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  • MAT 128: Algebra

    4.00 Credits
    Delaware County Community College

    This course is designed primarily as a preparatory course for students intending to take College Algebra or Business Precalculus. Topics covered in this course include linear equations and inequalities; quadratic equations; introduction to functions and their graphs; 2x2 linear systems; polynomials; rational expressions and equations; and radical expressions and equations. Upon successful completion of this course, students should be able to: Solve linear equations and inequalities; Solve problems involving functions and their graphs; Solve problems involving linear systems; Perform basic operations on polynomials and factor polynomials; Simplify and perform basic operations on rational expressions and solve rational equations; Simplify and perform basic operations on radical expressions and solve radical equations; Solve quadratic equations. Prerequisite:    MAT 050 or Appropriate Placement Test Scores
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  • MAT 135: Business Precalculus

    3.00 Credits
    Delaware County Community College

    This course is designed primarily (but not exclusively) for Business Majors. Topics include graphing and solving problems using linear, quadratic, rational, square root, log, and exponential functions, solving systems of equations, performing operations on matrices, linear programming, and applications from business and economics. Upon successful completion of this course, students should be able to: Graph and solve problems using linear, quadratic, polynomial, rational, and square root functions; Graph and solve problems involving the log and exponential functions; Perform operations on matrices; Find the optimal solution of a linear programming problem using the graphing method of two variables; Apply the mathematical properties of lines, matrices, and exponential and log functions to business and economic problems. Prerequisite:    MAT 128 or Appropriate Placement Test Scores
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  • MAT 136: Business Calculus

    3.00 Credits
    Delaware County Community College

    This course is designed primarily (but not exclusively) for Business majors. Topics include limits, differentiation, and integration. Applications include maxima-minima and problems in management and economics. Upon successful completion of this course, students should be able to: Calculate the derivatives of certain algebraic functions, and products, quotients, and compositions of such functions; Apply the concepts of calculus to optimization problems and consumer and producer surplus; Calculate the derivatives of exponential and logarithmic functions; Integrate exponential, certain algebraic functions, and some combinations of these functions using substitution. Prerequisite:    MAT 135
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  • MAT 151: College Algebra

    4.00 Credits
    Delaware County Community College

    This course is intended primarily for those students who are majoring in science, engineering, or mathematics. Together with Precalculus, it prepares students for Calculus I. Topics covered include solving equations (linear, quadratic, radical, polynomial, rational, and absolute value), solving inequalities (linear, polynomial, rational, and absolute value), operations in the Rectangular Coordinate System and the Complex Number System, basic function operations (domain, range, graphing, arithmetic, composition and inverses), and functions (linear, quadratic, polynomial, rational, exponential and logarithmic). Upon successful completion of this course, students should be able to: Perform operations in the Complex Number System; Solve equations and inequalities; Perform operations in the Rectangle Coordinate System; Define, evaluate, perform operations and graph functions; Analyze polynomial functions; Analyze rational functions; Analyze exponential and logarithmic functions. Prerequisite:    MAT 128 (Grade of C or Higher) or Appropriate Placement Test Scores
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  • MAT 152: Precalculus

    4.00 Credits
    Delaware County Community College

    This course is intended primarily for those students who are majoring in science, engineering, or mathematics. Together with College Algebra, it prepares students for Calculus I. Topics covered include trigonometric functions, analytic trigonometry, triangle applications of trigonometric functions, analytic geometry, systems of equations, and sequences and series. Upon successful completion of this course, students should be able to: Analyze trigonometric functions; Apply analytic trigonometry; Use trigonometric functions to solve applied problems; Apply analytic geometry; Solve systems of equations; Analyze sequences and series. Prerequisite:    MAT 151 (Grade of C or Higher) or Appropriate Placement Test Scores
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  • MAT 160: Calculus I

    4.00 Credits
    Delaware County Community College

    This course is designed for students in the fields of science and engineering. It includes the concept of limit, the rate of change of a function, derivatives, limits of sums, integrals, and applications of differentiation. It is a required course for students majoring in engineering and may be elected by students in Liberal Arts, Business Administration, and Natural Science. It serves as a prerequisite for further mathematics courses and the University Physics sequence. NOTE: Pre-requisite requires a grade of 'C' or higher. Upon successful completion of this course, students should be able to: Use the concept of limit; Differentiate functions; Use differential calculus to sketch curves and to solve applied problems; Integrate functions by approximation and by use of the antiderivative. Prerequisite:    MAT 152 (Grade of C or Higher) or Appropriate Placement Test Scores
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  • MAT 161: Calculus II

    4.00 Credits
    Delaware County Community College

    This course is a continuation of Calculus I, MAT 160, and is designed for students in the fields of mathematics, science and engineering. It includes inverse trigonometric functions, applications of integration, methods of integration, improper integrals, conic sections, parametric equations, polar coordinates, and infinite series. Calculus II is an appropriate math selection for students interested in STEM careers and ma. Upon successful completion of this course, students should be able to: Differentiate and integrate inverse functions; Use integral calculus to determine area and volume and to solve applied problems; Integrate functions using different techniques; Relate functional and geometric properties of conic sections, curves given in parametric form, and polar curves; Test infinite series for convergence or divergence. Prerequisite:    MAT 160 (Grade of C or Higher)
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  • MAT 200: Linear Algebra

    3.00 Credits
    Delaware County Community College

    This course is designed primarily for engineering, computer science and math students planning to transfer to four-year institutions. The topics include systems of linear equations, matrices, determinants, vectors, vector spaces, linear transformations, eigenvalues and applications. Upon successful completion of this course, students should be able to: Perform matrix operations including addition, multiplication and finding the inverse; Solve systems of linear equations using matrix methods; Find the value of determinants using the methods of cofactors; Solve systems of linear equations using determinants and Cramer's Rule; Perform vector arithmetic in two space and three space; Determine whether a set with the operations of addition and scalar multiplication forms a vector space; Determine a basis for a vector space; Use linear transformations to map vectors from one vector space into another; Find the eigenvalues of a matrix; Apply linear algebra to the solution of problems in mathematics. Prerequisite:    MAT 161 (Grade of C or Higher)
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  • MAT 210: Statistics

    3.00 Credits
    Delaware County Community College

    This course is designed to give students a tool as well as a language in which they can better understand and analyze the data with which they work and make decisions based on their analyses. It will employ algebra in deriving measures of central tendency and variability for various discrete and continuous distributions and will include the study of the following additional topics: descriptive statistics, inferential statistics, The Central Limit Theorem, the Normal Distribution and its applications, sampling distributions, hypotheses testing, interval and point estimations of population parameters, the Chi-square test with contingency tables, linear correlation and regression, analysis of variance, non-parametric statistics, and applications of statistics in various disciplines. Upon successful completion of this course, students should be able to: Recognize the role of statistics in critical thinking and its applications using descriptive and inferential statistics; Use statistical measures of central tendency and statistical measures of variability to describe, represent and analyze data; Solve problems with bivariate data using scatter diagrams, correlation, and Least-Squares Regression; Solve problems involving the Normal Probability Distribution; Solve problems involving sampling distributions; Solve problems in statistical inference concerned with confidence intervals, minimum sample size determination, goodness of fit tests, and tests for independence and homogeneity; Test hypotheses for one, two, and three or more samples; Compute and interpret nonparametric tests; Use a software package to solve problems in the competencies covered. Prerequisite:    MAT 121, MAT 151, MAT 152, MAT 160, MAT 161, MAT 200, MAT 230, MAT 260, or MAT 261 (Grade of C or Higher)
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  • MAT 230: Foundations of Discrete Mathem

    3.00 Credits
    Delaware County Community College

    This course is designed to introduce students to the concepts involved in mathematical proofs. Topics covered include the use of logic, quantifiers, set theory, relations and functions, and proof techniques and applications. This course is intended for mathematics and some computer science majors. Upon successful completion of this course, students should be able to: Use the basic concepts of symbolic logic; Work with quantifiers; Apply the basic principles of set theory; Recognize and use valid proof techniques; Recognize and use the properties of relations and functions; Apply proof techniques. Prerequisite:    MAT 161 (Grade of C or Higher)
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