** 1300 Pre-College Algebra.** (1-3) A course to remediate and review basic academic skills in mathematics, including number concepts, computation, elementary algebra, geometry and mathematical reasoning. Math 1300 will not constitute a part of the hours required for a bachelor's degree.

** 1311 Basic Mathematics.** (1-3) A preparatory course for college algebra. Topics include linear equations and inequalities, rational expressions, exponents and radicals, quadratics and word problems. This course is designed for students who have graduated from high school with no more than the minimum mathematics requirements or for students who have been away from mathematics for a number of years. Prerequisite: Math 1300 with a grade of "CR", Mathematics ACT score of at least 15 (SAT 320 or SAT re-centered 400), or a mathematics placement score of at least 14. Math 1311 will not constitute a part of the hours required for a baccalaureate degree.

** 1315 (Math 1314) College Algebra.** (3-0) A course covering linear and quadratic equations, inequalities, word problems, functions, logarithms, systems of equations and other college algebra topics as time permits. Prerequisite: Mathematics ACT score of at least 21 (SAT 435 or SAT re-centered 480), a mathematics placement score of at least 26, or MATH 1311 with a grade of "C" or higher or "CR".

** 1316 A Survey of Contemporary Mathematics.** (3-0) A study of the uses of mathematics in society today. Emphasis is on concepts rather than technical details. May not be used as a prerequisite for any other mathematics course. Prerequisite: Mathematics ACT score of at least 21 (SAT 435 or SAT re-centered 480), a mathematics placement score of at least 26, or Math 1311 with a grade of "C" or higher or "CR".

** 1317 (Math 1316) Plane Trigonometry.** (3-0) A course covering trigonometric functions, right triangles, radian measure, graphs of trigonometric functions, trigonometric identities, including multiple and half-angle identities, inverse trigonometric functions, trigonometric equations, oblique triangles, and complex numbers. Prerequisite: Math 1315 with a grade of "C" or higher.

** 1319 (Math 1324) Mathematics for Business and Economics I.** (3-0) Topics from college algebra and finite mathematics which apply to business and economics including applications of equations and inequalities, simple and compound interest and annuities. Prerequisite: Mathematics ACT score of at least 21 (SAT 435 or SAT re-centered 480), a mathematics placement score of at least 26, or Math 1311 with a grade of "C" or higher or "CR".

** 1329 (Math 1325) Mathematics for Business and Economics II.** (3-0) Topics from finite mathematics and elementary differential calculus which apply to business and economics. Prerequisite: Math 1315 or 1319 with a grade of "C" or higher.

** 2311 (Math 1350) Principles of Mathematics I.** (3-0) Logical deductive reasoning, number theory, a rational development of the real numbers with the associated number structures and algorithms for the fundamental operations, including historical, philosophical and cultural significance. Prerequisite: Math 1315 with a grade of "C" or higher.

** 2312 (Math 1351) Informal Geometry.** (3-0) Geometric measuring. Euclidean Geometry, and topics associated with informal geometry, including historical, philosophical, and cultural significance. Prerequisite: Math 2311 with a grade of "C" or higher.

** 2321 (Math 2313) Calculus for Life Sciences I.** (3-0) This course is designed to serve the needs of students in the life sciences. Topics will include: graphs, derivatives, exponents and logarithms, scientific notation, sequences, summation, and applications. Prerequisite: Mathematics ACT score of at least 24 (SAT 500 or SAT re-centered 520) or Math 1315 with a grade of "C" or higher.

** 2328 (Math 2342) Elementary Statistics.** (3-0) Algebra-based introduction to descriptive statistics, random sampling, design of experiments, probability and the Central Limit Theorem. Inferential statistics topics include the foundational concepts for confidence intervals and hypothesis testing for simple experiments. Prerequisite: Math 1315 with a grade of "C" or higher.

** 2331 Calculus for Life Science II.** (3-0) Extension of Math 2321. Topics will include: trigonometric functions, probability, integral calculus, differential equations, and applications. Prerequisite: Math 2321 with a grade of "C" or higher.

** 2358 (Math 2305) Discrete Mathematics I.** (3-0) A study of discrete mathematical structures that are commonly encountered in computing hardware and software. Prerequisite: Math 1315 with a grade of "C" or higher.

** 2417 (Math 2412) Pre-Calculus Mathematics.** (3-2) A survey of functions, trigonometry and analytic geometry to prepare students for calculus. Prerequisite: Mathematics ACT score of at least 24 (SAT 500 or SAT re-centered 520) or Math 1315 with a grade of "C" or higher.

** 2471 (Math 2413) Calculus I.** (3-2) A first course in differential and integral calculus which stresses limits as well as the applications of calculus to the problems of science. Prerequisite: Mathematics ACT score of at least 27 (SAT 580 or SAT re-centered 580) or Math 2363 or 2417 with a grade of "C" or higher.

** 2472 (Math 2414) Calculus II.** (3-2) A continuation of differential and integral calculus including methods of integration, sequences and series, and introduction to partial derivatives. Prerequisite: Math 2471 with a grade of "C" or higher.

** 3305 Introduction to Probability and Statistics.** (3-0) Basic probability models, generating functions and conditional probability, also discrete and continuous, univariate and bivariate distributions of random variables. Concepts of estimation, tests of hypothesis and statistical inference. Prerequisite: Math 2472 with a grade of "C" or higher.

** 3315 Modern Geometry.** (3-0) Modern geometry with an emphasis on the triangle, circle, plane and Euclidian geometry, an historical aspects will be integrated into the course. May not be applied toward a minor in mathematics. Prerequisites: Math 2321 or 2471 with a grade of "C" or higher.

** 3323 Differential Equations.** (3-0) A course covering solutions to the more common types of ordinary differential equations, especially those of first and second order, with emphasis on geometrical and physical interpretations. Prerequisite: Math 2472 with a grade of "C" or higher.

** 3325 Number Systems.** (3-0) Algebraic construction of the natural numbers. Covers the basic vocabulary and proof techniques of abstract algebra, and the structural properties of the natural numbers, integers, rational, real and complex number systems. Prerequisite or Co- requisite: Math 2471.

** 3330 Introduction to Advanced Mathematics.** (3-0) An introduction to the theory of sets, relations, functions, finite and infinite sets, and other selected topics. Algebraic structure and topological properties of Euclidean Space, and an introduction to metric spaces. Prerequisite: Math 2472 with a grade of "C" or higher.

** 3348 Deterministic Operations Research.** (3-0) This course provides a broad view of deterministic operations research techniques. Topics include dynamic programming, linear and integer programming, deterministic inventory models, and sequencing problems. Prerequisite: Math 2472 with a grade of "C" or higher.

** 3373 Calculus III.** (3-0) A course covering sequences and series, vectors, functions of several variables, partial derivatives, multiple integrals, line and surface integrals, and applications. Prerequisite: Math 2472 with a grade of "C" or higher.

** 3375 Engineering Mechanics.** (3-0) A course covering statistics, using a vector approach to mechanics. The course is designed to satisfy the requirements of engineering Colleges. Prerequisite: PHYS 1430. Prerequisite or Co-requisite: Math 2472.

** 3377 Linear Algebra.** (3-0) An introductory course in linear algebra covering vector spaces, linear transformation, matrices, systems of linear equations, and inner product spaces. Prerequisite: Math 2472 with a grade of "C" or higher.

** 3380 Analysis I.** (3-0) A course covering the introduction to the theory of real functions. Topics include limits, continuity and derivatives and associated topics. Prerequisite: MATH 3330 with a grade of "C" or higher.

** 3398 Discrete Mathematics II.** (3-0) A continuation of discrete Mathematics I. Prerequisite: Math 2358 with a grade of "C" or higher.

** 4302 Principles of Mathematics II.** (3-0) Topics such as modeling, measurement, statistics, probability, geometry and algebra concepts will be integrated with sound middle school pedagogical practices such as inquiry learning, use of manipulatives, problem-based learning, calculator use, co-operative learning, and peer presentations. Prerequisite: MATH 2312 with a grade of "C" or higher.

** 4304 Math Understandings.** (3-0) Basic concepts underlying algebra, geometry, trigonometry, and calculus taught from an advanced standpoint, including historical, philosophical, and cultural significance. May not be applied toward a minor in mathematics. Must be taken before student teaching. Prerequisite: Math 3315 and 2331 or 2472 with grades of "C" or higher.

** 4305 Probability and Statistics.** (3-0) A course covering sample spaces, probability of events, binomial and multinomial distributions, random variables, normal approximations, statistical inference, and applications. Prerequisite: Math 3305 with a grade of "C" or higher.

** 4306 Fourier Series and Boundary Value Problems.** (3-0) Advanced solution methods for differential equations; partial differential equations; series approximations, Fourier series; boundary value problems typical of scientific applications. Prerequisite: Math 3323 with a grade of "C" or higher.

** 4307 Modern Algebra.** (3-0) A course covering elementary set theory, structures, functions, and concepts of modern algebra. Prerequisites: Math 3330 with a grade of "C" or higher and Math 3325 or 3377 with a grade of "C" or higher.

** 4311 Introduction to the History of Mathematics.** (WI) (3-0) A survey of the development of major mathematical topics, including geometry, algebra, calculus, and advanced mathematics. Philosophical and cultural aspects will be integrated with the structure, theorems, and applications of mathematics. May not be applied toward a minor in mathematics. Prerequisite: Math 3315 with a grade of "C" or higher and Math 2331 or 2472 with a grade of "C" or higher.

** 4315 Analysis II.** (3-0) A continuation of Math 3380. Topics include integration, series and sequences of functions and associated topics. Prerequisite: Math 3380 with a grade of "C" or higher.

** 4330 General Topology.** (3-0) Topics include introductory treatment of convergence, continuity, compactness, connectedness and fixed points in topological spaces with special emphasis on metric spaces. Prerequisite: Math 3330 or 3380 with a grade of "C" or higher.

** 4336 Studies in Applied Mathematics.** (3-0) Selected topics including Laplace transforms, complex variables, advanced calculus for applications, calculus of variations, integral equations, intermediate differential equations, vector analysis, etc. May be repeated once for credit with a different topic. Prerequisite: Consent of instructor.

** 4382 The Literature and Modern History of Mathematics and Its Applications.** (WI) (3-0) This course will focus on mathematical articles in recent journals. The articles will be re- written so that the proofs and comments are more easily understood by the casual reader. This embellishment of journal articles will take place in class with the class participating, in groups for outside work and as individual assignments. May not be applied toward a minor in mathematics. Prerequisites: A grade of "C" or higher in two of these three: Math 3380, 4307, or 4330.

**Note:** This page is a copy the catalog as of October 26, 2006. Please consult the official course description at the Univeristy web page http://www.txstate.edu/academicaffairs/CATALOG/catalogindex.html.