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CUNY MAT 051 - Syllabus

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Updated 3/13/12 BOROUGH OF MANHATTAN COMMUNITY COLLEGE City University of New York Department of Mathematics Elementary Algebra Class hours: 4 MAT 051 Semester: Instructor Information: Name: Email: Phone: Office: Credits: 0 Course Description: This course is the lowest level algebra course offered at the college. It includes topics such as arithmetic with integers, algebraic representation, operations with polynomials, solving linear equations, solving systems of two linear equations in two variables, exponents and radicals, factoring and graphing linear equations. Pre/Co-Requisites: Pre-Requisite: ESL 062. Students who score less than 40 on the COMPASS algebra exam are eligible to take MAT 051. Students must also have pre-algebra COMPASS score of at least 35 or have successfully completed MAT008. Student Learning Outcomes and Assessment: Course Student Learning Outcomes Measurements 1) Operations a. Radicals. Includes only square roots of nonnegative numbers. i. Simplify radical terms (no variable in the radicand). ii. Perform addition, subtraction, multiplication and division using like and unlike radical terms and express the result in simplest form. b. Scientific Notation i. Convert between standard decimal and scientific notation. ii. Understand and use scientific notation to compute products and quotients of numbers. iii. Understand and use scientific notation to compute sums and differences of numbers. c. Exponents. Multiply and divide monomial expressions with a common base using the properties of exponents. All exponents are integral. Homework, quizzes, online problem assignments, midterm, final exam, MATH CUNY-Wide EXAM 2) Variables and Expressions a. Translate a quantitative verbal phrase into an algebraic expression. b. Add and subtract monomials and polynomials. c. Multiplication of a monomial and binomial by any degree polynomial. d. Divide a polynomial by a monomial, where the quotient has no remainder. e. Factoring i. Identify and factor the greatest common factor from an algebraic expression. ii. Identify and factor the difference of two perfect squares. iii. Factor all trinomials of a single variable, including a leading coefficient other than 1. iv. Factor algebraic expressions by grouping with up to 4 terms v. Factor algebraic expressions completely where the factorization requires more than one step 3) Equations and Inequalities a. Translate verbal sentences into mathematical equations. b. Solve all types of linear equations in one variable. c. Systems of Linear Equations (2x2) i. Solve systems of two linear equations in two variables algebraically. ii. Graph and solve systems of linear equations with rational coefficients in two variables. d. Solve literal equations for a given variable.Updated 3/13/12 e. Quadratic Equations: i. Understand and apply the multiplication property of zero to solve quadratic equations with integral coefficients. ii. Solve quadratic equations with no linear term. iii. Determine the measure of a third side of a right triangle using the Pythagorean Theorem, given the lengths of any two sides. f. Linear inequalities in a single variable i. Solve linear inequalities in one variable. ii. Represent solutions to linear inequalities as a single inequality. iii. Represent the solution to a linear inequality in one variable on a number line. 4) Functions and functional notation. a. Use function notation to compute a single output for simple linear and quadratic relationships. b. Use function notation to generate a table of values. 5) Coordinate Geometry a. Slope and equations of a line i. Determine the slope of a line, given the coordinates of two points on the line. ii. Write the equation of a line, given its slope and the coordinates of a point on the line. iii. Write the equation of a line, given the coordinates of two points on the line. iv. Write the equation of a line parallel to the x – or y-axis. v. Determine the slope of a line, given its equation in any form. vi. Write and transform equations of lines in the following forms 1. Point-Slope form 2. Slope Intercept form 3. Ax + By = C form b. Draw and recognize graphs of lines. 6) Proportions and percent a. Solve simple verbal problem with two quantities that are proportional. b. Solve simple verbal problem involving a single percent and/or a single percent increase/decrease. General Education Outcomes and Assessment: General Education Learning Outcomes Measurements Communication Skills- Students will be able to write, read, listen and speak critically and effectively. Homework, quizzes, online problem assignments, midterm, final exam, MATH CUNY-Wide EXAM Quantitative Reasoning- Students will be able to use quantitative skills and the concepts and methods of mathematics to solve problems. Homework, quizzes, online problem assignments, midterm, final exam, MATH CUNY-Wide EXAM Information & Technology Literacy- Students will be able to collect, evaluate and interpret information and effectively use information technologies. Homework, quizzes, online problem assignments, midterm, final exam, MATH CUNY-Wide EXAMUpdated 3/13/12 Required Text and Readings (One of the three options* is required): 1) Lifetime Edition WebAssign access code with eBook: ISBN 0538738103 2) Lifetime Edition WebAssign access code with eBook AND Custom Elementary Algebra, 9th edition textbook, ISBN 1133851703 3) Charles Mckeague, Elementary Algebra, 9th edition, bundled with a Lifetime Edition WebAssign access code, Thomson, Brooks Cole, 2012, ISBN 0840064217. *NOTE: Options 1 and 2 are available through http://www.cengagebrain.com/micro/bmccmat. Option 3 is available through the college bookstore. Math Lab Use: The Math Lab is located in S511. You will need a valid BMCC student ID to visit the Math Lab. Tutors are available in the Math Lab for free to all BMCC students. The Math Lab has worksheets with practice problems in stock, as well as computer- and video-based tutoring. Use of Technology: All students are required to use the WebAssign online courseware system. It contains videos, homework problems, chapter tests and quizzes, step-by-step help, an online version of the textbook, and more. Students can access the online courseware only by buying a new textbook that contains a student access card or by buying a separate access code from the bookstore or the publisher (at www.webassign.net).


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