# Mathematics Courses

## COMPUTER SCIENCE COURSES

** CSC 113 (4) Programming in Java**—An introduction to the object oriented programming language, Java. Focuses on problem solving, algorithm development, and designing, coding, testing, and documenting a program using standard programming techniques. Three lecture periods and one laboratory period per week. (alternate years)

** CSC 121 (4) Computer Science I—**Focuses on problem solving and algorithm development, learning a high-level language, how to design, code, test, and document a program using standard programming techniques. Three lecture periods and one laboratory period per week.

**CSC 122 (4) Computer Science II—**Continuation of CSC 121. Further development of programming skills, algorithmic analysis, elementary data structures. Three lecture periods and one laboratory period per week. Prerequisite: CSC 121.

**CSC 182 (1) Maple Seminar—**An overview of the Maple computer algebra system. Use of Maple is a requirement for mathematics major courses from MAT 182. This course provides a systematic introduction to Maple that includes basic commands, data structures, logical controls and programming.

**CSC 391 (1-3) Directed Study—**A study of some area of computer science not covered in other courses. Offered based on demand and availability of teaching staff. Prerequisite: permission of instructor. Contract.

**CSC 393 (1) Seminar**—Discussion of selected topics. May be offered in conjunction with other departments or as a separate course primarily for math or computer science students.

**MATHEMATICS COURSES**

** MAT 100 (3) Introduction to Problem Solving—**Basic arithmetic and algebra skills set in the context of practical problem solving. Includes basic mathematical modeling and computing tools for setting up and solving problems in a variety of applications; measurement, linear models and equations, polynomials; use of TI-83 graphing calculator.

** MAT 111 (3) College Algebra—**Review of fundamental concepts of algebra including radicals, exponents, products and factoring. A study of equations and inequalities, and functions and graphs including polynomial and rational functions. Prerequisite: MAT 100 or its equivalent.

**MAT 112 (3) Precalculus—**Emphasizes a strong working knowledge of logarithmic and trigonometric functions. A major review of algebra with emphases on functions. Includes a preview of calculus. Prerequisite: MAT 111 or its equivalent.

**MAT 120 (3) Concepts of Mathematics and Technology—**Integrated mathematics and computer science course that presents a survey of topics emphasizing problem-solving and practical calculation skills related to logic, set theory, probability, statistics, and finance. Prerequisite: MAT 100 or ACT/SAT Math score of 19/460 or higher.

**MAT 131 (3) Finite Mathematics for Business—**Mathematics of finance, systems of equations, matrices, linear programming, and probability with applications to business and economics. Prerequisite: MAT 100 or ACT/SAT Math score of 21/480.

**MAT 132 (3) Calculus for Business—**Differential and integrative calculus with applications to business and economics.** **

**MAT 152 (3) Discrete Mathematics—**An introduction to topics in discrete mathematics of relevance to both mathematics and computer science majors, including: logic and sets, combinatorics, algorithms and recursion, graphs and trees, Boolean circuits, and formal languages. Prerequisite: MAT 100 or ACT/SAT Math score of 21/480.

**MAT 162 (3) Elementary School Mathematics I—**An emphasis on the skills and concepts related to the number systems of whole numbers through rational numbers. Problem solving, guided discovery, manipulatives, communication, (written and verbal), applications (connections), and technology will be incorporated. Prerequisite: MAT 100

**MAT 181, 182 (4 each) Calculus I, II—**An innovative course designed to teach the standard topics of calculus within the framework of applications. The emphasis is on seeing how calculus can be used in a large variety of settings, while the mechanics of arithmetic and algebraic computations are performed using calculators and computers. Derivatives and integrals of algebraic and transcendental functions in one and several variables are covered, as are introductory vector methods and infinite series. Prerequisite: MAT 112 or its high school equivalent.

**MAT 232 (3) Probability and Statistics—**An introduction to the basic concepts of statistics including the organization and descriptive analysis of data, probability, sampling distributions, hypothesis testing, and simple regression and correlation. Prerequisite: MAT 181.

**MAT 241 (3) Logic and Sets—**A study of the language of logic and of the theory of sets with their applications to various content areas of mathematics for the purpose of helping the student acquire an ability to construct mathematical proofs. Prerequisite: MAT 181.

**MAT 252 (3) Differential Equations and Modeling—**A first course in the quantitative solution of differential equations, including first-order equations, second- and higher-order linear equations, and power series solutions. There will be an emphasis throughout the course on the application of differential equations to various real-world problems. Prerequisite: MAT 182.

**MAT 261 (3) Elementary School Mathematics II—**An emphasis on the notions and concepts related to two- and three-dimensional geometry. Problem solving, guided discovery, manipulatives, communication (written and verbal), applications (connections), and technology will be incorporated. Two lecture periods and one laboratory period per week. Prerequisite: MAT 162.

** MAT 262 (3) Elementary School Mathematics III—**An emphasis on the concepts related to the real number system, elementary probability and statistics, and consumer mathematics. Problem solving, guided discovery, manipulatives, communication (written and verbal), applications (connections), and technology will be incorporated. Two lecture periods and one laboratory period per week. Prerequisite: MAT 261.

**MAT 271 (3) Linear Algebra—**A study of linear algebra, including vector spaces, matrices, determinants, inner products, linear transformations, and eigenvalues and eigenvectors. Prerequisite: MAT 182.

**MAT 281 (3) Probability—**Calculus-based introduction to probability including distributions of discrete and continuous random variables, expected values, and the Central Limit Theorem. Prerequisite: MAT 182.

**MAT 342 (1) History and Foundations of Mathematics—**A study of the history and foundations of mathematics to the end of the nineteenth century. Prerequisite: MAT 182 (alternate years).

**MAT 351, 352 (3 each) Applied Mathematics I, II—**A contemporary approach to applied mathematics whose central topics are discrete and continuous mathematics, linear algebra and differential equations. Numerous applications from science and engineering are covered along with the associated algorithms, always stressing a consistent underlying mathematical framework. Equilibrium problems, Fourier techniques, analytical methods, initial‑value problems, network flows and combinatorics, and optimization are possible topics. Prerequisite: CSC 112 or 121, MAT 252, 271.

**MAT 362 (4) Modern Geometry—**Designed for preservice middle and secondary teachers of mathematics. A study is made of Euclidean and non-Euclidean geometries using technology and hands-on experiences to generalize from example to theory. Prerequisite: MAT 241. (alternate years)

**MAT 371 (4) Algebraic Structures—**Introduces algebraic structures including groups, subgroups, rings, fields and integral domains. Special emphasis is placed on the real number system. The course includes a brief introduction to number theory. Also, a systematic review of Algebra I, Algebra II and Precalculus are conducted in a manner appropriate to Middle School and High School Teachers. Enrollment requires approval of the department chair. (on occasion)

**MAT 391 (1-3) Directed Study—**An advanced study of select problems. Prerequisite: 9 hours of MAT in courses numbered 300 or above and a 3.00 GPA in MAT courses. Not more than four hours may apply toward graduation. Contract.

** MAT 393 (1) Seminar**—Discussion of selected topics. May be offered in conjunction with other departments or as a separate course primarily for math or computer science students.

**MAT 432 (3) Financial Statistics—**Application of statistical methods in finance and economics. Topics include single and multivariate regression analysis, integrated methods, moving average models, autoregression models, time series analysis, ARIMA and ANOVA models. Prerequisite: MAT 232. (Alternate years.)

**MAT 435 (1-3) Financial Mathematics Internship—**In consultation with program faculty, a student will be placed in an internship in the business, finance or insurance industry. The student will maintain contact with the faculty sponsor and produce a paper or presentation of the work done during the internship experience. Contract.

**MAT 442 (3) Numerical Analysis**-A study of numerical methods concerned with the formulation of mathematical problems so that they may be solved using computers. Topics include rootfinding, interpolation, integration, and the solution of linear systems and differential equations.Prerequisites: MAT 252, 271 and CSC 122. (alternate years)

**MAT 462 (3) Topics in Secondary Mathematics—**Designed for preservice middle and secondary school teachers of mathematics. Topics of the grades 5-12 mathematics curriculum reconsidered from the prospective of understanding, connecting, and explaining via manipulative and computer software.

**MAT 471 (3) Abstract Algebra —**An introducation to mathematical theory on rings, groups and their homomorphisms and isomorphisms. Prerequisite: MAT 241 and 271. Offered alternate years.

** MAT 474 (1) Financial Mathematics Senior Capstone**—Focuses on how to use financial mathematics skills to penetrate and impact the cultural setting of corporate leaders in the U.S.and overseas. Requires a paper which synthesizes the student’s vision of how financial mathematics may be used for the Kingdom of God. Paper will be reviewed by a panel of people from both inside and outside the University who will then administer an oral examination to the student. Requires at least one professional interview with a senior executive, academician, or politician.

** MAT 475 (1) Senior Seminar—**This course will consist of a series of projects, many of which are chosen by students, on the basis of evaluative procedures and career plans. Most projects will involve class presentations, and projects that integrate several topics will be particularly encouraged.

**MAT 481 (3) Real Analysis—**A detailed examination of the analytic foundations of calculus. Topics include sequences, limits, continuity, differentiation, Riemann integration, and an introduction to topology. Prerequisite: MAT 241. (alternate years)

**MAT 482 (3) Complex Analysis—**The first course in the extension of calculus to complex numbers. Topics include the concept of analytic functions, the Cauchy‑Riemann equations, Cauchy's theorem and formula, power series, the calculus of residues and the evaluation of definite integrals, conformal maps, and Riemann surfaces. Prerequisite: MAT 252, 271. (alternate years)

Bulletin 2011-2012 Revised 8/26/2011