### Course Descriptions - Mathematics

MAT085 Essential Algebra I (3-0-3)

This course prepares students for college-level mathematics. It introduces basic algebraic notation and techniques, including the concept of variables, and the properties of operations. The real number system is developed and used in evaluating algebraic expressions, solving first-degree equations in one variable, and graphing first-degree equations in two variables. The course does not satisfy Degree or Certificate program requirements

MAT086 Mathematical Reasoning/Quantway (4-0-4)

This course includes numeracy, proportuinal and algebraic reasoning, and understanding of functions. An activity based approach is used to explore numerical concepts, quantitative reasoning, graphical displays of data, proportional relationships in real-world problems, problem solving with equations and inequalities, functions, linear and exponential models. Time will be spent in the computer lab to aid students with the use of the Carnegie website. Using the website is required to complete preparation, homework, quizzes and exams for the course. This is a Pathways course, following the Carnegie Foundation's Quantway curriculum. This course is not intended for STEM majors.

MAT095 Essential Algebra II (3-0-3)

Essential Algebra II is a basic course in algebra. Topics include linear equations in one and two variables, graphing solutions of equations, polynomials and factoring, rational expressions and equations, and quadratic equations.

PR: MAT 085, Equivalent preparation, or placement test scores SCCC courses below the 100-level are developmental in nature and the 3 credit equivalents do not satisfy degree or certificate progam requirements. All developmental courses are offered on a pass/fail basis.

MAT118 Technical Math (3-0-3)

This course stresses basic algebraic functions, functional notation, trigonometric functions, exponential and logarithmic functions, exponents, radicals, complex numbers, and vectors.

PR: Eligible to enroll in 100-level math course

MAT124 Technical Discrete Math (3-0-3)

This course stresses the discrete mathematics needed for career programs in the technologies. Topics include sets, algorithms, truth tables, operations on functions, arithmetic of matrices, logic circuits, permutations and combinations, and trees. In addition, the course introduces the binary and hexadecimal systems.

PR: Exemption from placement testing as defined by the Academic Code or placement testing scores allowing bypass of MAT 095, or successful completion of MAT 095

MAT126 Descriptive Statistics (3-0-3)

This practical statistics course focuses on simple statistical presentations common to a variety of career fields. The course focuses on the following topics: descriptive vs. inferential statistics; organizing and describing data; measures of central tendency; measures of variation; measures of the position; the normal distribution with applications; linear correlation, and regression. Students are required to work with Excel spreadsheets and should be comfortable using computers. Note: Credit for this course does not satisfy the A.A. or A.S. degree program requirements

MAT128 Algebra I (3-0-3)

This course focuses on the real number system, polynomials, solving first degree linear equations, solving linear inequalities in one variable, the Cartesian Coordinate System, graphing linear equations by point plotting, slope, equations of lines in general form and in slope-intercept form, factoring polynomials, solving polynomial equations by factoring and the zero property, rational expressions, integer exponent and problem solving.

PR: CSS 120 or equivalent F,S Note: Credit for this course does not satisfy the A.A. or A.S. degree program requirements

MAT129 Algebra II with Trigonometry (4-0-4)

This course focuses on functional notation, linear functions, absolute value functions, quadratic functions and equations, other basic algebraic functions and the graphs of those basic algebraic functions with the translations of those graphs. Also included are linear equations and inequalities, methods of solving polynomial equations, the basics of radicals and rational exponents, the basics of exponential and logarithmic functions and their graphs, geometry, and right triangle trigonometry.

PR: MAT 128 F,S Note: Credit for this course does not satisfy the A.A. or A.S. degree program requirements

MAT134 College Mathematics (3-0-3)

This course provides a bridge to further study in mathematics and science as well as serving a variety of AAS and certificate programs needing algebra and its applications. Topics include the real numbers, linear equations in one variable and their applications, linear inequalities in one variable, order relations, formulas such as those for area, and the graphs of linear equations in two variables, applications of linear equations in two variables, slope, an introduction to regression analysis, basic functional notation and a very brief introduction to exponential functions. This course may not be used for MAT credit in any AS program. The course may count as a liberal arts elective or restricted elective, if used as a prerequisite to a course numbered MAT 145 or above.

MAT145 Mathematical Topics (3-0-3)

This course introduces mathematics as a liberal art with various contemporary applications. The course covers logic, sets, combinations and permutations as well as number bases. The instructor also chooses from among the following topics: voting and apportionment; management science and graph theory; topics in geometry, as well as the nature of growth.

PR: Eligible to enroll in a 100 level math course.

MAT147 Statistics (3-0-3)

This course focuses on the following topics: descriptive statistics, an introduction to probability, random variables and probability distributions, the binomial and normal probability distributions, sampling, estimation, hypothesis testing, chi-square distributions, linear correlation and regression.

PR: Eligible to enroll in a 100-level math course

MAT148 College Algebra (3-0-3)

This course concentrates on the application and analysis of algebraic problems as they occur in a variety of disciplines. Topics include linear, quadratic, exponential and logarithmic functions and models and an introduction to regression analysis. Other topics include solution of equations and inequalities, sequences and matrices. Methods of proof such as algebraic derivation as well as the use of counterexamples to disprove mathematical statements are explored.

PR: Eligible to enroll in 100-level math course

MAT149 Topics in Finite Mathematics (3-0-3)

This course introduces the student to topics in finite math with applications to business, social sciences, and/or life sciences. Topics include functions, linear functions and mathematical models, the Method of Least Squares, systems of linear equations and matrices, linear programming, sets and counting, probability, probability distributions, random variables, expected value, and Markov chains.

PR: Eligible to enroll in a 100-level math course

MAT154 College Algebra & Trigonometry (3-0-3)

This course includes functions, functional notation, linear and quadratic functions, graphs of basic functions and graphing techniques such as shifts and reflections, constant slope and average rate of change, solving systems of linear and nonlinear systems, and constant slope and average rate of change, solving systems of linear and nonlinear systems, and complex numbers. The course also covers solving quadratic equations using factoring, the square root property and the quadratic formula, exponential and logarithmic equations and functions, trigonometric functions, the graphs of sine, cosine and tangent functions, and a brief introduction to vectors.

PR: Eligible to register for a 100 level math course

MAT160 Discrete Structures (3-0-3)

Topics in this course include sets, relations and functions, equivalence relations, sequences, recursively defined sequences, recursively defined sequences, recurrence relations, logic, truth tables, techniques of mathematical proof, mathematical induction, the Binominal Theorem, counting techniques, and alorithms. Also covered are graph theory and networks. Additional topics may include Boolean algebras, partial orders, and Hasse Diagrams, or basic group theory.

PR: MAT 129 or equivalent

MAT167 Precalculus With Analytic Geometry (4-0-4)

This course includes the following topics: functions, functional composition, inverse functions, domain and range, interval notation, polynomial functions, rational functions, exponential and logarithmic functions, trigonometric, functions and graphs, analytic geometry, including parametric equations, polar coordinates and conics, systems of equations, introduction to limits and applications.

PR: MAT 118 or MAT 154 or eligible to enroll in MAT 167

MAT180 Calculus I (4-0-4)

This course, in the calculus of a single variable, includes, limits, continuity, derivatives of algebraic and transcendental functions, implicit differentiation, related rates, the Mean Value Theorem, antiderivatives, definite integral, and the Fundamental Theorem of Calculus. The course introduces applications of differentiation such as curve sketching and optimiation problems as well as applications of integration such as area and average value.

PR: MAT 167 or equivalent

MAT181 Calculus II (4-0-4)

This course, in the calculus of a single variable, concerns recognizing, analyzing, and calculating problems in the following topic areas: the calculus of inverse trigonometric functions, integration techniques, application of integration, L'Hopital's Rule, improper integrals, infinite sequences and series, plane curves, parametric equations, polar coordinates, and polar curves.

PR: MAT 180 or consent of the department

MAT210 Discrete Structures: Logic & Proof (3-0-3)

This course provides an introduction to the non-continuous side of mathematics. The course focuses on techniques of mathematical proof including mathematical induction, direct proof,indirect proof, and proof by contradiction. Topics include relations and functions, symbolic logic and predicate calculus, number thoery, combinatorial methods as well as an introduction to graph theory.

PR: MAT 180 Spring only

MAT222 Ordn Differential Equations (3-0-3)

This course provides an introduction to ordinary differential equations. The course includes linear differential equations, systems of differential equations, series solutions, boundary value problems, existence theorems, Laplace transforms and applications to the sciences.

PR: MAT 181

MAT240 Calculus III (4-0-4)

Topics covered in this course include three- dimensional analytic geometry, vectors, calculus of functions of several variables, partial differentiation and multiple integration. Additionally, The Fundamental Theorem of Line Integrals and Green's Theorem, as well as vector fields are covered.

PR: MAT 181 Spring only

MAT242 Linear Algebra (3-0-3)

This course covers the following topics: vector spaces, the structure of Rn, matrix algebra, systems of linear equations, determinants, eigenvectors, eigenvalues, eigenvectors, and applications. Linear transformations and inner product spaces are also covered.

PR: MAT 180 Fall only

MAT244 Differential Equations (4-0-4)

This course introduces students to techniques to solve ordinary differential equations. Topics covered are first- order differential equations and applications, higher-order linear differential equations and applications, differential equations with variable coefficients (power series), linear differential equations with constant coefficients revisited via Laplace transforms. In addition, the instructor may choose to cover numerical methods or solutions around singular points, Bessel and Legendre equations.

PR: MAT 181

Last Updated: 12/17/18 08:03pm ET