Undergraduate Mathematics Courses

MAT 95   Elementary Algebra 
Linear equations, polynomials, straight lines, graphing, exponents, and word problems. Graphing calculator approved by the instructor is required. Credits count toward the calculation of the student's GPA but not toward graduation. 3 credits.

MAT 100   Intermediate Algebra
Solutions to linear equations and inequalities, polynomials, quadratic equations, exponential equations, graphing, rational and radical expressions, and functions. Graphing calculator approved by the instructor is required. Does not satisfy the University Requirement in mathematics. Prerequisite : C- or better in MAT 95 or appropriate mathematics placement. 3 credits.

MAT 102   Intermediate Algebra (Extended)
Solutions to linear equations and inequalities, polynomials, quadratic equations, exponential equations, graphing, rational and radical expressions, and functions. Graphing calculator approved by the instructor is required. Does not satisfy the University Requirement in mathematics. Prerequisite : MAT 95 or eligible for MAT 100 but wishing for a slow-paced course or appropriate mathematics placement. 3 credits.

MAT 103   Mathematics for Liberal Arts
Intended for the student whose major field of study requires no specific mathematical preparation. This course examines logical structures, patterns, and methods of abstraction as they occur in a variety of basic mathematical topics, such as set theory, number theory, algebraic structures, probability, and geometric axiom systems. Some historical aspects of mathematics are considered. Prerequisite: MAT 100 or 102, or appropriate mathematics placement. 3 credits.

MAT 105   Mathematics for Elementary Education I
Problem solving, mathematical reasoning, sets, whole numbers, numeration systems, number theory and integers. Required of all students in an elementary school certification program. Does not satisfy the Liberal Education Program Quantitative Reasoning requirement.  Prerequisite : MAT 100 or 102, or satisfactory score on the placement exam. 3 credits.

MAT 106   Mathematics for Elementary Education II
Geometry, measurement, rational numbers, irrational numbers, ratio, proportion, percent, problem solving, mathematical reasoning and connections, probability and statistics. Required of all students in an elementary school certification program. Prerequisite: "C-" or better in MAT 105. 3 credits.

MAT 107   Elementary Statistics
Topics include measures of central tendency and measures of variation; elements of probability; random variables; introduction to estimation and hypothesis testing; linear regression analysis. Graphing calculator approved by the instructor is required. Prerequisite: MAT 100 or MAT 102, or appropriate mathematics placement. 3 credits.

MAT 108   Mathematics for the Natural Sciences
Elementary mathematical modeling using linear functions, exponential functions, and power functions. Additional topics include logarithms, curve sketching, and curve fitting. Examples from the natural sciences. Graphing calculator approved by the instructor is required. Prerequisite: MAT 100 or MAT 102 with a grade C- or better, or appropriate mathematics placement. 3 credits.

MAT 120   College Algebra
Algebraic problem solving and quantitative reasoning skills needed for business and social science majors; equations and inequalities in one variable; linear, quadratic, exponential, and logarithmic functions; systems of linear equations in two variables. Graphing calculator approved by the instructor is required. Prerequisite: C- or better in MAT 100 or MAT 102, or appropriate mathematics placement. 3 credits.

MAT 122   Precalculus
Functions and their graphs, polynomial functions and their zeros, exponential and logarithmic functions, trigonometric functions, and analytic trigonometry. Function modeling of data and problems from the sciences. Graphing calculator approved by the instructor is required. Prerequisite: C- or better in MAT 100 or MAT 102, or appropriate mathematics placement. 4 credits.

MAT 124   Quantitative Mathematics
Elementary set theory, permutations and combinations, probability and probability functions, probability distributions, systems or linear equations and matrices, systems of linear inequalities. Applications in economics and business stressed. Prerequisite: MAT 120 or appropriate mathematics placement. 3 credits.

MAT 139   Short course in Calculus for Social Sciences
A one-semester course emphasizing techniques and applications for social science and business students; functions and models, the derivative, exponential and logarithmic functions, integration. Graphing calculator approved by the instructor is required. Prerequisite: C- or better in MAT 120 or MAT 122, or appropriate mathematics placement. 3 credits.

MAT 150   Calculus I
Functions, limits, differentiation of algebraic and trigonometric, exponential, and logarithmic functions with applications, indeterminate forms, elementary integrations, Reimann sums. Graphing calculator approved by the instructor is required. Prerequisite: C- or better in MAT 122, or appropriate mathematics placement. 4 credits.

MAT 151   Calculus II
Continuation of MAT 150. Calculus of inverse trigonometric functions, techniques, and applications of integration, numerical integration, improper integrals, integration with polar coordinates, parametric curves, infinite sequences and series, power series, Taylor's formula, vectors in two and three dimensions. Graphing calculator approved by the instructor is required. Prerequisite: C- or better in MAT 150. 4 credits.

MAT 178   Elementary Discrete Mathematics
Set theory, logic, methods of proof, relations and functions, mathematical induction, recursion, graph theory, and algorithms. Prerequisite: MAT 120 or 122, and one of CSC 102, 152. 3 credits.

MAT 221   Intermediate Applied Statistics
A treatment of statistics concentrating on techniques used in science and industry. Topics include probability, sampling distributions, estimation, hypothesis testing, regression analysis, and correlation. Use of appropriate calculator is required. Prerequisite: MAT 120 or 122 or appropriate mathematics placement. MAT 139 or 150 recommended. 4 credits.

MAT 245   Differential Equations
Study of ordinary differential equations. Thorough investigation of first order equations. Additionally second order linear equations with constant coefficients, systems of differential equations, Laplace transforms, and numerical methods. Prerequisite: C- or better in MAT 151. 3 credits.

MAT 250   Foundation of Mathematics : An Introduction
A bridge between the calculus and upper level mathematics courses. Logic, sets, relations, functions, methods of proof. Prerequisite: C- or better in MAT 151. 3 credits.

MAT 252   Calculus III
Continuation of MAT 151. Vector-valued functions, three dimensional geometry, functions of several variables, partial differentiation with applications, double and triple integrals with applications, vector calculus. Graphing calculator approved by the instructor is required. Prerequisite: C- or better in MAT 151. 4 credits.

MAT 260   Geometry and the Arts
The purpose of the course is to provide students with an adequate geometric background allowing them to understand basic Euclidean geometry. The course will enable students with basic tools for geometric reasoning and proof and will promote their geometric thinking skills. Throughout the course, students will explore and appreciate the use of geometry in the arts. They will identify, analyze, replicate and produce artwork using geometric transformations. Prerequisite for students in LEP: Tier 1-Critical Thinking and MAT 103 or higher. Prerequisite for students who are not in LEP: MAT 103 or higher. 3 credits.

MAT 298   Special Topics in Mathematics
Examination of developments, issues, and/or creative work in the field of mathematics. 1-6 credits.

MAT 300   History of Mathematics
History of mathematics from earliest days to the discovery of calculus, the proliferation of mathematics in modern times, and the implications of these developments for the present day. Prerequisite: MAT 139 or 150. 3 credits.

MAT 320   Probability and Statistics I
Introduction to probability and statistics, probability axioms, conditional probability, probability distributions, random variables, probability densities, multivariable distributions and densities, sampling distributions, central limit theorem, inferences concerning the mean, type I and type II errors, inferences concerning variances, estimation of variances, inferences concerning proportions, analysis of frequency tables, goodness of fit, regression. Prerequisite: C- or better in both MAT 250 and 252. 4 credits.

MAT 321   Mathematical Statistics
Mathematical development of sampling distributions, estimation of parameters, confidence intervals, hypothesis testing, introduction to nonparametric methods. Prerequisite: MAT 320. 3 credits.

MAT 322   Numerical Analysis I
Topics include approximate solutions of equatons, polynomial approximations of functions, interpolation, numerical integration and their corresponding techniques of error analysis. Computers and calculators are used. Prerequisites: CSC 152 and C- or better in MAT 151. 4 credits.

MAT 325   Design of Experiments
Fundamental concepts in the design of experiments; review of statistical inference, completely randomized designs, randomized block designs, Latin Square designs, factorial experiments, confounding, and fractional replications. Prerequisites: MAT 221 or MAT 320. 3 credits.

MAT 326   Regression Analysis
Model building and analysis focusing on regression. Topics include method of least squares, ANOVA, model assumptions, interferences about parameters, residual analysis, model adequacy, dummy variables, non-linear terms, pitfalls, and limitations. Prerequisites: MAT 320 or MAT 221. 3 credits.

MAT 360   Foundations of Geometry
Introduction to the geometries of Bolyai-Lobachevsky and Riemann and their mathematical significance, critique of Euclid, axiomatic approach to geometry with modern standards of rigor, introduction to metamathematics. Prerequisite: C- or better in MAT 250. 3 credits.

MAT 370   Number Thoery
Introduction to mathematical reasoning and rigor. Prime numbers, divisibility, the Fundamental Theorem of Arithmetic, congruencies, and modular arithmetic, fundamental number theoretic functions, and an introduction to Diophantine equations. Prerequisites: MAT 178 or 250. 3 credits.

MAT 372   Linear Algebra
Course emphasizes matrices, systems of linear equations, vector spaces, elementary properties of linear transformation, eigenvalues, and applications. Prerequisites: C- or better in MAT 150 and corequisite of MAT 151. 3 credits.

MAT 375   Abstract Algebra I
Introduction to the study of algebraic structures. Topics include binary operations, abstract groups, cyclic and permutation groups, homomorphisms, isomorphisms, normal subgroups, quotient groups, and a brief introduction to rings and fields. Prerequisites: C- or better in MAT 250 and C- or better in MAT 372. 3 credits.

MAT 376   Abstract Algebra II
Study of rings, and fields. Topics include rings, ideals, homomorphisms, polynomial rings, integral domains, divisibility, irreducibility criteria, field extensions, finite fields, geometric constructions and elements of Galois Theory. Prerequisite: MAT 375. 3 credits.

MAT 378   Discrete Mathematics
Rigorous introduction to the basic elements of discrete mathematics; recursion, combinatorics, and graph theory. Prerequisites: CSC 152, C- or better in MAT 151, and C- or better in MAT 250 or 178. 3 credits.

MAT 398   Special Topics in Mathematics
Examination of developments, issues and/or creative work in the field of mathematics. Prerequisite: departmental permission. 1-6 credits.

MAT 405   Elementary Mathematics from an Advanced Standpoint
An examination of the theoretical bases for fundamental mathematics topics which are normally taught in secondary school. Graphing calculator approved by the instructor is required. Prerequisites: junior or senior status and mathematics major. 3 credits.

MAT 450   Analysis
Theoretical foundations of functions of one real variable: limits, continuity, differentiability, Riemann integral. Prerequisite: C- or better in both MAT 250 and 252. 3 credits.

MAT 480   Topology
Metric spaces and fundamental concepts, topological spaces, subspaces and product spaces, countability properties, separation properties, compactness and connectedness. Prerequisites: C- or better in both MAT 250 and 372. 3 credits.

MAT 488   Seminar in Mathematical Modeling
The process of constructing and using mathematical models. Investigations focus on deterministic, probabilistic, and axiomatic models in the physical, social, and life sciences. Emphasis on independent work and on student written and oral presentations. Prerequisites: MAT 320, CSC 152, and C- or better in both MAT 252 and 372. 3 credits.

MAT 490   Teaching Mathematics in the Secondary School 
Methods of teaching mathematics grades 7-12. Lesson and unit planning, classroom management, learning styles, tasks, assessment, incorporating technology, state and national standards. This course has a required field experience component. For secondary certification candidates only. Prerequisite(s): Departmental permission. 3 credits.

MAT 494   Student Teaching--Mathematics
Guided observation and supervised student teaching in grades 7-12 in cooperating schools. Ten-week course. Prerequisite: MAT 490. 8 credits.

MAT 496   Service Learning for Mathematics Education 
Student teachers design, analyze, and reflect on teaching techniques to be used in the field. Student teachers also perform case studies that encompass and address various issues and demonstrate positive impact on the learning of their secondary students. This course is taken concurrently with MAT 494, Student Teaching (Mathematics). Prerequisite(s): Departmental permission. 3 credits.

MAT 497   Internship
A supervised internship offering practical business, industry or government experience which relates to the students specialization. Prerequisites: senior status in the B.S. degree program in Applications of Mathematics, mathematics GPA of 2.7, overall GPA of 2.5 and departmental permission. 10 to 20 hours per week. 3 to 6 credits.

MAT 498   Seminar in Mathematics
Student presentation of selected topics in advanced mathematics. Prerequisite: Departmental permission.  3 credits.

MAT 499  Independent Study
Provides properly qualified students with an opportunity for independent study and careful discussion from an advanced standpoint of selected topics in undergraduate mathematics. Prerequisite: departmental permission. 1-4 credits.