2007-2008 Academic Catalog

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Mathematics

MATH 095 Math Skills
1-3 hours per semester. Individually designed mathematical training to meet the needs and goals of any individual student. The extent of this training will be determined through a testing process. Topics covered include basic math, elementary algebra, and intermediate algebra. This course does not fulfill general education requirements. This course is pre-college level and carries no credit toward degree requirements.

MATH 150 The World of Mathematics
3 hours. An introduction to various topics of modern mathematics from an elementary point of view so as to be understandable to nonmathematics and nonscience majors and to foster an appreciation for the art, history, beauty, and applications of mathematics. Topics will be covered that allow students to do the mathematics involved without needing a strong mathematical background.

MATH 180 College Algebra
3 hours. An algebra course designed for students who have a good background in high school algebra and are prepared to cover the major topics of algebra in more depth and breadth. Applications of algebra will be emphasized in this course. This course does not serve as a prerequisite for the calculus sequence.
Prerequisite: high school algebra or equivalent.

MATH 190 Precalculus Mathematics
4 hours. A course for students who are preparing to take calculus or other courses requiring a similar background. In addition to studying the topics found in a college algebra course, this course will focus on trigonometry and an introduction to exponential and logarithmic functions.
Prerequisite: high school algebra or its equivalent. Students who have taken MATH 180 College Algebra may not take this course for credit.

MATH 201, 202 Calculus I, II
4 hours each semester. A study of differential and integral calculus for functions of one variable. Additional topics include polar coordinates, infinite series, and parametric equations.
Prerequisite: MATH 190 Precalculus Mathematics or equivalent.

MATH 211 Foundations of Elementary Mathematics I
4 hours. This course utilizes a constructivist approach to the fundamental ideas of elementary and middle school mathematics. This course focuses on elementary number theory, arithmetic operations, and algebra, and the NCTM process strands of problem solving, representation, and communication. Additional course fee is required.

MATH 212 Foundations of Elementary Mathematics II
4 hours. This course utilizes a constructivist approach to the fundamental ideas of elementary and middle school mathematics. This course focuses on geometry, measurement, data analysis, statistics, and probability, and the NCTM process strands of reasoning and proof and connections.
Prerequisite: MATH 211 Foundations of Elementary Mathematics I.

MATH 240 Statistical Procedures
3 hours. Offered 2007-08. An introduction to probability and statistics with content and application directed toward the natural and physical sciences. Topics to be covered include methods of describing data, probability, random variables and their distributions, estimation, hypothesis testing, linear regression, and correlation.
Prerequisite: MATH 180 College Algebra or equivalent.

MATH 260 Discrete Mathematics
3 hours. An introduction to discrete mathematics. Topics covered include sets, functions, math induction, combinatorics, recurrence, graph theory, trees, and networks.
Prerequisite: MATH 190 Precalculus Mathematics or equivalent.

MATH 290 Mathematical Logic
3 hours. Offered 2007-08. This course is intended to facilitate a smooth transition from lower-level, computation-oriented math courses to upper-level, more theoretical courses. Topics include symbolic logic, methods of proof, and set theory.
Prerequisite: MATH 201 Calculus I.

MATH 300 Numerical Methods
3 hours. Offered 2007-08. A study of numerical solutions of mathematical problems, including nonlinear equations, systems of linear equations, polynomial approximations, root finding, integration, and differential equations. Computer programs are written to solve these problems. (Identical to CSIS 300.)
Prerequisites: MATH 202 Calculus II and either CSIS 201 Introduction to Computer Science I or ENGR 152 Engineering Principles II.

MATH 301 Calculus III
3 hours. This course is an extension of MATH 201 and 202 Calculus I and II to functions of more than one variable. Topics include vectors, vector-valued functions, partial derivatives, and multiple integration.
Prerequisite: MATH 202 Calculus II.

MATH 310 Differential Equations with Linear Algebra
4 hours. A study of the theory, methods of solution, and applications of ordinary differential equations and the techniques of linear algebra necessary to accomplish that study.
Prerequisite: MATH 301 Calculus III.

MATH 320 Linear Algebra
3 hours. Offered 2008-09. A study of matrices and their properties and application, linear transformations, and vector spaces.
Prerequisites: MATH 310 Differential Equations with Linear Algebra.

MATH 331 Probability
3 hours. Offered 2007-08. A study of sample spaces, combinatorial methods, discrete and continuous distributions, moment-generating functions, and the central limit theorem.
Prerequisite: MATH 301 Calculus III.

MATH 332 Mathematical Statistics
3 hours. Offered 2007-08. A study of statistical methods - including estimators, confidence intervals, tests of statistical hypotheses, and correlation analyses - from a theoretical point of view, including applications.
Prerequisite: MATH 331 Probability.

MATH 340 Number Theory
3 hours. Offered 2008-09. An introduction to the basic properties of whole numbers, including such topics as prime numbers, Euclid's algorithm, Fermat's Theorem, congruences, and Diophantine equations. The course will emphasize historical development of the relevant topics.
Prerequisites: MATH 202 Calculus II and MATH 290 Mathematical Logic.

MATH 350 Modern Geometry
3 hours. Offered 2008-09. A rigorous study of Euclidean geometry and an introduction to non-Euclidean geometries.
Prerequisites: MATH 202 Calculus II and MATH 290 Mathematical Logic.

MATH 410 Algebraic Structures
3 hours. Offered 2007-08. A study of groups, rings, integral domains, fields, polynomial rings, and algebraic number systems.
Prerequisites: MATH 202 Calculus II and MATH 290 Mathematical Logic.

MATH 420 Real Analysis
3 hours. Offered 2008-09. An introduction to the fundamental concepts in real analysis including limits, continuity, sequences, series, differentiation, and integration.
Prerequisites: MATH 290 Mathematical Logic and MATH 301 Calculus III.

MATH 485 Selected Topics
1-3 hours. A class with topics in mathematics chosen to fit special needs or interests of students, faculty, or visiting professors.
Prerequisite: consent of the instructor.

MATH 490 Senior Seminar
2 hours. Offered 2008-09. A seminar for junior and senior math majors to explore current topics selected by the instructor. Emphasis will be placed on significant student involvement in the classroom.
Prerequisite: junior or senior standing.

MATH 495 Special Study
1-3 hours. Independent study of mathematical topics outside the regular offerings. Topics include advanced calculus, mathematical statistics, topology, real and complex analysis, and others. For upper-division mathematics majors only, by permission.