Course MAT 0022C Developmental Mathematics II Reference Number 763816 Semester 2013-1 Fall 2013 Instructor Name Claude Sassine Textbook Title, Edition and Author MAT 0018 and MAT 0022C Second Custom Edition for Miami Dade College - North Campus by Tom Carson and Bill Jordan (Pearson Publishing Company) Calculator Policy Note: Includes MyMathLab when purchased new. The use of a calculating device, cellphones or any electronic devices of any kind are not permitted. Class Times MW 10:00 – 10:50 AM TR 11:15 – 12:30 PM MW 11:00 – 11:50 AM (Lab) Instructor Office Location 7330 Instructor Office Hours MW 10:15 – 11:15 AM Instructor Phone Number 305-237-1358 Instructor Email Address csassine@mdc.edu Attendance Policy Students with 3 or more unexcused absences may be withdrawn by the instructor. Students are still responsible for withdrawing themselves if they want to receive a “W”. Academic Dishonesty Policy Students may be penalized on an assignment grade or receive the overall grade in the course if they cheat. Please refer to the Student Rights and Responsibilities Handbook for the official Academic Dishonesty Policy. http://www.mdc.edu/policy/student_rights_and_responsibilities.pdf Make-Up Policy Make-up tests will not be given except under extreme documented circumstances, and a penalty may be imposed at the discretion of the instructor. MyMathLab Access and Technical Support Instructions for Accessing this required website are attached. If you have any difficulty accessing this website Contact Product Support at http://www.mymathlab.com/student-support for live CHAT, FAQ’s or email, or phone support at 1-800-677-6337. If you experience long wait times, please document your wait time and report it to the Math Department via email. MyMathLab Tutors Purchasing MyMathLab If you experience technical problems and you have been assigned an incident number, but you have not received assistance, email the Chairperson. Math tutoring services are provided through http://www.pearsontutorservices.com/ This tutoring service charges an additional fee and is not included in MyMathLab. You must purchase an Access Code in order to use MyMathLab. If you cannot afford to purchase the access code right away, temporary access is available through the website. If you can document that your financial aid has been delayed, the mathematics department can loan you an access code. Call 305-237-1358 for more information. If you have taken MAT 0018/MAT 0022C/ MAT 0028 before with this same textbook, you do not need to purchase a new Access Code. Course ID mdcnorth92421 Chairperson of the Dept of Math. Dr. Vincent Bates ADA In compliance with the Americans with Disabilities Act (ADA), all qualified students enrolled in this course are entitled to reasonable accommodations. Please notify the instructor during the first week of class of any accommodation needed for this course. 305-237-1358 Grading Policy: There are three possible grades in this course, ‘S’, ‘P’, and ‘U’. A grade of ‘S’ means Satisfactory, and promotes the student to the next course, MAT 1033. A grade of ‘P’ means Progress, and student must enroll in MAT 0028 or MAT 0022C. A grade of ‘U’ means Unsatisfactory, and student must enroll in MAT 0028 or MAT 0022C. These grades, ‘S’, ‘P’, and ‘U’, will be awarded based on the following requirements. S – Satisfactory: To pass the course with an ‘S’ – ALL of the following conditions must be met: 1) Satisfactory attendance in the course. 2) Average 70% or higher on all assignments. 3) Completed at least 90% of all scheduled lab time and 90% of the required 16 hours of math center time, with documentation of extreme circumstances for any missed time. P – Progress: To pass the course with a ‘P’ – the following conditions must be met: 1) Satisfactory attendance in the course. 2) Maintained a minimum of 60% average in the course. 3) Completed at least 60% of all scheduled lab and 60% of the required 16 hours of math center time 4) Unsuccessful in meeting the standards for a grade of ‘S’ This indicates that, although a student has acquired some knowledge, the student is not ready for MAT 1033. Students must repeat MAT 0028 or take MAT 0022C. U – Unsatisfactory: Student did not meet requirements for ‘S’ or ‘P’ and must repeat the course. Any student who stops showing up and fails to withdraw from the course will get a grade of ‘U’. This ‘U’ will adversely affect your GPA so be careful! 2 GRADING POLICY Grade Weights by Category Category of Assignments Category Points Percentage Homework Assignments 150 points 15% 4 Tests (best 3 of these) 300 points 30% Two Departmental Tests Exam #3 – Chapters 8.2, 8.3, Chapter 9 and 10.1 Exam #5 – Chapter 13 Scores on these tests must be counted - no drops on these tests College-wide Departmental Final Exam 200 points 20% 350 points 35% TOTAL: 1000 points 100% Additional Requirements Workbook During the scheduled Lab students must complete the guided exercises in the workbook. 100% Satisfactory Completion Math Resource Center: Students are invited to visit the professor during advisement hours. Additional support is available in the Math Resource Center (located in Room 2222), which is also where the “16 hour open lab” requirement will be completed if it is not met by the scores on MyMathLab quizzes. Note: Computers are available at the Math Center for working on MyMathLab assignments. Computers are also available in the Computer Courtyard located on the first floor of the library, however, you will not earn open lab hours while you work in the Computer Courtyard. Math Resource Center – Hours of Operation Monday – Thursday: 8:00 AM – 8:45 PM Friday: 8:00 AM – 5:45 PM Saturday: 9:00 AM – 3:45 PM 3 MIAMI-DADE COLLEGE LEARNING OUTCOMES Purpose: Through the academic disciplines and co-curricular activities, General Education provides multiple, varied, and intentional learning experiences to facilitate the acquisition of fundamental knowledge and skills and the development of attitudes that foster effective citizenship and life-long learning. As graduates of Miami Dade College, students will be able to: 1. Communicate effectively using listening, speaking, reading, and writing skills. This outcome will be addressed through questions that are open-ended (not multiple choice) on all tests and assessments described in the syllabus, as well as through class participation. 2. Use quantitative analytical skills to evaluate and process numerical data. In this course students will need to read and identify data from graphs and charts. Students will also learn to develop quantitative skills to interpret data from graphs. Also, students will solve algebraic equations and inequalities and manipulate data through unit analysis. 3. Solve problems using critical and creative thinking and scientific reasoning. In the process of solving mathematical problems, students will need to use critical thinking skills to interpret solutions. Creativity in solving problems is constantly encouraged in this course and viewed as an important skill in mathematics. Critical thinking skills are heavily emphasized in this course. 4. Formulate strategies to locate, evaluate, and apply information. In this course students will often need to solve real-life word problems which apply the mathematical concepts presented. Students will work to solve these problems and identify relevant information in the problems in order to be able to solve them. 5. Demonstrate knowledge of diverse cultures, including global and historical perspectives. In this course, whenever possible, students will be introduced to the use of mathematics through diverse cultures as well as historical notes on the mathematical concepts you learn. 6. Create strategies that can be used to fulfill personal, civic, and social responsibilities. This outcome is not reinforced in this course. 7. Demonstrate knowledge of ethical thinking and its application to issues in society. This outcome is not reinforced in this course. 8. Use computer and emerging technologies effectively. In this course students will be sent information about the course via email. Students will also be required to use online software to complete assignments. 9. Demonstrate an appreciation for aesthetics and creative activities. This outcome is not reinforced in this course. 10. Describe how natural systems function and recognize the impact of humans on the environment. This outcome is not reinforced in this course. 4 Coverage of Topics The department requires that you discuss all the topics listed for this course so that the students are prepared when they enter the next level. The arithmetic and algebra in this course is presented in an integrated fashion. Do not spend more than 15 hours of class time on concepts from arithmetic. Sections 1.1 1.2 – 1.4 1.5 2.1 2.2 – 2.4 2.5 2.6 3.1 3.2 3.3 3.4 3.5 Topics Sections 5.3, 5.4 5.5 6.1 6.2 Introduction to Numbers, Notation and Rounding Operations on Whole Numbers 8.1 Order of Operations 8.2 Introduction to Integers 8.3 Operations with Integers; Solving Equations 9.1 Order of Operations 9.2 Additional Applications 9.3 Equations and Their Solutions 9.4 Formulas and Problem Solving 9.5 The Addition Principle of Equality 10.1 The Multiplication Principle of Equality 11.1 Translating Word Phrases to Expressions and 11.2-11.3 Word Sentences to Equations Applications and Problem Solving 11.4 Prime Numbers and GCF 12.1;12.2 Introduction to Fractions 12.3 Simplifying Fractions and Rational Expressions 12.4 Multiplying Fractions, Mixed Numbers and 12.5 Rational Expressions Dividing Fractions, Mixed Numbers and Rational 12.6 Expressions Least Common Multiple 13.1 Adding and Subtracting Fractions, Mixed 13.2 Numbers and Rational Expressions Order of Operations; Evaluating and Simplifying 13.3 Expressions Solving Equations 13.4 Introduction to Decimal Numbers ; Adding & 13.5 Subtracting Multiplying & Dividing Decimal Numbers 13.6 Order of Operations with Decimals 14.1 Ratios, Probabilities and Rates 14.2 Proportions 14.3 6.3 American Measurement; Time 14.4 6.4 Metric Measurement 15.1;15.2 6.5 7.1 7.2 7.3 Converting between Systems; Temperature Introduction to Percent Solving Basic Percent Sentence Solving Percent Problems 15.3 15.4 7.4 Problems Involving % of Increase or decrease 3.6 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.1, 5.2 5 Topics CONTINUED FROM PREVIOUS COLUMN Number Sets and properties of Real Numbers Exponents, Roots, and Order of Operations Translating and Simplifying Expressions Solving Linear Equations Applying the principles to Formulas Translating Word Sentences to Equations Graphing Inequalities on a Number Line Solving Linear Inequalities Problems with two or more Unknowns The Rectangular Coordinate System Graphing Linear Equations; Graphing Using Intercepts Slope & Slope-Intercept Form of a Line Exponents & Scientific Notation; Intro to Polynomials Adding and Subtracting Polynomials Exponent Rules for Multiplying Monomials Multiplying Polynomials; Special Products Exponent Rules for Dividing Monomials; Dividing a Polynomial by a Monomial GCF and Factoring by Grouping Factoring Trinomials of the form x2+bx +c Factoring Trinomials of the form ax2+bx +c where a1 Factoring Special Products Strategies for Factoring Solving Quadratic Equations by Factoring Simplifying Rational Expressions Multiplying and Dividing Rational Expressions Adding and Subtracting Rational Expressions with the same Monomial Denominator Adding and Subtracting Rational Expressions with the different Monomial Denominators Square Roots and Radical Expressions Multiplying & Simplifying Square Roots Dividing & Simplifying Square Roots Addition, Subtraction, and Mixed Operations with Square Roots Tentative Course Timeline: 1 2 3 1 1.1 Orientation / Introduction to Numbers, Place Value, and Rounding 2 1.2 – 1.3 Adding and Subtracting Whole Numbers / Multiplying Whole Numbers; Exponents 3 1.4 Dividing Whole Numbers 4 1.5 Order of Operations 5 2.1 – 2.2 Intro to Integers / Adding Integers 6 2.3 – 2.4 Subtracting Integers / Multiplying and Dividing Integers; Square Roots 7 2.5 Order of Operations 8 3.1 – 3.2 Equations and Their Solutions / Formulas and Problem Solving 9 3.3-3.4 The Addition Principle of Equality /The Multiplication Principle of Equality 10 3.5 Translating Word Phrases to Expressions and Word Sentences to Equations 11 3.6 Applications and Problem Solving 12 4.1-4.2 Prime Numbers and GCF/Introduction to Fractions 13 4.3 Simplifying Fractions and Rational Expressions Exam 1 Sections 1.1 – 1.5, 2.1 – 2.5, 3.1 – 3.6, 4.1-4.3 14 4.4-4.5 17 More 4.7 Multiplying Fractions, Mixed Numbers and Rational Expressions / Dividing Fractions, Mixed Numbers, and Rational Expressions (Omit examples and exercises Involving Fractions with Variables) Least Common Multiple / Adding and Subtracting Fractions, Mixed Numbers, and Rational Expressions (Omit examples and exercises Involving Fractions with Variables) Adding and Subtracting Fractions, Mixed Numbers, and Rational Expressions 18 4.8-4.9 Order of Operations; Evaluating and Simplifying Expressions/Solving Equations 18 5.1 – 5.2 Introduction to Decimal Numbers / Adding and Subtracting Decimal Numbers 17 5.3 – 5.4 Multiplying Decimal Numbers / Dividing Decimal Numbers; Square Roots with Decimals 18 5.5 Order of Operations and Applications in Geometry 15 16 4 5 6 7 8 4.6-4.7 19 Exam 2 Sections 4.4-4.9, 5.1 - 5.5 20 6.1 Ratios Probabilities and Rates 21 6.2 Proportions 22 6.3-6.4-6.5 American Measurement; Time/Metric System/ Converting b/w Systems; temperature 23 7.1-7.2 Introduction to Percent/ Solving Basic Percent Sentences 24 7.3-7.4 25 8.1 Solving Percent Problems (Portions)/SOLVING Problems Involving Percent of Increase or Decrease Number Sets and Properties of Real Numbers 26 8.2-8.3 Exponents, Roots, and Order of Operations Translating and Simplifying Expressions Exam 3 Sections 6.1 - 6.5, 7.1 – 7.5, 8.1-8.3 28 9.1-9.2 Solving Linear Equations /Applying the Principles to Formulas Solving Linear Inequalities Problems with Two or More Unknowns 29 9.3-9.4 Translating Word Sentences to Equations/ Graphing Inequalities on a Number Line 27 9 10 11 12 13 14 26 9.5 Solving Linear Inequalities 27 10.1 Problem with Two or More Unknowns 28 11.1-11.2 The Rectangular Coordinate System / Graphing Linear Equations 29 11.3 Graphing Using Intercepts 30 11.4 Slope-Intercept Form 31 12.1 Exponents and Scientific Notation 32 12.2 Introduction to Polynomials 33 12.3 Adding and Subtracting Polynomials 34 12.4 Exponent Rules and Multiplying Monomials 35 12.5 Multiplying Polynomials; Special Products 36 12.6 Exponent Rules and Dividing Polynomials By Monomial 37 38 13.1 Greatest Common Factor and Factoring by Grouping 39 13.2 Factoring Trinomials of the Form x² + bx + c 40 13.3 Factoring Trinomials of the Form ax² + bx + c where a ≠ 1 41 13.4 Factoring Special Product 42 13.5 Strategies for Factoring 43 13.6 Solving Quadratic Equations by Factoring 44 Review Review for Exam 5 - Departmental Exam (Factoring Polynomials) 45 (Departmental) Exam 5 Sections 13.1 – 13.6 46 14.1 Simplifying Rational Expressions 47 14.2 Multiplying and Dividing Rational Expressions 48 14.3 Adding and Subtracting Rational Expressions with the Same Denominator 49 14.4 Adding and Subtracting Rational Expressions with Different Denominators 50 15.1 Square Roots and Radical Expressions 51 15.2 Multiplying and Simplifying Square Roots 52 15.3 Dividing and Simplifying Square Roots 23 15.4 Addition, Subtraction, and Mixed Operations with Square Root 54 15 (Departmental )Exam 4 Sections 8.1, 8.2, Chapter 9, 10.1 Exam 6 Sections 14.1 – 14.4, 15.1 – 15.4 55 Final Review 56 Final Review 16 Final Exam 8 Course Objectives: This course prepares students for the successful study of Intermediate Algebra. Course Learning Outcomes: At the completion of this course, a student will be able to: Perform any combination of operations on whole numbers. List all factors of a given whole number and write the prime factorization of a given whole number Change improper fractions to mixed numbers and mixed numbers to improper fractions. Add, subtract, multiply, and divide fractions or mixed numbers. Do any combination of operations with fractions. Change decimals to fractions. Round off a given decimal, or write approximate decimal as indicated. Add, subtract, multiply, and divide decimals. Work with numbers in scientific notation. Solve a proportion. Solve word problems using proportions. Convert any number from one of its form (fraction, decimal, percent) to another. Solve problems written in the form "A is R% of B" or "R% of B is A." Solve percent word problems. Simplify numerical expressions using the rule for order of operations. Simplify numerical expressions using the rule for order of operations. Add, subtract, multiply, and divide real numbers. Comparing signed numbers using <, >, =, >, or < . Recognize the commutative, associative, identity, inverse, and distributive properties of real numbers. Determine the absolute values of signed numbers. Add and subtract absolute values. Combine like terms. Solve first-degree equations including those that have fractional and decimal coefficients. (These should include linear equations that have “no solutions” – contradictions or have “all real numbers as solutions” - identities) Solve for variables that are used in elementary formulas. Solve elementary word problems. (Including: number problems, geometry problems, and proportion problems.) 9 Solve first-degree inequalities and graph each solution set. Writing the solution set for Inequalities using Interval Notation. Graphing and Applications. Graphing Linear Equations. Determining the intercepts of a linear equation. Find the slope of a line from slope formula, graph, and equation. Use the elementary properties of exponents to simplify exponential expressions. Conversion of numbers to Scientific Notation and conversion of Scientific Notation to decimal form. Multiply and divide numbers that are in scientific notation. Add, subtract, multiply, and divide monomials. Add, subtract, and multiply polynomials. Factor polynomial expressions by taking out the greatest common factor. Factor by grouping. Factor trinomials. Factor the difference of two squares. Factor the sum and difference of two cubes. Solve quadratic equations by factoring. Solving application problems involving geometry (area with algebraic expressions & Pythagorean Theorem) Reduce rational expressions involving polynomials. Multiply and divide rational expressions. Add and subtract rational expressions with monomial denominators. Simplify basic radical expressions. Multiply and simplify radical expressions. Rationalize the denominator (monomials only). Add or subtract simplified radical expressions. Convert units of measurements across measurement systems. MyMathLab Welcome Students! MyMathLab is an interactive website where you can: Self-test & work through practice exercises with step-by-step help to improve your math skills. Study more efficiently with a personalized study plan and exercises that match your book. Get help when YOU need it. MyMathLab includes multimedia learning aids, videos, animations, and live tutorial help. Before You Begin: To register for MyMathLab, you need: A MyMathLab student access code (packaged with your new text, standalone at your bookstore, or available for purchase with a major credit card at www.pearsonmylab.com) Your instructors’ Course ID:__________________________ A valid email address Student Registration: Enter www.pearsonmylab.com in your web browser. Under Register, click Student. Enter your Course ID exactly as provided by your instructor and click Continue. Your course information appears on the next page. If it does not look correct, contact your instructor to verify the Course ID. Sign in or follow the instructions to create an account. Use an email address that you check and, if possible, use that same email address for your username. Read and accept the License Agreement and Privacy Policy. Click Access Code. Enter your Access Code in the boxes and click Next. If you do not have an access code and want to pay by credit card or PayPal, select the access level you want and follow the instructions. You can also get temporary access without payment for 17 days. Once your registration is complete, a Confirmation page appears. You will also receive this information by email. Make sure you print the Confirmation page as your receipt. Remember to write down your username and password. You are now ready to access your resources! Signing In: Go to www.pearsonmylab.com and click Sign in. Enter your username and password and click Sign In. On the left, click the name of your course. The first time you enter your course from your own computer and anytime you use a new computer, click the Installation Wizard or Browser Check on the Announcements page. After completing the installation process and closing the wizard, you will be on your course home page and ready to explore your MyMathLab resources! Need help? Contact Product Support at http://www.mymathlab.com/student-support for live CHAT, email, or phone support. 10 MAT 0028 TRANSLATION OF SECTIONS FROM OLD BOOK TO NEW BOOK (13-1) OLD EDITION 1.1 1.2 1.3 1.4 1.5 1.6 2.1 2.2 2.3 2.4 2.5 2.6 4.1 4.2 4.3 3.3 5.1 5.2 5.3 5.4 5.5 5.6 5.7 6.1 6.2 6.3 6.4 6.5 8.2 8.3 NO CORRESPONDING SECTION 9.1 9.2 10.1 10.2 10.3 10.4 11.1 7.3 7.4 NO CORRESPONDING SECTION (CONVERTING BETWEEN SYSTEMS; TEMPERATURE) NEW EDITION 1.1 1.2 1.3 1.4 1.5 3.2 2.1 2.2 2.3 2.4 2.5 2.6 3.1 3.3 3.4 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 5.1 5.2 5.3 5.4 5.5 9.1 9.2 8.1 (OPTIONAL) 8.2 8.3 9.1 9.2 9.3 9.4, 9.5 NO CORRESPONDING SECTIONS IN THE NEW 0028 BOOK. CORRESPONDING SECTIONS ARE IN THE FULL 0018/0022 BOOK (CHAPTERS 6 & 7). THESE CHAPTERS WILL BE AVAILABLE TO ALL 0028 STUDENTS ONLINE: 6.1 – 6.2 SEE NOTE ABOVE: 6.3 SEE NOTE ABOVE: 6.4 SEE NOTE ABOVE: 6.5 11 11.2 11.3 12.1 12.2 12.3 12.4 13.1 13.2 13.3 13.4 13.5 13.6 14.1 14.2 14.3 14.4 14.5 14.6 15.1 15.2 15.3 15.4 16.1 16.2 16.3 16.4 SEE NOTE ABOVE: 7.1 – 7.4 (OMIT 7.5) 10.1 (OMIT 10.2, 10.3) 11.1 11.2 11.3 11.4 12.1 12.2 12.3 12.4 12.5 12.6 13.1 13.2 13.3 13.4 13.5 13.6 14.1 14.2 14.3 14.4 15.1 15.2 15.3 15.4 12