MATC 2023-24 Catalog

MATH

DEGREE/DIPLOMA/CERTIFICATE COURSE DESCRIPTIONS

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 those skills needed for success in calculus and many application areas on a baccalaureate level. Topics include the real and complex number systems, polynomials, exponents, radicals, solving equations and inequalities (linear and nonlinear), relations and functions, systems of equations and inequalities (linear and nonlinear), matrices, graphing, conic sections, sequences and series, combinatories and the binomial theorem. Prerequisite(s): Complete MATH-116 or MATH-200 with a minimum grade of B, or satisfactory MATC placement test score. MATH-200 Credits:4 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 gradeof B. MATH-201 Credits:4 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, non-linear systems, sequences, series and probability. Course includes use of a graphing calculator. Prerequisite(s): Complete MATH-200 minimum grade 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, di ff erentiation, integration, and applications. May not be used as a prereq for Math-232. Prerequisite(s): MATH-200. MATH-230 Credits:5 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 MATC-116 or MATH-200 with a 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 di ff erentiation, 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 thede fi nite integral, and integration by substitution. Di ff erential 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 ofC.

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 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 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 & interpretation of graphs; descriptive statistics; geometry & 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

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