Mathematics Courses
Introductory | Analysis | Applied | Foundations | Advanced

Introductory Classes

099 Developmental Mathematics. Topics include the real number system, basic operations, fractions, signed numbers, factoring, exponents, roots, decimals, percent and proportion, topics from plane geometry and an introduction to algebra. Emphasis is on development of arithmetic skills and mastery of basic algebraic concepts. Use of the mathematics laboratory is required. College credit only; hours will not count toward graduation requirements.

100 Mathematics for the Liberal Arts (MATHEMATICS BASIC SKILLS). Covers the following topics: problem solving; sets; logic (truth tables and symbols); probability (counting techniques and expected value); statistics (measure of central tendency and normal curve); consumer mathematics (percentage, interest, installment buying and annuities); primes, composites, LCM and GCD; and graphing linear equations. Does not satisfy the prerequisite for further mathematics courses.

101 Intermediate Algebra. Fundamental operations with algebraic expressions, linear and quadratic equations, graphs, systems of equations, applications and functions.

103 Fundamentals of Modern Mathematics I. An introduction to problem solving, logic, set theory, number systems, operations, number theory and algorithms.

113 Fundamentals of Modern Mathematics II. An introduction to probability and statistics, geometry, measurement and the use of mathematical methods, tools, and technology.

115 Pre-Calculus Mathematics. An introduction to the theory of functions related to exponential, logarithmic, rational, polynomial and trigonometric functions. Theorems on rational and complex zeros of polynomials and systems of linear equations.


Analysis Classes top

135, 205, 215 Calculus and Analytic Geometry I, II, & III. Topics in analytic geometry, limits, continuity, differentiation, integration, polar coordinates and curves, transcendental functions, parametric equations and functions in parametric form, vectors and vector functions, infinite series, partial derivatives, multiple integrals and applications.

305 Differential Equations. Solutions of various types of ordinary differential equations, linear equations with constant coefficients, Laplace Transform, systems of equations and series solutions.

405 Real Analysis. Theory of functions of a real variable; sequences and series, limits, continuity, derivatives, the Riemann integral and other topics. Students will be required to research a mathematical topic approved by the instructor, with a formal presentation to be given to members of the mathematics department and the campus community.


Applied Classes top

104 Finite Mathematics. An introduction to systems of linear equations, matrix theory, linear programming, set theory, logic, probability, and other topics.

204 Elementary Statistics. An introduction to the basic principles of statistics, computation of statistics, probability distributions, estimation, confidence intervals, hypothesis testing, and correlation and regression.

216 Discrete Mathematics. An introduction to Boolean algebra, combinatorics, graph theory, recursion, set theory and trees.

304 Theory of Probability. Descriptive statistics, probability and counting techniques, discrete and continuous distributions, moment generating functions, multivariate and conditional distributions, the correlation coefficient and least squares regression.

314 Theory of Mathematical Statistics. Sampling theory, point and interval estimation, order statistics, tests of hypothesis, nonparametric methods, statistical quality control and experimental design.

324. Numerical Analysis (3). An introduction to numerical analysis in finding roots of polynomials, polynomial approximation, finite difference calculus, summation calculus and selected topics in computer programming. (Prerequisite: Mathematics 205; Mathematics 303 recommended.) Fall ''09.


Foundations Classes top

303 Linear Algebra and Matrices. Matrices, determinants, systems of linear equations, vector spaces, linear transformations, eigenvectors and eigenvalues.

313 Abstract Algebra. An introduction to the theory of groups, rings and fields.

323 Geometry. A survey of topics in geometry including historical topics, elements of logic, foundations in Euclidian geometry and introduction to non-Euclidian geometry using the hyperbolic model. This course emphasizes different methods of proof.

403 Number Theory. Divisibility, primes, congruences, multiplicative functions, primitive roots, quadratic residues, quadratic reciprocity and other topics. Students will be required to research a mathematical topic approved by the instructor, with a formal presentation to be given to members of the mathematics department and the campus community.


Advanced and Special Classes top

199 Exploratory Internship.

220 History of Mathematics. A survey of major developments in mathematics from ancient through modern times, with emphasis placed on individuals who made significant contributions to the discipline.

299 Experimental Course.

309 Topics in Mathematics. Topics of interest to faculty and students. Sample topics include, but are not limited to, numerical analysis, graph theory, advanced discrete math, advanced multivariable calculus, partial differential equations, history of mathematics. May be repeated for credit if the topic is different. Offered as needed.

399 Professional Internship.

410 Advanced Topics in Mathematics. Advanced topics of interest to faculty and students. Sample topics include, but are not limited to, complex analysis, topology, operations research, advanced topics in linear algebra, abstract algebra, geometry and statistics. May be repeated for credit if the topics is different. Offered as needed.

420 Capstone: Mathematics. Students will deepen their understanding of the content of core undergraduate matematics courses while investigating the relevance of mathematics to other fields of study. Among those instruments used to assess student performance will be a written report. An oral presentation is also required.

451 Independent Study. Advanced topics for students planning further study in mathematics.

499 Advanced Experimental Course.