Mathematics

This course was designed for students to master their fraction, decimal, ratio and proportion skills. The course is divided into two modules where the first module is fractions and the second is decimal, ratio, and proportion. In order for a student to successfully complete the course, they must receive a grade of 80 or higher. No credit awarded if student has already received credit for MAT 105 or higher.

This course was designed for students to master their percents and signed numbers skills. The course is divided into two modules where the first module is percents and the second is signed numbers. In order for a student to successfully complete the course, they must receive a grade of 80 or higher. No credit awarded if student has already received credit for MAT 105 or higher.

This course was designed for students to master solving equations and graphing linear equations. The course is divided into two modules where the first module is solving equations and the second is graphing linear equations. In order for a student to successfully complete the course, they must receive a grade of 80 or higher. No credit awarded if student has already received credit for MAT 105 or higher.

This course covers the fundamental concepts and operations of elementary algebra. Topics will include signed numbers, solving linear equations and inequalities, absolute value, exponents, polynomials, factoring, solving quadratic equation, rational expressions, and word problems. No credit awarded if student has already received credit for MAT 104 ABC or MAT 110 or higher.

Designed for the liberal arts major, this basic entry-level course emphasizes contemporary applications of mathematics. Students will learn significant mathematical concepts in the areas of management science, statistics, social choice, size, and growth, and computer science, and discover real-world examples of the concepts presented. Students cannot receive credit for both MAT 109 and MAT 110.

A topic course designed to give students not majoring in mathematics, science or technology an appreciation of mathematics and its use in problem solving. Topics will be chosen from introductory set theory, probability, statistics, algebra, geometry and trigonometry. Students cannot receive credit for both MAT 109 and MAT 110.

This course provides a mathematics treatment of the fundamental concepts of problem solving, reasoning, arithmetic, numeration systems, number theory, and developmentally appropriate strategies and activities as they relate to the elementary mathematics curriculum. This course is limited to childhood & early childhood/middle childhood education majors. 

An advanced algebra course designed with the essential concepts for precalculus and other courses in business and computer science. Topics such as linear equations, linear equations applications, inequalities, graphing linear equations, polynomials, exponents, factoring, rational expressions, radicals and complex numbers will be emphasized.

Designed as a pre-calculus course for those with an inadequate preparation for the calculus. Topics include: relations and functions, linear systems, quadratic equations, polynomial equations; exponential equations, logarithms, trigonometric functions and some analytic geometry. Technology will be an integral part of this course. Students who have successfully completed pre-calculus in high school cannot take MAT 113 for credit.

This course provides a mathematical treatment of the fundamental concepts of problem solving, reasoning, uncertainty, data analysis, technology, geometry, and developmentally appropriate strategies and activities as they relate to elementary mathematics curriculum. This course is limited to childhood & early childhood/middle childhood education majors. 

This course covers differential calculus. We begin with precalculus review incorporating parametric equations via an introduction to the computer algebra system Maple. The course covers the following topics: limits, continuity, derivatives (definition, properties, interpretation, techniques, and applications). Technology will be integrated throughout this course. Suggested preparation: four years of high school college preparatory mathematics or MAT
113.

This course covers integral calculus, with topics including: antidifferentiation and indefinite integrals, Riemann sums and definite integrals, the Fundamental Theorem of Calculus, integration by substitution, applications, techniques of integration, numerical integration techniques and error bounds, improper integrals. Polar coordinates and related calculus will be included as time allows. Technology will be integrated throughout this course.

The theories of the calculus of vector functions, partial differentiation, multiple integration and advanced infinite series are covered in this course. Technology will be integrated throughout this course.

This course is an introduction to the  procedural programming language available in Maple.  The topics focused on are programming concepts, such as expressions, data structures, looping and decision mechanisms, procedures, input and output, and  debugging.

Matrix algebra, matrix solution of systems of linear equations, determinants, linear transformations, characteristic vectors, and linear programming are among the topics discussed. A wide variety of applications in other fields such as economics and the natural sciences may be included. Technology will be integrated throughout this course.

Solutions of first and second-order differential equations with constant coefficients are discussed, along with additional methods taken from power series, systems of equations, and solution of elementary partial differential equations. Applications from chemistry, biology, physics, and economics are presented. Technology will be integrated throughout this course.

An introduction to foundational mathematics required by mathematics and computer science majors. Topics include logic, methods of proof, induction recursion relations, complexity of algorithms, Boolean algebra, and an introduction to languages, grammars, and finite-state machines.

An intuitive approach to the meaning of statistics as an interpretive tool, this course covers techniques of exploratory data analysis, probability distributions, normal distributions, statistical inference, hypothesis testing, linear regression and correlation, analysis of enumerative data, and an introduction to analysis of variance. Integrated into these topics will be an introduction to the use of computers. Suggested preparation: a beginning algebra course. Students who take this course cannot receive credit for PSY 207, PSYC 207 or ECO 215.

This course will bridge the gap between introductory courses such as Calculus I and II and the higher-level courses.  Its purpose is to develop facility at reading and writing correct formal mathematical reasoning.  Skills will be developed by exploring topics such as: sequences and series, logic and proof, set theory, relations and functions, and number theory.

This course covers combinatorial analysis, discrete and continuous probability theory, multivariate distributions, expectation covariants, correlation and central limit theorem.

This course covers sampling techniques, decision theory, estimation, hypothesis testing, regression and correlation, analysis of variance, linear models, nonparametric statistics, and design of experiments (time permitting).

Axiomatic foundations of Euclidean and other geometries, introduction to non-Euclidean geometries and their models, and transformations and other approaches to plane geometry will be studied.

This course will be a continuation of MAT 220, Applied Statistics I.  It will introduce parametric and non-parametric statistics, sampling, probability, advanced regression models, and multi-variate statistics.

This course is designed to give the student an introduction to the principles and practice of mathematical modeling. Emphasis will be placed on the entire problem-solving process, which includes: problem identification; model selection or design; model implementation and erification; model revision. Possible techniques include: linear systems of equations, difference equations, differential equations, matrix algebra, linear programming, dynamic programming,
Markov processes.  Particular emphasis will be placed on the use of differential equations. Throughout, students will be led to understand the scope and limitations of such models.

Students are expected to explore an advanced topic in mathematics and to prepare and present an individual paper/research report to the class. Topics vary from year to year.

This course examines the real line, including its elementary topology, sequences and convergence, limits, continuity and uniform continuity, theory of integration and infinite series.

Students will complete a project in an advanced topic in mathematics, preparing and presenting a paper.

Introduction to set theory, logic, and theory of numbers is followed by elementary group and ring theory with applications to polynomials and solution of polynomial equations.

An introduction to point set topology, including Euclidean space, homeomorphisms, compactness, connectedness, metrics and separation axioms.