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• MAT 121: Introduction to Probability and Statistics

  3.00 Credits

  Delaware County Community College

  
  This course provides a solid introduction to probability theory and its applications as well as the visual and mathematical analysis of data and data distributions. This course is similar to Modern College Mathematics (MAT 120) in design and can be used as mathematics elective for students who are not science, engineering, or mathematics majors. It may be taken before Modern College Mathematics. It also serves as a prerequisite for MAT 210. Upon completion of this course, students should be able to: Apply techniques and formulas to solve problems involving the fundamental counting principle, permutations and combinations. Use the definitions, axioms, and theorems of probability to solve problems. Use statistical measures, graphs, and normality to organize, describe, visually represent, and analyze data. Solve problems involving the simple linear regression line model and the correlation coefficient. Use a software package to solve problems in the competencies covered. Prerequisite:    Prerequisites: MAT 050. Appropriate placement test scores may be accepted.
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• MAT 125: Mathematics for Teachers of Children I

  3.00 Credits

  Delaware County Community College

  
  This course emphasizes both the clear understanding of mathematical ideas and especially the ability to communicate these ideas to elementary school children. Using various mathematical models this course covers the following topics: sets, whole numbers, numeration, estimation, number theory, fractions, decimals, integers and proportion. This course is designed primarily for students pursuing Early Childhood Education (Pre-K-4th grade) or Middle grades (4-8th grade) teacher certification, but may be elected by other education majors.Upon completion of this course, students should be able to: Utilize the key mathematical processes of communicating, reasoning, solving problems and making connections with mathematics and real world problems, and making connections among the various mathematical systems: whole numbers, integers, and rational numbers (fractions). Demonstrate an understanding of structure, properties and operations in the whole number system. Utilize mental computation and estimation techniques. Demonstrate an understanding of basic number theory concepts and processes. Demonstrate an understanding of structure, properties and operations in the system of integers. Demonstrate an understanding of properties and operations with fractions. Solve problems using ratios, proportions and percents. Prerequisite:    Prerequisites: MAT 050. Appropriate placement test scores may be accepted.
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• MAT 126: Mathematics for Teachers of Children II

  3.00 Credits

  Delaware County Community College

  
  As a continuation of Mathematics for Teachers I, this course is designed primarily for students pursuing Early Childhood Education (Pre-K - 4th grade) or Middle grades (4-8th grade) teacher certification, but may be elected by other education majors. The course emphasizes both the clear understanding of mathematical ideas and the ability to communicate these ideas to elementary school children. Topics include data analysis, probability, measurement and geometry in two and three dimensions.Upon completion of this course, students should be able to: Collect, organize, analyze and interpret statistical data. Solve probability problems. Use geometric shapes and patterns to describe real world phenomena. Demonstrate an understanding of the concept of measurement. Use triangle congruence and similarity. Analyze lines and circles using coordinate geometry. Use transformations to solve geometric problems. Prerequisite:    Prerequisite: MAT 125.
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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 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:    Prerequisites: MAT 050. Appropriate placement test scores may be accepted.
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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 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:    Prerequisites: MAT 128. Appropriate placement test scores may be accepted.
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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 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:    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). NOTE: Pre-requisite requires a grade of 'C' or higher. Upon 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:    Prerequisites: MAT 128 with a grade of 'C' or better. Appropriate placement test scores may be accepted.
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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. NOTE: Pre-requisite requires a grade of 'C' or higher. Upon 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:    Prerequisites: MAT 151 with a grade of 'C' or better. Appropriate placement test scores may be accepted.
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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 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:    Prerequisites: MAT 152 with a grade of 'C' or better. Appropriate placement test scores may be accepted.
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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 may also be applied to most other majors. NOTE: Pre-requisite requires a grade of 'C' or higher.Upon 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:    Prerequisite: MAT 160 with a grade of C or better.
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