# Math and Technology Spring 2009

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1 Course Syllabus for MAT Algebraic Foundations & Elementary Algebra Reza Dai Math and Technology Spring 2009 GENERAL INFORMATION and CLASS MEETING TIMES College Credits: 4 credits Lecture: Lecture: Monday, Wednesday: 2:30 pm - 4:20 pm; Room DP-2129 Office: Des Plaines Room 2719 Telephone: (847) Instructor s URL: MyMathLab URL: MyMathLab Course ID: dai76457 OFFICE HOURS Day Hours Campus / Room Monday 12:00-12:50, and 4:30-5:20 Des Room 2719 Tuesday 10:00-12:00 On line Wednesday 12:00-12:50, and 4:30-5:20 by appointment Des Room 2719 Thursday 10:00-12:00 On line Friday 12:50-1:50 Des Room 2719 or 1722 Other times available by appointment only PREREQUISITE MAT 045 or an appropriate score on the Mathematics Placement Test. COURSE (CATALOG) DESCRIPTION Course prepares students for an introductory algebra course by covering the fundamental concepts, operations, and applications of arithmetic in basic algebraic contexts, including linear equations and graphing. Arithmetic topics include integers, fractions, decimals, percents, measurement and signed numbers. This is an introduction to sets, signed numbers, equations, exponents, polynomials, factoring and graphing. INSTRUCTIONAL MATERIALS Textbook: Custom Published by Prentice Hall, Algebraic Foundations & Elementary Algebra ISBN: Software MyMathlab software which comes either bundled with the text or in a stand-alone version. Supplies: A scientific calculator (TI-83) is highly recommended COURSE OBJECTIVES A. Perform the fundamental operations with integers. B. Perform the fundamental operations with fractions. C. Perform the fundamental operations with decimals and percents. D. Use the techniques of arithmetic to solve application problems. E. Graph and interpret points on a Cartesian coordinate system. F. Calculate measurements of geometric figures. G. Solve simple linear equations using fractions, decimals and integer numbers. H. Apply the properties and perform the fundamental operations with integers and rational numbers. I. Perform the algebraic operations and factoring with polynomials. J. Perform the algebraic operations with rational expressions. K. Solve first degree equations and inequalities in one variable.

3 OUTLINE OF TOPICS A. Integers and algebraic expressions 1. Integers on the number line 2. Addition and subtraction of integers 3. Multiplication and division of integers 4. Order of operations 5. Exponential notation 6. Introduction to algebraic expressions 7. Like terms 8. Solving equations using integers B. Fractions 1. Understanding fractions 2. Equivalent fractions 3. Factors, multiples, primes and divisibility rules 4. Multiplying and dividing 5. Adding and subtracting 6. Operations with mixed numbers 7. Comparing and ordering 8. Solving equations using fractions 9. Applications C. Decimals 1. Understanding decimals 2. Place value: reading and writing decimal numerals 3. Comparing and ordering 4. Rounding and estimating 5. Adding and subtracting 6. Multiplying and dividing 7. Conversions: fractions, mixed numerals, decimals 8. Solving equations using decimals 9. Applications D. Ratio and proportion 1. Introduction to ratios 2. Rates and unit prices 3. Proportions 4. Applications E. Percent 1. Understanding percent 2. Conversions: fractions, decimals, percent 3. Solving percent problems using equations 4. Solving percent problems using proportions 5. Applications G. Geometry and measurement 1. Perimeter 2. Area, Volume H. Integers and Rational Numbers 1. Graphical representation 2. Fundamental operations 3. Algebraic expressions 4. Exponential notations 5. Order of operations I. First-Degree Equations and Inequalities in One Variable 1. Solution of equations and inequalities 2. Graphing inequalities 3. Formulas 4. Applications J. Polynomials and Exponents 1. Fundamental operations 2. Factoring K. Rational Expressions and Equations 1. Reducing to lowest terms 2. Fundamental operations 3. Solving equations with monomial denominators 4. Solving proportions 5. Applications L. First-Degree Equations and inequalities in two variables. 1. Solutions of equations 2. Slope of a line 3. Graphing 4. Graphical solution of systems 5. Algebraic solution of systems 6. Applications M. Quadratic Equations 1. Solutions by factoring 2. Solutions by square roots of perfect squares 3. Applications F. Introduction to graphing 1. Tables and pictographs 2. Bar graphs and line graphs 3. Ordered pairs and linear equations in two variables MAT051 Course Syllabus Page 3 of 6

4 TENTATIVE COURSE SCHEDULE The following is intended to be an accurate outline of the course, but the instructor reserves the right to make modifications dependent upon pace and progress, and potential class cancellations, e.g. snow days Date Class Material Assignments / Notes Wed Jan 21 Chapter 2: Introduction to Solving Equations Mon Jan 26 Chapter 2 Wed Jan 28 Chapter 3: Solving Equations and Problem Solving Quiz 2 Mon Feb 02 Chapter 3 Wed Feb 04 Chapter 4: Fractions and Mixed Numbers Quiz 3 Mon Feb 09 Chapter 4 Wed Feb 11 Exam 1 Covers Chapters 2, 3, and 4 Mon Feb 16 College closed Presidents Day holiday Wed Feb 18 Chapter 5: Decimals Mon Feb 23 Chapter 5 Wed Feb 25 Chapter 6: Percent Quiz 5 Mon Mar 02 Chapter 6 Wed Mar 04 Chapter 9: Equations, Inequalities and Problem Solving Quiz 6 Mon Mar 09 Chapter 9 Wed Mar 11 Exam 2 Covers Chapters 5, 6, and 9 Mon Mar 16 College closed Spring Recess Wed Mar 18 College closed Spring Recess Mon Mar 23 Chapter 10: Exponents and Polynomials Wed Mar 25 Chapter 10 Mon Mar 30 Chapter 11: Factoring Polynomials Quiz 10 Wed Apr 01 Chapter 11 Mon Apr 06 Chapter 12: Rational Expressions Quiz 11 Wed Apr 08 Chapter 12 Mon Apr 13 Review Quiz 12 Wed Apr 15 Exam 3 Covers Chapter 10, 11, and 12 Mon Apr 20 Chapter 13: Graphing Equations and Inequalities Wed Apr 22 Chapter 13 Mon Apr 27 Chapter 14: Systems of Equations Quiz 13 Wed Apr 29 Mon May 04 Chapter 16: Quadratic Equations Chapter 14 Wed May 06 Chapter 16 Mon May 11 Quiz 14, and 16 Wed May 13 Review Mon May 18 Cumulative Final Exam Covers 2-6, 9-14, 16 Wed May 20 MAT051 Course Syllabus Page 4 of 6

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