. Topics include designs, enumeration, extremal set theory, finite geometry, graph coloring, inclusion-exclusion, network algorithms, permutations, and trees.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall
• Pre-Requisite(s): MA 3210 or CS 3311

Detailed study of abstract algebra: elementary number theory (congruences, quadratic residues, arithmetic functions), group theory (monoids, permutation groups, homomorphisms, quotients, Lagrange's theorem, finite abelian groups, Sylow's theorems), ring theory (domains, prime and maximal ideals, quotients, PID's), splitting fields, finite fields.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring
• Pre-Requisite(s): MA 3310

A study of fundamental ideas in linear algebra and its applications. Includes review of basic operations, block computations; eigensystems of normal matrices; canonical forms and factorizations; singular value decompositions, pseudo inverses, least-square applications; matrix exponentials and linear systems of ODEs; quadratic forms, extremal properties, and bilinear forms.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall
• Pre-Requisite(s): (MA 2320 or MA 2321 or MA 2330) and MA 3160

A study of complex numbers, functions of a complex variable, analytic functions, elementary functions, integrals, Taylor and Laurent series, residues and poles, and conformal mapping.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring
• Pre-Requisite(s): MA 3160

Real analysis on Euclidean n-space. Topics include real and vector valued functions, metric and normed linear spaces; an introduction to Lebesgue measure and convergence theorems.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall
• Pre-Requisite(s): (MA 2320 or MA 2321 or MA 2330) and MA 3160 and MA 3450

An introduction to solution techniques for linear partial differential equations. Topics include: separation of variables, eigenvalue and boundary value problems, spectral methods, fourier series, and Green's functions. Studies applications in heat and mass transfer (diffusion eqn.), and mechanical vibrations (wave and beam eqns.).

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring, Summer
• Pre-Requisite(s): (MA 3520 or MA 3521 or MA 3530 or MA 3560) and MA 3160

Introduction to vector and tensor mathematics with applications. Topics include vectors; vector differential calculus, space curves; dyadic products and matrices; gradients, divergence, curl, Laplacians; Stokes' integral theorem, Gauss theorem, conservation laws; curvilinear coordinates; tensors, material derivatives; applications of potential theory in electricity and magnetism, heat transfer, solid and fluid mechanics.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall
• Pre-Requisite(s): MA 3160 and (MA 2320 or MA 2321 or MA 2330)

Ordinary differential equations and dynamical systems via a modern geometric approach, including physical and engineering applications. May include chaotic phenomena and fractals.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall
• Pre-Requisite(s): (MA 3520 or MA 3521 or MA 3530 or MA 3560) and MA 3160

Design and analysis of algorithms for problems in linear algebra. Covers floating point arithmetic, condition numbers, error analysis; solution of linear systems (direct and iterative methods), eigenvalue problems, least squares, and singular value decomposition. Includes the use of appropriate software.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring
• Pre-Requisite(s): MA 2320 or MA 2321 or MA 2330

Derivation, analysis, and implementation of numerical methods for partial differential equations; applications to fluid mechanics, elasticity, heat conduction, acoustics, or electromagnetism.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall
• Pre-Requisite(s): (MA 3520 or MA 3521 or MA 3530 or MA 3560) and MA 3160

Introduction to probabilistic methods. Topics include probability laws, counting rules, discrete and continuous random variables, moment generating functions, expectation, joint distributions, and the Central Unit Theorem.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall, Spring, Summer
• Restrictions: Permission of department required
• Pre-Requisite(s): MA 3160 and (MA 2710 or MA 2720 or MA 3710 or MA 3715)

Topics include sampling distributions, theory of point and interval estimation, properties of estimators, and theory of hypothesis testing.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: On Demand
• Restrictions: Permission of department required
• Pre-Requisite(s): MA 4700

Covers simple, multiple, and polynomial regression; estimation, testing, and prediction; weighted least squares, matrix approach, dummy variables, multicollinearity, model diagnostics and variable selection. A statistical computing package is an integral part of the course. Some prior experience with R is expected.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall, Summer
• Pre-Requisite(s): MA 2710 or MA 2720 or MA 3710 or MA 3715 or MA 5701

Covers construction and analysis of completely randomized, randomized block, incomplete block, Latin squares, factorial, fractional factorial, nested and split-plot designs. Also examines fixed, random and mixed effects models and multiple comparisons and contrasts. The R programming language is an integral part of the course.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring, Summer
• Pre-Requisite(s): MA 2710 or MA 2720 or MA 3710 or MA 3715 or MA 5701

Introduces nonparametric techniques that require less restrictive assumptions on the data. Topics include statistical inference concerning location and dispersion parameters as well as the general distributions. Goodness-of-fit tests for count and ordinal data are also discussed.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall, in odd years
• Pre-Requisite(s): MA 2710 or MA 2720 or MA 3710 or MA 3715

Covers joint probability distributions, functions of random variables, sampling and limiting distributions, introduction to parameter estimation.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall
• Pre-Requisite(s): (MA 3720 or EE 3180) and MA 3160

Continuation of MA4760. Theory of point and interval estimation; properties of estimators, theory of hypothesis testing, analysis of variance, analysis of categorical data and other topics as time allows

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring
• Pre-Requisite(s): MA 4760

Statistical modeling and inference for analyzing experimental data that have been observed at different points in time. Topics include models for stationary and nonstationary time series, model specification, parametric estimation, and time regression models. Some prior experience with R is expected.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring
• Pre-Requisite(s): (MA 2710 or MA 2720 or MA 3710 or MA 3715) and (MA 3720 or EE 3180)

Application, construction, and evaluation of statistical models used for prediction and classification. Topics include data visualization and exploratory methods, the normal theory regression model, logistic and Poisson regression, linear and quadratic discriminant analysis, and classification with logit models. Some prior experience with R is expected.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall
• Pre-Requisite(s): MA 3740 or MA 4710 or MA 4720 or MA 4780

Derivative securities, hedging, arbitrage, binomial and Black-Scholes pricing models. Life insurance and annuities. May include other topics on professional actuarial exams.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring, in odd years
• Pre-Requisite(s): MA 3720 and MA 3810

Loss distribution used for modeling insurance claims. Frequency, severity, coverage modifications, risk measures, models, credibility. May include other topics on professional actuarial exams.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring, in even years
• Pre-Requisite(s): MA 3720

Independent study in an area of mathematical sciences under the guidance of a faculty member.

• Credits: variable to 4.0; Repeatable to a Max of 6
• Semesters Offered: Fall, Spring, Summer
• Restrictions: Permission of instructor required

Mathematical induction, Euclid's algorithm, prime and composite integers, algebra of congruences, Chinese remainder theorem, quadratic reciprocity law, number theoretic functions, first degree Diophantine equations, Pythagorean triples, Fermat and Mersenne numbers, factoring algorithms, tests for primality and various applications. Projects use Mathematica and EXCEL software packages.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring
• Pre-Requisite(s): MA 3210 or MA 3310 or MA 3924

Survey of the development of mathematics from ancient times to today. How cultural, mathematical, and technological developments have influenced one another throughout history. Course provides all necessary historical background.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall
• Restrictions: May not be enrolled in one of the following Class(es): Freshman, Sophomore
• Pre-Requisite(s): UN 1015

Students study in greater depth a particular area of mathematics not studied in existing courses.

• Credits: variable to 4.0; Repeatable to a Max of 6
• Semesters Offered: Fall, Spring, Summer
• Restrictions: Permission of instructor required

Basic algorithmic and computational methods used in the solution of fundamental combinatorial problems. Topics may include but are not limited to backtracking, hill-climbing, combinatorial optimization, linear and integer programming, and network analysis.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall, in even years
• Restrictions: Must be enrolled in one of the following Level(s): Graduate

Review of basic graph theory followed by one or more advanced topics which may include topological graph theory, algebraic graph theory, graph decomposition or graph coloring.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall, in odd years
• Restrictions: Must be enrolled in one of the following Level(s): Graduate
• Pre-Requisite(s): MA 5301 or MA 4209

Methods for the construction of different combilateral structures such as difference sets, symmetric designs, projective geometries, orthogonal latin squares, transversal designs, steiner systems and tournements.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring
• Pre-Requisite(s): MA 4209 and MA 5301

Basic concepts, motivation from information transmission, finite fields, bounds, optimal codes, projective spaces, duality and orthogonal arrays, important families of codes, MacWilliams' identities, applications.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall

Topics will vary with instructor but will emphasize real world applications of conbinatorial methods. Topics include: cyptography, network reliability, operations research or scheduling, among many other possible choices.

• Credits: 3.0; Repeatable to a Max of 48
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring, in even years
• Restrictions: Permission of department required

Theory of finite groups, their actions and applications. Review of basic group theory (Sylow theorems). Simple groups and group actions (transitivity). Symmetric and alternating groups, linear groups and more general classical groups. Applications: finite fields, designs, finite geometries.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall
• Restrictions: Must be enrolled in one of the following Level(s): Graduate
• Pre-Requisite(s): MA 4310

Introduction to polynomial rings, finite fields and field extensions. Review of basic notions concerning rings, polynomials and power series. General theory of finite and algebraic field extensions. The basics of Galois theory (field extensions and their Galois groups).

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring
• Pre-Requisite(s): MA 5301

Introduction to commutative algebra and combinatorial algebra. A first description of research issues is also given. Topics include: commutative rings (quotients, morphisms; prime, maximal ideals); modules, Noetherian, artinian rings; combinatorial algebra (gradings, monomials, Hilbert functions, resolutions, level, Gorenstein algebras).

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall, in even years
• Restrictions: Permission of instructor required
• Pre-Requisite(s): MA 4310

Topics may include, but not limited to, unique factorization, elementary estimates on the distribution of prime numbers, congruences, Chinese remainder theorem, primitive roots, n-th powers modulo an integer, quadratic residues, quadratic reciprocity, quadratic characters, Gauss sums, and finite fields.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring, in odd years
• Restrictions: Permission of instructor required
• Pre-Requisite(s): MA 4310

A graduate-level study of the Lebesgue integral including its comparison with the Riemann integral; the Lebesgue measure, measurable functions and measurable sets. Integrable functions, the monotone convergence theorem, the dominated convergence theorem, and Fatou's lemma.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: On Demand
• Restrictions: Must be enrolled in one of the following Level(s): Graduate

Functional analytic basis of modern numerical analysis. Linear spaces, including Sobolev space theory, linear operators, approximation theory, and applications to Fourier analysis, fixed point theorems, iterative methods, finite difference methods, etc.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall
• Pre-Requisite(s): MA 4330 and MA 4450

Qualitative theory of solutions of ordinary differential equations, including existence, uniqueness, and continuous dependence; theory of linear equations; solution of constant coefficient systems; phase plane analysis; design and analysis of numerical methods.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall
• Pre-Requisite(s): MA 4450 and MA 4330

Theory of partial differential equations. Covers classification, appropriate boundary conditions and initial conditions, PDEs of mathematical physics, characteristics, Green`s functions, and variational principles.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring
• Restrictions: Must be enrolled in one of the following Level(s): Graduate
• Pre-Requisite(s): MA 5501

Topics will vary with instructor, but will cover areas in applied mathematics.

• Credits: 3.0; Repeatable to a Max of 48
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: On Demand

Design and analysis of algorithms for problems in linear algebra. Covers floating point arithmetic, condition numbers, error analysis, solution of linear systems (direct and iterative methods), eigenvalue problems, least squares, and singular value decomposition. Includes the use of appropriate software including high performance computational libraries.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring
• Pre-Requisite(s): MA 4330 or MA 4630

Analysis and design of algorithms for the numerical solution of partial differential equations.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall
• Pre-Requisite(s): MA 4610 or MA 5627 and MA 5501

Numerical solution of unconstrained and constrained optimization problems and nonlinear equations. Topics include optimality conditions, local convergence of Newton and Quasi-Newton methods, line search and trust region globalization techniques, quadratic penalty and augmented Lagrangian methods for equality-constrained problems, logarithmic barrier method for inequality-constrained problems, and Sequential Quadratic Programming.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring, in even years
• Pre-Requisite(s): MA 4330 or MA 4610 or MA 4630 or MA 5627

Design and analysis of numerical algorithms for linear algebra. Covers sparse iterative algorithms (including pre-conditioners) for linear solve, eigenvalue, and singular value problems. Includes the use of appropriate high performance computational libraries and applications of linear algebra.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall
• Restrictions: Permission of instructor required

Introduction to design, conduct, and analysis of statistical studies, with an introduction to statistical computing and preparation of statistical reports. Topics include design, descriptive, and graphical methods, probability models, parameter estimation and hypothesis testing.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall, Spring, Summer
• Restrictions: Must be enrolled in one of the following Level(s): Graduate

Review of distribution theory and transformation theory of random variables. Topics include sufficiency; exponential and Bayesian models; estimation methods, including optimality theory; basics of confidence procedures and hypothesis testing, including the Neyman-Pearson framework.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall
• Pre-Requisite(s): MA 4450 and (MA 4770 or MA 4705)

Optimal tests and decision theory. Other topics may include regression and analysis of variance, discrete data analysis, nonparametric models.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring
• Pre-Requisite(s): MA 5711

Introduces nonparametric techniques that require less restrictive assumptions on the data. Topics include statistical inference concerning location and dispersion parameters as well as the general distributions. Goodness-of-fit tests for count and ordinal data are also discussed.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall, in odd years
• Pre-Requisite(s): MA 2710 or MA 2720 or MA 3710 or MA 3715

A unified development of linear statistical models that includes the following topics: matrices and quadratic forms, normal and chi-square distribution theory, ordinary and generalized least squares modeling, estimability, estimation and tests of hypothesis.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall
• Pre-Requisite(s): MA 4710 and MA 4720 and MA 4760 and MA 4330

The focus of this course is on generalized linear models (GLM), including the structure of GLM, statistical theory for GLM (maximum-likelihood estimation of GLM and hypothesis tests), and their applications. Also covers generalized linear mixed and random effects models.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring, in odd years
• Pre-Requisite(s): (MA 4710 or MA 5731) and (MA 4770 or MA 5712)

Random vectors and matrix algebra. Multivariate Normal distribution. Theory and application of multivariate techniques including discrimination and classification, clustering, principal components, canonical correlation, and factor analysis.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring
• Pre-Requisite(s): (MA 4710 or MA 4720) and MA 2320

Application of statistical methods to solve problems in genetics such as locating genes. Topics include basic concepts of genetics, linkage analysis and association studies of family data, association tests based on population samples (for both qualitative and quantitative traits), gene mapping methods based on family data and population samples.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring, in odd years

Course will cover various topics in statistical data mining, including linear model selection and regularization, regression and smoothing splines, unsupervised learning, resampling methods, tree-based methods, and deep learning. This course will introduce modern statistical data mining techniques and their applications.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring, in odd years
• Pre-Requisite(s): (MA 4700 or MA 4760) and (MA 5701 or MA 4710)

Introduction to computationally intensive statistical methods. Topics include resampling methods, Monte Carlo simulation methods, smoothing technique to estimate functions, and methods to explore data structure. This course will use the statistical software R.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall
• Pre-Requisite(s): MA 4770(C) or (MA 4700 and MA 5701)

The theory of Bayesian inference. Topics include prior specifications, basics of decision theory, Markov chain, Monte Carlo, Bayes factor, linear regression, linear random effects model, hierarchical models, Bayesian hypothesis testing, Bayesian model selection.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall, in even years
• Pre-Requisite(s): MA 4330 and MA 4710 and MA 4760

Construction, evaluation, and application of generalized linear models to analyze different types of data. Topics include logistic and Poisson regression, multinomial logit models, random effects and mixed effect models, models for repeated measures and longitudinal data. Introduce theory on GLM fitting, hypothesis testing, and diagnostic models.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: On Demand
• Pre-Requisite(s): MA 4710 and (MA 4760 or (MA 4700 and MA 5701))

Statistical modeling and inference for analyzing experimental data that have been observed at different points in time. Topics include models for stationary and non stationary time series, model specification, parametric estimation, model diagnostics and forecasting, seasonal models and time series regression models.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring
• Pre-Requisite(s): (MA 2710 or MA 2720 or MA 3710 or MA 3715 or MA 5701) and (MA 3720 or EE 3180 or MA 4700)

Application, construction, and evaluation of statistical models used for prediction and classification. Topics include data pre-processing, over-fitting and model tuning, linear and nonlinear regression models and linear and nonlinear classification models.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall, Spring
• Pre-Requisite(s): MA 3740 or MA 4710 or MA 4720 or MA 4780 or (MA 4700 and MA 5701)

Structure of 2-way contingency tables. Goodness-of-fit tests and Fisher's exact test for categorical data. Fitting models, including logistic regression, logit models, probit and extreme value models for binary response variables. Building and applying log linear models for contingency tables.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Spring, in odd years

Survey key issues in undergraduate mathematics education, including course preparation, assessment, student learning, developing assignments, instructional strategies, technology, motivating students and institutional resources. The lab involves practical training in the computer algebra system used in the mathematics lab.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall, Spring
• Restrictions: Must be enrolled in one of the following Level(s): Graduate; Must be enrolled in one of the following Major(s): Mathematical Sciences, Statistics, Mathematics

An introduction to college-level online teaching principles. Based on nationally recognized standards for online course evaluation, the course will focus on course preparation, assessment, instructional strategies to increase student learning and motivation, and the use of instructional technology to optimize an online course.

• Credits: 1.0
• Lec-Rec-Lab: (0-1-0)
• Semesters Offered: On Demand

Special topics in mathematics.

• Credits: variable to 12.0; Repeatable to a Max of 48
• Semesters Offered: Fall, Spring, Summer

Original investigation in theoretical, or applied mathematics, and submission of a thesis in partial fulfillment of the requirements for the master's degree in mathematics.

• Credits: variable to 12.0; May be repeated; Graded Pass/Fail Only
• Semesters Offered: Fall, Spring, Summer
• Restrictions: Permission of instructor required; Must be enrolled in one of the following Level(s): Graduate

Advanced topics in design theory.

• Credits: 3.0; Repeatable to a Max of 18
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: On Demand
• Restrictions: Permission of department required
• Pre-Requisite(s): MA 5222

Advanced topics in coding theory.

• Credits: 3.0; Repeatable to a Max of 18
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: On Demand
• Restrictions: Permission of department required
• Pre-Requisite(s): MA 5231

Advanced topics in combinatorics, algebra, or number theory.

• Credits: 3.0; Repeatable to a Max of 18
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: On Demand
• Restrictions: Permission of department required

Advanced topics in algebra.

• Credits: 3.0; Repeatable to a Max of 18
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: On Demand
• Restrictions: Permission of department required
• Pre-Requisite(s): MA 5302

Advanced topics in applied mathematics.

• Credits: 3.0; Repeatable to a Max of 18
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: On Demand
• Restrictions: Permission of department required

Advanced topics in computational mathematics.

• Credits: 3.0; Repeatable to a Max of 18
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: On Demand
• Restrictions: Permission of department required; Must be enrolled in one of the following Level(s): Graduate

Topics may include but are not limited to experimental designs, methods of quality improvement, discrete data analysis, regression analysis, sampling theory, multivariate methods, resampling methods, statistical computing, integral and measure theory, stochastic processes, asymptotic methods, optimization, modeling, nonparametric and parametric statistics.

• Credits: variable to 12.0; Repeatable to a Max of 18
• Semesters Offered: Spring, in even years
• Restrictions: Must be enrolled in one of the following Level(s): Graduate

Review of discrete probability, probability measures, random variables, distribution functions, expectation as a Lebesgue-Stieltjes integral, independence, modes of convergence, laws of large numbers and iterated logarithms, characteristic functions, central limit theorems, conditional expectation, martingales, introduction to stochastic processes.

• Credits: 3.0
• Lec-Rec-Lab: (0-3-0)
• Semesters Offered: Fall, in odd years
• Pre-Requisite(s): MA 3720 and MA 5401

Special topics in mathematics.

• Credits: variable to 12.0; Repeatable to a Max of 18
• Semesters Offered: On Demand

Taken in partial fulfillment of the doctoral thesis requirement.

• Credits: variable to 12.0; May be repeated; Graded Pass/Fail Only
• Semesters Offered: Fall, Spring, Summer
• Restrictions: Permission of instructor required; Must be enrolled in one of the following Level(s): Graduate