Introduction to Algebra is designed to prepare students to be successful in MA 101 (Intermediate Algebra). Topics include whole numbers, integers, fractions and mixed numbers, decimals, ratios and proportions, percents, algebraic expressions, linear equations and the rectangular coordinate system. Students also learn to graph one- and two-variable equations. The real-life application of each topic will be emphasized through the course.
This course presents the real number system and its properties, linear equations and inequalities and their graphs, systems of equations and inequalities and their application in problem solving, polynomials and rational expressions, and radical equations. Prerequisite: MA 100 or placement via ALEKS Placement Exam
This course is a functional approach to Algebra that incorporates the use of appropriate technology. Emphasis will be placed on the study of functions and their graphs including linear, quadratic, piecewise, rational, exponential and logarithmic, systems of equations and inequalities and matrices. Real world applications of each will be emphasized. Prerequisite: MA 101 or placement via ALEKS Placement Exam
This course is designed to help students build foundational problem solving and reasoning skills that they can apply in various aspects of everyday life. Topics include: logic, finance, consumer math, probability, basic statistical and algebraic concepts, and various other applied topics in math. This course is best suited for students who are either pursuing a major in a non-math related field or who are pursuing a major that does not require a math course as part of its core requirements. Prerequisite: MA100 or placement via ALEKS Placement Exam
The precalculus course is designed to provide students with a solid foundation in mathematical concepts and skills necessary for success in calculus and other advanced math courses. It covers topics such as functions, algebraic expressions, trigonometry, and analytic geometry. Students will learn to analyze and solve mathematical problems using a variety of techniques and tools. This course aims to develop critical thinking, problem-solving, and analytical skills while fostering a deep understanding of mathematical concepts. Prerequisites: MA 101 or placement via ALEKS Placement Assessment
This course is designed to develop the topics of differential and integral calculus. Topics covered include limits, continuity, derivatives and integrals of algebraic and transcendental functions of one variable. Emphasis will be placed on selecting and using appropriate models and techniques for finding solutions to derivative-related problems with and without technology. Prerequisites: Successful completion of MA 204 or placement via ALEKS Placement Assessment.
The course deepens understanding of the material and applications learned in MA 205. Topics covered include applications of the definite integral to area, volume, arc length and surface area, and developing additional integration techniques including integration by parts, trigonometric integrals and substitution, partial fractions and numerical methods. Sequences introduced as series are examined using the nth term, integral, comparison, ratio and root tests for convergence. Power series and Taylor and MacLaurin series are introduced. Calculus techniques are applied to parametric and polar equations. Prerequisite: Successful completion of MA 205.
This course provides the theoretical basis and problem-solving experience needed to apply the techniques of descriptive and inferential statistics, to analyze quantitative data, and to improve decision making over a wide range of areas. Topics covered include descriptive statistics, linear regression, data gathering methodologies and probability, as well as confidence intervals and hypothesis testing for one and two samples. Use of technology in solving and interpreting statistical problems is emphasized. Prerequisite: MA 101 or placement via ALEKS Placement Assessment
This course examines the mathematical structures that are fundamentally discrete, and it serves as a bridge from calculus to abstract mathematics. Topics included are sets, relations, functions, induction and other methods of proof, recursion, combinatorics, graph theory and algorithms. Emphasis is placed on proof and applying discrete mathematics to real world problems. Prerequisites: Successful completion of MA 205 .
This course examines systems of linear equations, matrices, determinants, and vectors to motivate the study of linear spaces. Theory and applications are used to explore vector spaces, subspaces, inner product spaces, linear transformations, eigenvalues, eigenvectors, and orthogonality. Prerequisites: Successful completion of MA 315.
The focus of this course is on the historical development and perspectives of mathematics including contributions of significant figures and diverse cultures. The course provides an overview of mathematical history from the earliest counting methods to mathematics today. Mathematical topics typically taught in the secondary classroom will be studied in detail for students to develop the historical context and foundational knowledge necessary to become a successful mathematics educator. Prerequisites: Junior or above standing
This course examines counting methods from basic to advanced, including recurrence relations, generating functions, and the Principle of Inclusion-Exclusion. The study of relations, including equivalence relations, elements of graph theory, including graph coloring, and applications of trees, including minimal spanning trees, will also be studied. Prerequisites: Successful completion of MA 315.
This course provides an overview of the field of Geometry by studying applications of Euclidean Geometry using Geogebra as a visualization and verification tool. Emphasis will be placed on building competency in proof. Prerequisite: Successful completion of MA 315.
Abstract Algebra is the study of the basic underlying structures that occur in mathematical systems. This course introduces the basic ideas and applications of group theory. Elementary properties of groups and functional relationships between groups are studied including cyclic, permutation and symmetric groups, cosets (including Lagrange’s theorem), subgroups and normal subgroups, homomorphisms, isomorphisms and abelian groups. Prerequisite: Successful completion of both MA 315 and MA 320.
This capstone course is designed as a culminating experience for pre-service and in-service secondary mathematics teachers. Students will connect the undergraduate mathematics curriculum to the secondary mathematics curriculum through collaboration, exploration and activities. Emphasis will be placed on developing effective mathematics teaching strategies, researching current mathematics teaching theory and using technology to enhance learning. Prerequisites: Junior or above standing.