Courses For Spring 2004


Department of Mathematics/Computer Science

Courses for Mathematics

(Check current schedule for class availability)

MAT 098 : ALGEBRA I

PREREQUISITE: PLACEMENT AT THIS LEVEL OR ATTENDANCE IN A BASIC MATHEMATICS WORKSHOP.
Designed for students with no successful experience in the study of traditional algebra. The introduction of elementary algebra with selected topics from the usual first course in algebra.
Cannot be used for graduation credit.
3 Credits

MAT 098W : ELEMENTARY ALGEBRA W/WORKSHOP

ELEMENTARY ALGEBRA WITH WORKSHOP PREREQUISITE.

Placement at this level Topics include linear equations and inequalities in one and two variables, system of linear equations, exponents and polynomials, and factoring. In addtion, this course includes review of prealgebra topics such as working with fractions, decimals, percentages, and signed numbers. This course cannot be used for graduation credit.
4 Credits

MAT 101 : INTERMEDIATE ALGEBRA

PREREQUISITE : MAT 098 OR PLACEMENT AT THIS LEVEL
Note: Designed for students who have had only one year of high school algebra or who have had little success with second year high school algebra.
A functional approach to the real number system, higher degree equations and inequalities, functions and inverses, curve sketching, exponential and logarithmic functions, and analytical geometry.

This course does not fulfill the mathematics GER requirement
3 Credits

MAT 101W : INTERMEDIATE ALGEBRA W/WORKSHOP

PREREQUISITE : PLACEMENT AT THIS LEVEL.

A review of selected topics from Elementary and Intermediate Algebra. Additional topics include a functional approach to the real number system, higher degree equations and inequalities, functions and inverses, curve sketching, exponential and logarithmic functions, and analytical geometry. This course is four credits of which three will count towards graduation.

4 Credits

MAT 110 (CSC 110) : PROBLEM SOLVING WITH COMPUTERS

PREREQUISITE : MAT 101 OR EQUIVALENT: NOT OPEN TO STUDENTS WHO HAVE PASSED CSC 210
This course is for students with little or no programming experience. An introduction to problem solving using structured C++ as a vehicle.
3 Credits

MAT 130 : PRECALCULUS MATHEMATICS*

PREREQUISITE : MAT 101 OR PLACEMENT AT THIS LEVEL
A review of topics in algebra. An introduction to functions, inverse functions, exponential and logarithmic functions, trigonometry, analytic geometry.
4 Credits

MAT 135 : MATH FOR LIBERAL ARTS*

PREREQUISITE : MAT 101 OR PLACEMENT AT THIS LEVEL
Mathematics applied to solving practical problems in political science, sociology, ecology, geography, visual arts and geometry. Mathematical methods are used to examine how groups make voting decisions, achieve power, divide resources, resolve conflicts; to study landscape species patterns, economic and biological population growth, and artistic and mosaic patterns.
3 Credits

MAT 139 : NUMBER SYSTEMS*

PREREQUISITE : MAT 101 OR PLACEMENT AT THIS LEVEL
A problem-solving approach is used in the study of sets and number systems. The natural numbers are extended to the integers, rationals, and finally the reals. Topics include elementary number theory, non-decimal systems, numeration, and computational algorithms in the elementary school. The course is designed and intended for future elementary school teachers, emphasizing the content/method connection.
3 Credits

MAT 140 : SURVEY OF LOGIC, GEOMETRY, AND PROBABILITY*

PREREQUISITES : MAT 139
A thorough introduction to logic is followed by a "point-set" approach to geometry and measurement. Topics include truth tables, valid arguments, congruence and similarity, coordinate geometry, and an introduction to probability and statistics.
3 Credits

MAT 203 : STATISTICAL DECISIONS IN SOCIETY*

PREREQUISITE : MAT 101 OR PLACEMENT AT THIS LEVEL
Note:Students needing statistics as a practical tool should select MAT 216.
An examination of the nature and use of statistics in society. Emphasis is placed on careful analysis of data using graphs and numerical measures, and on the study of chance variation of sample averages and percentage. Students will draw inferences from real data sets.
3 Credits

MAT 205 (ECO 205) : MATHEMATICS FOR ECONOMICS AND BUSINESS ADMINISTRATION*

PREREQUISITES : ECO 200 and ECO 201; MAT 101
An introduction to matrix algebra and calculus, with applications to economic models, including static (equilibrium) analysis, comparative static analysis and optimization.
3 Credits

MAT 216 : STATISTICAL DATA ANALYSIS*

PREREQUISITE : MAT 101 OR PLACEMENT AT THIS LEVEL
Multidisciplinary, data-driven, technology-reliant course in applied statistics. Topics selected from exploratory data analysis (EDA), probability and statistical inference. Emphasis placed on interpretation and analysis of real-data sets. Students introduced to statistical computing software.
3 Credits

MAT 230 : DISCRETE STRUCTURES

PREREQUISITE : MAT 130 OR PLACEMENT AT THIS LEVEL
Introduction to set theory and logic, relations and functions, methods of proof.
3 Credits

MAT 243 : CALCULUS I WITH TECHNOLOGY*

PREREQUISITE : MAT 130 OR PLACEMENT AT THIS LEVEL
Study of limits, continuity, differentiation and integration.
4 Credits

MAT 244 : CALCULUS II WITH TECHNOLOGY

PREREQUISITES : MAT 243
Techniques of integration, trigonometric and inverse functions, parametric equations, infinite series.
4 Credits

MAT 300 : ABSTRACT ALGEBRA I

PREREQUISITES : MAT 230
Note: This course should be taken by students planning to do graduate study in computer science.
Introduction to algebraic systems, Boolean algebra, design of logic circuits, group theory, fundamental isomorphism theorems.
3 Credits

MAT 303: MATHEMATICS FOR POETS*

Note: PHI 120 is recommended.
The role of mathematics in Western civilization, examined through its contributions to philosophy, religion, music, art and aesthetics. The course is primarily non-computational, emphasizing the underlying nature of mathematics.
3 Credits

MAT 310: APPLIED LINEAR ALGEBRA

PREREQUISITES: MAT 230 AND MAT 243
Matrices and determinants, vector spaces, linear transformations, elgenvalues, and elgenvectors, with emphasis on applications.
3 Credits

MAT 315: APPLIED PROBABILITY AND STATISTICS

PREREQUISITES : MAT 244
3 Credits

MAT 316: MATHEMATICAL STATISTICS II

PREREQUISITES : MAT 315
Note: This course should be taken by students planning to do graduate study in computer science.
Application of probability to statistical inference, sampling distributions, estimation and hypothesis testing.
3 Credits

MAT 330: ABSTRACT ALGEBRA II

PREREQUISITES : MAT 300
Introduction to abstract structures to include commutative and non-commutative groups, rings, integral domains, fields.
3 Credits

MAT : 340 CALCULUS III

PREREQUISITES : MAT 244
Vector and multidimensional calculus; theory of limits.
3 Credits

MAT 341 : DIFFERENTIAL EQUATIONS

PREREQUISITES : MAT 244
Methods of solution of ordinary differential equations; applications in mathematics and science.
3 Credits

MAT 350 (CSC 350) : NUMERICAL ANALYSIS

PREREQUISITES : CSC 210 OR 231, MAT 244
Computer solution of problems of interpolation, approximation, numerical integration, polynomial and differential equations and systems of linear equations.
3 Credits

MAT 353 : INTRODUCTION TO WAVELET THEORY AND APPLICATIONS

PREREQUISITES: CSC 210 OR CSC 231 AND MAT 244
An introduction course to the most recently developed wavelet theory and applications by using real world examples and computer-assisted visualization. The primary audience is students with interests in engineering, applied mathematics and statistics.
3 Credits

MAT 360 : TOPICS IN MATHEMATICS

PREREQUISITES : CONSENT OF INSTRUCTOR
Note :Can be taken more than once for credit.
The treatment of special topics in mathematics and their adaptation in various types of mathematics problems. Emphasis is on the development of the basic concepts in each topic.
3 Credits

MAT 370 : OPERATIONS RESEARCH

PREREQUISITES : MAT 315, CSC 111 OR 131
Mathematical models, linear programming, queuing theory, computer simulation, game theory, and other topics as time permits.
3 Credits

MAT 375 (AST 375) : MATHEMATICAL ASTRONOMY AND ASTROPHYSICS

PREREQUISITES : MAT 340
Mathematical problems in cosmology, astrophysics, and celestial mechanics.
3 Credits

MAT 380 : GEOMETRY

PREREQUISITES : none
Development of both theoretical and practical concepts related to Euclidean and non-Euclidean geometry.
3 Credits

MAT 420 : REAL ANALYSIS I

PREREQUISITES : MAT 230 AND 244; RECOMMENDED MAT 300
A rigorous study of the real number system including equivalent formulations of the completeness axiom, limits, sequences, continuity, and uniform continuity.
3 Credits

MAT 421 : REAL ANALYSIS II

PREREQUISITES : MAT 420
A study of the theory of differentiation, infinite series, integration, uniform convergence, and metric spaces.
3 Credits

MAT 422 : ADVANCED TOPICS IN ANALYSIS

PREREQUISITES : MAT 420
Selections from the following : measure and integration, a rigorous introduction to the theory of probability, abstract spaces, and various kinds of differentiation.
3 Credits

MAT 430 : ABSTRACT ALGEBRA III

PREREQUISITES : MAT 330
Continuation of MAT 330. Emphasis will be on fields, field extensions, linear algebra.
3 Credits

MAT 440 : TOPOLOGY

CO-REQUISITE: MAT 420
A study of the basic notions of point-set topology, bases and sub-bases, continuity, topological equivalence, countability, separation axioms, compactness, product spaces, connectedness, completeness, and function spaces.
3 Credits

MAT 450 : COMPLEX VARIABLES

PREREQUISITE: MAT420
Complex numbers, analytic functions, integration and differentiation of functions of a complex variable. Cauchy's integral theorem, power series.
3 Credits

MAT 480 : INDEPENDENT STUDY

PREREQUISITES : APPROVAL OF DEPARTMENT CHAIRPERSON AND DEAN
3 Credits

MAT 490 : INTERNSHIP IN COLLEGE TEACHING

PREREQUISITES : CONSENT OF INSTRUCTOR
By invitation only. Can be taken more than once for credit. Graded on a credit/no credit basis.
2Credits