MATC 2024-25 Catalog

DEGREE/DIPLOMA/CERTIFICATE COURSE DESCRIPTIONS

differentiation, integration, and applications. May not be used as a prerequisite for MATH 232. Prerequisite(s): MATH-200. MATH-230 College Algebra and Trigonometry This course prepares students for calculus. Topics include real and complex number systems, equations, inequalities, functions (linear, polynomial, rational, radical, exponential, logarithmic and trigonometric) and their graphs, systems of equations and inequalities (linear and nonlinear), conic sections, theory of equations, matrix methods of solution of linear equations, analytic trigonometry and applications of trigonometry. Learning involves extensive use of a graphing calculator. Prerequisite(s): Complete MATH-116 or MATH-200 with minimum grade of B, or satisfactory MATC placement test score. MATH-231 Credits: 5 Analytic Geometry and Calculus 1 Limit topics include continuity, trig functions, logarithms, in fi nite limits and limits at in fi nity. Derivative topics include the chain rule, implicit differentiation, related rates, approximations, higher order derivatives, extremum and other applications of the derivative. Integration topics include sums, antiderivatives, the Fundamental Theorem of Calculus, areas and the de fi nite integral, and integration by substitution. Differential equations topics include growth and decay, and basic separation of variables. The course includes appropriate mathematical notation, trigonometric function and transcendental functions with optional coverage of hyperbolic functions. Prerequisite(s): MATH-202 or MATH-230 with minimum grade of C or four years of high school math (including two years of algebra, one year of geometry and one semester of trigonometry) with minimum grade of B, or a satisfactory MATC placement test score. MATH-232 Credits: 5 Analytic Geometry and Calculus 2 This course is a continuation of MATH-231. Topics include integration applications and techniques, improper integrals, indeterminate forms, in fi nite series, Taylor polynomials, conics, parametric equations, and polar equations. Use of a graphing calculator is required. Prerequisite(s): Complete MATH-231 with minimum grade of C. MATH-233 Credits: 5 Analytic Geometry and Calculus 3 A continuation of MATH-232. Topics include vectors, geometry of space, vector valued functions, partial derivatives, multiple integrals and vector analysis. Extensive use of the graphing calculator is required. Prerequisite(s): Complete MATH-232 with minimum grade of C. MATH-234 Credits: 4 Differential Equations/Linear Algebra Topics include elementary differential equations, vendors, matrices, linear transformations, quadratic forms, Eigen values and applications. Extensive use of the graphing calculator is required. Prerequisite(s): Complete MATH-232 or MATH-233. Credits: 5

Complete MATGEN-110, MATH-107, MATH 134 or MATH-135 with minimum grade of C or satisfactory MATC placement test score. MATH-116 Credits: 4 College Technical Mathematics 2 Topics include vectors, trigonometric functions and their graphs, identities, exponential and logarithmic functions and equations, radical equations, equations with rational exponents; dimension of a circle, velocity, sine and cosine graphs, complex numbers in polar and rectangular form, trigonometric equations, conic sections, and analysis of statistical data. Emphasis will be on the application of skills to technical problems. Prerequisite(s): Complete MATH-114 or MATH 115 with minimum grade of C. MATH-123 Credits: 3 Math With Business Applications This course integrates algebraic concepts, proportions, percents, simple interest, compound interest, annuities and basic statistics with business/consumer scenarios. It also applies math concepts to the purchasing/buying and selling processes. Prerequisite(s): Complete MATGEN-109 with minimum grade of C or satisfactory MATC placement test score. MATH-134 Credits: 3 Mathematical Reasoning All college students, regardless of their college major, need to be able to make reasonable decisions about fi scal, environmental and health issues that require quantitative reasoning skills. An activity based approach is used to explore numerical relationships, graphs, proportional relationships, algebraic reasoning and problem-solving using linear, exponential and other mathematical models. Students will develop conceptual and procedural tools that support the use of key mathematical concepts in a variety of contexts. This course may be used as the fi rst of a two-part sequence that ends with Quantitative Reasoning as the capstone general education math requirement. MATH-135 Credits: 3 Quantitative Reasoning This course is intended to develop analytic reasoning and the ability to solve quantitative problems. Topics to be covered may include construction and interpretation of graphs, descriptive statistics, geometry and spatial visualizations, math of fi nance, functions and modeling, probability, and logic. Appropriate use of units and dimensions, estimates, mathematical notation, and available technology will be emphasized throughout the course. Prerequisite(s): Complete MATH-134 or ACT Math sub-score of 18 or higher. MATH-189 Credits: 3 Introductory Statistics Students taking Introductory Statistics display data with graphs, describe distributions with numbers, perform correlation and regression analyses, and design experiments. They use probability and distributions to make predictions, estimate parameters and test hypotheses. They draw inferences about relationships including ANOVA.

MATH-197

Credits: 5

College Algebra and Trigonometry With Applications This course covers skills needed for success in calculus and many application areas at the baccalaureate level. Algebra topics include the real and complex number systems, polynomials, exponents, radicals, solving equations and inequalities, relations and functions, systems of equations and inequalities, graphing, and conic sections. Trigonometry topics include the unit circle, trigonometric functions, graphs, identities, equations, inverse functions, solutions of triangles, complex numbers, polar coordinates, and vectors. Prerequisite(s): Complete MATH-116 or MATH-200 with a minimum grade of B or satisfactory MATC placement test score. MATH-200 Intermediate Algebra Students study the construction and resulting properties of the real number system. Students simplify and factor algebraic expressions using fundamental laws and order of operations; solve fi rst and second degree equations and inequalities in one variable, systems of equations and exponential and logarithmic equations, graph fi rst degree and second degree equations and inequalities in two variables; inverse functions and solve equations involving rational expressions, fractional exponents and radicals. Students will learn the basic de fi nitions of relations and functions and perform operations on functions. Prerequisite(s): Complete MATH 107, MATH-134 or MATH-135 with minimum College Algebra Students study properties of the real and complex number system; quadratic, polynomial, rational, exponential and logarithmic functions; equations and inequalities; combinatorics; the binomial theorem, the use of matrices and determinants in solving systems of equations, systems of inequalities, nonlinear systems, sequences, series and probability. Course includes use of a graphing calculator. Prerequisite(s): Complete MATH-200 with minimum grade of C or satisfactory MATC placement test score. MATH-202 Credits: 3 Trigonometry Topics include circular functions, graphing of trigonometric functions, identities, equations, trigonometric functions of angles, inverse functions, solutions of triangles, complex numbers, DeMoivre’s Theorem, polar coordinates, and vectors. Learning involves extensive use of a graphing calculator. Prerequisite(s): Complete MATH-201 with minimum grade of C. MATH-211 Credits: 4 Survey in Calculus and Analytic Geometry A one-semester survey with applications to business administration, economics, and non-physical sciences. Topics include coordinate systems, equations of curves, limits, Credits: 4 grade ofB. MATH-201 Credits: 4

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