Department of Mathematics

Course Descriptions

BA in Mathematics

Mathematics

Comp. Sci. Option

BS in Mathematics

Elementary Education

Secondary Education

Catalog Descriptions

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MAT 098 Elementary Algebra 3 SH

First order linear equations, algebraic techniques including manipulation of algebraic expressions, solution of linear equations and inequalities, graphing of linear equations and applications. This course, which carries 3 load credits, carries no academic credit. The course does not satisfy the general education requirement in mathematics/computer science; it will be graded P/F only.

MAT 100 Intermediate Mathematics 3 SH

Manipulating and simplifying polynomials and rational expressions; algebraic techniques including solution of first and second degree algebraic equations and inequalities; solution of systems of equations and inequalities; graphing of linear equations and applications; exponential functions and logarithms. Three free elective credits will be earned; the course does not satisfy the General Education requirement in mathematics/computer science; it will be graded P/F only. Admission by successful completion of MAT 098 or placement testing.

MAT 105, 106 Foundations of Mathematics I & II 3 SH Each Sem.

A two-semester mathematics course designed for and required of students preparing to teach in the elementary schools. Topics to include number systems and their properties, problem-solving, geometry and measurement, probability and statistics, and applications. Assumes a background in mathematics that includes algebra and geometry. Prerequisite: MAT 100 or appropriate test score.

MAT 110 Great Ideas in Mathematics 3 SH

This is a survey course designed to acquaint the student with mathematical ideas not normally encountered at the precollege level. The course conveys something about the nature of mathematics - its methods, uses and roles in society - through an elementary treatment of topics such as rubber-sheet geometry, number theory, astronomy, modular arithmetic or art. Prerequisite: MAT 100 or appropriate test score.

MAT 115 Introduction to Biostatistics 3 SH

Primary focus is on statistical comprehension of the research aspects of current nursing, medical and other health-related literature through an understanding of statistics utilizing the computer. (Not open to students who have passed MAT 120.) Prerequisite: MAT 100 or appropriate test score.

MAT 118 Elementary Applied Mathematics 3 SH

Fundamental mathematical tools useful in the study of business and the social sciences, including matrices and polynomial calculus. Not open to students who have completed MAT 181 or MAT 135. Prerequisite: MAT 100 or appropriate test score.

MAT 120 Elementary Statistics 3 SH

An introduction to the practice of statistics that emphasizes elementary data analysis and inference. Topics include correlation, regression, probability models, estimations, hypothesis testing of various parameters and analysis of variance. Examples will be selected from many fields, such as anthropology, business, medicine, psychology, the natural sciences, sociology and education. Students will be expected to use appropriate computer software. (Not open to students who have passed MAT 115.) Prerequisite: MAT 100 or appropriate test score.

MAT 133 Precalculus 3 SH

The functions needed for the study of calculus are presented from a numerical, graphical and algebraic point of view. Polynomial, exponential, logarithmic and trigonometric functions are included. Graphics calculators are used throughout the course. Not open to students who have passed any calculus course. Prerequisite: MAT 100 or appropriate test score.

MAT 135 Concepts of Calculus 3 SH

A survey of fundamental concepts of calculus: limits, derivatives, integrals and applications pertaining to the study of business and the social sciences. Emphasis will be on concepts, not on theoretical treatment. Not open to students who have passed MAT 181. Prerequisite: MAT 100 or appropriate test score.

MAT 165 Introductory Discrete Mathematics 4 SH

An introduction to discrete structures and processes such as counting, algorithms, proof, induction and recursion through the study of logic, sets, relations and functions. Sufficient theory is introduced for applications to graph theory and elementary computer science. Prerequisite: MAT 133 or equivalent.

MAT 181 Calculus I 4 SH

An introduction to the two fundamental tools of calculus — derivatives and integrals—from algebraic, graphical and data-based points of view. Calculus is presented as a problem-solving tool with applications to the physical and social sciences. Graphing and symbolic-manipulating calculator and computer tools are used throughout the course. Prerequisite: MAT 133 or equivalent.

MAT 182 Calculus II 4 SH

An extension of the study begun in Calculus I with greater emphasis on differentiation and integration skills and techniques. Topics include methods of integration, approximating methods and an introduction to differential equations. Graphing and symbolic-manipulating calculator and computer tools are used throughout the course. Prerequisite: MAT 181.

MAT 211 The Mathematical Laboratory 3 SH

Topics will be selected from the background material for elementary and middle-school mathematics, including functions, measurement, geometry and problem-solving. Manipulative materials will be used throughout this course. Recent topics pulled from mathematical journals may also be included. Prerequisite: MAT 105 or 106.

MAT 220 Intermediate Statistics 3 SH

A second course in statistical methods that stresses analysis of multivariate data applications from social and natural sciences, business, health and medical sciences or education. Some familiarity with computers is assumed, since statistical software will be used throughout. Prerequisite: A first course in statistical methods, e.g., MAT 115, MAT 120, MIS 121, PSY 204. Odd spring semester.

MAT 242 Foundations of Geometry 3 SH

Elementary geometry, primarily from the point of view of transformations: postulates, isometries, congruence, similarity, triangles and circles, area and perimeter, informal three-space geometry. This course is designed for elementary education majors majoring in mathematics and for secondary education majors. Prerequisite: Junior standing in an education program or permission of instructor. Fall semester.

MAT 250 Mathematical Modeling 3 SH

This courses addresses the ways in which mathematics and mathematical thinking serve as a model for understanding real world phenomena. The purpose of this course is to prepare students to apply upper level mathematics to other problems outside the realm of mathematics. Students also learn how to incorporate mathematics in technical reports. Prerequisite: MAT 182.

MAT 251 Posing and Solving Problems in Mathematics 3 SH

Posing and solving problems is a course in heuristics, the art of inventing or discovering solutions to problems in the absence of routines that make those solutions readily attainable. General methods for discovering solutions to such problems will be presented. Prerequisite: MAT 182.

MAT 272 Introduction to Linear Algebra 3 SH

Topics will be selected from: systems of linear equations, vector spaces, basic operations for matrices, determinants, bilinear and quadratic functions and forms, linear transformations on a vector space, and others. Prerequisite: MAT 182.

MAT 281 Calculus III 4 SH

The study of multivariable and vector calculus, including partial derivatives, multiple integrals and applications. Emphasis on the graphical, numerical and algebraic points of view as developed in Calculus I and Calculus II will be continued. Prerequisite: MAT 182.

MAT 282 Ordinary Differential Equations 3 SH

The classification and techniques of solving differential equations–from algebraic, graphical, and data-based points of view. Modeling of problems that lead to differential equations from biological and physical sciences. Graphing and symbolic-manipulating computer tools are used throughout the course. Prerequisite: MAT 182.

MAT 298 Faculty Developed Study 1-4 SH

MAT 299 Student Developed Study 1-6 SH

MAT 342 Topics in Geometry 3 SH

The central theme of the course is the study of many different geometries, rather than a single geometry. The focus will be on those geometries that have been developed since 1800 with references back to the geometry of Euclid. Prerequisite: MAT 242 or permission of instructor. Spring semester.

MAT 351 Independent Study 3 SH

Designed for students who show above average ability and interest in mathematics. It allows the student to study advanced topics not included in the standard course offerings. Approval of Mathematics Department is required.

MAT 356 Introduction to Operations Research 4 SH

This course includes topics in classical optimization, linear programming, probabilistic simulation and the network analysis. These techniques are applied to mathematical problems in business and society. Theoretical aspects of problems are considered, aided by computer use. Prerequisites: CS 143 or CS 170, MAT 182. Odd fall semester.

MAT 358 Introduction to Theory of Computation 3 SH

Basic theoretical principles embodied in formal languages, automata and computability. Prerequisites: MAT 181, MAT 163 or MAT 165, and either CS 143 or CS 170. Even spring semester.

MAT 363 History of Mathematics 3 SH

A survey of the historical development of mathematics designed to help students develop their own philosophy of mathematics as well as their answer to the question, “What is mathematics?” Prerequisite: MAT 182. Even spring semester.

MAT 381 Advanced Calculus 3 SH

Topics selected to enhance the student’s understanding of analysis: point set topology, metric spaces, continuity, integration theory, uniform convergence, power series. Prerequisite: MAT 281. Even fall semester.

MAT 382 Complex Variables 3 SH

Continuity, differentiability, analyticity, line integration and power series within the context of the complex number system. Residues and poles, conformal mapping, analytic continuation and most of the well-known classical theorems associated with the theory of complex variables. Prerequisite: MAT 381. Odd spring semester.

MAT 400 Applied Mathematics 3 SH

This course will investigate the applications of mathematics to areas of human endeavor where quantification is possible. The mathematical descriptions so obtained may then be used to predict future states, make logical choices and obtain a deeper understanding of the systems and phenomena under study. Differential equations and other mathematical skills will be used to investigate topics in the natural and behavioral sciences. Prerequisite: MAT 282.

MAT 410, 411 Mathematical Statistics I & II 3 SH Each Sem.

A two-semester course that introduces the major distributions used in classical statistics, e.g., binomial, normal and chi square, and develops the mathematical theory basic to an understanding of them. Estimation theory, hypothesis testing, regression analysis and analysis of variance will be presented, and applications will be given. Prerequisites: MAT 120; MAT 281 for MAT 410; MAT 410 for MAT 411.

MAT 416 Introduction to Abstract Algebra 3 SH

This course deals with the mapping operation and relations of sets, as well as other axiomatic treatment of numbers. It includes some study of groups, integral domains and fields. Prerequisite: MAT 281. Fall semester.

MAT 431-432 Numerical Analysis I & II 3 SH Each Sem.

The study of numerical methods associated with systems of linear equations, eigenvalues, polynomial and transcendental equations, and solutions of differential equations; the theory of interpolation and functional approximation; techniques of numerical differentiation and integration. Also included are the topics of least squares and nonlinear functional optimization, the analysis of types of errors, and computational speed. Compute implementation of numerical methods will be emphasized throughout the course. Prerequisite: MAT 272 for MAT 431; MAT 431 for 432.

MAT 449 Teaching Mathematics in the Secondary Schools 3 SH

This course will emphasize the methods and materials needed to become an effective teacher of Mathematics at the secondary school level.  A brief review of basic areas of instruction will accompany practice lessons and units.  Teacher candidates will study methods and modes of instruction as well as technological aids and common assessment methods.  The course will also include an examination of the current curricular reform movements and their impact on mathematics education in the secondary school, the implications of State, National, and International Tests and State and National Standards.  Prerequisite:  Admission to Secondary Teacher Education Program.

MAT 481-482 Wavelet Analysis I & II 3 SH Each Sem.

A basic introduction to wavelet transformation and related mathematics with application of signal processing, data compression digital communication, and wavelet-based diagnosis. Wavelet Analysis II will continue with more advanced topics in wavelet transformations, with applications in image analysis, object-oriented wavelet analysis using appropriate computer software, and numerical solutions of differential equations.