MATHEMATICS (MATH)

100-3 Basic Mathematics. (3-0) 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.

101-3 Fundamentals of College Algebra. (3-0) The real number system, algebraic expressions, polynomials, exponents, equations, and systems of equations. Primarily for non-science and non-mathematics majors; 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. Course fee $10.

107-3 College Algebra. (3-0) The study of radical, quadratic, polynomial, exponential, and logarithmic functions and expressions; systems of equations; Binomial Theorem; and partial fractions. Additional topics may include: conic sections, mathematical induction, matrices, sequences and series, and variations. Approved graphing calculator required. Prerequisite: Three credits of high school mathematics including two credits in Algebra I and II or a grade of C or better in MATH 101. Course fee $10.

108-3 Elementary Applied Mathematics. (3-0) 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.

109-3 Plane Trigonometry. (3-0) 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.

110-3  Math for Business I. (3-0) 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.

111-3  Mathematics for Business II. (3-0) 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. Prerequisite: MATH 110. Course fee $10.

118-4  Precalculus. (3-2) 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: 3 credits of high school mathematics including 1 credit in algebra II, or a grade of C or better in MATH 101.  Course Fee $10. Lab fee $5.

120-4 Calculus I. (3-3) Limits, continuity, the derivative, differentiation techniques, optimization, curve sketching, the definite integral, applications of the definite integral. Use of computer technology and laboratory assignments will be required in this course. Prerequisites: MATH 109 or concurrent registration or MATH 116. Course fee $10.

131-3 Introduction to Probability and Statistics. (3-0) Introduction to sets, counting techniques, probability, random variables, mean and variance, distributions, and statistical inference. Credit for MATH 131 will not be given if credit for MATH 300 has previously been awarded. Prerequisite: College Algebra or higher mathematics. Course fee $10.

209-4 Calculus II. (3-3) Derivatives and integrals related to inverse trigonometric, hyperbolic, and inverse hyperbolic functions; techniques of integration, indeterminate forms, improper integrals, Taylor’s formula, sequences, series, power series. Use of computer technology and laboratory assignments will be required in this course. Prerequisite: MATH 120. Course fee $10.

220-3 Introduction to Mathematical Modeling. (3-0) An introduction to the development and analysis of mathematical models. Modeling techniques will include graphical analysis, curve fitting methods, interpolation, linear programming, dimensional analysis, and probabilistic models. Prerequisite: MATH 120.

300-3 Principles of Statistics. (3-0) 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.

301-3 Number Theory. (3-0) 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.

302-3 Principles of Geometry. (2-2) 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.

303-3 Concepts of Elementary Mathematics I. (3-2) 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.

305-3 Concepts of Elementary Mathematics II. (3-2) Basic concepts in algebra, geometry, calculators and computers, metric system and measurement, and probability and statistics. Prerequisite: MATH 303. Course fee $15.

306-3 Differential Equations. (3-0) 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.

307-3 Abstract Algebra. (3-0) The study of preliminary notions, group theory, the theory of rings and ideals, and polynomial rings. Prerequisite: MATH 332.

309-3 Algebraic Functions. (3-0) Surveys elements of Algebra with in-depth examination of sets, functions, quadratic equations, polynomials, exponential and logarithmic functions. To fulfill degree requirements for math or for electives, students must earn a grade of C or better. (May be used to fulfill the College Algebra requirement except for teacher education.)

310-3 Discrete Mathematics. (3-0) 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: College Algebra or MATH 309.

311-3  Probability and Statistics. (3-0) Topics will include probability axioms, sampling distributions, descriptive statistics, finite random variables, infinite discrete random variables, continuous random variables, Central Limit Theorem, estimation, tests of significance, and regression. Prerequisites: MATH 209.

332-3 Linear Algebra. (3-0) Linear systems, matrices, vector spaces, linear dependence and independence, bases, dimensions, inner product, linear transformations, determinants, eigenvalues, and eigenvectors. Prerequisite: MATH 209.

333-4 Calculus III. (3-3) 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.

350-4 Principles of Bio-Statistics. (3-2) 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.

360-3 Numerical Analysis. (3-0) 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.

400-3 Introductory History of Mathematics. (3-0) 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 or department head approval.

402-3 College Geometry. (2-2) 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.

404-3 Survey of Mathematical Ideas. (3-0) 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.

405-3 Concepts of Elementary Mathematics III. (3-0) 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: MATH 305. Course fee $10.

409-3 Advanced Analysis. (3-0). 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 integration. Prerequisite: MATH 209.

420-3 Mathematical Modeling. (3-0) 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.

486-v  Mathematics Problems. (Credit variable) 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.

490-3 Math Topics. (3-0) 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.

500-3 History of Mathematics. (3-0) A historical and philosophical development of mathematics from earliest times down to the present. Mathematical topics are presented in a historical and philosophical setting not only to provide a unifying theme, but also to illustrate how the evolution of mathematical ideas finally led to modern concepts in the field. Students having prior credit for History of Mathematics will not receive credit for MATH 500. Prerequisite: Approval of department head.

505-3 Probability and Statistics. (3-0) Topics will be selected from: distributions and stochastic processes, parametric and nonparametric statistics, and time series analysis. Prerequisite: 3 semester hours of undergraduate statistics.

506-3 Dynamical Systems. (3-0) Advanced study of dynamical systems. Topics will be selected from discrete and continuous dynamical systems, sensitivity analysis, models of the physical, life, and social sciences, and bifurcation analysis. Prerequisite: MATH 306 and 332.

507-3 Topics in Secondary Mathematics. (3-0) This course applies the standards of the National Council of Teachers of Mathematics to the curriculum of secondary mathematics. It explores techniques to implement the standards through the use of manipulatives, graphing calculators, and computer technology. Prerequisite: 12 semester hours MATH or approval of department head.

508-3 Abstract Algebra. (3-0) Topics will be selected from: groups, homomorphism, isomorphism, direct products and sums, invariant properties, rings, and fields. Prerequisite: MATH 307.

509-3 Complex Variables. (3-0) An introduction to complex analysis. Topics will be selected from elementary operations and analytic functions, curves and integrals, power series, Cauchy’s theorem, zeroes and singularities of analytic functions, Laurent series, maximum principle, analytic continuation, harmonic functions, conformal mapping and transformations. Prerequisite: MATH 209 or approval of department head.

511-3  Operations Research. (3-0) This course examines the theoretical support and applications of the simplex algorithm for linear programming and for dynamic programming. Transportation and scheduling problems are among the applications to be emphasized. Prerequisite: MATH 332.

520-3 Real Analysis. (3-0) Topics will be chosen from: sets and operators; cardinal numbers and ordinal types; metric spaces and Lebesque measure; metric properties of sets; differentiation and integration. Prerequisite: MATH 409.

530-3 Mathematical Modeling. (3-0) An advanced course in mathematical modeling. Topics will be selected from scaling, dimensional analysis, regular and singular perturbation theory, stability theory, and asymptotic analysis. Prerequisites: MATH 306, 332.

550-3 Linear Algebra. (3-0) An advanced course in linear algebra. Topics to be selected from linear spaces and operators, canonical forms, quadratic forms and optimization, computation and condition, and compatible systems. Prerequisite: MATH 332.

560-3 Numerical Analysis. (3-0) An advanced study of numerical analysis. Topics will be selected from linear systems, approximation theory, numerical differential and integral equations, integration theory. Prerequisite: MATH 360.

580-3 Selected Topics in Mathematical Theory. (3-0) An examination of topics in mathematical theory appropriate for secondary mathematics educators. Topics will be selected from geometry and topology, number theory, modern algebra, and library research in mathematics. This course may be repeated for credit as the topic changes. Prerequisite: Approval of department head.

584-3 Instructional Technology. (3-0) The technological resources available to mathematics educators and the implementation of these resources will be studied. The technological resources to be discussed may include graphing calculators, data collection devices, computer software packages, and internet resources. This course may be repeated for credit as the topic changes. Prerequisite: Approval of department head.

586-3 Advanced Special Problems in Mathematics. (Credit variable) Special problems in mathematics. 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.

588-3 Thesis. (3-0) Scheduled when the student’s committee chair determines the student is ready to begin the thesis. No credit is earned until the student has enrolled in at least 6 credit hours of thesis and the thesis is certified as completed by the student’s committee, at which time the student will be awarded 6 credit hours of thesis. Prerequisite: 18 hours of approved graduate credit toward the degree and consent of the student’s committee.

590-3 Selected Topics in Mathematics. (3-0) An examination of topics in applied mathematics. Topics for study will be selected from advanced mathematical modeling, advanced numerical techniques, practical optimizations, calculus of variations, dynamic programming, integral equations, optimal control, perturbation methods, and library research in applied mathematics. This course may be repeated for credit as the topic changes. Prerequisite: Approval of department head.