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Course Descriptions
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| MAT 070 - Fundamentals of Mathematics | ||||||||||||||||
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A review of basic mathematical skills and concepts. Emphasis is on the development and review of computational and operational skills with whole numbers, fractions, decimals, percents, ratio and proportion, measurement systems, geometric shapes, and statistics. Prerequisite: Appropriate placement score. |
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3 lec/week |
Credit: 3 semester hours |
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| MAT 072 - Pre-Algebra | to top | |||||||||||||||
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Designed to prepare students for elementary algebra. Topics include a review of arithmetic operations and mathematical principles, signed numbers, exponents, linear equations, polynomial operations, elementary graphing, and problems of application. Prerequisite: MAT 070 with a grade of C or higher (or appropriate placement score). |
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3 lec/week |
Credit: 3 semester hours |
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| MAT 074 - Elementary Algebra | to top | |||||||||||||||
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This is an introductory course in algebra. Topics include: integers and operations, the real number system, expressions and exponents, linear equations and inequalities, graphs of equations, polynomials and factoring, slope and equations of lines, systems of linear equations, rational expressions, radicals, and quadratic equations. Prerequisite: MAT 072 with a grade of C or higher (or appropriate placement score). |
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4 lec/week |
Credit: 4 semester hours |
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| MAT 076 - Geometry | to top | |||||||||||||||
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A study of points, lines, planes, angles, and other geometric figures. Properties of size and shape are investigated through observation and deduction. Topics include proof and logic, parallels and polygons, congruence and similarity, inequalities, right triangles, circles, area and volume. Compass/straightedge constructions and locus problems are also included. This course is designed for students that have not taken high school geometry or for those who need to relearn the basic concepts of geometry. Prerequisite: MAT 074 with a grade of C or higher (or appropriate placement score), OR one year of high school algebra with grades of C or higher. |
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4 lec/week |
Credit: 4 semester hours |
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| MAT 080 - Intermediate Algebra | to top | |||||||||||||||
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This course assumes familiarity with material in MAT 074. Topics extended to an intermediate level include: real numbers and expressions, equations and inequalities, graphing methods, polynomials and factoring, rational expressions, radicals, quadratic equations, and systems of equations. New topics include: functions and their graphs, radicals and complex numbers, quadratic and rational inequalities, graphs of second degree equations and variation. This course requires a graphing calculator. Prerequisite: MAT 074 with a grade of C or higher (or appropriate placement score), OR one year of high school algebra with grades of C or higher. |
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4 lec/week |
Credit: 4 semester hours |
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| MAT 106 - Applied Mathematics | to top | |||||||||||||||
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Technical mathematics is a beginning level course for students in technical and career programs. The course includes arithmetic, algebra, geometry and trigonometry applied to the solution of practical problems. Scientific notation, metrics and use of the calculator are also covered. Prerequisite: MAT 074 with a grade of C or higher (or appropriate placement score), OR one year of high school algebra with grades of C or higher. |
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3 lec/week |
Credit: 3 semester hours |
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| MAT 110 - Mathematics for Elementary Teachers I. | to top | |||||||||||||||
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The emphasis of this course is placed on mathematical reasoning and problem-solving as it pertains to modern elementary/middle school mathematics. Topics include: logic and sets, whole numbers and numeration, elementary number theory, rational numbers, and real numbers. Prerequisite: MAT 076 with a grade of C or higher (or one year of high school geometry with grades of C or higher); AND MAT 080 with a grade of C or higher (or two years of high school algebra with grades of C or higher, or appropriate placement score). |
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2 lec, 2 lab/week |
Credit: 3 semester hours |
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| MAT 111 - Mathematics for Elementary Teachers II. | IAI: M1 903 to top | |||||||||||||||
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This course is a continuation of MAT 110 - Mathematics for Elementary Teachers 1. Topics include: consumer mathematics, introductory probability and statistics, geometry measurement, coordinate geometry and transformations. Prerequisite: MAT 110 with a grade of C or higher. |
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2 lec, 2 lab/week |
Credit: 3 semester hours |
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| MAT 115 - Principles of Modern Mathematics | IAI: M1 904 to top | |||||||||||||||
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An investigation of the key ideas in contemporary mathematics. The following topics will be studied in-depth: mathematics of finance, basic geometry and measurement, coordinate geometry, and introductory probability and statistics. These topics are taught with an emphasis on problem-solving. This course serves as a general math ematics elective for liberal arts majors. Prerequisite: MAT 076 with a grade of C or higher (or one year of high school geometry with grades of C or higher); AND MAT 080 with a grade of C or higher (or two years of high school algebra with grades of C or higher, or appropriate placement score). |
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3 lec/week |
Credit: 3 semester hours |
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| MAT 121 - College Algebra | to top | |||||||||||||||
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This course assumes proficiency with material in MAT 105. Topics extended to the college level include: real numbers, exponents and radicals, polynomials and factoring, fractional expressions, equations and inequalities, functions and their graphs, conic sections, and systems of equations and inequalities. New topics include: zeros of polynomial functions, rational functions, exponential and logarithmic functions, matrices and determinants, sequences, and the Binomial Theorem. This course requires a graphing calculator. Prerequisite: MAT 076 with a grade of C or higher (or one year of high school geometry with grades of C or higher); AND MAT 080 with a grade of C or higher (or two years of high school algebra with grades of C or higher, or appropriate placement score). |
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4 lec/week |
Credit: 4 semester hours |
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| MAT 122 - Trigonometry | to top | |||||||||||||||
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This course consists of an elementary survey of trigonometry and its applications. Topics include a review of prerequisite topics, radian measure and the unit circle, trigonometric functions and their graphs, and inverse trigonometric functions. Also included are trigonometric identities and equations, the solution of right and oblique triangles, vectors, and a review of exponential and logarithmic functions and their applications. Prerequisite: MAT 121 with a grade of C or higher (or appropriate placement score), OR four years of college preparatory high school mathematics with grades of C or higher. |
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3 lec/week |
Credit: 3 semester hours |
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| MAT 203 - Calculus and Analytic Geometry I. | IAI: M1 900 to top | |||||||||||||||
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The elementary concepts of differential and integral calculus are introduced and applications are discussed. These include: limits, continuity, the derivative, rules of differentiation, the indefinite and definite integral. Trigonometric functions are dealt with. Some applications are: related rates, graphing, extreme value problems. Newton's method for finding roots of equations. Some applications of integration are: area between curves, volumes of revolution, arc length and work. Prerequisite: MAT 122 with a grade of C or higher OR four years of college preparatory high school mathematics with grades of C or higher AND appropriate placement score. |
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4 lec/week |
Credit: 4 semester hours |
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| MAT 204 - Calculus and Analytic Geometry II. | IAI: M1 900 to top | |||||||||||||||
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The methods of differentiation and integration are extended and power series are introduced. The new methods deal with: logarithms, exponential, hyperbolic and inverse trigonometric functions. The techniques of integration by parts, partial fractions, trigonometric substitution and numerical integration are covered. Power series and the Taylor series function representation are introduced. Conic sections are also included. Prerequisite: MAT 203 with a grade of C or higher. |
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4 lec/week |
Credit: 4 semester hours |
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| MAT 205 - Calculus and Analytic Geometry III. | IAI: M1 900 to top | |||||||||||||||
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The elementary ideas concerning polar, vector valued and multivariate functions are covered. These topics include: area, arc length and tangents for polar curves. In addition, vectors, vector derivatives, curvature and motion in two and three space are studied. The multivariate concepts of differentiability, partial differentiation, gradient vectors, LaGrange multipliers, finding relative extreme values, multiple integration and line integrals are discussed. Prerequisite: MAT 204 with a grade of C or higher. |
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4 lec/week |
Credit: 4 semester hours |
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| MAT 211 - Differential Equations | to top | |||||||||||||||
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Elementary methods of solving differential are studied along with applications of differential equations. These methods for first order equations include: numerical techniques, separation of variables, homogeneous functions, exact equations and the integrating factor for first order linear equations. Homogeneous linear equations of higher order are also discussed and the methods of undetermined coefficients, reduction of order and variation of param eters are used to deal with the non-homogeneous case. The methods of Laplace transforms and series solutions are dealt with. Systems of equations are covered if time allows. Prerequisite: MAT 205 with a grade of C or higher. |
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3 lec/week |
Credit: 3 semester hours |
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| MAT 220 - Finite Mathematics | IAI: M1 906 to top | |||||||||||||||
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A study of some major topics in finite mathematics: interest, annuities, matrix theory, matrix operations, solutions of systems of inequalities, linear programming by graphing and Simplex methods, principles of counting and probability. Applications of these topics in the fields of business management, economics, and social science, as well as natural science are included. Prerequisite: MAT 121 with a grade of C or higher (or appropriate placement score), OR four years of college preparatory high school mathematics with grades of C or higher. |
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3 lec/week |
Credit: 3 semester hours |
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| MAT 221 - Calculus for Business and Social Sciences | IAI: M1 900 to top | |||||||||||||||
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A brief course in elementary differential and integral calculus. Primarily for students of business, economics and social science, with emphasis on applications. Prerequisite: MAT 121 with a grade of C or higher (or appropriate placement score), OR four years of college preparatory high school mathematics with grades of C or higher. |
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3 lec/week |
Credit: 3 semester hours |
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| MAT 230 - Discrete Mathematics | to top | |||||||||||||||
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An introduction to analysis of finite collections and mathematical foundations of sequential machines, computer system design, data structures, and algorithms. Includes: sets and logic, counting, recursion, graph theory, trees, nets, Boolean algebra, automata, and formal grammars and languages. |
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3 lec/week |
Credit: 3 semester hours |
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| MAT 231 - Linear Algebra | to top | |||||||||||||||
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Topics associated with matrices and vector spaces are studied. These include: linear systems, matrix operations, determinates, vector spaces, linear independence, dimension, linear transformations, eigenvectors. During the course several in-depth applications are discussed. Prerequisite: MAT 205 with a grade of C or higher. |
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3 lec/week |
Credit: 3 semester hours |
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| MAT 240 - Elementary Statistics | IAI: M1 902 to top | |||||||||||||||
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An introduction to basic concepts in statistical methods including measures of central tendency, measures of dispersion, probability, theoretical and empirical distribution, estimation, tests of hypotheses, linear regression and correlation. (Credit will not be awarded for both MAT 240 and BUS 214.) Prerequisite: MAT 121 with a grade of C or higher (or appropriate placement score), OR four years of college preparatory high school mathematics with grades of C or higher. |
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3 lec/week |
Credit: 3 semester hours |
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Copyright © 2000-2004 Sauk Valley Community College Math Department
Questions? E-mail Steve Shaff