**Course Descriptions**

**MATHEMATICS** (MAT)

**MAT040 - Pre-Technical Mathematics*** Credits: 3*

Intended for students enrolled in engineering technology programs. Designed to provide the basic technical mathematics skills in preparation for MAT 111. Topics of algebra and trigonometry including roots, exponents, graphic and analytic solutions of linear equations, quadratic equations, with emphasis on application of principles as an engineering tool in problem-solving situations. This course does not apply toward graduation.

**MAT049 - Basic Arithmetic Skills*** Credits: 3*

Designed for those whose abilities to use numbers are limited. A basic review of arithmetic with concentration on numerical systems, addition, subtraction, multiplication and division is the focus of this course. Instructional approaches center on calculations and problem-solving with application to everyday living. This course does not apply toward graduation.

**MAT050 - Fundamentals of Arithmetic*** Credits: 3*

Designed to provide the student with basic computational skills; specifically addition, subtraction, multiplication, and division of whole numbers, fractions, and decimals. Additional course content includes a review of ratio and proportion, percents, English and Metric Systems of Measurement, and basic geometric concepts. A diagnostic test is administered at the beginning of the course to determine level of competency and at the end of the course to measure growth. Course materials may be programmed. This course does not apply toward graduation.

Prerequisite: Placement by exam or MAT 049 (Grade of C or better).

**MAT060 - Fundamentals of Algebra*** Credits: 3*

Designed to give the student mastery of specific skills in mathematics in preparation for MAT 105. Diagnostic testing is accomplished at the beginning of the course to determine level of competency and at the end of the course to measure growth. Course materials may be programmed. The student will review elementary algebra, including instruction in the real number system, polynomials, linear and quadratic equations, linear inequalities, and verbal problems (for application). This course does not apply toward graduation.

Prerequisite: Placement by exam or MAT 050 (Grade of C or better).

**MAT101 - Survey of Mathematics*** Credits: 3*

Intended to meet minimum college requirements in mathematics. Explores the role of mathematics in modern culture emphasizing techniques and applications in the social, natural, and management sciences, as well as those in technological fields. Topics studied include: number theory, set theory, logic, consumer math, geometry, graph theory, probability and statistics.

Prerequisites: Placement by exam or MAT 050 (Grade of C or better).

**MAT103 - Applied Mathematics for Industry*** Credits: 3*

Designed to help meet the mathematical needs of students enrolled in the industrial-mechanical technology or technical certification programs. Content includes fractions, decimals, percent, approximate numbers, conversion of linear units of measure, scientific notation, basic algebra, basic trigonometry of right triangle, ratios, powers and roots, and use of mathematical tables. Topics introduced and developed with emphasis on industrial application.

**MAT104 - Mathematics for the Hospitality Industry*** Credits: 3*

Designed to help meet the mathematical needs of students enrolled in Hospitality related programs. Content includes fractions, decimals, percents, approximate numbers, conversion of units of measure, basic algebra, ratios, the use of mathematical tables and hospitality production formulas. Topics introduced and developed with emphasis on hospitality application.

**MAT105 - Intermediate Algebra*** Credits: 3*

A mid-level algebra course which builds on the concepts of elementary algebra and prepares the student for College Algebra and/or Basic Statistics. Topics studied include: functions and their graphs, systems of equations, linear, quadratic and rational functions, and applications. A graphing calculator is required.

Prerequisite: Placement by exam or MAT 060 (Grade of C or better).

**MAT107 - Basic Statistics*** Credits: 3*

An introductory course in statistics beginning with descriptive statistics, probability, inferential statistics and decision-making. Binomial distributions, normal distributions, linear regression and correlation are applied to management, natural, and social sciences. A graphing caluculator is required.

Prerequisite: MAT 105 or placement by exam.

**MAT109 - Mathematics for Elementary Teachers I*** Credits: 3*

Explore sets, numeration systems, relations, functions, number theory, fractions, decimals, ratio, proportion and percent using a variety of problem-solving strategies.

Prerequisite: MAT 050 (Grade of C or better) or placement by exam

**MAT110 - Mathematics for Elementary Teachers II*** Credits: 3*

An introduction to algebra, probability and statistics, and geometry using a variety of problem-solving strategies.

Prerequisite: MAT 109 or placement by exam

**MAT111 - Technical Mathematics I*** Credits: 5*

Mathematics for technology. Topics include algebraic operations, exponents, radicals, rectangular coordinates, function graphs, system of equations, determinants, quadratic equation, trigonometry, polar coordinates, complex numbers, logarithms and the use of a scientific graphing calculator in solving applied technology problems.

Prerequisite: One year of secondary school algebra, or equivalent, or permission of the instructor.

**MAT112 - Technical Mathematics II*** Credits: 5*

Analysis of the geometry of lines and curves; interpretation of limits of a function; differentiation and integration as applied to graphs of functions and problems in technology.

Prerequisite: MAT 111.

**MAT121 - College Algebra*** Credits: 3*

An advanced course in Algebra. The course is designed as one of the

Prerequisites that prepares the student for Calculus. Topics studied include: linear, polynomial, rational, exponential and logarithmic functions and their graphs, equation solving and systems of equations. A graphing calculator is required.

Prerequisite: Placement by exam or MAT 105.

**MAT122 - Plane Trigonometry*** Credits: 3*

A college level course in trigonometry designed as one of the

Prerequisites that prepares a student for Calculus. Topics studied include: right triangle trigonometry, circular trigonometry, trigonometric functions and their graphs, identities, polar coordinate systems and applications. A graphing calculator is required.

Prerequisite: MAT 105 or MAT 121 or placement by exam.

**MAT125 - Pre-Calculus*** Credits: 5*

A course in advanced algebra and trigonometry designed to prepare students for calculus. Topics include functions, inverse functions, logarithms, exponentials, and trigonometry. A graphing calculator is required.

Prerequisite: Placement by exam or MAT 105.

**MAT140 - Calculus for Business and the Social Science*** Credits: 3*

A practical approach to Calculus that stresses applications to business and economics. Topics studied include: functions, modeling, rates of change, and applications of derivatives. A graphing calculator is required.

Prerequisite: Placement by exam or MAT 121.

**MAT151 - Analytic Geometry and Calculus I*** Credits: 4*

A first level College Calculus course. Topics studied include: limits, continuity, differentiation, and applications of the derivative. The course concludes with an introduction to anti-differentiation. A graphing calculator is required.

Prerequisites: MAT 121 and MAT 122 or MAT 125.

**MAT240 - Intro to Abstract Mathematics*** Credits: 3*

A course meant to serve as a bridge between computationally oriented mathematics and conceptually oriented mathematics, with emphasis placed upon understanding and constructing proofs. Topics include: symbolic logic, truth tables, logical equivalence, logical quantifiers, direct proof, proof by contrapositive, proof by contradiction, proof by cases, existence proof, mathematical induction, sets, set operations, indexed families of sets, Cartesian products, relations, functions, operations with functions, cardinality of sets.

Prerequisites: MAT 121

**MAT251 - Analytic Geometry and Calculus II*** Credits: 4*

A continuation of the topics from Calculus I including integration, and applications of integration and differentiation. Exponential, logarithmic and hyperbolic functions are studied. A graphing calculator is required.

Prerequisite: MAT 151.

**MAT252 - Analytic Geometry and Calculus III*** Credits: 4*

A continuation of Calculus I and II. Topics studied include: infinite sequences and series, vectors, functions of several variables, partial derivatives and multiple integration. A graphing calculator is required.

Prerequisite: MAT 251.

**MAT260 - Discrete Mathematics*** Credits: 3*

This course is intended to be an introduction to pure or abstract mathematics, especially as it applies to Computer Science. It is recommended for those majoring in Mathematics as an introduction to proof, analysis of algorithms, and the underlying logical structure of mathematics. It is a required course in the Computer Science curriculum and is recommended for all students interested in software and/ or computer engineering. Topics studied include logic, proofs, sets, relations, functions, algorithms, counting methods, probability, graph theory and trees.

Prerequisite: MAT 121.

**MAT275 - Linear Algebra*** Credits: 3*

A modern course in abstract algebra that gives the student opportunities to make indepth investigations in an advanced area of mathematics with widespread practical applications, but still allows work with abstract concepts. Topics studied include: linear systems and transformations, matrix theory and determinants, vector spaces, eigenvectors, eigenvalues, inner products, and their applications. A graphing calculator is required.

Prerequisite: MAT 251.

**MAT279 - Differential Equations*** Credits: 3*

Equations of the first order and linear equations of the second order; hyperbolic functions; elliptical integrals; infinite series; Fourier series; Gamma and Bessel functions; Laplace transforms; partial differential equations.

**MAT299 - Special Topics*** Credits: 1*

The Special Topics (MAT 299) course is intended to build on knowledge and skills developed in a college-level math course. Students will study a topic, to be chosen by the instructor, at an in-depth level in a specific area. Students may repeat this course with a new topic.

Co-requisite: Approved MAT Course