UNDERGRADUATE
COURSES
MATH 090 INTERMEDIATE ALGEBRA (3:1:4)
This course covers topics from basic algebra, solutions of first degree equations and inequalities, graphing of polynomial functions, polynomial functions, polynomial algebra, solutions to linear systems of equations, exponential and logarithmic expressions. Credits may not be used toward the 128 hours required for graduation.
MATH 100 GE: NUMBERS SETS AND STRUCTURES (3:3:0)
This course presents mathematics as a deductive science which starts with empirical observations but goes beyond the level of simple, unrelated facts. Search for patterns and, when discovered, justification of them is the essence of this course. Similarities and differences between structures of numbers, sets, and some algebraic objects are discussed. Does not apply toward the Mathematics major. Prerequisite: MATH 090 or 3 units of high school mathematics including
Algebra 1 and Geometry.
MATH 101 GE: EXCURSIONS IN MATHEMATICS (3:3:0)
This introductory course deals with selected topics in contemporary mathematics applied to the social and natural sciences. Topics include voting and weighted systems, fair division, apportionment, game theory, Euler circuits, the Traveling Salesman Problem, minimum networks, scheduling, linear programming, types of growth, measurement, symmetry and patterns, collecting and describing data, elementary probability and inference. Does not apply to the Mathematics Major. Prerequisite: MATH 090 or three units of high school mathematics including Algebra I.
MATH 105 MATHEMATICAL PROBLEM SOLVING FOR ELEMENTARY EDUCATION MAJORS (3:3:0)
This course is designed to give elementary education majors experiences in being independent solvers of mathematical problems while giving them the mathematical foundation for early mathematics. Concepts in elementary education including sets, whole, integer, rational, real, and complex numbers are covered. Prerequisite: MATH 090 or three units of high school mathematics including Algebra I.
MATH 110 GE: GENERAL STATISTICS (3:3:0)
This course deals with the collection and presentation of data, frequency distributions, measures of central tendency and dispersion, elementary probability, randomness, expectations, significance testing on large and small samples, correlation, regression, introduction to analysis of variance, and other common statistical methods. Does not apply toward Mathematics major. Prerequisite: MATH 090 or three units of high school mathematics including Algebra 1.
MATH 130 GE: APPLIED ALGEBRAIC METHODS (3:3:0)
This course introduces students to mathematical modeling using linear, exponential, and power functions and systems of equations. Algebraic and geometric techniques are developed. Applications to the life, social, and management sciences include linear programming and difference equations. Does not apply toward the Mathematics major. Prerequisite: MATH 090 or three years of college preparatory high school mathematics including Algebra I and Geometry.
MATH 131 GE: APPLIED CALCULUS (3:3:0)
A one semester introduction to the techniques of differential and integral calculus, this course will concentrate on the application of these techniques in the life and social sciences. Does not apply toward the mathematics major. Prerequisite: MATH 130 with a grade of C or higher.
MATH 135 GE PRE-CALCULUS (3:3:0)
This course is designed to prepare students for calculus. Topics include equations, inequalities, functions and their graphs, polynomial, rational, exponential, logarithmic, and trigonometric functions. Prerequisites: College preparatory mathematics including Algebra 2 and Geometry and an appropriate score on the mathematics placement test.
MATH 140 GE: CALCULUS 1 (4:4:0)
Together with Calculus 2 and Multivariate Calculus, the basic concepts and applications of elementary analysis are covered. Calculus 1 topics include functions, continuity, the derivative and its applications, and an introduction to the definite integral. Prerequisites: MATH 135 with a grade of C or better, or four units of college preparatory mathematics including Algebra 2, Geometry, and Trigonometry and a satisfactory score on the Calculus Readiness Test.
MATH 141 GE: CALCULUS 2 (4:4:0)
The concept of the integral is developed in detail. Techniques of integration, applications of the integral, and an introduction to differential equations are covered. Also, infinite series of numbers and functions are used to illustrate approximation theory. Prerequisite: MATH 140 with a grade of C or higher.
MATH 150 GE: MATHEMATICS AND WESTERN CIVILIZATION (3:3:0)
This course examines mathematics as a cultural force in Western civilization. Some of the relationships of mathematics to philosophy, economics, politics, art, and the natural sciences will be considered. Emphasis will be placed on how mathematical solutions were obtained for human problems.
MATH 205 GEOMETRY FOR ELEMENTARY EDUCATION MAJORS (3:3:0)
This course is designed to give Elementary Education majors experiences in being independent solvers of mathematical problems while giving them the mathematical foundation for early mathematics. Topics include probability, geometry, and geometric systems. Prerequisite: MATH 105; Early Childhood or Elementary Education major.
MATH 220 DISCRETE MATHEMATICAL STRUCTURES (3:3:0)
This course introduces some basic concepts of finite algebraic structures. Topics covered include logic, sets, induction, matrices, order relations, Boolean algebras, semigroups, and groups. Prerequisite: MATH 140.
MATH 240 MULTIVARIATE CALCULUS (4:4:0)
This course develops calculus of several variables. Topics covered include vectors, functions of many variables and their derivatives and integrals, optimization, parametric curves and surfaces, and applications. Prerequisite: MATH 141 with a grade of C or higher.
MATH 280 MATHEMATICS OF FINANCE (3:3:0)
This course consists of an introduction to the theory and mathematics of simple and compound interest with application to and emphasis on annuities, sinking funds, amortization, life insurance, stocks, bonds, and installment buying. Prerequisite: MATH 130.
MATH 290 SPECIAL TOPICS (Semester Hours Arranged)
These courses are designed to meet specific needs of groups of students or are offered on a trial basis in order to determine the demand for and value of introducing them as a part of the curriculum.
MATH 311 STATISTICS I (3:3:0)
This course gives a rigorous introduction to descriptive statistics, discrete and continuous probability distributions, sampling estimation, and hypothesis testing. Students cannot receive credit for both MATH 311 and MATH 110.
Prerequisite: MATH 141.
MATH 320 LINEAR ALGEBRA (3:3:0)
This course deals with the arithmetic of matrices, linear transformation of the plane, algebra of determinants with applications to the systems of linear equations, vector spaces, characteristic values and their application. Prerequisite: MATH 220.
MATH 325 INTRODUCTION TO MATHEMATICAL MODELING (3:3:0)
This course initiates the construction, analysis and research of real world mathematical models in order to promote creativity and emphasize ingenuity for finding reasonable solutions to open-ended problems, including experimentation and simulation. The study of theoretical model types is left for more advanced courses. Prerequisites: MATH 140, 141, 320; CPSC 111.
MATH 341 DIFFERENTIAL EQUATIONS (3:3:0)
This course examines solutions of first order differential equations, linear equations of higher order, numerical techniques of solution, power series methods, LaPlace transform, and applications. Prerequisite: MATH 240 or permission of instructor.
MATH 351 MODERN GEOMETRY (3:3:0)
Problem solving in geometry will be the main focus of this course. Three types of problems are studied. The first will be straightedge and compass constructions from Euclidean Geometry. The next will develop the Newton-Poincare model of Lobachevskian Geometry. The third will be isometries of the Euclidean plane. Prerequisite: MATH 220.
MATH 360 INTRODUCTION TO COMBINATORICS (3:3:0)
This course introduces the basic techniques and modes of reasoning of combinatorial problem-solving. Topics covered include elementary counting principles, permutations and combinations, the inclusion/exclusion principle, recurrence relations, basic properties of graphs and digraphs, trees, graph coloring, and Eulerian and Hamiltonian circuits. Prerequisite: MATH 220.
MATH 411 STATISTICS II (3:3:0)
The mathematical properties of the sampling distributions of statistics will be investigated to develop criteria for precise estimation, powerful hypothesis testing, and assessing the robustness of model assumptions. Emphasis will be placed on the classical methods associated with the normal distribution and to the analysis of real data with linear models. Standard software packages will be used. Prerequisite: MATH 141 & 311
MATH 420 NUMBER THEORY (3:3:0)
This course deals with the study of the divisibility properties of integers, the theory of congruences, continued fractions, linear diophantine equation in one variable and more than one variable, algebraic number fields, and rings of algebraic integers. Prerequisite: 12 hours of college mathematics.
MATH 421 ABSTRACT ALGEBRA I (3:3:0)
This course will introduce the students to the basic algebraic structures, including groups, rings, and fields. Prerequisites: MATH 220, 240.
MATH 422 ABSTRACT ALGEBRA II (3:3:0)
A continuation of MATH 421, this course will cover the structure of abelian groups, the Sylow Theorem, polynomial rings and unique factorization, algebraic extension fields, finite fields, and Galois Theory. Prerequisite: MATH 421.
MATH 430 HISTORY OF MATHEMATICS (3:3:0)
This course studies the biographies of leading mathematicians and their contributions to mathematics, the historical development of subject-matter fields of mathematics, and the role that mathematics has played in the development of civilization. Prerequisite: 12 hours of college mathematics.
MATH 440 REAL ANALYSIS I (3:3:0)
This course introduces students to the basic analytical structures of the real number and functions, including limits, sequences, series, topology, and continuity. Prerequisites: MATH 220, 240.
MATH 441 REAL ANALYSIS II (3:3:0)
A continuation of MATH 440, this course will cover differentiation, integration, sequences and series of functions and additional topics such as Fourier series, metric spaces, and approximation. Prerequisite: MATH 440.
MATH 470 NUMERICAL METHODS I (3:3:0)
This course will develop the numerical algorithms and error estimates for finding roots, solving equations, and curve fitting. The emphasis is on algorithms with good error characteristics and reduction of round off error. Prerequisites: MATH 240, 320; CPSC 111 or 211.
MATH 480 OPERATIONS RESEARCH (3:3:0)
This course gives an introduction to both deterministic and stochastic operations research. The covered topics will include the nature of operations research, linear programming, project scheduling, dynamic programming, integer programming, queuing theory and stochastic simulation. Prerequisites: A grade of "C" or better in MATH 311 & 320.
MATH 485 INDEPENDENT STUDY (Semester Hours Arranged)
This experience is taken upon the initiative of a student who seeks to study with a knowledgeable faculty member in order to deepen a specific interest in a particular academic discipline.
MATH 499 STUDENT TEACHING INTERNSHIP (1:0:TBA)
This course is designed to provide the student with an opportunity to work with a faculty member in the student’s primary Arts and Sciences discipline during the student teaching experience. The course will enhance the student’s ability to understand and maximize the relationship between disciplinary subject matter and pedagogy.
GRADUATE COURSES
MATH 502 APPLIED
STATISTICS (3:3:0)
This course deals with the interpretation and application of elementary statistical techniques, and the solution of problems relative to correlation, inference, prediction, and analysis of variance.
MATH 516 BIOMETRY
(3:3:0)
This course deals with the application of various statistical techniques, chiefly the analysis of variance and methods of regression and correlation, to solving various problems in biology. Prerequisites: MATH 311 or MATH 502.
MATH 520 NUMBER THEORY
(3:3:0)
This course includes a consideration of the fundamental laws of integers, the linear Diophantine equation, the Euclidean algorithm, prime numbers, divisibility, congruences, the Theorems of Fermat and Wilson, primitive roots, and indices.
MATH 530 TRENDS IN
SECONDARY EDUCATION (3:3:0)
This course will examine current and proposed secondary mathematics curricula and models of teaching and learning mathematics. Major foci will be mathematical problem solving and integrating technology into the mathematics curriculum.
MATH 531 TEACHING
MATHEMATICS USING TECHNOLOGY (3:3:0)
Designed for in-service secondary mathematics teachers, this course will cover the use of graphing calculators, computer algebra and geometry systems, how to incorporate them into the classroom and how the availability of technology will change the mathematics that will be taught.
MATH 551
TRANSFORMATIONAL GEOMETRY (3:3:0)
Introductory transformational geometry for teachers of mathematics will be covered. The transformations are over the 2-Dim and 3-Dim extended Euclidean Spaces. The transformations will be classified and factored by their invariants. The computer software, Mathematicaä or similar software will be used to do the linear algebra. Applications will be made to computer graphics.
MATH 570 NUMERICAL
METHODS I (3:3:0)
This course will develop the numerical algorithms and error estimates for finding roots, solving equations and curve fitting. The emphasis is on algorithms with good error characteristics and reduction of round off error. Prerequisites: MATH 320, MATH 240, and CPSC 111 or CPSC 211.
MATH 571 NUMERICAL
METHODS II (3:3:0)
This course is a continuation of the Numerical Methods I and deals with algorithms for interpolation, differentiation, integration, ODE and foreign values.
MATH 577 INDEPENDENT
STUDY IN MATHEMATICS (SEMESTER HOURS ARRANGED)
Under the guidance of a qualified faculty member, the student pursues a program of readings, study, and research related to professional knowledge and understanding in Mathematics. Topics should be established prior to enrollment. Prerequisite: Permission of the chairperson of the Department of Mathematics.