Courses
MATH0097  Beginning Algebra 
Course Description This is a three (3) hour noncredit 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. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH0099  Intermediate Algebra 
Course Description 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. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH1001  Quantitative Skills and Reasoning 
Course Description 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. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH1101  Introduction to Mathematical Modeling 
Course Description This course is an introduction to mathematical modeling using graphical, numerical, symbolic, and verbal techniques to describe and explore realworld 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. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH1111  College Algebra 
Course Description This course is a functional approach to algebra that incorporates the use of appropriate technology. Emphasis will be placed on the study of functions, their graphs, inequalities, and linear, quadratic, piecewise defined, rational, polynomial, exponential, and logarithmic functions. Appropriate applications will be included. Credit for this course is not allowed if the student already has credit for a highernumbered mathematics course. Credit for this course is not allowed if the student already has credit for MATH 1113 or higher. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH1113  Precalculus 
Course Description 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. Lec Hours: 3.00 to 4.00 Lab Hrs: Total Hrs: 3.00 to 4.00 


MATH1401  Introduction to Statistics 
Course Description This is a course in basic statistics including descriptive methods, distributions, inference, and hypothesis testing. An eCore course only. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH1413  Survey of Calculus 
Course Description 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. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH1501  Calculus I 
Course Description An eCore course. Topics include functions, limits, continuity, the derivative, antidifferentiation, the definite integral, and applications. Lec Hours: 4.00 Lab Hrs: Total Hrs: 4.00 


MATH1634  Calculus I 
Course Description The first of a threecourse sequence in calculus. Limits, applications of derivatives to problems in geometry and the sciences (physical and behavioral). Problems which lead to antiderivatives. Lec Hours: 4.00 Lab Hrs: Total Hrs: 4.00 


MATH2008  Foundations of Numbers and Operations 
Course Description 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. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH2009  Sophomore Seminar 
Course Description 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. Lec Hours: 1.00 Lab Hrs: Total Hrs: 1.00 


MATH2063  Introductory Statistics 
Course Description (Noncredit for mathematics major or minor). A noncalculus based introduction to methods of descriptive statistics, probability, discrete and continuous distributions, and other fundamental concepts or statistics. variance will be covered. Appropriate technology, a graphing calculator or statistical software package, will be used. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH2644  Calculus II 
Course Description A continuation of MATH 1634. The definite integral and applications, calculus of transcendental functions, standard techniques of integration, sequences and series. Lec Hours: 4.00 Lab Hrs: Total Hrs: 4.00 


MATH2654  Calculus III 
Course Description A continuation of MATH 2644. Topics include functions of two, three, and more variables, multiple integrals, and topics in vector calculus. Lec Hours: 4.00 Lab Hrs: Total Hrs: 4.00 


MATH2853  Elementary Linear Algebra 
Course Description A concrete, applied approach to matrix theory and linear algebra. Topics include matrices and their connection to systems of linear equations, GaussJordan elimination, linear transformations, eigenvalues, and diagonalization. The use of mathematical software is a component of the course. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH3003  Transition to Advanced Mathematics 
Course Description A transition course to advanced mathematics. Topics include logic, set theory, properties of integers and mathematical induction, relations, and functions. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH3063  Applied Statistics 
Course Description 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. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH3243  Advanced Calculus 
Course Description A rigorous introduction to the fundamental concepts of singlevariable calculus. Topics included the real numbers, limits, continuity, uniform continuity, differentiation, integration, and sequences and series. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH3303  Ordinary Differential Equations 
Course Description Modeling with and solutions of ordinary differential equations, including operators, Laplace transforms, and series; systems of ODE's, and numerical approximations. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH3353  Methods of Applied Mathematics 
Course Description Solutions of PDE's using orthogonal function systems. Studies of classical boundaryvalue problems, including the heat equation, wave equation, and potential. Integral transform and numerical methods of solutions. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH3413  Survey of Modern Algebra 
Course Description 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. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH3703  Geometry for P8 Teachers 
Course Description (Noncredit for mathematics major or minor.) Special emphasis for teachers of grades P8. Logic; real numbers; basic and transformational geometry; measurement, including the metric system; problem solving; methods and materials for teaching mathematics at the P8 level. A continuation of MATH 2703. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH3803  Algebra for P8 Teachers I 
Course Description (Noncredit for mathematics major or minor.) Special emphasis for teachers of grades P8. Broadens understanding of the fundamental concepts of algebra, with particular attention to specific methods and materials of instruction. Special emphasis for teachers of grades P8. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH3805  Functions & Modeling 
Course Description 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. Course is restricted to UTEACH students. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH3825  Research Methods 
Course Description Specially designed to meet the needs of future teachers, students design and carry out four independent inquiries, which they write up and present in the manner that is common in the scientific community. Course is restricted to UTEACH students. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4003  Dynamical Systems 
Course Description A computational introduction to dynamical systems. Topics include discrete and continuous systems, bifurcations, stability, and chaos: Julia and Mandelbrot sets, applications to biology and physics. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4013  Numerical Analysis 
Course Description 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. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4043  Number Theory 
Course Description An indepth study of selected topics in number theory. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4103  Operations Research 
Course Description An introduction to linear and nonlinear programming. Topics include the formulation of linear programming models; the simplex method, duality and sensitivity; integer programming, the use of spreadsheets and software applications to solve constrained optimization problems. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4153  Applied Mathematical Modeling 
Course Description 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. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4203  Mathematical Probability 
Course Description 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 and Normal. The course provides the underlying theory and mathematically derived techniques of Statistics. Hypothesis testing for various parameters and regression are also discussed in this course. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4213  Mathematical Statistics 
Course Description A continuation of MATH 4203, this course introduces certain discrete and continuous distributions such as the Poisson, Gamma, T and F. The course also provides an introduction to multivariate distributions. Estimation techniques such as the method of moments and maximum likelihood are discussed along with properties such as unbiasedness, efficiency, sufficiency and consistency of estimators. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4233  College Geometry 
Course Description An introduction to Euclidean and nonEuclidean geometries developed with the study of constructions, transformations, applications, and the rigorous proving of theorems. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4253  Real Analysis 
Course Description An introduction to measure theory and integration. Topics include metric spaces, measure and integration, elementary functional analysis, and function spaces. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4313  Advanced Ordinary Differential Equations 
Course Description 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. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4353  Complex Analysis 
Course Description 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. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4363  Partial Differential Equations 
Course Description Studies of classical boundaryvalue problems, including the heat equation, wave equation, and potential equation. Solution methods including characteristics, separation of variables, integral transforms, orthogonal functions, Green's functions, Fourier series. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4413  Abstract Algebra I 
Course Description The first of a twocourse, indepth, rigorous study in topics in the theory of groups, rings and fields. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4423  Abstract Algebra II 
Course Description A continuation of MATH 4413. Topics include linear groups, group representations, rings, factorization, modules, fields, and Galois Theory. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4473  Combinatorics 
Course Description An introduction to combinatorics. Topics include the pigeonhole principle, combinations, permutations, distributions, generating functions, recurrence relations, and inclusionexclusion. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4483  Graph Theory 
Course Description An introduction to the fundamental concepts of graph theory. Topics include isomorphisms, Euler graphs, Hamiltonian graphs, graph colorings, trees, networks, planarity. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4513  Linear Algebra I 
Course Description The first course in a comprehensive, theoreticallyoriented, twocourse sequence in linear algebra. Topics include vector spaces, subspaces, linear transformations, determinants, and elementary canonical forms. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4523  Linear Algebra II 
Course Description A continuation of MATH 4513. Topics include rational and Jordan forms, inner product spaces, operators on inner product spaces, and bilinear forms. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4613  Introduction to Topology 
Course Description 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. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4713  Probability and Statistics for P8 Teachers 
Course Description Noncredit for mathematics major or minor. Special emphasis for teachers of grades P8. Broadens understanding of the fundamental concepts of probability and statistics, with particular attention to specific methods and materials of instruction. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4753  Trigonometry and Calculus for the P8 Teacher 
Course Description Noncredit for mathematics major or minor. An introduction to the foundations of trigonometry, analytic geometry, and calculus. Designed especially for teachers of grades P8. Helps promote a better understanding of the content, scope, and sequence of the P12 mathematics curriculum. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4773  Number Theory for P8 Teachers 
Course Description Noncredit for mathematics major or minor. Elementary number theory with emphasis on relevance to teaching at the P8 level. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4803  Analysis of Variance 
Course Description This course involves a thorough examination of the analysis of variance statistical method including hypotheses tests, interval estimation, and multiple comparison techniques of both singlefactor and twofactor models. Extensive use of a statistical computer package, Minitab, will be a necessary part of the course. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4813  Regression Analysis 
Course Description 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. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4823  Applied Experimental Design 
Course Description This course provides an introduction to design and analysis of planned experiments. Topics will include one and twoway designs; completely randomized designs, randomized block designs, Latinsquare and factorial designs. Use of technology will be an integral part of this course. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4833  Applied Nonparametric Statistics 
Course Description 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. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4843  Introduction to Sampling 
Course Description This course will consider applied principles and approaches for conducting a sample survey, designing a survey, and analyzing a survey. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4853  An Introduction to the History of Mathematics 
Course Description 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. Prerequisite: Completion of corelevel mathematics, ENGL 1102 or consent of instructor. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4863  Algebra for P8 Teachers II 
Course Description Noncredit 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. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4885  Special Topics in Applied Statistics 
Course Description This course will be taught from a variety of statistical topics such as statistical quality control, applied time series, game theory, etc. Prerequisite: Dependent upon course title. Lec Hours: 3.00 Lab Hrs: Total Hrs: 3.00 


MATH4983  Senior Project 
Course Description A facultydirected independent research project culminating in the writing of a paper and an oral presentation of the results of the project. Prerequisite: Senior standing as a mathematics major. Lec Hours: 1.00 Lab Hrs: Total Hrs: 1.00 


MATH4985  Special Topics in Mathematics 
Course Description Courses in selected areas upon demand. Titles will be specified at time of offering. Lec Hours: Lab Hrs: 1.00 to 3.00 Total Hrs: 1.00 to 3.00 

