Catalog 20122013
Table of Contents

Mathematics (MATH) Department of Mathematics MATH 0103 Introductory Algebra Covers beginning algebra with an emphasis on the development of algebraic skills. Includes a review of the real numbers and moves into solving equations, factoring, graphing equations, inequalities, systems of equations, solving fractional equations, and radical notations. Required of all students whose ACT/SAT scores indicate deficiency in algebra. Not applicable to graduation requirements. Class 3. MATH 1123 Intermediate Algebra A study of algebra beginning with signed numbers through quadratic equations, including algebraic expressions, factoring, linear equations, linear inequalities, linear functions, and systems of equations in two variables. Required of all students whose ACT/SAT scores indicate deficiency in algebra. Not applicable to graduation requirements for any B. S. degree. Class 3. MATH 1203 College Algebra With Applications A study of linear and quadratic equations, exponential and logarithmic functions, and linear inequalities with emphasis on business applications. This course may not be taken for credit by anyone who has passed MATH 1303, MATH 1603, or MATH 1903 with a grade of C or better. Class 3. Prerequisite: MATH 1123 or equivalent. MATH 1252 Trigonometry A study of the trigonometric functions, identities, solving triangles, inverse trigonometric functions, and complex numbers. Class 2. Prerequisite: MATH 1123 or equivalent. MATH 1303 Precalculus A study of polynomial, exponential, logarithmic, and rational functions, systems of equations and inequalities, sequences, series, and analytic geometry, including a review of algebra. This course may not be taken by anyone who has passed MATH 1603 or MATH 1903 with a grade of C or better. Class 3. Prerequisite: MATH 1123 or equivalent. MATH 1423 Elementary Statistics An introductory treatment of research statistics. Included are frequency distribution, graphic representation, correlation, sampling theory, probability, and statistical hypotheses. Not applicable to graduation requirements in mathematics or engineering. Class 3. Prerequisite: MATH 1123 or equivalent. MATH 1503 Calculus With Business Applications A study of differential calculus and its application to business. This course may not be taken for credit by anyone who has passed MATH 1603 or MATH 1903 with a grade of C or better. Class 3. Prerequisite: MATH 1203. (Spring) MATH 1603 Technical Calculus I An introduction to calculus including analytic geometry, limits, derivatives, applications of derivatives, applications of antiderivatives, and the definite integral. Not applicable for degree requirements in mathematics or engineering. This course may not be taken for credit by anyone who has passed MATH 1903 with a grade of C or better. Class 3. Prerequisites: MATH 1252 and MATH 1303, or equivalent. (Fall) MATH 1613 Technical Calculus II A continuation of MATH 1603 including applications of the definite integral, exponential and logarithmic functions, trigonometric functions, integration techniques, and improper integrals. Not applicable for degree requirements in mathematics or engineering. This course may not be taken for credit by anyone who has passed MATH 2013 with a grade of C or better. Class 3. Prerequisite: MATH 1603. (Spring) MATH 1803 Discrete Mathematics Topics include set theory, relations, propositional logic and proofs, algebraic structure, graph theory, and Boolean algebra. Techniques of proof introduced include proof by specialization and division into cases, indirect proof, existence and uniqueness proofs, and induction. Class 3. Prerequisite: MATH 1203 or equivalent. MATH 1903 Calculus I An introduction to calculus with emphasis on concepts and principles. Topics studied include limits, derivatives, applications of derivatives, and antiderivatives. Class 3. Prerequisites: MATH 1252 and MATH 1303, or equivalent. MATH 2013 Calculus II A continuation of MATH 1903 including techniques and applications of integration, polar coordinates, and infinite series. Class 3. Prerequisite: MATH 1903. MATH 2023 Calculus III A continuation of MATH 2013 including parametric equations, vectors, vector functions, partial derivatives, multiple integrals, and vector analysis. Class 3. Prerequisite: MATH 2013. MATH 2203 Differential Equations Solutions, properties, and applications of ordinary differential equations, including the use of Laplace transforms and Fourier series. Class 3. Prerequisite: MATH 1613 or MATH 2013. MATH 2503 Logic, Sets and Proofs This course is a study of mathematical logic, set theory, and methods of proof. It is a transition course for mathematics majors from problem solving of lower level courses to proving in upper level courses. Class 3. Prerequisite: MATH 2013. (Spring) MATH 3103 Biomathematics This is a study of discrete and continuous mathematical models in biology. Topics include: population dynamics of single species and interacting species, infectious diseases, population genetics, and new research topics in the field. Class 3. Prerequisite: MATH 2203. (On Demand) MATH 3301 Linear Algebra Lab Application of commercial software, such as MATLAB, to the solution of linear algebra problems. This course is intended to accompany MATH 3303 Linear Algebra. Lab 2. Corequisite: MATH 3303 MATH 3303 Linear Algebra A study of systems of linear equations, matrices, vector spaces, linear independence, bases, dimension, linear transformations, determinants, eigenvalues, and geometric applications. Class 3. Prerequisite: MATH 1613 or MATH 2013. MATH 3403 Statistics A study of elementary concepts and techniques of statistics including representations of data, statistical measures, fundamentals of probability, distribution laws, and statistical tests. Class 3. Prerequisite: MATH 2013. MATH 3404 Statistics and Quality Control A study of elementary concepts and techniques of statistics and application of statistics to industrial processes including representations of data, statistical measures, fundamentals of probability, distribution laws, statistical tests, chart analysis, construction and analysis of control charts, statistical aspects of tolerances, analysis of variance, factorial designs, and response surface methods. Class 4. Prerequisite: MATH 2013. MATH 3453 Statistical Methods A continuation of MATH 3403 Statistics. Topics covered are linear, multiple, and nonlinear regression; onefactor experiments, fixed and random models, twofactor experiments, threefactor experiments, factorial experiments, fractional factorial experiments, and Taguchi techniques. Class 3. Prerequisite: MATH 3403. (On Demand) MATH 3503 Mathematical Concepts Mathematical concepts such as probability, statistics, geometric constructions, measurement, ratio and proportion, prealgebra, and basic tests and measurements concepts including interpretation of data. Use of manipulatives in learning mathematical concepts. Only applicable to graduation requirements of elementary education students. Class 3. Prerequisite: Math 1123 or equivalent. (Spring) MATH 3553 Math Practicum This course will teach techniques for enhancing the learning of mathematics. The techniques will include topics such as the use of manipulatives, the use of calculators, the use of internet resources, and other procedures to augment the problem solving nature of mathematics. Only applicable to graduation requirements of education students. Class 3. Prerequisite: Admission to the Teacher Education Program. (Fall) MATH 3603 Mathematical Modeling This course includes techniques of problem solving and mathematical models presented by examples and case studies of applications of mathematics in industrial and business settings. Class 3. Prerequisite: MATH 3303. (On Demand) MATH 3703 Abstract Algebra An introduction to algebraic structures including groups, rings, and fields. Class 3. Prerequisites: MATH 2503 and MATH 3303. (Spring) MATH 3803 Financial Mathematics Topics include: annuities, yield rates, amortization schedules and sinking funds, bond and other securities, pricing and riskneutrality, options and their properties, stochastic models, and options. Class 3. Prerequisite: MATH1613 or MATH 2013. (On Demand) MATH 3903 History of Mathematics A study of the history of mathematics from ancient Babylonian times to the early Twentieth Century. The contribution of individual mathematicians will be included. The development of several areas in mathematics will be studied, such as number theory, algebra, geometry, and calculus. Class 3. Prerequisite: Junior or Senior standing. (On Demand) MATH 4103 Real Analysis A more rigorous study of topics beyond the intermediate level from the calculus including the real number system, point sets, functions, sequences, limits, continuity and uniform continuity, differentiation, indeterminate forms, and the Riemann integral. Class 3. Prerequisites: MATH 2503. (Fall, Odd years) MATH 4203 Probability Theory This is a rigorous study of probability theory. Topics include: random variables, expectation, independence, laws of large numbers, weak convergence, central limit theorems; the concepts of conditional probability and conditional expectation; and basic properties of certain classes of random processes such as martingales and random walks. Class 3. Prerequisites: MATH 3404. (On Demand) MATH 4233 Stochastic Processes This course focuses on the qualitative and quantitative behavior of stochastic models. Topics include: Markov chains, Markov processes in discrete and continuous time, diffusion processes, Brownian motion and transformations of Brownian motion, stochastic differential equations. Class 3. Prerequisites: MATH2203 and MATH3404. (On Demand) MATH 4253 Operations Research This course is an introduction to modeling and mathematical optimization techniques. Topics may include linear programming, network flows, discrete optimization, constrained and unconstrained nonlinear programming, and queuing theory. Class 3. Prerequisites: MATH 2023 and MATH 3303. (On Demand) MATH 4303 College Geometry A careful axiomatic development of certain important parts of elementary Euclidian and nonEuclidian geometry. Class 3. Prerequisite: MATH 1603 or MATH 1903. (Fall, Even years) MATH 4403 Numerical Analysis A study of topics from methods of finding zeros of functions, approximation of functions by polynomials, finite differences, numerical integration, solutions of systems of linear equations, numerical solutions of differential equations, and roundoff error analysis. Class 3. Prerequisites: COSC 1303 and either MATH 1613 or MATH 2013. (Fall) MATH 4513 Quality Assurance and Experimental Design The application of statistics to industrial processes including: chart analyses, construction and analysis of control charts, statistical aspects of tolerances, one, two and three factor analysis of variance, factorial designs, fractional factorial designs, and response surface methods. Class 3. Prerequisites: MATH 3404 with a minimum grade of B.. (On Demand) MATH 4653 Actuarial Mathematics This course considers individual and collective risk models, survival distributions and life contingency tables, and models for life insurance and multiple life functions. Class 3. Prerequisite: MATH 3453. (On Demand) MATH 4903 Senior Seminar This capstone course provides a summary of the mathematics major leading to an investigation of the Christian view of mathematics. The student will write a research paper developing his/her own philosophy of mathematics. Class 3. Prerequisite: senior graduating within one semester. (Fall) MATH 49414993 Special Topics This course consists of one topic (or possibly more) from the following group: vector analysis, point set topology, complex variables, number theory, mathematical statistics, logic, design of experiments, history of mathematics, or other topics. This course may be taken more than one time when the topics are different. Class 13. Prerequisite: Consent of instructor. 