2005-2006 Undergraduate Catalog

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Course Offerings

Mathematics

MATH 021  BASIC ALGEBRA.  This course prepares students for college level mathematics.  Topics generally include: basic properties of real numbers, exponents and radicals, rectangular coordinate geometry, solutions to linear and quadratic equations, inequalities, polynomials and factoring.  Students may also be introduced to functions and systems of equations.  Note: This is remedial level course and no credit for MATH 021 will be granted for graduation.  Prerequisite: Appropriate Mathematics Placement.             3

MATH 101  INTERMEDIATE ALGEBRA.  Basic properties of real numbers, linear equations and inequalities, quadratic equations, systems of equations, polynomials and factoring, rational expressions and equations, and radical expressions and equations, and an introduction to functions such as polynomial, exponential and logarithmic functions.  Credit for MATH 101 will not be granted to anyone who has previously received credit for MATH 102. Prerequisite: Appropriate Mathematics Placement.             3

MATH 102 COLLEGE ALGEBRA.   Equations and inequalities; polynomial functions and graphs; exponents, radicals, binomial theorem, zeros of polynomials; systems of equations; exponential, logarithmic, and inverse functions, applications and graphs.  Other topics selected from sequences, series, and complex numbers.  Prerequisite: MATH 101 or appropriate math placement.      3

MATH 103  CONTEMPORARY MATH.  An introduction to the ideas and uses of mathematics with special emphasis on contemporary applications. Selected topics from functions and graphs, data analysis, discrete mathematics, geometry, probability and statistics. Development of the abilities to think logically, solve problems, use technology, communicate mathematical ideas, and research technical information. This course satisfies the general education mathematics requirement but does not serve as a prerequisite for courses requiring MATH 102 College Algebra. Prerequisite: MATH 101 or appropriate math placement. 3

MATH 104  FINITE MATHEMATICS.  This course includes linear systems of equations, matrices, linear programming, mathematics of finance, probability, statistics and other topics. This course cannot be used as the prerequisite for courses requiring MATH 102. Prerequisite: MATH 101 or appropriate mathematics placement.                                                      4

MATH 112  QUANTITATIVE METHODS.  An introduction to applications of computer technology in the solution of mathematical problems involving mathematical modeling, statistics, data collection, data analysis and graphing. Prerequisite: MATH 102 or demonstration of required level of competency.   1

MATH 120  TRIGONOMETRY.  Topics include: trigonometric functions, equations, and identities; inverse trigonometric functions; exponential and logarithmic functions, and applications of these functions. Prerequisite: MATH 102 or appropriate math placement or consent of instructor.       3

MATH 121  SURVEY OF CALCULUS.   A survey of calculus including an intuitive approach to limits, continuity, differentiation, and integration with an emphasis on applications of the derivative and the integral as well as topics from multivariable calculus. Prerequisite: MATH 102 or appropriate math placement.                                                                       4

MATH 123  CALCULUS I.  The study of limits, continuity, derivatives, applications of the derivative, antiderivatives, and the definite and indefinite integral, and the fundamental theorem of calculus. Prerequisite: appropriate math placement or consent of instructor.         4

MATH 125  CALCULUS II.  A continuation of the study of calculus, including the study of sequences, series, polar coordinates, parametric equations, techniques of integration, applications of integration, indeterminate forms, and improper integrals.  Prerequisite: MATH 123.               4

MATH 201  INTRODUCTION TO APPLIED MATHEMATICS.  An introduction and overview of the basic skills, concepts, and applications encountered in more advanced mathematics courses. Topics to include recursion, elementary logic, matrix operations, linear programming, discrete probability, numerical methods, and applications. Prerequisite: MATH 102 or demonstration of required math competency.     3

MATH 225  CALCULUS III.  A continuation of the study of calculus, including an introduction to vectors, vector calculus, partial derivatives, and multiple integrals. Prerequisite: MATH 125.                 4

MATH 281  INTRODUCTION TO STATISTICS. A study of descriptive statistics including graphs, measures of central tendency and variability and an introductions to probability theory, sampling and techniques of statistical inference with an emphasis on statistical applications.  Prerequisite: MATH 102.  3

MATH 291  INDEPENDENT STUDY.  A student independently studies a mathematics topic with help from instructor.         1-5

MATH 292  TOPICS.  Topics of special interest in mathematics.          1-5

MATH 315  LINEAR ALGEBRA.  Course topics include: the theory and applications of systems of linear equations, matrices, determinants, vector spaces, linear transformations and applications. Prerequisite: MATH 225 or consent of instructor.              3

MATH/CSC 316  DISCRETE MATHEMATICS.  Selected topics from Boolean algebra, set theory, logic, functions and relations, difference equations, recurrence relations, application of algorithms, finite graphs, trees, paths and modeling.  Prerequisites: MATH 125 or consent of instructor.         3

MATH/CSC 318  ADVANCED DISCRETE MATHEMATICS.  An introduction to advanced discrete mathematics topics. Content to include topics such as proof techniques, graph theory, coding theory, and cryptology with an emphasis on computer applications. Prerequisite: MATH/CSC 316            3

MATH 321  DIFFERENTIAL EQUATIONS.  Selected topics from ordinary differential equations including development and applications of first order, higher order linear and systems of linear equations, general solutions and solutions to initial-value problems using matrices.  Additional topics may include Laplace transforms and power series solutions. Prerequisite: MATH 125.             3

MATH 341  MATHEMATICAL CONCEPTS FOR TEACHERS I.  An introduction to sets, numeration systems, arithmetic operations/algorithms, problem solving, and other topics.  This course does not satisfy the mathematics general education requirement nor any mathematics area requirements other than those for a degree in elementary education.  Prerequisite: MATH 102.
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MATH 342  MATHEMATICAL CONCEPTS FOR TEACHERS II. An introduction to geometry concepts, measurement, problem solving, probability, statistics, and other topics.  This course does not satisfy the mathematics general education requirement nor any mathematics area requirements other than those for a degree in elementary education.  Prerequisite: MATH 102 or MATH 341.      3

MATH 361  MODERN GEOMETRY.  In this course topics will be chosen from: axiomatic system, finite geometries, Euclidean plane geometry, transformational geometry, three dimensional geometry, and non-Euclidean geometries.  Prerequisite: MATH 125 or consent of instructor.         3

MATH 381  INTRODUCTION TO PROBABILITY AND STATISTICS.  Introduction to probability theory, discrete and continuous distributions, sampling distributions and the Central Limit Theorem with general principles for statistical inference and applications of random sampling to hypothesis testing, confidence limits, correlation, and regression. Prerequisites: MATH 125.                3

MATH 413  ABSTRACT ALGEBRA I.  Introduction to the theory and applications of algebraic structures including groups, rings, and fields. Prerequisite: MATH 315 or MATH 316 or  consent of instructor.              3

MATH 418  MATHEMATICAL MODELING.  Creating and using mathematical models for solving real world problems. Prerequisite: MATH 125 or MATH 315.                                                                3

MATH 471  NUMERICAL ANALYSIS I.  Analysis of rounding errors, numerical solutions of nonlinear equations, numerical differentiation, numerical integration, interpolation and approximation, numerical methods for solving linear systems.  Prerequisite: MATH 225          3

MATH 475  OPERATIONS RESEARCH.
An introductory overview of the field of operations research including topics from linear programming, simplex method, network models, nonlinear programming, game theory, Markov Chains, introduction to dynamic programming, queuing theory and simulation. Prerequisite: MATH 315 or MATH 281 and MATH 125 or consent of instructor.              3

MATH 491  INDEPENDENT STUDY.  A student independently studies a mathematics topic with help from instructor.         1-4

MATH 492  TOPICS.  Advanced topics of special interest in mathematics.           1-6

MATH 498  UNDERGRADUATE RESEARCH/SCHOLARSHIP.  An independent project involving integration of the student’s total academic experience in mathematics and technology. Prior application required.         1-6

 

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