2004 - 2006 Undergraduate Catalog
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Mathematical Sciences Course Descriptions

MATH 1300 Computerized College Algebra with Applications (3 semester hours) This computer based course is intended for students NOT continuing on to precalculus or calculus. Topics chosen from areas such as operations with fractions, exponents, inequalities, linear equations and graphs, use of algebra to model a variety of problems encountered in ordinary life. Cannot be used to satisfy major requirements for majors in the Schools of Natural Sciences and Mathematics or Management, or degree requirements for the School of Engineering and Computer Science. Credit given for only one of MATH 1300, 1306, or 1314. Prerequisite: High School Algebra II. (3-0) S
MATH 1306 College Algebra for the Non-Scientist (3 semester hours) This course is intended for students NOT continuing on to precalculus or calculus. The course is designed to develop both abstract thinking and a practical approach to problem solving. The emphasis is on understanding rather than purely computational skills. Topics include logic, sets, the real numbers, linear equations and their applications, functions, and graphs. Cannot be used to satisfy major requirements for majors in the Schools of Natural Sciences and Mathematics or Management, or degree requirements for the School of Engineering and Computer Science. Credit given for only one of MATH 1300, 1306 or 1314. Prerequisite: High School Algebra II. (3-0) Y
MATH 1314 College Algebra (3 semester hours) Topics chosen from areas such as equations and inequalities, rational expressions, exponents, radicals and logarithms, functions, and graphs. Cannot be used to satisfy major requirements for majors in the Schools of Natural Sciences and Mathematics or Management, or degree requirements for the School of Engineering and Computer Science. Credit given for only one of MATH 1300, 1306, or 1314. Prerequisite: High School Algebra II. (3-0) S
MATH 1325 Applied Calculus I (3 semester hours) Functions and graphs, differentiation, maxima and minima, exponential and logarithmic functions, integration, applications of integrals. Cannot be used to satisfy degree requirements or majors in the School of Engineering and Computer Science or major requirements in the School of Natural Sciences and Mathematics. Credit given for only one of MATH 1325 or 2417. Prerequisite: A SAT II Mathematics Level IC Test score of at least 480 or a grade of at least C- in MATH 1314 or an equivalent course. (3-0) S
MATH 1326 Applied Calculus II (3 semester hours) Applications of differential equations, functions of several variables, least squares modeling, multiple integrals, infinite series. Cannot be used to satisfy degree requirements for B.S. majors in Schools of Engineering and Computer Science or Natural Sciences and Mathematics. Credit given for only one of MATH 1326 or 2419. Prerequisite: A score of at least 4 on the Advanced Placement Calculus AB exam, a score of at least 3 on the Advanced Placement Calculus BC exam, or MATH 1325. (3-0) S
MATH 2312 Precalculus (3 semester hours) Trigonometric functions, rational functions, exponential and logarithmic functions and their graphs, analytic geometry, polynomial equations, and linear system of equations will be covered. Cannot be used to satisfy degree requirements for majors in the School of Engineering and Computer Science, or major requirements for the Schools of Management or Natural Sciences and Mathematics. Prerequisite: A SAT II Mathematics Level IC Test score of 480 or a grade of at least a C- in MATH 1314 or an equivalent course. (3-0) S
MATH 2333 Matrices, Vectors, and Their Application (3 semester hours) Matrices, vectors, determinants, inverses, systems of linear equations, and applications. Cannot be used to satisfy degree requirements for majors in the School of Engineering and Computer Science, or major requirements in the School of Natural Sciences and Mathematics. Credit given for only one of MATH 2333 or 2418. Prerequisite: MATH 1314 or equivalent. (3-0) S
MATH 2417 Calculus I (4 semester hours ) Functions, limits, continuity, differentiation; integration of function of one variable; logarithmic, exponential, and inverse trigonometric functions; techniques of integration, and applications. Three lecture hours and two discussion hours a week. Prerequisite: A SAT II Mathematics Level IC Test score of 560630, a Level II Test score of 530630, or a grade of at least C- in MATH 2312 or an equivalent course. (4-0) S
MATH 2418 Linear Algebra (4 semester hours) Systems of linear equations, determinants, vectors and vector spaces, linear transformations, eigenvalues and eigenvectors, quadratic forms. Three lecture hours and two discussion hours per week. Credit given for only one of MATH 2333 or 2418. Prerequisite: MATH 2419 or consent of instructor. (4-0) S
MATH 2419 Calculus II (4 semester hours) Continuation of MATH 2417. Improper integrals, sequences, infinite series, power series, parametric equations and polar coordinates, vectors, vector valued functions, functions of several variables, partial derivatives and applications, multiple integration. Three lecture hours and two discussion hours a week. Prerequisite: A score of at least 4 on the Advanced Placement Calculus BC exam or MATH 2417. (4-0) S
MATH 2420 Differential Equations with Applications (4 semester hours) Topics covered will be drawn from the following list: First order differential equations, ordinary differential equations, system of linear differential equations, stability, series solutions, special functions, Sturm Liouville problem, Laplace transforms and linear differential equations, numerical solutions and applications in physical sciences and engineering using computers. Three lecture hours and two discussion hours per week. Prerequisite: MATH 2419. (4-0) S
MATH 2451 Multivariable Calculus with Applications (4 semester hours) Vectors, matrices, vector functions, partial derivatives, divergence, curl, Laplacian, multiple integrals, line and surface integrals, Green’s, Stoke’s, and Gauss’s theorems, and applications in physical sciences and engineering. Three lecture hours and two discussion hours per week. Prerequisite: MATH 2419. (4-0) S
MATH 2V90 Topics in Mathematics (1-6 semester hours) Special topics in mathematics outside the normal course of offerings. May be repeated for credit as topics vary (9 hours maximum). Consent of instructor required. ([1-6] 0) S
MATH 3301 Mathematics for Elementary and Middle School Teachers (3 semester hours) This course is intended to develop future teachers' depth of mathematical understanding by examining concepts in school mathematics from an advanced perspective. Topics include: numeration systems; arithmetic algorithms, prime factorization and other properties of the integers; proportional reasoning involving fractions and decimals; counting methods; and basic ideas of geometry and measurement. Problem solving is stressed. Cannot be used to satisfy: [1] undergraduate mathematics core requirement, [2] degree requirements by students in Mathematical Sciences, [3] the advanced mathematics electives sequence by non-majors, or [4] certification requirements in 8-12 mathematics. Prerequisite: MATH 1306 or MATH 1314 or equivalent course. (3-0) S
MATH 3303 Introduction to Mathematical Modeling (3 semester hours) An introduction to construction, use, and analysis of empirical and analytical mathematical models. Emphasis on using appropriate technology with tools such as curve fitting, probability and simulation, difference and differential equations, and dimensional analysis. Cannot be used to satisfy mathematics requirements by students in Mathematical Sciences and cannot be used to satisfy the advanced mathematics electives sequence by non-majors. Prerequisites: MATH 2419 and 2418. (3-0) Y
MATH 3305 Foundations of Measurement and Informal Geometry (3 semester hours) An analysis, from an advanced perspective, of the basic concepts and methods of geometry and measurement. Topics include visualization, geometric figures and their properties; transformations and symmetry; congruence and similarity; coordinate systems; measurement [especially length, area, and volume]; and geometry as an axiomatic system. Emphasis on problem solving and logical reasoning. Cannot be used to satisfy: [1] undergraduate mathematics core requirement, [2] degree requirements by students in Mathematical Sciences, [3] the advanced mathematics electives sequence by non-majors, or [4] certification requirements in 8-12 mathematics. Prerequisite: MATH 1312, MATH 3301 or equivalent course. (3-0) Y
MATH 3307 Mathematical Problem Solving for Teachers (3 semester hours) Development of the ability to solve mathematical problems and communicate their solutions throught the study of strategies and heuristics. Practice in solving problems involving ideas from number theory, algebra, combinatorics and probability, etc. Communicating mathematics, logical reasoning, and connections between mathematical topics will be emphasized. Cannot be used to satisfy degree requirements by students in Mathematical Sciences or the advanced mathematics electives sequence by non-majors. Prerequisites: MATH 2312 and MATH 3305 or MATH 3321. (3-0) Y

MATH 3310 Theoretical Concepts of Calculus (3 semester hours) Mathematical theory of calculus. Limits, types of convergence, power series, differentiation, and Riemann integration. Prerequisite: MATH 2419. (3-0) Y
MATH 3311 Abstract Algebra I (3 semester hours) Groups, rings, fields, vector spaces modules, linear transformations, and Galois Theory. Prerequisite: MATH 2419. (3-0) Y
MATH 3312 Abstract Algebra II (3 semester hours) Continuation of Math 3311. Prerequisite: MATH 3311. (3-0) Y
MATH 3321 Geometry (3 semester hours) Elements of Euclidean, non-Euclidean, and projective geometry. Topics covered will be drawn from the following list: triangles and their distinguishing points, Euler line, nine point circle, extremum problems, circles and spheres, inversions, the circles of Apollonius, projective geometry, axioms of the projective plane, Desargues’s theorem, conics, elementary facts of the non Euclidean geometries. Prerequisite: MATH 2419. (3-0) Y
MATH 3379 Complex Variables (3 semester hours) Geometry and algebra of complex numbers, functions of a complex variable, power series, integration, calculus of residues, conformal mapping. Prerequisites: MATH 2451 and 3310. (3-0) Y
MATH 4301 Mathematical Analysis I (3 semester hours) Sets, real number system, metric spaces, real functions of several variables. Riemann Stieltjes integration and other selected topics. Prerequisites: MATH 2451 and 3310. (3-0) Y
MATH 4302 Mathematical Analysis II (3 semester hours) Continuation of Math 4301. Prerequisite: MATH 4301. (3-0) Y
MATH 4332 Scientific Math Computing (3 semester hours) Topics covered include introduction to Unix shells, basic and advanced use of Matlab for mathematical and scientific problem solving. Course is conducted in a computer classroom and assignments include applications in numerical and statistical analysis, image processing, and signal processing. Prerequisites: MATH 2418 and MATH 2419 or equivalent. (3-0) S
MATH 4334 Numerical Analysis (3 semester hours) Solution of linear equations, roots of polynomial equations, interpolation and approximation, numerical differentiation and integration, solution of ordinary differential equations; computer arithmetic and error analysis. Prerequisites: MATH 2418, 2451, and CS 1337 or equivalent knowledge of a high level programming language. (Same as CS 4334) (3-0) Y
MATH 4341 Topology (3 semester hours) Elements of general topology, topological spaces, continuous functions, connectedness, compactness, completeness, separation axioms, and metric spaces. Prerequisites: MATH 2451 and 3310. (3-0) Y
MATH 4355 Methods of Applied Mathematics (3 semester hours) Topics include some frequently used tools in applied mathematics: Laplace and Fourier transforms, special functions, systems, signals, and their applications in physical sciences and engineering. Prerequisites: MATH 2418 and 2420. (3-0) T
MATH 4362 Partial Differential Equations (3 semester hours) This course presents a survey of classical and numerical methods for the solution of linear and nonlinear boundary value problems governed by partial differential equations. Modeling and application related issues are included throughout. Prerequisites: MATH 2420, 2451, and knowledge of a high level programming language. (3-0) T
MATH 4398 Senior Honors in Mathematical Sciences (3 semester hours) For students conducting independent research for honors theses or projects. (3-0) S
MATH 4V03 Independent Study in Mathematics (1-6 semester hours) Independent study under a faculty member’s direction. Student must obtain approval from participating math sciences faculty member and the undergraduate advisor. Can satisfy Communication elective (3 horus) if it has a major writing/report compnent. ([1-6] 0) S
MATH 4V91 Undergraduate Topics in Mathematics (1-9 semester hours) Subject matter will vary from semester to semester. May be repeated for credit (9 hours maximum). ([1-9] 0) S

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The University of Texas at Dallas is committed to an educational and working environment that provides equal opportunity to all members of the University community. In accordance with federal and state law, the University prohibits unlawful discrimination on the basis of race, color, religion, national origin, gender, age, disability, and veteran status. Discrimination on the basis of sexual orientation is also prohibited pursuant to University policy.