MATC 2022-23 Catalog

MATH

DEGREE/DIPLOMA/CERTIFICATE COURSE DESCRIPTIONS

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 prerequisite for MATH 232. Prerequisite(s): Complete 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 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 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 the de 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): Complete 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 satisfactory score on MATC placement test. 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-189

Credits: 3

MATH-233

Credits: 5

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 TrigonometryWith 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 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 grade of 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, 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,

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 Di ff erential Equations/Linear Algebra Topics include elementary di ff erential equations, vectors, 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. MATH-260 Credits: 3 Basic Statistics Studies appropriate statistical techniques for the systematic collection, presentation, analysis and interpretation of data. Studies statistical inference including sampling techniques, con fi dence intervals, type I and II errors, hypothesis testing and results interpretation. Also includes descriptive statistics, basic probability theory, the Central Limit Theorem, probability distributions, linear regression, correlation and sample sizes. May require use of a graphing calculator or computer software. Lecture. Prerequisite(s): Complete MATH-200 with minimum grade of C, or satisfactory MATC placement test score. MATH-275 Credits: 3 Math Exploration for Elementary Teachers 1 This course is intended for students enrolled in the Teacher Education Track (TET). Topics include theory of arithmetic of whole numbers, fractions, and decimals. Also includes an introduction to algebra, estimation and problem-solving strategies. Prerequisite(s): Complete MATH-134. MATH-276 Credits: 3 Math Exploration for Elementary Teachers 2 A continuation of MATH-275; geometry, statistics, and probability. Prerequisite(s): Complete MATH-275 with minimum grade of C. MATH-304 Credits: 1 Math Principles 1 Topics include a review of operations with numbers, fractions, decimals, calculator skills, formulas, percents and measurement conversions. Applications are related to technical diploma programs. MATH-308 Credits: 2 Math for Industrial Applications 1 Concepts in basic algebra, along with principles of plane geometry are studied. Emphasis is placed on calculating dimensions and angles of geometric fi gures related to industrial occupations.

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