## List of Courses

### MAT 079 Pre-Algebra (3EQ credits)

This course will provide students with concepts and techniques associated with pre-algebra mathematics. Topics include arithmetic of fractions, decimals, proportions, and percent and an introduction to signed number operations. This course will emphasize both skill development and an application of these skills to real world situations.

### MAT 083 Essential Mathematics (6EQ credits)

This course focuses on math for everyday life. Topics include fluency with numbers, proportional reasoning, data interpretation, algebraic reasoning, modeling, and communicating quantitative information. Development of arithmetic skills (fractions, decimals, proportions, and percents) is incorporated throughout the course. Mathematical concepts are investigated through group problems and class discussions based on real-life contexts of citizenship, personal finances, and medical literacy. This course prepares students to take a college-level non-STEM course in mathematics, such as MAT 104, MAT 112, MAT 113, or MAT 118. Students needing MAT 114 will also need to take MAT 088. Prerequisite: Completion of RDG 087 or placement into a higher RDG level.

### MAT 084 Mathematical Literacy (4EQ credits)

This course focuses on mathematics for everyday life. It integrates fluency with numbers, proportional reasoning, data interpretation, algebraic reasoning, modeling, and communicating quantitative information. Mathematical concepts are investigated through group problems and class discussions based on real-life contexts of citizenship, personal finances, and medical literacy. This course prepares students to take a college-level non-STEM course in mathematics, such as MAT 104, 112, 113, or MAT 118. Students placing at this level and needing MAT 114 should take MAT 087 or MAT 088 instead of this course. Prerequisite: Arithmetic skills.

### MAT 085 Math Skills and Applications (1EQ credits)

Provides learning reinforcement for students enrolled in the areas of arithmetic, elementary algebra, or intermediate algebra. Both mathematical skills and applications will be emphasized. Students may enroll in this course only with a math diagnostician's recommendation. This course will be offered in a workshop format as needed or as requested by other disciplines requiring math skills (i.e. Nursing, health related professions, Economics).

### MAT 087 Beginning Algebra (3EQ credits)

Topics include real number systems, algebraic operations, linear equations, coordinate systems, powers and roots, polynomials and factoring. Prerequisite: MAT 079 or equivalent based on placement testing.

### MAT 088 Beginning Algebra and Applications (4EQ credits)

Topics include real number systems, algebraic operations, linear equations, coordinate systems, powers and roots, polynomials and factoring. The skills and applications component provides students with an opportunity to practice newly acquired skills and to use these skills to solve practical problems. Math study skills will be infused throughout the course. Prerequisite: MAT 079 or equivalent based upon placement testing.

### MAT 089 Beginning Algebra for Advanced Manufactu Ring/Mechanical Technology Program (2EQ credits)

This non-credit course runs concurrently with MAT 109 and is required for students in need of beginning algebra skills as determined by placement testing. Topics will include real number systems, algebraic operations, linear equations, coordinate systems, powers and roots, polynomials and factoring, basic geometric and trigonometric concepts. A focus on mathematical applications pertaining to the Advanced Manufacturing/Mechanical Technology curriculum will be prevalent throughout the course. Equivalent credit will not be awarded for this course and MAT 087 or MAT 088. For Advanced Manufacturing - Machining Certificate and Mechanical Technology A.A.S. Program students only. Prerequisite: MAT 079 or equivalent. Co-requisite: MAT 109 Intermediate Algebra for Advanced Manufacturing/Mechanical Technology Programs.

### MAT 104 Quantitative Reasoning (3 credits)

This course focuses on mathematical and statistical reasoning important for decision-making in everyday life. It integrates quantitative literacy with percentages, probability, mathematical modeling, and statistical thinking. Concepts are investigated with hands-on activities using important medical, environmental, and financial decision examples. Communicating mathematics and using appropriate technologies will also be developed in this course. Prerequisite: MAT 084 or 087, or equivalent.

### MAT 109 Intermediate Algebra for Advanced Manufacturing/Mechanical Technology Programs (4 Credits)

This is a class designed to fulfill the mathematics requirement for the Advanced Manufacturing - Machining Certificate program and satisfy the prerequisite for the mathematics requirement for the Mechanical Technology A.A.S. degree program. Topics include solving linear equations and inequalities, graphs, functions, systems of equations, polynomials and polynomial functions, factoring, rational expressions and equations, radical expressions and equations, geometric concepts, quadratic equations, and right triangle trigonometry. A focus on mathematical applications pertaining to the Advanced Manufacturing curriculum will be prevalent throughout the course. This course may not be applicable as math credit for other departments without departmental permission. This course will not count toward any elective credit for Math-Science. Credit will not be awarded for this course and MAT 114. For Advanced Manufacturing - Machining Certificate and Mechanical Technology A.A.S. Program students only. Prerequisite: MAT 087 or MAT 088 (or equivalent) or MAT 084.

### MAT 112 Nature of Mathematics (3 credits)

The purpose of this course is to improve problem-solving skills and extend students' understanding of the nature of mathematics. The topics will include: problem-solving, number theory, Euclidean and Non-Euclidean geometry, the concept of infinity, and optional topics chosen from probability, topology, chaos and fractals. This course is primarily for liberal arts students entering fields of study which do not have a strong mathematical emphasis. Prerequisite: MAT 088 Beginning Algebra, MAT 084 Mathematical Literacy, or equivalent.

### MAT 113 Contemporary Mathematics (3 credits)

The purpose of this course is to show a direct connection between mathematics and concrete real-life problems. Topics will include voting theory, routing problems (graph theory), and either scheduling, fair division or apportionment. This is a course primarily for liberal arts students entering fields of study which do not have a strong mathematical emphasis. Participation in group work is required for classroom sections. Prerequisite: Beginning Algebra or equivalent.

### MAT 114 Intermediate Algebra With Applications (4 credits)

Topics include solving linear equations and inequalities, graphs, functions, systems of equations, polynomials and polynomial functions, factoring, rational expressions and equations, radical expressions and equations, geometric concepts, quadratic equations, and applications. This course will not count toward any elective credit for Math/Science majors. Prerequisite: Beginning algebra (with a grade of SB or higher) or equivalent.

### MAT 115 Modeling for Decision Making (3 credits)

Linear systems, matrices, linear programming, mathematics of finance, counting procedures, sets, probability, functions, exponents. Use of specific technology will be required. Does not satisfy any requirement for the MTS.AS degree. Prerequisite: MAT 114, intermediate algebra, college algebra or equivalent based on placement testing.

### MAT 116 Decision Making With Calculus (3 credits)

This is the second of a two-semester sequence designed for business transfer and CIS students. Topics include: limits, instantaneous rates of change, differentiation, exponential and logarithmic functions, antiderivatives, indefinite integrals, definite integrals, and applications to business, managerial and social sciences. Not open to Math/Science majors. Prerequisite: MAT 115.

### MAT 118 Exploring Statistics (3 credits)

This is an introductory statistics course for non-STEM majors. Topics include: random sampling, graphical displays of data, measures of central tendency and dispersion, normal distribution, standard scores, confidence intervals, hypothesis testing, Student t distribution, two-way tables, probability, correlation and regression. Prerequisite: Placement into college level mathematics. Not open to Math/Science or Engineering Science majors or to anyone having earned credit in MAT 151 or BUS 219. A calculator with two-variable statistics capabilities may be required.

### MAT 119 Mathematics for Technical Disciplines I (4 credits)

This is the first course in a two-semester sequence of dimensional analysis, intermediate algebra, geometry, trigonometry, graphs and control charts, with an understanding of basic statistics. Topics included are: scientific and engineering notation, significant figures, unit conversion, fundamental concepts of algebra, functions and graphs, solving linear and quadratic equations, systems of equations, right triangle trigonometry, basic statistics, graphs and control charts. The scientific calculator will be used throughout the course. This course is intended for technical majors. Prerequisite: A grade of C or better in Intermediate Algebra (MAT 114) or equivalent, or permission of instructor.

### MAT 120 Mathematics for Technical Disciplines II (3 credits)

This is the second course in a two-semester sequence of dimensional analysis, intermediate algebra, geometry, trigonometry, graphs and control charts, with an understanding of basic statistics. Topics included are: trigonometry (including identities), logarithms, exponential and logarithmic equations, variation, graphing with log and semi-log scales, and a brief introduction to differentiation and integration of polynomials. The scientific calculator will be used throughout the course. This course is intended for technical majors. Prerequisite: A grade of C or better in Mathematics For Technical Disciplines I (MAT 119) or equivalent, or permission of instructor.

### MAT 121 Math for Elementary Teachers (4 credits)

This course is the first of a two-semester sequence designed for the prospective B-2, 1-6, 5-8, and B-6 teacher. Students who plan to transfer to a four-year institution in Early, Childhood or Middle Childhood Education should take this course and MAT 122. Students will develop an understanding of the mathematical curriculum recommended by the National Council of Teachers of Mathematics (NCTM) Standards. Topics include: sets, numeration systems, whole numbers, integers, rational numbers, real numbers, and number theory. A hands-on problem-solving technology-based approach will be emphasized throughout this course. This course fulfills the math requirements for General Studies, Humanities, and Human Services only. Prerequisite: MAT 087 and successful completion of the MAT 121 Competency Test.

### MAT 122 Mathematics for the Elementary School Teacher: Problem Solving II (4 credits)

This course is the second of a two-semester sequence designed for the prospective B-2, 1-6, 5-8, and B-6 teacher. Students who plan to transfer to a four-year institution in Early Childhood or Middle Childhood Education should take MAT 121 and this course. Students will develop a comprehensive understanding of the mathematical curriculum recommended by the National Council of Teachers of Mathematics' (NCTM) Standards. Topics include: geometry, probability, statistics, and the metric system. A hands-on problem-solving technology-based approach will be emphasized throughout the course. This course fulfills the math requirement for General Studies, Humanities, and Human Services only. Prerequisite: MAT 121.

### MAT 142 Trigonometric Functions (1 credits)

This course provides a functions (circular) approach to the study of trigonometry. Topics include unit circle, radian measure, identities and proofs, multiple and half angle formulas, inverse trigonometric functions, and solving trigonometric equations. Graphing calculator use is required. Prerequisite: Intermediate Algebra, College Algebra, or permission of department.

### MAT 143 Pre-Calculus With Trigonometry (4 credits)

This course is designed to provide the necessary foundation for a standard calculus course. Topics include absolute value and quadratic inequalities, functions and their equations, exponential and logarithmic functions and their applications, right triangle trigonometry, law of sines and law of cosines, trigonometric functions (circular) and their inverses, trigonometric identities and equations, addition and multiple angle formulas, and binomial theorem. Graphing calculator use is required. Prerequisite: Grade of C or better in Intermediate Algebra (MAT 114), College Algebra, or permission of instructor.

### MAT 151 Statistics I (4 credits)

Topics covering the descriptive and inferential aspects of statistics will include: frequency distribution, graphs, measures of central tendency and dispersion, linear correlation and regression, probability, probability distributions, binomial and normal distributions, introduction to sampling theory, estimation theory, and hypothesis testing. Computer software will be used. A graphing calculator with specific statistical capabilities will be required for this course. Credit will not be given for both MAT 151 and BUS 219. Prerequisite: MAT 116, 143, or permission of instructor.

### MAT 152 Statistics II (3 credits)

A continuation of Statistics I to include the topics two-sample analysis, linear and multiple regression, correlation, analysis of variance, non-parametric statistics and Chi-square goodness of fit. Time series analysis and/or statistical process control as time permits. Computer software and graphing calculator applications will be an integral component of this course. A graphing calculator with specific statistical capabilities will be required. Credit will not be given for both MAT 152 and BUS 220. Prerequisite: MAT 151 or BUS 219 or equivalent.

### MAT 161 Calculus I (4 credits)

This is a first course in calculus for students in mathematics, science, computer science and engineering. Topics include basic analytic geometry, functions, limits and continuity, derivatives of algebraic and trigonometric functions, chain rule, implicit differentiation, antiderivatives, definite integrals, Fundamental Theorem, applications of derivatives and integrals. Graphing calculator use is required. Prerequisite: Four years of college-preparatory mathematics (including trigonometry) or a C or better in Precalculus with Trigonometry (MAT 143) or Mathematics for Technical Disciplines II (MAT 120) or permission of instructor.

### MAT 162 Calculus II (4 credits)

A second course in calculus for students in mathematics, science, and engineering. Applications of integrals; derivatives and integrals of exponential, logarithmic, and inverse trigonometric functions; indeterminate forms and L'HÃ´pital's rule; techniques of integration; improper integrals; numerical integration; infinite series; conic sections; parametric equations; polar coordinates and polar graphs. Graphing calculator use is required. Prerequisite: MAT 161 Calculus I, or equivalent.

### MAT 241 Linear Algebra (3 credits)

This elective for Engineering, Computer Science, and Liberal Arts and Sciences: Mathematics and Science majors introduces students to the deductive style of higher-level mathematics courses. Topics include systems of linear equations, matrices, real vector spaces, subspaces, linear independence, basis, dimension, row and column space of a matrix, linear transformations, kernel, range, matrix of a linear transformation, determinants, eigenvalues, and eigenvectors, and Gram-Schmidt Process. Prerequisite: A grade of C or better in Calculus I (MAT 161) or equivalent, or permission of instructor.

### MAT 251 Discrete Mathematics (3 credits)

This course covers the study of set theory, logic, techniques of proof, basic number theory, functions, relations, algorithms, combinatorics, partitions, recurrence relations, induction, and recursion. Prerequisite: A grade of C or better in Calculus I (MAT 161) or permission of instructor.

### MAT 263 Calculus III (4 credits)

The following topics are studied: vectors, vector functions, 3-dimensional analytic geometry, partial derivatives, total differentials, gradients, multiple integrals, line integrals, Green's theorem, Stokes's theorem. Prerequisite: MAT 162.

### MAT 264 Differential Equations (4 credits)

A course designed primarily for Math/Science and Engineering majors. Topics include: definitions, first-order differential equations, linear equations of order two and higher, Laplace transforms, series solutions, systems of differential equations, numerical solution methods, modeling applications. Prerequisite: MAT 162.