Department of Mathematics Course Descriptions 

Overview
BA in Mathematics BS in Mathematics
Graduate Programs Catalog Descriptions 
MAT 100P Intermediate Mathematics Plus 4 SH First order linear equations, algebraic techniques including manipulation of algebraic expressions, solution of solution of first and second degree algebraic equations and inequalities, graphing of linear equations and applications. Conic sections and Logarithms. Four free credits will be earned, but they will not count towards graduation; the course does not satisfy the general education requirement in mathematics/computer science. In this course students will use an online adaptive learning technology to master the skills needed for a foundation in mathematics for further work in the field. Students will be required to attend classes regularly and an additional 2 hours of computer assisted work within the Emporium will also be required. This will be a selfpaced course but still afford students the opportunity to work with faculty on a onetoone basis, in addition to a lecture setting. This class format will allow the student to potentially complete the course at a pace quicker than the standard semester and fulfill the remedial requirement of the Board of Regents in one semester, instead of two. Prerequisite: Official placement (less than 500 SAT.) 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. Prerequisite: Official placement (500540 SAT) MAT 105, 106 Foundations of Mathematics I & II 4 SH Each Sem. A twosemester mathematics course designed for and required of students preparing to teach in the elementary schools. Topics to include number systems and their properties, problemsolving, 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 rubbersheet 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 healthrelated 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 127 Introduction to Cryptology 3 S When messages are sent over public media, such as the internet, there is a need to protect (encrypt) the information contained in those messages from unauthorized viewers. This course is an introduction to cryptology focusing on the mathematics used to encrypt and decrypt messages. Grade standard “A”“F.” Spring semester. Prerequisite: MAT 100, or appropriate test scores. General Education: Mathematics. 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 141 Foundational Discrete Mathematics 3 SH An indepth introduction to discrete structures and processes such as counting techniques, sequences, indexed summations, introductory propositional and predicate logic, introductory induction and recursion, sets, relations, functions, graph theory and connections among these topics. This course is prerequisite to MAT 207: Proofs. Prerequisite: B or better in MAT 100 or general education placement. MAT 150, 151 Mathematics Seminar I and II 0.5 SH During the first semester, faculty members will present a variety of accessible topics that demonstrate their individual interests and/or the broadness and diversity of the field of mathematics. In the second semester, students will not only hear lectures from mathematics faculty, but will also be responsible for preparing and presenting material. The seminar is required of first year math majors. Students may take each semester of the seminar a maximum of one time for credit. MAT 150, fall semester, MAT 151, spring semester. Prerequisite For MAT 150: declared major in mathematics or MAT 100 or general education mathematics placement. Prerequisite: For MAT 151: MAT 150; Grading: MAT 150, P/F; MAT 151, AF. May not be used toward general education mathematics requirement. May not be used toward mathematics elective credit. 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 170 Calculus I with Prealculus I 3 SH An introduction to the concept of a function and its derivative from algebraic, graphical, and databased points of view. The concentration in this course will be on linear, polynomial, and power functions. Appropriate technology will be used in this course. Knowledge and proficiency with algebra will be assumed. Grade standard “A”“F.” Every semester. Prerequisite: Grade of “B” or higher in MAT 100 or placement in general education math. General Education: Mathematics. MAT 171 Calculus I with Precalculus II 4 SH A continued exploration of the fundamental tools of calculus. This second course in a sequence introduces more functions and their derivatives, and also introduces integrals. There is a continued emphasis on graphical, algebraic and data based viewpoints. Appropriate technology will be used in this course. Knowledge and proficiency with algebra will be assumed. Grade standard “A”“F.” Every semester. Prerequisite: MAT 170. Satisfies mathematics general education requirement and counts as MAT 181 with regard to prerequisite in subsequent courses. General Education: Mathematics. MAT 181 Calculus I 4 SH An introduction to the two fundamental tools of calculus — derivatives and integrals—from algebraic, graphical and databased points of view. Calculus is presented as a problemsolving tool with applications to the physical and social sciences. Graphing and symbolicmanipulating 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 symbolicmanipulating calculator and computer tools are used throughout the course. Prerequisite: MAT 181. MAT 185 Introduction to Symbolic Computations 3 SH The course includes introduction to computer algebra, and selected computational algorithms appropriate for undergraduate level mathematics and their computer implementations. Emphasis is on practical computational skills in solving typical problems of undergraduate mathematics and visualization of fundamental mathematical concepts using a computer algebra system. Prerequisite: MAT 171 or MAT 181 and CS 140 or CS 143. MAT 207 Proofs 3 SH An introduction to the theory and practice of reading and writing mathematical proofs, using theorems and problems in number theory as a source of examples. Prerequisite: C or better in MAT 141: Foundational Discrete Mathematics MAT 211 The Mathematical Laboratory 3 SH Topics will be selected from the background material for elementary and middleschool mathematics, including functions, measurement, geometry and problemsolving. Manipulative materials will be used throughout this course. Recent topics pulled from mathematical journals may also be included. Prerequisite MAT 105 or 106. MAT 212 Mathematics in the Middle Grades 3 SH This course will focus on mathematical content and pedagogy related to the middle grades. It will include curricular connections from elementary to middle school level mathematics and from middle to secondary school level mathematics. Nationally recognized content and process standards will be incorporated throughout the course. Spring semester of oddnumbered years. Prerequisite: MAT 105 or MAT 106 or declared B.S. Math Secondary Education major with Sophomore standing. MAT 222 Introductory Statistics A rigorous introduction to the concepts and practice of statistics for math and science majors, with emphasis on developing statistical literacy through data analysis. This datadriven course will cover the following topics: descriptive and inferential statistics, sampling distributions, estimation, hypothesis testing, regression, correlation and analysis of variance. Statistical software will be used throughout the class. Prerequisite: C or better in MAT 181 or Mat 171 (either can be taken concurrently) 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 threespace 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 databased points of view. Modeling of problems that lead to differential equations from biological and physical sciences. Graphing and symbolicmanipulating computer tools are used throughout the course. Prerequisite: MAT 182. MAT 298 Faculty Developed Study 14 SH MAT 299 Student Developed Study 16 SH MAT 332 Introduction to Applied Mathematics 3 SH This course is an introduction to selected topics in areas of applied mathematics. The students will be exposed to models used to understand real world phenomena. Technology and written communication will be emphasized. Prerequisite: C or better in MAT 222 Introductory Statistics and MAT 272 Linear Algebra. 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 359 Introduction to Theory of Computation 3 SH Basic theoretical principles embodied in formal languages, automata and computability. Prerequisite: 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 375 Algebraic Structures 3 SH In order to have a proper foundational understanding of the numbers and algorithms we use every day one must have knowledge of groups, rings, and fields. This course will introduce the basic ideas in groups, rings, and fields. There will be particular emphasis on field extensions, factorization, and transformations. Students will learn about the fundamental algebraic structures behind the algorithms for arithmetic and polynomials. They will also understand how one number system is developed from another. Prerequisite: C or better in MAT 272: Linear Algebra 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 wellknown classical theorems associated with the theory of complex variables. Prerequisite: MAT 381. Odd spring semester. MAT 383 Introduction to Mathematical Analysis 3 SH This course is a first course in advanced calculus. Students are introduced to the theory of calculus of real valued functions. The course will focus on formal definitions and proof in analysis. Topics covered include limits, continuity, convergence, differentiation and integration. Prerequisites: MAT 207: Proofs and MAT 182: Calculus II. MAT 410 Mathematical Statistics I 3 SH A 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. MAT 431 Numerical Analysis I 3 SH 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. Prerequisites: MAT 272 for MAT 431. 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. Prerequisites: Admission to Secondary Teacher Education Program. MAT 467 Topics in Mathematics 3 SH This course is an opportunity for students to pursue in greater depth topics introduced in other courses or topics not included in other courses. The topic would vary from semester to semester. Typical topics might be mathematical models, combinatorics, field theory, algebraic topology, decision theory, harmonic analysis, wavelets, etc. Prerequisites: C or better in MAT 375, 383 or 332 as appropriate to the topic. May be repeated for credit with different topics. 
Modified 16 February, 2015 , DRB