**MATH 1300. Elementary Algebra.**

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.

**MATH 1311. Intermediate Algebra.**

A preparatory course for collegealgebra. Topics include linear equations and inequalities,rational expressions, exponents and radicals, quadraticsand word problems. This course is designed for studentswho have graduated from high school with no more thanthe minimum mathematics requirements or for studentswho have been away from mathematics for a number ofyears. Prerequisite: MATH 1300 with a grade of CR, ACTMathematics score of 15 or more, SAT Mathematics score of400 or more, Accuplacer College Mathematics score of 40 ormore, or Compass Algebra score of 35 or more.

**MATH 1312. College Statistics and Algebra.**

(MATH 1342) A course covering linear and quadratic equations, inequalities, functions and their graphs, logarithms, systems of equations, and applications of mathematics. Special emphasis on statistical concepts including linear and quadratic regression, distributions confidence intervals, & hypothesis testing. This course is not intended to substitute for MATH 1315 as a prerequisite. Prerequisite: College Readiness in Mathematics according to the TSI regulations.

**MATH 1315. College Algebra.**

(MATH 1314) A course covering linear and quadratic equations, inequalities, word problems, functions, logarithms, systems of equations and other collegealgebra topics as time permits. Prerequisite: College Readiness in Mathematics according to the TSI regulations.

**MATH 1316. Survey of Contemporary Mathematics.**

(MATH 1332) A study of the uses of mathematics in society today. Emphasis is onconcepts rather than technical details. May not be used as a prerequisite for any other mathematics course. Prerequisite: College Readiness in Mathematics according to TSI regulations.

**MATH 1317. Plane Trigonometry**

(MATH 1316) 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 witha grade of C or higher, Accuplacer College Mathematics score of 86 or more, or Compass College Algebra score of 46 or more.

**MATH 1319. Mathematics for Business and Economics I.**

(MATH 1324) 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: College Readiness in Mathematics according to the TSI regulations.

**MATH 1329. Mathematics for Business and Economics II.**

(MATH 1325) 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, ACT Mathematics score of 27 or more, SAT Mathematics score of 580 or more, Accuplacer College Mathematics score of 86 or more, or Compass College Algebra score of 46 or more.

**MATH 2311. Principles of Mathematics I.**

(MATH 1350) Logical deductive reasoning, number theory, a rational developmentof 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.

**MATH 2312. Informal Geometry.**

(MATH 1351) 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.

**MATH 2321. Calculus for Life Sciences I.**

(MATH 2313) This course is designed to serve the needs of students in the lifesciences. Topics will include: graphs, derivatives, exponents and logarithms, scientific notation, sequences, summation, and applications. Prerequisite: MATH 1315 with a grade of C or higher, ACT Mathematics score of 24 or more, SAT Mathematics score 520 or more, Accuplacer College Mathematics score of 86 or more, or Compass College Algebra score of 46 or more.

**MATH 2328. Elementary Statistics.**

This course is an 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. Prerequisites: MATH 1315 with a grade of “C” or higher, MATH 2321 with a grade of “D” or higher, MATH 2417 with a grade of “D” or higher, MATH 2471 with a grade of “D” or higher, ACT Mathematics score of 24 or more or SAT Mathematics score of 520 or more.

**MATH 2331. Calculus for Life Science II.**

Topics in this course will include: trigonometric functions, probability, integral calculus, differential equations, and applications. Prerequisites: MATH 2321 with a grade of “C” of higher, MATH 2471 with a grade of “D” of higher.

**MATH 2358. Discrete Mathematics I.**

This course is a study of discrete mathematical structures that are commonly encountered in computing hardware and software. Prerequisites: MATH 1315 with a grade of “C” of higher, MATH 2417 with a grade of “D” of higher, or MATH 2471 with a grade of “D” of higher.

**MATH 2417. Pre-Calculus Mathematics.**

(MATH 2412) A survey of functions, trigonometry and analytic geometry to prepare students for calculus. Prerequisite: MATH 1315 with a grade of C or higher, ACT Mathematics score of 24 or more, SAT Mathematics score of 520 or more, Accuplacer College Mathematics score of 86 or more, or Compass College Algebra score of 46 or more.

**MATH 2471. Calculus I.**

(MATH 2413) This is the first course in differential and integral calculus which stresses limits as well as the applications of calculus to the problems of science. Prerequisites: MATH 2417 with a grade of C or higher, ACT Mathematics score of 27 or more, SAT Mathematics score of 580 or more, Accuplacer College Mathematics score of 103 or more, Compass Trigonometry score of 46 or more.

**MATH 2472. Calculus II.**

(MATH 2414) 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.

**MATH 3305. Introduction to Probability and Statistics.**

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.

**MATH 3315. Modern Geometry.**

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.

**MATH 3323. Differential Equations.**

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.

**MATH 3325. Number Systems.**

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.

**MATH 3330. Introduction to Advanced Mathematics.**

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: MATH2472 with a grade of "C" or higher.

**MATH 3348. Determinisitic Operations Research.**

This course provides a broad overview of deterministic operations research techniques. Linear programming will be covered including the simplex method, duality and sensitivity analysis. Further selected topics are from integer programming, dynamic programming, scheduling models, game theory, and associated topics. Prerequisite:MATH 2472 with a grade of C or higher.

**MATH 3373. Calculus III.**

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.

**MATH 3375. Engineering Mechanics.**

A course covering statics, 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.

**MATH 3377. Linear Algebra.**

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.

**MATH 3380. Analysis I.**

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.

**MATH 3383. Numerical Analysis I.**

This course focuses on basic numerical methods in mathematics to the solution of functional problems in fields such as engineering and applied sciences. This course covers instructions in computer arithmetic, solutions of equations, interpolation, numerical differentiation/integration, and applications to scientific and industrial applications. Prerequisite: MATH 2472 with grade of “C” or higher.

**MATH 3398. Discrete Mathematics II.**

A continuation of discrete Mathematics I. Prerequisite: MATH 2358 with a grade of“C” or higher.

**MATH 4302. Principles of Mathematics II.**

Algebraic reasoning and probability with selected topics from quantitative reasoning, measurement, statistics, and geometry are integrated with middle school pedagogical practices such as inquiry learning and use of technology. Appropriate correlated lessons, writing components, and culturally responsive teaching are incorporated. Prerequisite: MATH 2312 with a grade of “C” or higher.

**MATH 4303. Capstone Mathematics for Middle School Teachers.**

A rigorous, integrated, analytical perspective of mathematical topics; quantitative reasoning, geometry and measurement, probability and statistics, number theory and algebraic reasoning. May not be applied towards a mathematics minor. Must be taken before student teaching. Prerequisites: MATH 2331 or 2472 and MATH 3315with grades of “C” or higher.

**MATH 4304. Capstone Mathematics for Secondary Teachers (of Mathematics).**

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.

**MATH 4305. Probability and Statistics.**

A course covering sample spaces, probability of events, binomial and multinomialdistributions, random variables, normal approximations, statistical inference, and applications. Prerequisite: MATH 3305 with a grade of “C” or higher.

**MATH 4306. Fourier Series and Boundary Value Problems.**

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.

**MATH 4307. Modern Algebra.**

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.

**MATH 4311. Introduction to the History of Mathematics.**

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. (WI).

**MATH 4315. Analysis II.**

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.

**MATH 4330. General Topology.**

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.

**MATH 4336. Studies in Applied Mathematics.**

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.

**MATH 4350. Introduction to Combinatorics.**

This course introduces fundamental concepts and results in combinatorics such as counting techniques, binomial coefficients, and recurrence relations; and applications in different fields such as complexity of algorithms and graph theory. Mathematical proofs are an essential part of this course. Prerequisite: MATH 2472 with a grade of "C" or higher.

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**MATH 4382. The Literature and Modern History of Mathematics and Its Applications.**

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. (WI).

**MATH 4383. Numerical Analysis II.**

This course focuses on a broad range of mathematical and computational methods in modeling, analysis, and simulation of scientific and engineering problems. This course covers instructions in numerical analysis, approximation, optimization, differential equations, scientific computation, and applications to scientific and industrial topics. Prerequisites: MATH 3383 and MATH 3323 with grades of “C” or higher.

**Note:** This page is a copy the catalog as of May 1, 2015. Please consult the official course description at the Univeristy web page http://www.txstate.edu/academicaffairs/CATALOG/catalogindex.html.