This is a three (3) hour non-credit course in the fundamentals of arithmetic and elementary algebra. It is designed to prepare students who have deficiencies for MATH 0099 and it does not carry credit for graduation. Topics include arithmetic, geometry, real numbers, polynomials, linear equations in one variable, inequalities, factoring, and linear equations in two variables.

This course is a three (3) hour noncredit course that does not carry credit for graduation. It is designed to prepare students for college level mathematics by increasing their awareness of the structure of elementary mathematics. Emphasis is on principles, techniques, and applications of basic algebra. Topics include polynomials, rational expressions, exponents, radicals, calculator usage, linear equations and inequalities, quadratic equations, and graphs of equations in two variables.

This course is an alternative in Area A of the Core Curriculum and is not intended to supply sufficient algebraic background for students who intend to take Precalculus or the Calculus sequence for science majors. This course places quantitative skills and reasoning in the context of experiences that students will likely encounter. It emphasizes processing information in context from a variety of representations, understanding of both the information and the processing, and understanding which conclusions can be reasonably determined.

This course is an introduction to mathematical modeling using graphical, numerical, symbolic, and verbal techniques to describe and explore real-world data and phenomena. Emphasis is on the use of elementary functions to investigate and analyze applied problems and questions, supported by the use of appropriate technology, and of effective communication of quantitative concepts and results.

This course is a functional approach to algebra that incorporates the use of appropriate technology. Emphasis will be placed on the study of functions, and their graphs, inequalities, and linear, quadratic, piece-wise defined, rational, polynomial, exponential, and logarithmic functions. Appropriate applications will be included. Students cannot receive credit for both Math 1111 and Math 1113.

This course is designed to prepare students for calculus, physics, and related technical subjects. Topics include an intensive study of algebraic and transcendental functions accompanied by analytic geometry. Credit for this course is not allowed if the student already has credit for MATH 1634. If course is taken through eCore, course is 3 credit hours.

This is a course in basic statistics including descriptive methods, distributions, inference, and hypothesis testing. An eCore course only.

A survey of the differential and integral calculus of polynomial, rational, exponential and logarithmic functions is given. Detailed applications to problems and concepts from business, economics and life science are covered.

An eCore course. Topics include functions, limits, continuity, the derivative, antidifferentiation, the definite integral, and applications.

The first of a three-course sequence in calculus. Limits, applications of derivatives to problems in geometry and the sciences (physical and behavioral). Problems which lead to antiderivatives.

The first of a three-course sequence in calculus. Limits, applications of derivatives to problems in geometry and the sciences (physical and behavioral). Problems which lead to antiderivatives.

This course is an Area F introductory mathematics course for early childhood education majors. This course will emphasize the understanding and use of the major concepts of numbers and operations. As a general theme, strategies of problem solving will be used and discussed in the context of various topics. Prerequisites: MATH 1001, MATH 1101, MATH 1111 or MATH 1113.

The impact of mathematics in the real world will be presented in the form of lectures, computer labs, and seminars offered by the department of mathematics faculty. The course includes problem solving sessions involving competition problems (e.g. Putnam, MCM, IMO,...) and the use of the technology and computer Algebra systems, such as Maple and Matlab. The course also explores applications of mathematics to the real world, its history and connection to other sciences through projects and reports. A final exam will assess their understanding of the subject matter discussed throughout the course.

(Non-credit for mathematics major or minor). A non-calculus based introduction to methods of descriptive statistics, probability, discrete and continuous distributions, and other fundamental concepts ot statistics. variance will be covered. Appropriate technology, a graphing calculator or statistical software package, will be used.

A continuation of MATH 1634. The definite integral and applications, calculus of transcendental functions, standard techniques of integration, sequences and series.

A continuation of MATH 2644. Topics include functions of two, three, and more variables, multiple integrals, and topics in vector calculus.

A concrete, applied approach to matrix theory and linear algebra. Topics include matrices and their connection to systems of linear equations, Gauss-Jordan elimination, linear transformations, eigenvalues, and diagonalization. The use of mathematical software is a component of the course.

A transition course to advanced mathematics. Topics include logic, set theory, properties of integers and mathematical induction, relations, and functions.

A noncalculus-based introductory statistics course in which descriptive statistics, probability, discrete and continuous distributions, hypothesis testing, and confidence intervals are studied. Basic coverage of regression and analysis of variance will be included. Appropriate technology, a graphing calculator, or statistical software package will be used.

A rigorous introduction to the fundamental concepts of single-variable calculus. Topics included the real numbers, limits, contunuity, uniform continuity, differentiation, integration, and sequences and series.

Modeling with and solutions of ordinary differential equations, including operators, Laplace transforms, and series; systems of ODE's, and numerical approximations.

Solutions of PDE's using orthogonal function systems. Studies of classical boundary-value problems, including the heat equation, wave equation, and potential. Integral transform and numerical methods of solutions.

A survey of group, ring, and field theory. Topics include algebraic structures on the integers, the real numbers, and the complex numbers; modular arithmetic; the Euclidean Algorithm; group and ring homomorphisms and isomorphisms; and field extensions with applications to constructions.

(Non-credit for mathematics major or minor.) Special emphasis for teachers of grades P-8. Logic; real numbers; basic and transformational geometry; measurement, including the metric system; problem solving; methods and materials for teaching mathematics at the P-8 level. A continuation of MATH 2703.

(Non-credit for mathematics major or minor.) Special emphasis for teachers of grades P-8. Broadens understanding of the fundamental concepts of algebra, with particular attention to specific methods and materials of instruction. Special emphasis for teachers of grades P-8.

This is a mathematics course designed to address the unique needs of future teachers of mathematics. It is required of UTEACH math majors and also counts toward their mathematics degree. In the course, students engage in explorations and lab activities designed to strengthen and expand their knowledge of the topics found in secondary mathematics.

A computational introduction to dynamical systems. Topics include discrete and continuous systems, bifurcations, stability, and chaos: Julia and Mandelbrot sets, applica- tions to biology and physics.

The practices and pitfalls of numerical computation. Topics include floating point representations; precision, accuracy, and error; numerical solution techniques for various types of problems; root finding, interpolation, differentiation, integration, systems of linear and ordinary differentiation.

An in-depth study of selected topics in number theory.

An introduction to linear and nonlinear programming. Topics include the formulation of linear programming models; the simplex method, duality and sensitivity; integer program- ming, the use of spreadsheets and software applications to solve constrained optimization problems.

An introduction to the creation and use of mathematical models. Mathematical techniques will be developed and applied to real systems in areas including chemistry, biology, physics and economics. Students will be expected to make written and oral presentations in a professional manner. This course will emphasize the creation and testing of models and discussions of errors and forecasting. Students will work on projects singly and as part of a group. Same as CSC 4153.

A calculus based statistics course with a strong emphasis on probability theory. Exercises are both theoretical and applied, including both discrete and continuous probability distributions such as the Binomial, Geometric, Hypergeometric, Poisson, Normal, Beta and Gamma. The course provides the underlying theory and mathematically derived techniques of Statistics.

A continuation of MAT 4203 including sampling distributions, hypothesis testing, regression, analysis of variance and nonparametric tests.

An introduction to Euclidean and non-Euclidean geometries developed with the study of constructions, transformations, applications, and the rigorous proving of theorems.

An intrduction to measure theory and integration. Topics include metric spaces, measure and integration, elementary functional analysis, and function spaces.

Advanced topics in the theory of ordinary differential equations. Topics include existence theory, linear systems, phase plane analysis, asymptotic behavior of solutions, stability of linear systems, Lyapounov's second method and applications.

A study of the theory of complex functions and their applications, including analytic and elementary functions; derivatives and integrals; The Cauchy Integral Theorem and contour integration; Laurent series; the theory of residues; conformal mapping; and applications.

Classical methods used in partial differential equations. Topics include data propagating along characteristics, classification of systems of the first order equation, the method of transforms and separation of variables, and typical applications of the wave and heat equations.

The first of a two-course, in-depth, rigurous study in topics in the theory of groups, rings and fields. New prerequisite MATH 3003 replaces MATH 3413 which was removed from all tracks except track F, secondary education.

A continuation of MATH 4413. Topics include linear groups, group representations, rings, factorization, modules, fields, and Galois Theory.

An introduction to combinatorics. Topics include the pigeonhole principle, combinations, permutations, distributions, generating functions, recurrence relations, and inclusion-exclusion.

An introduction to the fundamental concepts of graph theory. Topics include isomorphisms, Euler graphs, Hamiltonian graphs, graph colorings, trees, networks, planarity.

The first course in a comprehensive, theoretically-oriented, two-course sequence in linear algebra. Topics include vector spaces, subspaces, linear transformations, determinants, and elementary canonical forms.

A continuation of MATH 4513. Topics include rational and Jordan forms, inner product spaces, operators on inner product spaces, and bilinear forms.

An elementary but rigorous study of the topology of the real line and plane and an introduction to general topological spaces and metric spaces. Emphasis placed on the properties of closure, compactness, and connectedness.

Non-credit for mathematics major or minor. Special emphasis for teachers of grades P-8. Broadens understanding of the fundamental concepts of probability and statistics, with particular attention to specific methods and materials of instruction.

Non-credit for mathematics major or minor. An introduction to the foundations of trigonometry, analytic geometry, and calculus. Designed especially for teachers of grades P-8. Helps promote a better understanding of the content, scope, and sequence of the P-12 mathematics curriculum.

Non-credit for mathematics major or minor. Elementary number theory with emphasis on relevance to teaching at the P-8 level.

This course involves a thorough examination of the analysis of variance statistical method including hypotheses tests, interval estimation, and multiple comparison techniques of both single-factor and two-factor models. Extensive use of a statistical computer package, Minitab, will be a necessary part of the course.

This course involves a thorough examination of both simple linear regression models and multivariate models. The course requires extensive use of statistical software for confidence intervals, statistical tests, statistical plots, and model diagnostics.

This course provides an introduction to design and analysis of planned experiments. Topics will include one and two-way designs; completely randomized designs, randomized block designs, Latin-square and factorial designs. Use of technology will be an integral part of this course.

This course will involve the study of several nonparametric tests including the Runs test, Wilcoxon signed rank and rank sum test, Kruskal, Wallis and Friedman F test. These tests will include applications in the biological sciences, engineering, and business areas. A statistical software package will be used to facilitate these tests.

This course will consider applied principles and approaches for conducting a sample survey, designing a survey, and analyzing a survey.

The development of mathematics from prehistoric times through late 19th century/early 20th century is explored. Emphasis is given to key people, problems, cultural influences for various historic periods that have shaped what we think of as contemporary mathematics. This is a WAC course.

Non-credit for mathematics major or minor. A continuation of MATH 3803. Topics include inverse, exponential, and logarithmic functions; systems of equations and inequalities ;matrices and determinants; sequences and series; the Binomial Theorem; and mathematical induction.

This course will be taught from a variety of statistical topics such as statistical quality control, applied time series, game theory, etc.

A faculty-directed independent research project culminating in the writing of a paper and an oral presentation of the results of the project.

Courses in selected areas upon demand. Titles will be specified at time of offering.