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Course List


MATH 0301 THEA TEST PREPARATION (3-0) Review of topics covered on the Texas Higher Education Assessment (THEA) test (formerly the Texas Academic Skills Program [TASP] test), including algebra and geometry. Credit in this course does not fulfill any degree requirement.

MATH 0302 FUNDAMENTALS OF ALGEBRA (3-0) Basic algebraic operations, linear equations and inequalities, polynomials, rational expressions, factoring, exponents and radicals, and quadratic equations. Credit in this course does not fulfill any degree requirement. Prerequisite: MATH THEA score greater than 219.

MATH 1301 TOPICS IN CONTEMPORARY MATHEMATICS (3-0) Intended for Liberal Arts majors. This course will survey real-world applications of mathematics. Topics may include the mathematics of dimensional analysis, population growth, optimization, voting theory, graph theory, networks, probability, statistics, and finance. A graphing calculator is required. Credit may be received for only one of MATH 1301, MATH 1302, or MATH 1315. The Math Aptitude Test (MAT) is required to register for this course. See http://www.uta.edu/math/pages/main/mpt.htm for test details.

MATH 1302 COLLEGE ALGEBRA (3-0) Linear, quadratic and higher order polynomial equations and inequalities solved algebraically, graphically and numerically; graphs and operations on relations and functions; real and complex zeros of polynomials and rational functions; exponential and logarithmic functions; systems of linear equations; matrices. A calculator in the TI-30 series is required for this course. Business majors should enroll in Math 1315. The Math Aptitude Test (MAT) is required to register for this course. See http://www.uta.edu/math/pages/main/mpt.htm for test details.

MATH 1303 TRIGONOMETRY (3-0) Trigonometric functions, radian measure, solution of triangles, graphs of trigonometric functions, trigonometric identities and equations, and complex numbers. This course is not intended for Science majors. The Math Aptitude Test (MAT) is required to register for this course. See http://www.uta.edu/math/pages/main/mpt.htm for test details.

MATH 1308 ELEMENTARY STATISTICAL ANALYSIS (3-0) Descriptive statistics, relationships between variables, interpretation of data and graphs, rudiments of probability, elementary statistical models, hypothesis testing, inference, and estimation. The Math Aptitude Test (MAT) is required to register for this course. See http://www.uta.edu/math/pages/main/mpt.htm for test details.

MATH 1313 LIBERAL ARTS HONORS MATHEMATICS (3-0) Topics include the development of the real number system, different orders of infinity, the idea of convergence and how this led to the development of calculus, the concept of a mathematical proof, the conceptual foundations of topology, networks, and knot theory, and modern applications of mathematics to the sciences.

MATH 1315 COLLEGE ALGEBRA FOR ECONOMICS & BUSINESS ANALYSIS (3-0) Presents material covered in a traditional algebra course but with emphasis toward business applications. Linear equations, systems of linear equations, systems of linear inequalities, elements of matrix algebra and probability. Credit may be received for only one of MATH 1301, MATH 1302, or MATH 1315. The Math Aptitude Test (MAT) is required to register for this course. See http://www.uta.edu/math/pages/main/mpt.htm for test details.

MATH 1316 MATHEMATICS FOR ECONOMICS AND BUSINESS ANALYSIS (3-0) Presents some of the mathematical tools that are useful in the analysis of business and economic problems. Topics are: compound interest, annuities, differential and integral calculus. Prerequisite: C or better in MATH 1315 or MATH 1302.

MATH 1319 FORTRAN PROGRAMMING AND COMPUTER LITERACY (2-2) Computing techniques using the Fortran programming language. Word processing, spreadsheets, e-mail, Internet access, library search. This course will satisfy both the computer programming and computer literacy requirements for math majors. Prerequisite: MATH 1323 or 1426 or concurrent registration.

MATH 1322 PRECALCULUS I (3-0) This is the first semester of a two-semester sequence to prepare students for the study of calculus. An emphasis will be placed on introducing vocabulary, notation, and concepts encountered in calculus. Topics include: a review of fundamental algebra concepts, equations, inequalities, functions, graphs, polynomial functions, rational functions. systems of equations, exponential functions, and logarithmic functions. The Math Aptitude Test (MAT) is required to register for this course. See http://www.uta.edu/math/pages/main/mpt.htm for test details.

MATH 1323 PRECALCULUS II (3-0) This is the second semester of a two semester sequence to prepare students for the study of calculus. An emphasis will be placed on introducing vocabulary, notation and concepts that are basic to the study of first year calculus. Course topics include: right angle trigonometry, unit circle trigonometry, trigonometric identities, trigonometric functions and their graphs, trigonometric equations, and topics from analytic geometry. Prerequisite: C or better in MATH 1322 or the Math Aptitude Test (MAT) is required to register for this course. See http://www.uta.edu/math/pages/main/mpt.htm for test details.

MATH 1324 ALGEBRA AND TRIGONOMETRY (3-0) A fast-paced summary study of the topics of MATH 1302 and 1303. This course is not intended for calculus track students; those students should take MATH 1322 and 1323. Credit cannot be received for MATH 1324 and MATH 1302 or 1303. The Math Aptitude Test (MAT) is required to register for this course. See http://www.uta.edu/math/pages/main/mpt.htm for test details.

MATH 1325 ANALYTIC GEOMETRY (3-0) Vectors, lines in two dimensions, circles, conics, transformation of coordinates, polar coordinates, parametric equations, and the solid analytic geometry of vectors, lines, planes, cylinders, spherical and cylindrical coordinates. The Math Aptitude Test (MAT) is required to register for this course. See http://www.uta.edu/math/pages/main/mpt.htm for test details.

MATH 1327 ARCHITECTURAL CALCULUS (3-0) Topics from Calculus I and II that are pertinent to architecture. Prerequisite: Major or intended major in Architecture and C or better in Math 1325. This course will not substitute for Math 1426.

MATH 1330 ARITHMETICAL PROBLEM SOLVING (3-0) This is a course in small and large group problem solving, with emphasis on reasoning and writing. Topics include problem solving, sets, operations and relations, arithmetic, place value and bases, propositional logic, fractions, number theory, number systems and estimation. Prerequisite: C or better in MATH 1302 and enrollment as an education major.

MATH 1331 GEOMETRICAL INFERENCE AND REASONING (3-0) A discovery-oriented exploration of two-and three-dimensional geometry, with emphasis on reasoning and writing. Topics include constructions, polygons, tessellations, polyhedra, symmetry, rigid motions in the plane, measurement, and discovering theorems. Prerequisite: C or better in MATH 1330 and enrollment as an education major.

MATH 1332 FUNCTIONS, DATA, AND APPLICATIONS (3-0) An exploration of interpreting data, using cooperative groups, spreadsheets and mathematical models. Topics include graphs, applications to economics and natural sciences, function concepts, counting principles, and basic probability and statistics. Prerequisite: C or better in MATH 1330 and enrollment as an education major.

MATH 1421 CONSOLIDATED PRECALCULUS (4-0) A one-semester coverage of the topics of MATH 1322 and MATH 1323. This course is intended for calculus track students who are unable to qualify for MATH 1426 (Calculus I) but are able to address the necessary prerequisites in one semester. Credit cannot be received for MATH 1421 and 1322 or 1323. Permission of a math undergraduate advisor is required.

MATH 1426 CALCULUS I (3-2) Concepts of limit, continuity, differentiation and integration; applications of these concepts. Prerequisite: C or better in MATH 1323 or MATH 1421 or the Math Aptitude Test (MAT) is required to register for this course. See http://www.uta.edu/math/pages/main/mpt.htm for test details.

MATH 2326 CALCULUS III (3-0) Partial differentiation, multiple integrals (with applications), line integrals, Green's Theorem, surface integrals, Stokes' Theorem, divergence theorem. Prerequisite: C or better in MATH 2425 or HONR-SC 2425

MATH 2330 FUNCTIONS AND MODELING (3-0) Students engage in explorations and lab activities designed to strengthen and expand their knowledge of the topics found in secondary mathematics. Students collect data and explore a variety of situations that can be modeled using linear, exponential, polynomial, and trigonometric functions. Activities are designed to have them take a second, deeper look at topics they should have been exposed to previously; illuminate the connections between secondary and college mathematics; illustrate good, as opposed to typically poor, sometimes counterproductive, uses of technology in teaching; illuminate the connections between various areas of matheamtics; and engage them in serious (i.e., non-routine) problem solving, problem-based learning, and applications of mathematics. While there is some discussion of how the content relates to secondary mathematics instruction, the course primarily emphasizes mathematics content knowledge and content connections, as well as applications of the mathematics topics covered. Prerequisite: C or better in MATH 2425 and acceptance into UTeach Arlington.

MATH 2350 MATHEMATICAL MODELING IN ECOLOGY (3-0) An introductory course in modeling techniques in biology with emphasis on construction and interpretation of models in ecology and epidemiology. Computational tools will allow students to work with mathematical models based on difference and differential equations. The goals of this course will include teaching programming skills and illustrating how biological knowledge is used in this computational approach. Offered as BIOL 2350 and MATH 2350. Credit will be granted only once. Prerequisite: C or better in BIOL 1441 and MATH 1426 or HONR-SC 1426.

MATH 2425 CALCULUS II (3-2) Applications of integration, techniques of integration, parametric equations, polar coordinates, sequences, series vectors, dot product, cross product, planes and quadric surfaces. Prerequisite: C or better in MATH 1426 or HONR-SC 1426.

MATH 3300 INTRODUCTION TO PROOFS (3-0) Techniques for constructing proofs for various propositions. The propositions chosen exhibit properties of functions, relations, sets, cardinality, and other ideas in mathematics. An axiomatic approach to some areas in mathematics. Oral presentations of proofs are required. Prerequisite: Math major or math intended major. B or better in MATH 1426 or HONR-SC 1426; OR C or better in MATH 2425 or HONR-SC 2425.

MATH 3301 FOUNDATIONS OF GEOMETRY (3-0) A development of the foundations of geometry. Prerequisite: C or better in MATH 2425 or HONR-SC 2425.

MATH 3302 MULTIVARIATE STATISTICAL METHODS (3-0) Topics in multivariate data analysis with applications in various areas of interest, including multiple regression, analysis of experimental designs, covariate adjustment, non-linear regression and the use of standard multivariate statistical packages. Prerequisite: C or better in MATH 3316 or STATS 3316 or MATH 3351 or BIOL 3351 or consent of the instructor.

MATH 3303 MATHEMATICAL GAME THEORY (3-0) Two-person zero-sum games, solving matrix games by linear programming, two-person non-zero sum games, noncooperative n-person games, Nash equilibrium points and refinements, cooperative n-person games, core, Shapley value, and other concepts of solution. Applications to cost allocation, fair division, and voting power. Prerequisite: C or better in MATH 3330 or MATH 3319, or consent of the instructor.

MATH 3304 LINEAR OPTIMIZATION APPLICATIONS (3-0) An introduction to basic methods of optimization with applications to optimal resource application, minimal cost allocation and interpersonal decision making in noncooperative and cooperative environments. Includes simplex method, duality, zero sum games, transportation and assignment. Prerequisite: C or better in MATH 3330 or MATH 3319.

MATH 3307 ELEMENTARY NUMBER THEORY (3-0) Various topics in elementary number theory. Divisibility, congruences, quadratic reciprocity, and multiplicative functions. Prerequisite: 2.0 or better in nine hours of college mathematics.

MATH 3313 INTRODUCTION TO PROBABILITY (3-0) Basic concepts in probability, random variables, probability distributions, functions of random variables, moment generating functions, central limit theorem and its role in statistics, joint probability functions and joint probability density functions, joint cumulative distribution functions, conditional and marginal probability distributions, covariance and correlation coefficients, transformation and order statistics. Prerequisite: C or better in MATH 2326.

MATH 3314 DISCRETE MATHEMATICS (3-0) An introduction into discrete structures. Propositional calculus, sets and operations, functions, induction, counting, relations and matrices, equivalences and partial orders, graphs and shortest path algorithms, trees and minimal spanning trees, tree traversal, elements of boolean algebra. Prerequisite: C or better in MATH 1426 or HONR-SC 1426.

MATH 3315 MATHEMATICAL MODELS (3-0) Methods for solving, by means of mathematics, problems which occur in other disciplines such as physics, engineering, biology, and economics. Basic mathematical tools are chosen from areas such as optimization, probability, differential equations, and computer-oriented mathematics. Problems arising in other disciplines or industrial applications are emphasized. Subject matter will depend on the instructor. Prerequisite: C or better in MATH 2326, or permission of instructor.

MATH 3316 STATISTICAL INFERENCE (3-0) A comprehensive study of basic statistical methods. Topics include descriptive statistics, numeracy, report writing, basic probability, experimental design and analysis. Prerequisite: C or better in 6 hours from the following: MATH 1302, 1308, 1322, 1323, 1330, 1331, 1332, 1421,1426, 2425, 2326, 3300, 3307, 3314, 3319, or 3330; HONR-SC 1426, 2425.

MATH 3318 DIFFERENTIAL EQUATIONS (3-0) Ordinary differential equations with emphasis on the solutions and analysis of first and higher order differential equations drawn from fields of physics, chemistry, geometry, and engineering. Prerequisite: C or better in MATH 2326 or concurrent registration.

MATH 3319 DIFFERENTIAL EQUATIONS & LINEAR ALGEBRA (3-0) Introductory course with emphasis on solution techniques. Ordinary differential equations, vector spaces, linear transformations, matrix/vector algebra, eigenvectors, Laplace Transform, and systems of equations. Math majors will not receive credit for this course. Prerequisite: C or better in MATH 2326 or concurrent enrollment.

MATH 3321 ABSTRACT ALGEBRA I (3-0) Groups including Lagrange's Theorem, Cauchy's Theorem, the homomorphism theorems, and symmetric groups. Prerequisite: C or better in MATH 3300 and MATH 3330.

MATH 3330 INTRODUCTION TO MATRICES AND LINEAR ALGEBRA (3-0) Solving systems of linear equations, matrix operations, determinants, vector spaces, linear transformation, orthogonality, Gram-Schmidt process, projections, and eigenvalues and eigenvectors. Prerequisite: C or better in MATH 1426 or HONR-SC 1426. MATH 2425 is strongly encouraged.

MATH 3335 ANALYSIS I (3-0) Real numbers, sequences, series, limits of functions, continuity. Prerequisite: Grade of C or better in both MATH 2326 and MATH 3300.

MATH 3345 NUMERICAL ANALYSIS AND COMPUTER APPLICATIONS (3-0) Numerical solutions of nonlinear equations, numerical integration and differentiation, polynomial interpolation, solutions of linear systems, and an introduction to spline functions. C or better in MATH 2326, and C or better in one of MATH 3330 or MATH 3319.

MATH 3350 DYNAMICAL SYSTEMS IN BIOLOGY (3-0) An introductory course in the existence and properties of solutions of differential and difference equations, qualitative analysis methods, and numerical solutions of differential equations using finite-difference methods. Offered as BIOL 3350 and MATH 3350: credit will be granted only once. Prerequisite: C or better in BIOL/MATH 2350 or consent of the instructor.

MATH 3351 PROBABILITY AND RANDOM PROCESSES IN BIOLOGY (3-0) Introduction to random processes arising in biological modeling. Topics include introduction to probability, Poisson processes, birth-death processes, Markov chains, and Markov processes. Course taught as BIOL 3351 and MATH 3351; credit will be granted only once. Prerequisite: C or better in BIOL 3350 or MATH 3350 or consent of the instructor.

MATH 4150 SEMINAR IN MATHEMATICAL BIOLOGY (1-0) Formulation and definition of interdisciplinary research problems in Mathematical Biology, the formulation and execution of strategies of solution, and the presentation of results. Research under faculty supervision and mentorship involving collaboration within a small group. Prerequisite: Consent of the instructor.

MATH 4180 ORAL COMMUNICATION OF MATHEMATICS (1-0) This course trains students in giving effective oral presentations of mathematics and topics involving mathematics. Students will give presentations to the class and evaluate the presentations of their classmates. Topics may be chosen from mathematics and science journals at a level suitable for undergraduates, from books and articles on the history and development of mathematics, or from previous course material.

MATH 4191 SPECIAL TOPICS IN MATHEMATICS (1-0) Special topics in mathematics are assigned to individuals or small groups. Faculty members closely supervise the projects and assign library reference material. Small groups will hold seminars at suitable intervals. May be repeated for credit. Prerequisite: senior standing and written permission of the instructor & department chair.

MATH 4291 SPECIAL TOPICS IN MATHEMATICS (2-0) Special topics in mathematics are assigned to individuals or small groups. Faculty members closely supervise the projects and assign library reference material. Small groups will hold seminars at suitable intervals. May be repeated for credit. Prerequisite: senior standing and written permission of the instructor & department chair.

MATH 4303 INTRODUCTION TO TOPOLOGY (3-0) A first course in topology from the axiomatic point of view. Prerequisite: C or better in MATH 3335.

MATH 4311 STOCHASTIC MODELS AND SIMULATION (3-0) A study of processes, whose outcomes are governed by chance, through a combination of lectures and computer lab sessions. Experiments include random number generation, coin tossing and other games of chance, random walks, Markov Chains, Poisson processes, birth-death processes, branching processes, and Brownian Motion. A foundation for modeling random phenomena in sciences, engineering and business. Prerequisite: C or better in MATH 2326 and knowledge of basic probability (MATH/STATS 3313 or MATH/BIOL 3351 or equivalent), or consent of instructor

MATH 4312 PROBABILITY (3-0) Basic probability theory, random variables, expectation, probability models, generating functions, transformations of random variables, limit theory. Prerequisite: C or better in MATH/STATS 3313.

MATH 4313 APPLICATIONS OF MATHEMATICAL STATISTICS (3-0) A continuation of MATH 3313. Sampling distributions, estimation of parameters, confidence intervals, testing of hypotheses, linear regression, linear time series models, moving average, autoregressive and/or autoregressive integrated moving average (ARIMA) models, estimation, data analysis and forecasting with time series models and forecast errors and confidence intervals. Prerequisite: C or better in MATH 3313 or STATS 3313.

MATH 4314 ADVANCED DISCRETE MATHEMATICS (3-0) Finite automata, Turing machines, formal languages, graph theory, combinatorial optimization, complexity of algorithms, P versus NP, and decidable versus undecidable problems. Prerequisite: C or better in MATH 3314.

MATH 4318 MATHEMATICAL METHODS FOR SCIENCES (3-0) Infinite series: complex variables; determinants; matrices; tensor analysis; Fourier analysis; differential equations; special functions. Prerequisite: C or better in MATH 3318 or MATH 3319 and eight hours in the discipline of appropriate department.

MATH 4320 ADVANCED DIFFERENTIAL EQUATIONS (3-0) The existence and properties of solution of differential equations. Prerequisite: C or better in MATH 3318 or 3319.

MATH 4321 ABSTRACT ALGEBRA II (3-0) Rings and field theory, including polynomial rings and field extensions. Prerequisite: C or better in MATH 3321.

MATH 4322 INTRODUCTION TO COMPLEX VARIABLES (3-0) An introduction to the theory of functions of a complex variable and also an introduction to applications including uses of the residue theory, contour integration and conformal mapping. Prerequisite: C or better in MATH 2326.

MATH 4324 INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS (3-0) Methods of solutions of selected elliptic, parabolic, and hyperbolic partial differential equations with reference to physical applications. Prerequisite: C or better in MATH 3318 or MATH 3319.

MATH 4334 ADVANCED MULTIVARIABLE CALCULUS (3-0) The properties of continuous mappings from N-dimensional Euclidean space to M-dimensional Euclidean space; an introduction to differential forms and vector calculus, based upon line integrals, surface integrals, and the general Stokes theorem. Prerequisite: C or better in MATH 3335.

MATH 4335 ANALYSIS II (3-0) Differentiation, integration, and selected topics in sequences and series of functions and metric spaces. Prerequisite: C or better in MATH 3335.

MATH 4345 NUMERICAL ANALYSIS & COMPUTER APPLICATIONS II (3-0) Numerical solutions for ordinary differential equations, boundary value problems, minimizations of multivariate functions, and methods of least squares. Prerequisite: C or better in MATH 3345.

MATH 4350 PRECALCULUS FOR MID-LEVEL MATHEMATICS TEACHERS (3-0) This course serves to bridge the gap between algebra and calculus for middle level teachers. It will develop a firm understanding of the concept of function, how to graphically represent various functions, analyze their behavior and create new functions from old. Functions will be used to model real-life situations. The course will focus on the essential elements of precalculus, as given by the TEKS. It will develop the foundations for functions and explore functions as a unifying theme. This includes transformations, inverses, and solving equations. These foundational ideas will be explored and applied to specific functions, including exponential, logarithmic, power, polynomial, rational, and trigonometric functions. There will be an emphasis on multiple representations of mathematical ideas: verbal, concrete, pictorial, tabular, symbolic and graphical. Throughout, the mathematical connections between precalculus and school mathematics will be highlighted. Prerequisite: C or better in MATH 1302,1308, 1330, 1331 and 1332 This course does not count toward a degree in mathematics.

MATH 4351 CALCULUS FOR MID-LEVEL MATHEMATICS TEACHERS (3-0) This course serves to introduce the basic concepts of calculus to middle level teachers. The primary goal is to help teachers develop a fundamental understanding of the key mathematical ideas in calculus in order to broaden their mathematical perspective and gain insight into the topics in the middle level curriculum which are related and foundational to its development. Participants will develop conceptual knowledge of the processes of differentiation and integration, and understanding of their applications and an understanding of the relationship between the two processes. Prerequisite: C or better in MATH 4350. This course does not count toward a degree in mathematics.

MATH 4381 MATHEMATICS RESEARCH (3-0) Formulation and definition of research problems, the formulation and execution of strategies of solution, and the presentation of results. Prerequisite: consent of instructor. Recommendation by other faculty encouraged.

MATH 4391 SPECIAL TOPICS IN MATHEMATICS (3-0) Special topics in mathematics are assigned to individuals or small groups. Faculty members closely supervise the projects and assign library reference material. Small groups will hold seminars at suitable intervals. May be repeated for credit. Prerequisite: senior standing and written permission of the instructor & department chair.

MATH 4392 ADVANCED TOPICS IN MATHEMATICS (3-0) Varies from semester to semester. New developments in mathematics, in-depth study of a topic not covered in other courses, or a special faculty expertise made available to undergraduates. May be repeated for credit as topic varies. Prerequisite: permission of instructor.

MATH 4393 HONORS THESIS/SENIOR PROJECT (3-0) Required of all students in the University Honors College. During the senior year the student must complete a thesis or a project under the direction of a faculty member in the math department. Prerequisite: enrollment in the University Honors College and written permission of the instructor and chair.

MATH 4394 UNDERGRADUATE RESEARCH EXPERIENCES (3-0) Research under faculty supervision and mentorship involving collaboration within a small group. The topic varies from semester to semester, is determined by the faculty teaching the course, and is announced in advance. The course promotes active learning based on inquiry, development of higher-order thinking skills, and meaningful scientific research. Prerequisite: consent of instructor.

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