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Description of Mathematics
MATH 0120 STRUCTURES
OF
MATHEMATICAL SYSTEMS 3
Prequisite: BASK 0038
This course deals with the study of mathematical systems. Among the topics
included are: symbolic logic, sets, whole
numbers, integers, systems of numeration , number theory and the rational and
real number systems.
(FA/E) (SPA/E)
MATH 0121 STRUCTURE
OF
MATHEMATICAL SYSTEMS II 3
Prequisite: BASK 0038
This course deals with the study of the geometrical mathematical systems and
topics from basic probability and statistics. Introductory algebraic techniques
for solving linear equations , handling literal equations, and representing the
results with graphs will also be discussed.
MATH 0135 COLLEGE ALGEBRA 4
Prequisite: BASK 0038
The topics that will be covered in this course are: Graphs of equations,
functions and their graphs, polynomial and rational functions, Exponential and
Logarithmic functions, the Conics, Systems of equations, matrix algebra,
sequences, counting techniques and probability. (FA/E) (SPA/E)
MATH 0136 FINITE MATH 4
Prequisite: BASK 0038
Required of all students majoring in Information Sciences and Computer
Technology Degree Options. The topics that will be covered in this course are:
linear equations and their applications, matrix algebra, linear programming,
systems of equations and their applications, logic, sets, counting techniques,
basic concepts of probability and statistics, mathematics of finance and
Markov’s Chains. (FE) (SPA)
MATH 0140 TRIGONOMETRY
(Formerly MATH 0217) 3
Among the topics included in this course are: trigonometric functions, angle
measurements, solutions of triangles, trigonometric identities, circular
functions, and trigonometric equations. (FODA) (SPEVA) (FEVE)
MATH 0150 INTRODUCTION TO STATISTICS AND PROBABILITY 3
Prerequisite: MATH 0135
This course includes a general introduction to descriptive and inferential
statistics and covers such topics as: discrete and continuous random variables,
frequency distribution , measures of central tendency and measures of dispersion,
hypothesis testing and confidence limits, analysis of variance, regression
analysis, and contingency tables.
(FODE) (SPEVA)
MATH 0160 CONCEPTS OF GEOMETRY 3
Prerequisite: MATH 0135
Two dimensional Euclidean geometry from a selected set of postulates is studied
together with its historical development and philosophical implications. Noneuclidean
geometry is also introduced. (FE) (SPA)
MATH 0170 CALCULUS
AND ANALYTIC
GEOMETRY I 5
Among the topics of this course are the basic concepts of analytic geometry,
functions, limits, continuity, differentiation, differentials, applications,
antiderivatives, and indefinite and definite integrals.
(FEVE) (FODA) (SPEVA) (SPODA)
MATH 0201 DISCRETE MATHEMATICS 3
Prerequisite: MATH 0135
This course is intended to provide an introduction to many of the discrete
mathematics topics so useful to the computer scientist, the manager of
information systems and the mathematician who will be using computers. These
topics include characteristics of the number system , sets and logic, relations
and functions, vectors and matrices, and graph theory. These topics should be a
part of the knowledge base of any student minoring in the management of
information science. (FA) (SPE)
MATH 0203 APPLIED
CALCULUS
FOR BUSINESS MAJORS 3
Prerequisite: MATH 0135 OR MATH 0136
Introduction to elementary analytic geometry, functions, graphs, differential
and integral calculus with applications to various areas including business and
economics. Secondary Mathematics Majors cannot take this course for credit
toward MATH 0170. (FEVA) (SPEVE) (SPODA)
MATH 0204 BOOLEAN
ALGEBRA
(Formerly MIS 301
Computer Math I) 3
This course is structured primarily to meet the need of Information Science
and Computer Technology students specializing in Information Science and
Computer Technology. In addition, it provides the teacher of mathematics with
increased practice in proving mathematical statements and following the logic of
a Boolean system. The course deals with the study of basic computer mathematics
such as binary number systems, Boolean algebra, computer logic and gates. In
particular the course provides the students with the opportunity to learn about
simple digital circuits such as adder and subtractor.
(FEVE) (FODA) (SPEVE) (SPODA)
MATH 0240 FOUNDATIONS
OF
ADVANCED MATHEMATICS 3
This is a transition course between calculus and upper level components of the
curriculum. The course emphasizes how to read and write proofs in mathematics
and guides students through some of the basic language and notation of
mathematics. (FEVE) (FODA)
MATH 0241 CALCULUS
AND ANALYTIC
GEOMETRY II 5
Prerequisite: MATH 0170 (or its equivalent )
This course continues the study of definite and indefinite integrals, and
analytic geometry started in MATH0170. Among the topics are differential and
integral calculus with transcendental functions, parametric representations,
polar coordinates , and methods of integration .
(SPEVE) (FODA)
MATH 0242 CALCULUS
AND ANALYTIC
GEOMETRY III 5
Prerequisite: MATH 0170 and MATH 0241
(or their equivalents)
This course continues the study of concepts introduced in MATH 0170 and MATH
0241. Among the topics covered are: infinite series, partial differentiation,
multiple integration and vectors. (FEVA) (SPODE)
MATH 0310 ELEMENTARY
THEORY
OF NUMBERS 3
Prerequisite: MATH 0240
The topics to be considered in this course are: congruence relation, modular
arithmetic, tests for divisibility, and solution of linear Diophantine
equations. (FEVA)
MATH 0320 INTRODUCTION
TO
MODERN ALGEBRA 3
Prerequisite: MATH 0240
This course introduces the student to modern algebraic concepts and structures
such as mapping, sets, relations, binary operations, integers, arithmetic
groups, rings, integral domains and fields of real and complex numbers .
(SPEVA) (SPODE)
MATH 0321 ABSTRACT ALGEBRA 3
Prerequisite: Grade of C or better in MATH 0320
This course extends the concepts of Modern Algebra with emphasis on proof of
theorems in the construction for the real number system. A more rigorous
consideration of groups, rings, and field properties will be conducted.
MATH 0325 FUNCTIONS
OF A
COMPLEX VARIABLE 3
Prerequisite: Grade of C or better in MATH 0320
or MATH 0170
This course extends the concepts and properties of functions of real variable to
functions of complex variable. The topics to be covered include complex numbers,
elementary functions of a complex variable, limits, differentiability, and
integrability of complex valued functions.
MATH 0327 INTRODUCTION
TO
TOPOLOGY 3
Prerequisite: Grade of C or better in MATH 0170, MATH 0242
& MATH 0321. Completion of Calculus III should be a prerequisite.
This course will concentrate on the study of properties preserved by
homeomorphisms . The concepts of open set, continuity, and metric space will be
introduced and extended.
MATH 0330 CONTINUOUS
PROBABILITY
DISTRIBUTIONS 3
Prerequisite: Grade of C or better in MATH 170
and MATH 0150
The discrete techniques of Probability and Statistics will be extended to handle
continuous probability distributions. Calculus I will be a prerequisite since
its techniques will be necessary tools in the study of these distributions.
MATH 0370 INTRODUCTION
TO THE
HISTORY OF MATHEMATICS 3
Prerequisite: MATH 0170
In this course, the significant ideas in the development of elementary
mathematics within an historical setting are studied. (SPODA)
MATH 0400 MATHEMATICAL
MODELING 3
Prerequisite: MATH 0241
This course will introduce the student to applying mathematics in formulating
and analyzing models for real world problems. Topics to be covered include
difference and differential equations, graph models, the modeling process,
modeling using proportionality, model fitting, optimization, empirical model
construction and modeling dynamic behavior.
MATH 0401ADVANCED CALCULUS 3
Prerequisite: MATH 0170, MATH 0241, MATH 0242, & MATH 0321
This course will contain a rigorous review of the concepts of elementary
calculus. An extension will then be made to consider functions. Emphasis will
tend to be on theory rather than application.
MATH 0402 NUMERICAL ANALYSIS 3
Prerequisite: Grade of C or better in
Math 0170, and Math 0242
This course will deal with numerical analysis theorems, error analysis, data
approximation, differential calculus and numerical solutions of differential
equations.
MATH 0456 INTRODUCTION
TO
LINEAR ALGEBRA 3
Prerequisite: MATH 0170
This course deals with operations on matrices, determinants, systems of linear
equations, finite dimensional vector spaces, linear transformations, and inner
products.
(FODE) (SPEVE)
MATH 0461 DIFFERENTIAL EQUATIONS 3
Prerequisite: MATH 0170 and MATH 0456
This course will introduce the student to methods of solution of ordinary
differential equations of first and second order, linear with constant
coefficients, power series and applications of differential equations. (SPODE)
NOTE: From time to time, other courses are offered on TOPICS of current interest. These are in addition to the core of courses identified above.
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