2012-13 Catalog

MATH 001. NonCourse Based Dev Math I. 3 Hours.

MATH 002. NonCourse Based Dev Math II. 3 Hours.

MATH 100. Basic Mathematics. 3 Hours.

This course features an intensive study of basic arithmetic concepts and skills, and the introduction to basic algebra as a preparatory course for MATH 101, Fundamentals of College Algebra. It does not count for degree credit. A student must earn a grade of at least C in order to progress to MATH 101. Course fee $10.

MATH 101. Fundamentals Of College Algebra. 3 Hours.

A study of functions, polynomials (including operations and factoring), rational expressions and equations, systems of linear equations in two and three variables, and exponents. Approved graphing calculator required. Not for degree credit. A student cannot get credit for MATH 101 if credit has previously been received for MATH 107. A student must earn a grade of at least C in order to progress to MATH 107. Enrollment in this course will be in accordance with the Mathematics Placement and Continuing Enrollment Rules. Course fee $10.

MATH 107. College Algebra. 3 Hours.

The study of quadratic, polynomial, exponential, and logarithmic functions and equations; conic sections; sequences and series; and the Binomial Theorem. Additional topics may include: mathematical induction and matrices. Approved graphing calculator required. Prerequisite: Enrollment in this course will be in accordance with the Mathematics Placement and Continuing Enrollment Rules. Course fee $10.

MATH 108. Elementary Applied Mathematics. 3 Hours.

Elementary mathematical applications to problems of finance, probability, statistics, and geometry, and the development of reasoning skills. This course cannot be counted on a degree program for a mathematics major. Prerequisite: high school Algebra I and II or a grade of C or better in MATH 101. Course fee $10.

MATH 109. Plane Trigonometry. 3 Hours.

Angles and coordinates, trigonometric functions, solutions of triangles and applications, reduction theorems and formulas, identities and conditional equations, addition formulas and derived relations, angular and linear speed, logarithms, and radian measure. Prerequisite: MATH 107 or concurrent registration. Course fee $10.

MATH 110. Mathematics for Business I. 3 Hours.

Linear equations and applications, linear forms and systems of linear equations, matrix algebra and applications, linear programming, probability and applications, and statistics. Prerequisite: three credits of high school mathematics including two credits in Algebra I and II or a grade of C or better in Math 1013. Course fee $10.

MATH 111. Mathematics For Business II. 3 Hours.

Application of mathematical concepts to topics from finance, management science, marketing, and economics. Concepts addressed include linear models, exponential functions, probability and statistics, and introductory calculus concepts. This course cannot be counted on a degree program for a mathematics major.

MATH 118. Precalculus. 4 Hours.

Applications of algebra and trigonometry to the study of elementary functions and their graphs including polynomial, rational, exponential, logarithmic, and trigonometric functions. Additional topics will be chosen from analytical geometry, mathematical induction, sequences, and series. Prerequisite: Enrollment in this course will be in accordance with the Mathematics Placement and Continuing Enrollment Rules. Course Fee $10. Lab fee $5.

MATH 120. Calculus I. 4 Hours.

Algebraic and transcendental functions, limits, continuity, derivatives and related applications, an introduction to the definite integral, integration, and the Fundamental Theorem of Calculus. Use of computer technology and laboratory assignments will be required in this course. Prerequisite: MATH 109 or MATH 118. Course fee $10. Lab fee $5.

MATH 131. Introductory to Probability and Statistics. 3 Hours.

Data collection and analysis, elementary probability, discrete and continuous distributions, regression, correlation, estimation, and nonparametric methods. Credit cannot be awarded for both MATH 131 and MATH 350. Prerequisite: MATH 107 or satisfactory performance on College-Level Mathematics Placement Examination or approval of Freshman Mathematics Coordinator . Course fee $10.

MATH 209. Calculus II. 4 Hours.

Applications of integration, integration techniques, sequences and infinite series, power series, parametric and polar curves. Use of computer technology and laboratory assignments will be required in this course. Prerequisite: MATH 120. Course fee $10. Lab fee $5.

MATH 232. Applied Matrix Algebra. 3 Hours.

An introduction to matrix and vector arithmetic, Gaussian Elimination, matrix factorization, determinant, matrix inverse, eigenvalues and eigenvectors. Applications to be chosen from linear models, linear optimization and the Simplex Method, orthogonal projections and least-square problems, matrix diagonalization, discrete dynamical systems, cryptology and computer graphics. Technology will be emphasized. Prerequisite Course(s): MATH 120. Course fee: $10.

MATH 300. Principles Of Statistics. 3 Hours.

Data collection and analysis, elementary probability, discrete and continuous distributions, regression, correlation, estimation, and nonparametric methods. This course cannot be counted on a degree program for a mathematics major. Credit cannot be awarded for both MATH 300 and MATH 350. Prerequisite: MATH 107. Course fee $10.

MATH 301. Number Theory. 3 Hours.

The study of congruence relations, rational integers, diophantine equations, quadratic reciprocity law, linear forms, integral domains, and related topics. Prerequisite: 6 hours of Mathematics including MATH 120.

MATH 302. Principles of Geometry. 3 Hours.

Introduction to Euclidean geometry. Topics will include an introduction to logic, properties of parallel lines, triangles, quadrilaterals, and measurement. Similarity and proportionality will also be addressed. Prerequisite: MATH 120. Course fee $10. Lab fee $5.

MATH 303. Concepts of Elementary Mathematics I. 3 Hours.

Problem solving, sets, functions, logic, elementary number theory, concepts of properties of whole numbers, rational numbers, integers, and real numbers. Designed for those planning to teach in elementary school. Prerequisites: MATH 107 and Junior standing. Course fee $15. Lab fee $5.

MATH 305. Concepts of Elementary Mathematics II. 3 Hours.

Basic concepts in algebra, geometry, measurement, calculators and computers, metric system, probability and statistics. Prerequisite: MATH 303. Course fee $15. Lab fee $5.

MATH 306. Differential Equations. 3 Hours.

Solutions and applications of homogeneous and nonhomogeneous ordinary differential equations, including first-order equations and higher-order linear equations. Qualitative properties of solutions are investigated, as well as exact methods for solving differential equations and initial value problems including series, Laplace transform, separation of variables, variation of parameters, and undetermined coefficients. Prerequisite: MATH 209.

MATH 310. Discrete Mathematics. 3 Hours.

Introduces students to the techniques and tools of reasoning, decision making and combinational problem solving. Topics include sets and logic, combinations, probability, relations and functions, Boolean properties and graph theory. Prerequisite: MATH 120 or concurrent enrollment.

MATH 311. Probability and Statistics I. 3 Hours.

Topics will include probability axioms and properties; conditional probability and independence; counting techniques; and discrete, continuous, univariate, and multivariate random variables. Prerequisite: MATH 209.

MATH 332. Linear Algebra. 3 Hours.

A study of the theory of real vector spaces and linear transformations. Topics include vector spaces, inner product, norm, distance, subspaces, spanning sets, linear dependence and independence, bases, dimension, linear systems, coordinates, linear transformations, kernel, image, isomorphisms, inverse linear transformations, matrix representations of linear transformations, similarity, direct sums, and canonical forms. Prerequisites: MATH 209, MATH 232 and MATH 310.

MATH 333. Calculus III. 4 Hours.

The calculus of two dimensional vectors, parametric equations, cylindrical and spherical coordinates, multivariable differential calculus, directional derivatives and their applications, multiple integration, vector analysis, line and surface integrals, Green's Theorem, Stokes's Theorem. Use of computer technology and laboratory assignments will be required in this course. Prerequisite: MATH 209. Course fee $10. Lab fee $5.

MATH 350. Principles of Bio-Statistics. 4 Hours.

An introduction to statistical methods that are applied in biology and agriculture. Use of technology and hands-on laboratory assignments will be required in this course. This course cannot be counted on a degree program for a mathematics major. Credit cannot be awarded for both MATH 300 and 350. Prerequisite: MATH 107. Course fee $10. Lab fee $5.

MATH 360. Numerical Analysis I. 3 Hours.

An introduction to numerical analysis. Topics will be selected from error analysis, solving algebraic equations, interpolation, numerical differentiation and integration, methods for solving systems of equations, approximation theory, and initial value problems of ordinary differential equations. Prerequisite: MATH 209.

MATH 402. College Geometry. 3 Hours.

Topics will include logic, properties of circles and transformations, projective and non-Euclidean geometry. Technology will be included when appropriate. Prerequisite: MATH 120. Course fee$10. Lab fee$5.

MATH 404. Survey Of Mathematical Ideas. 3 Hours.

This course is designed to bring together and supplement the technical material of other mathematics courses to communicate mathematics effectively. Topics in algebra, trigonometry, geometry, statistics, and discrete mathematics will be explored. Technology will be used where appropriate. Prerequisites: MATH 120 and MATH 302 or MATH 402 or concurrent enrollment. Course fee $10.

MATH 405. Mathematics Concepts III. 3 Hours.

This course is designed to develop and extend the mathematical content knowledge of prospective middle school teachers. Topics will include the development of algebraic reasoning through the use of patterns, relations, and functions, with an emphasis on multiple representations (numerical, graphical, verbal, and/or symbolic). Technology will be integrated into the curriculum where appropriate. Prerequisite: Junior Standing with at least one of the following: MATH 305 or MATH 402 or concurrent enrollment in MATH 402. Course fee $10.

MATH 409. Advanced Analysis I. 3 Hours. [WI]

A study of the theory of the calculus of functions of a single variable. Topics include the topology of the real line, functions, sequences and their limits, continuity, differentiation, and analysis of variance. Prerequisite: MATH 209 and MATH 310.

MATH 411. Probability and Statistics II. 3 Hours.

Topics will include normal distributions; sampling distributions; the central limit theorem; descriptive statistics; and the theory of statistical estimation and testing, with applications to proportions, means, contingency tables, univariate linear regression, and analysis of variance. Prerequisite: MATH 311.

MATH 420. Mathematical Modeling. 3 Hours.

An advanced course in mathematical modeling requiring students to build and validate deterministic models of complex phenomena. The course will emphasize both qualitative and quantitative computational techniques of applied mathematics. Prerequisites: MATH 209 and 6 hours of advanced MATH.

MATH 432. Abstract Algebra. 3 Hours. [WI]

The study of preliminary notions, group theory, the theory of rings and ideals, and polynomial rings. Prerequisite: MATH 209 and MATH 232.

MATH 470. Introduction to History of Mathematics. 3 Hours.

An introduction to the historical and philosophical development of the various branches of mathematics. The evolution of mathematical ideas will be studied from their developmental stages to the modern concepts used today. Prerequisites: 6 advanced hours in MATH.

MATH 484. Internship. 3 Hours.

The student will complete a supervised and comprehensive work experience in a mathematics-related position with a public or private business organization for career preparation in a mathematics-related enterprise. The work experience must be formally approved and arranged with a cooperating sponsor prior to semester of enrollment in the course, and should be completed within the semester of course enrollment. Oral and written reports of the internship experience will be required. Prerequisite: At least 24 hours of degree-applicable MATH coursework with no grade lower than a 'C' in a MATH course, minimum 2.6 MATH GPA, minimum 2.6 overall GPA, junior or senior classification, and approval of department head.

MATH 486. Mathematic Problems. 1-4 Hours.

Special problems in mathematics. Not covered by any course in the curriculum. Work may be either theory or laboratory. May be repeated with approval of the department head for additional credit when fewer than four credits have been earned. Prerequisite: Approval of department head.

MATH 488. Undergraduate Research Project. 1-3 Hours.

Methods of research in the mathematical sciences or in mathematics education through a research project directed by a departmental faculty member. The student is required to prepare a final report and presentation. No credit is earned until the student has enrolled in at least 3 credit hours and the final report and presentation are certified as completed by the faculty member directing the project, at which time the student will receive 3 credit hours. Prerequisite Course(s): Mathematics major, junior standing, 24 semester hours MATH and department head approval.

MATH 490. Math Topics. 3 Hours.

Topics will be selected from areas of mathematics suitable for upper level study. This course may be repeated once, with department head approval, as topics change. Prerequisite: MATH 209 and 6 hours of upper level mathematics.