MATHEMATICS COURSE DESCRIPTIONS

MATH 095.  INTRODUCTORY MATHEMATICS 
This is a skill-building course for freshmen designed as a preparatory approach to algebra.  A general overview of basic Mathematics is included to strengthen the student’s background of fundamentals.  Topics include:  order of operations, factoring, polynomials, equations solving and problem solving.

MATH 100.  INTRODUCTION  TO MATHEMATICS 
The course will provide an introduction to the mathematics field and training in the presentation and discussion of current mathematical problems, time management, and study skills.  Invited guests will speak on trends in mathematics, and the requirements for graduate and professional careers.  The course is designed for freshmen and sophomore students who intend to major in Mathematics. The course is offered each semester.

MATH 118.  COLLEGE MATHEMATICS
This course is a study of the fundamental concepts of the real number system, sets, integers, exponents, rational expressions, radicals, roots, polynomials, linear equations and inequalities, and applications.  This course serves as prerequisite to either MATH 151 or MATH 161, according to major but it does not count towards fulfillment of degree requirements.  (Prerequisite:   MATH 095 or ACT score of 15-17)

MATH 151.  COLLEGE ALGEBRA
This course is designed for students, who are not required to take calculus.  It is a study of real numbers, equations, inequalities, linear, quadratic, polynomial, exponential, and logarithmic functions and their graphs.  Emphasis is placed on applications of algebra in natural sciences and social sciences.  A graphing calculator is required.  (Prerequisite:  MATH 118 or ACT score of 18-20)

MATH 161.  PRE-CALCULUS
This is a course designed for students anticipating enrollment in calculus.  It is a study of real numbers and their properties, operations with complex numbers, equations, inequalities, polynomials, rational, exponential, logarithmic functions and their graphs.  Emphasis is placed on applications of algebra in natural sciences and social sciences.  A graphing calculator is required.  (Prerequisite:  MATH 118 or ACT score of 21 or better)

MATH 162.  TRIGONOMETRY 
This course is a study of trigonometry of right and oblique triangles with applications, trigonometry functions of general angles and their graphs, and trigonometric identities and equations.  (Prerequisites:  MATH 118 and 161)

MATH 210.   MATHEMATICS FOR  TEACHERS
This course is a study of number properties, operations, computation, geometric properties and relationships, data collection and organization.  Emphasis will be placed on estimation, exploration, and problem solving.

MATH 220.  COLLEGE GEOMETRY
This course is a study of sets of points, line segments, congruence, linear and angular measure, area and volume, similarity, Pythagorean Theorem, and coordinates geometry.  It is an introduction to trigonometry and spherical geometry taught from an informal standpoint to develop geometric intuition and insight.

MATH 232.  FINITE MATHEMATICS
This course is a study of sets and logic, Boolean algebra, linear programming, vectors, matrices and probability with applications to biological and social sciences.  (Prerequisite:  MATH 161 or MATH 151).

MATH 242.   SURVEY OF GEOMETRY
This course is designed for prospective high school and middle school mathematics teachers and science majors.  This course consists of Euclidean geometry, (axiomatic system) such as theory of transversal and harmonic division.  Non-Euclidian geometry and application that describe and model mathematical ideas and real world constructs.  This course will measure the following abilities:  interpreting symbols and terms; demonstrating skills; applying concepts; extending concepts to unfamiliar situations; justifying statements and construct proofs; the ability to solve problems and applications.

MATH 250.  ELEMENTARY STATISTICS
This course includes the study of graphical representation, measures of central tendency, and dispersion of the normal curve, correlation, test hypotheses, and probability.  It is recommended for majors in the fields of biology, mathematics, social sciences, education and business.  (Prerequisites:  MATH 118 and MATH 151 or 161).

MATH 290.  CALCULUS I
This course is a study of functions, limits, continuity, differentiation, derivatives, graphs, tangents, extreme values, differentials, mean value theorems, and anti-derivatives.  (Prerequisites:  MATH 161 and 162).

MATH 291.  CALCULUS II
This course is a study of trigonometric, exponential and logarithmic functions, anti-derivatives and integration; curves, curvature and curvilinear motion; Taylor’s theorem; application of integration and sequences.  (Prerequisite:  MATH 290).

MATH 292.  CALCULUS III
This course is a study of Taylor's theorem; series, applications, differentiation and integration of functions of several variables.  It is an introduction to ordinary differential equations.  (Prerequisite:  MATH 291).

MATH 296 Fundamentals of Mathematics
This course is a study of proof techniques needed for more rigorous levels of mathematics logic and proofs, set theory, relations, functions, and concepts of analysis.  (Prerequisite: MATH 291)

MATH 340.  INTRODUCTION TO MODERN ALGEBRA
This course is a study of sets, groups, rings, integral domains, fields and polynomial rings.  (Prerequisites:  MATH 290 and consent of instructor).

MATH 350.  MATHEMATICAL STATISTICS
This course is a study of probability, measures of central tendency and generating functions and distributions of statistical inference.  (Prerequisites:  MATH 250 and 291).

MATH 360.  LINEAR ALGEBRA AND MATRICES
This course is a study of Vector spaces, matrices, linear transformations, determinants and linear equations.  Selected topics of eigen value, canonical forms, inner product spaces, bilinear and quadratic forms.  (Prerequisite:  MATH 290).

MATH 390.  ELEMENTARY DIFFERENTIAL EQUATIONS
This course is a study of equations of first order and higher degrees, general linear equations, the method of successive. .  (Prerequisite:  MATH 291)

MATH 392.  NUMERICAL ANALYSIS
This course is a study of interpolation, least squares theory, and harmonic analysis, numerical solutions of ordinary differential equations, and approximations through Fourier series.  (Prerequisite:  MATH 291)

MATH 395 Mathematical Modeling
This course is intended to introduce students to how to apply mathematics to construct, build and analyze models arising in various areas of application in the physical, biological and social sciences. Methods of modeling covered will include linearization, optimization, probability, and differential equations. (Prerequisite: MATH 250, 291, and 390.)

MATH 397. Introduction to Modern Geometry.

Calculus in Euclidean space; frame fields; geometry of surfaces and curves in R3; concepts in advanced Euclidean, projective, and non-Euclidean geometry. (Prerequisite: 292 and 360.)

MATH 400.  MATHEMATICS SEMINAR 
This course comprises research in algebra, analysis, geometry, or applied mathematics, involving individual projects.  (Prerequisite:  MATH 291)

MATH 401.  ADVANCED CALCULUS
This course includes advanced topics of calculus including vectors and vector calculus, linear approximations of vector valued functions, line integrals, surface integrals, theorems of Green’s and Stoker’s divergence theorem.  (Prerequisite:  MATH 292)

MATH 402.  REAL ANALYSIS
This course includes topics on limits, continuity limit superior and limit inferior, metric spaces, open and closed sets, Heine-Borel theorems.  (Prerequisite:  MATH 292)

MATH 403.  COMPUTER SOFTWARE APPLICATION IN MATHEMATICS
This course includes problem solving in Mathematics using appropriate contemporary software such as MATHCAD, MATHLAB, MAPLE, SPSS, Scientific Place, Mathematics, and Microsoft Excel.  Problems solved will include, but not limited to, Algebra, Calculus, Linear Algebra, Statistics, and Mathematical Modeling.  (Prerequisite:  Consent of the instructor)

MATH 450.  SPECIAL TOPICS
This course is designed to deal with a topic(s) selected from such fields of mathematics as: Algebra, Analysis, Probability, and Mathematical Logic at each offering.  It may be taken for credit more than once.  (Prerequisite:  Consent of the instructor)

MATH 455.  ELEMENTARY NUMBER THEORY
This course is an introductory study of number theory.  Topics include Divisibility, Congruencies, Quadratic Reciprocity, Numerical Functions, Diophantine Equations, simple continued fractions, and indices.  (Prerequisite:  Consent of the instructor)

MATH 460.  COMPLEX VARIABLES
This course is an introduction to complex analysis for students interested in applied mathematics and physical sciences.  The fundamentals and the applications of analytical function theory are studied. (Prerequisite:  Consent of instructor)

MATH 470.  Introduction to General Topology
Set theory; abstract topological spaces; relative topology and subspaces; continuous functions; metric and normed spaces; product spaces; quotient spaces; compactness and connectedness; separation axioms. (Prerequisite: Math 292 and 295.)