Math (MATH)

A student who has a C- or better or transfer credit for a mathematics or computer science course may not subsequently take any of its explicit or implied prerequisite courses for credit without permission of the department chairperson. Permission will be given only for sound curricular reasons.

ASC 080 BASIC CONCEPTS IN MATHEMATICS
This course is housed in the Academic Support Center.

MATH 090 PREREQUISITE TO COLLEGE MATHEMATICS - 5 hrs
Intermediate algebra topics: sets, linear equations and inequalities in one and two variables, solving systems of linear equations, quadratic equations in one and two variables, graphing first and second degree equations, rational exponents, rational expressions, geometric figures, distance in the plane, circles, formulas, applications, connections among topics, and writing in mathematics. Note: a graphing calculator is required in this course. Prereq: A C- or better in ASC 080 or qualification through the department�s placement examination. Students required to take this course must complete it with a C- or better within six quarters of enrollment or face suspension/dismissal. MATH 090 does not count towards graduation in any degree program. Thus, students who have taken this course must complete at least 185 hours to graduate.

MATH 115 COLLEGE ALGEBRA - 5 hrs
A study of polynomial, radical, exponential, and logarithmic functions and their graphs; solving equations and inequalities; and basic analytic geometry. Prereq: A C- or better in MATH 090, or qualification through the department�s placement exam.

MATH 116 TRIGONOMETRY AND COLLEGE ALGEBRA II - 5 hrs
A study of rational functions and their graphs, trigonometric functions, identities, inverse trigonometric functions, trigonometric equations, solving triangles, complex numbers, and polar coordinate systems. Prereq: A C- or better in MATH 115, or qualification through the department�s placement exam.

MATH 120 ELEMENTARY FUNCTIONS - 5 hrs
An accelerated combination of MATH 115 and MATH 116. This course is designed for more advanced students as preparation for calculus. Prereq: Qualification through the department�s placement exam.

MATH 150 THE NATURE OF MATHEMATICS - 5 hrs
A survey of many topics, viewed in a liberal arts context, providing a broad, diverse, yet more holistic and humanistic perspective toward mathematics. Topics may include problem solving, number theory, set theory, logic/reasoning, group theory, graph theory, probability, statistics, calculus, geometry, math and art or music, and history of mathematics. Prereq: A C- or better in MATH 090 or qualification through the department�s placement exam.

MATH 155 DISCRETE MATHEMATICS I - 3 hrs
Elementary logic and propositional calculus with quantifiers, proof techniques (including induction and contradiction, contraposition and counterexample), intuitive set theory, functions and relations. Prereq: MATH 115 or MATH 120 or qualification through the department�s placement exam.

MATH 165 DISCRETE MATHEMATICS II - 3 hrs
Graph theory including planarity, isomorphism, covering circuits, coloring, trees and searching, network algorithms; combinatorics including counting, permutations, combinations, binomial coefficients, recurrence relations, the pigeonhole principle, and the inclusion-exclusion principle. Prereq: MATH 155.

MATH 170 CALCULUS I - 5 hrs
Differential calculus of elementary functions. Topics covered include limits, continuity, derivatives, differentiation rules, Lagrange mean value theorem, L�Hospital�s rule, and applications of differential calculus. Prereq: A C- or better in both MATH 115 and MATH 116 or in MATH 120, or qualification through the department�s placement exam.

MATH 180 CALCULUS II - 5 hrs
A continuation of Calculus I. Integral calculus of elementary functions. Topics covered include definite integrals, indefinite integrals, fundamental theorem of calculus, techniques of integration, and applications of integration. Prereq: A C- or better in MATH 170.

MATH 190 CALCULUS III - 5 hrs
A continuation of Calculus II with emphasis on series theory. Topics covered include first order linear differential equations, conic curves, parametric equations and polar equations of curves, sequences and series, power series, Taylor series, and binomial series. Prereq: A C- or better in MATH 180.

MATH 200 MULTIVARIABLE CALCULUS - 5 hrs
Calculus of multi-variable functions. Topics covered include three dimensional analytic geometry, vectors, limits, continuity, partial derivatives, multiple integrals, and elements of vector calculus. Prereq: A C- or better in MATH 180. MATH 190 strongly recommended.

MATH 220 LINEAR ALGEBRA - 5 hrs
Systems of linear equations, vector spaces, matrices, determinants, eigenvalues, eigenvectors, linear transformations, and applications. Prereq: A C- or better in MATH 180.

MATH 230 STATISTICS I - 5 hrs
A study of descriptive statistics, the principles of probability, statistical distributions, sampling, the Central Limit Theorem, statistical inference, hypothesis testing, correlation, and regression analysis. Prereq: MATH 115 or 120.

MATH 231 STATISTICS II - 5 hrs
A continuation of MATH 230. Emphasis on data analysis with simple and multiple linear regression, correlation, and analysis of variance. Statistical computer packages are used for data analysis. Prereq: A C- or better in MATH 230.

MATH 260 DECISION MAKING FOR BUSINESS - 5 hrs
A study of operations research techniques for use in decision making. Includes linear programming, queuing theory, time series and other applications. Prereq: MATH 230.

MATH 270 MATHEMATICS FOR EARLY AND MIDDLE CHILDHOOD EDUCATION - 5 hrs
A study of the mathematical notions central to a comprehensive, connected study of early into middle childhood mathematics education, grounded in state and national standards. The focus is on mathematical content: development of the real number system, probability and statistics, geometry, measurement, patterning and algebra, and estimation and mental computation. Methodology and materials appropriate for the mathematical development of children will also be discussed. For education majors and licensure candidates only. Prereq: MATH 150.

MATH 271 MATHEMATICS FOR THE MIDDLE GRADES - 3 hrs
A continuation of MATH 270, focusing on the mathematical content and methodology in the middle grades. Particular emphasis will be placed on connections among and integration of the various mathematical strands (number and operations, geometry, measurement, probability and statistics), especially involving algebra. For education majors and licensure candidates only. Prereq: MATH 270.

MATH 280 AXIOMATICS BY INQUIRY - 3 hrs
Focusing on the systemic structure of geometry, students investigate problems and properties from a scientific perspective. With the aid of technology and other tools, students will use the inquiry cycle (exploration, conjecture, data collection, analysis, reflection, and proof) to compare and contrast the basic principles that give rise to different geometries. Prereq: A C- or better in MATH 150.

MATH 290 TRANSITION TO ADVANCED MATHEMATICS - 3 hrs
Logic, axiomatic method, mathematical proofs, and formal set theory. Prereq: A C- or better in either MATH 190 or MATH 220.

MATH 300 MATHEMATICAL PROBLEM SOLVING SEMINAR - 1 hr
Through solving well-arranged, interesting and challenging problems in different areas of mathematics, students will enhance their mathematical maturity, will increase their repertoire of mathematical methodologies, will expand their ability, and will deepen their appreciation of the power, beauty and integrity of mathematics. Each time the course is offered it will focus on two or three specific techniques or topics. Graded pass/fail. The course may be repeated, however no more than 3 hours of this course may count toward a mathematics major and no more than 2 hours toward a mathematics minor. Prereq: A grade of B or better in MATH 180, or permission of the instructor.

MATH 310 PROBABILITY THEORY - 5 hrs
Calculus-based probability, samples, discrete and continuous distributions, and multivariate distributions. Prereq: MATH 200, 220 and 230.

MATH 311 MATHEMATICAL STATISTICS - 5 hrs (alt. yrs.)
A continuation of MATH 310. Sampling distributions, approximations, estimation, hypothesis testing. Prereq: MATH 310.

MATH 320 THEORY OF VECTOR SPACES - 3 hrs (alt. yrs.)
Finite and infinite dimensional vector spaces, linear operators with applications. Prereq: MATH 220 and 290.

MATH 330 COMPLEX VARIABLES - 5 hrs (alt. yrs.)
Complex numbers, analytic functions, integrals, series, residues and conformal mapping. Prereq: MATH 190, 200 and 220.

MATH 340 ADVANCED GEOMETRY - 5 hrs (alt. yrs.)
A general study of the structure of Euclidean and non-Euclidean geometries and their relationship to each other. Prereq: MATH 290.

MATH 350 ORDINARY DIFFERENTIAL EQUATIONS - 5 hrs (alt. yrs.)
Fundamental theory, first order differential equations, linear equations, series solutions, Laplace transforms, boundary value problems, nonlinear equations and stability. Prereq: MATH 190, 200 and 220.

MATH 360 REAL ANALYSIS - 3 hrs (alt. yrs.)
Structure and topology of real numbers, sequences, continuity, differentiation, Rie-mann integration, infinite series, power series, Riemann-Stieltjes integral. Prereq: MATH 190 and 290.

MATH 365 TOPOLOGY - 3 hrs (alt. yrs.)
Metric spaces, limits and continuity in metric spaces, general topological spaces, connectedness, completeness, compactness. Prereq: MATH 190 and 290.

MATH 370 OPERATIONS RESEARCH - 5 hrs (alt. yrs.)
Topics from deterministic and stochastic operations research: linear programming and other optimization methods including the simplex algorithm, duality, and sensitivity analysis; decision theory, queuing theory, Markov chains, and simulation. Prereq: MATH 220 and MATH 230.

MATH 380 ABSTRACT ALGEBRA - 5 hrs (alt. yrs.)
Theory of groups, homomorphisms, rings, integral domains, fields, and factorization. Prereq: MATH 290.

MATH 390 INDEPENDENT STUDY - 1-5 hrs
Independent study. Opportunity for work in topics of special interest.

MATH 420 ADVANCED STUDIES - 1-5 hrs
Topics not covered in the regular departmental offerings. May be repeated for credit. Taken by permission of the instructor.

MATH 435 HISTORY AND PHILISOPHY OF MATHEMATICS - 5 hrs
A survey of the history and philosophy of mathematics with holistic attention to its chronological evolution, conceptual development, and foundational structure. Mathematical landmarks from antiquity to present times will be examined and placed in historical context. Emphasis will be on the interrelationships between mathematics, culture, theology, philosophy, and science. Prereq: Senior standing mathematics major, or permission of instructors.

MATH 480 SENIOR RESEARCH - 1-4 hrs
Exploration of a topic in mathematics with faculty supervision over the course of the senior year. The research culminates in an expository paper and presentation of results (see MATH 481). All participating students and their advisors will meet at least once each quarter: in Autumn to share the focus, goals, and/or approach for each project; in Winter to discuss progress and common interests or concerns; and in Spring for presentation (see MATH 481). Students must register for a total of 4 credits of research over the span of the senior year. Prereq: Senior standing. May be repeated for a maximum of 4 credits.

MATH 481 SENIOR EXPOSITION - 1 hr
Culmination of the research done in MATH 480. Submission of expository paper and presentation of results. Prereq: MATH 480.

MATH 490 INTERNSHIP - 1-15 hrs

MATH 498 MATHEMATICS ASSESSMENT - 0 hrs
Students will complete the Mathematics Major Field Test (2 hour exam) prepared by the Educational Testing Service during their senior year. Each student will meet with her/his academic advisor to discuss results in relation to career goals. Prereq: Senior standing.