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# Description of Mathematics

MATH 0120 STRUCTURES OF
MATHEMATICAL SYSTEMS 3

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.
(F-A/E) (SP-A/E)

MATH 0121 STRUCTURE OF
MATHEMATICAL SYSTEMS II 3

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

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. (F-A/E) (SP-A/E)

MATH 0136 FINITE MATH 4

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. (F-E) (SP-A)

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. (F-OD-A) (SP-EV-A) (F-EV-E)

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.
(F-OD-E) (SP-EV-A)

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. Non-euclidean geometry is also introduced. (F-E) (SP-A)

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, anti-derivatives, and indefinite and definite integrals.
(F-EV-E) (F-OD-A) (SP-EV-A) (SP-OD-A)

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. (F-A) (SP-E)

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. (F-EV-A) (SP-EV-E) (SP-OD-A)

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.
(F-EV-E) (F-OD-A) (SP-EV-E) (SP-OD-A)

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. (F-EV-E) (F-OD-A)

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 .
(SP-EV-E) (F-OD-A)

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. (F-EV-A) (SP-OD-E)

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. (F-EV-A)

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 .
(SP-EV-A) (SP-OD-E)

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. (SP-OD-A)

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 0401   ADVANCED 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.
(F-OD-E) (SP-EV-E)

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. (SP-OD-E)

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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