Math 060 and 070: Elementary and intermediate Algebra Fall 2017

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1 Math 060 and 070: Elementary and intermediate Algebra Fall 2017 Instructor Dr. Ruzanna Baytaryan Office HSLH 341 Phone Office Hours TWTH 9:30AM-10:50AM or by appointment Website Text Elementary and Intermediate Algebra, Sullivan, M. III, Struve, K. R, & Mazzarella, J. (3rd.ed) Nothing is troublesome that we do willingly. Thomas Jefferson Supplies You will need a scientific calculator for some homework exercises. You may purchase any inexpensive scientific calculator. However, no calculators will be used on tests or final exam. Math 060 Course Description Designed to develop beginning algebra skills, including the fundamental concepts of operating within the real number system, working with first degree equation in one unknown, identifying and evaluating functions, factoring and multiplication of polynomials, and working with algebraic functions, linear equations and graphs, systems of linear equations, exponents, and radicals, quadratic equations, and applications. Math 060 Student Learning Outcomes: By the completion of the course a student should be able to 1. Analyze and solve problems involving linear and quadratic equations. 2. Factor polynomials. Math 070 Course Description Examines higher degree and rational equations and inequalities, functions and graphs, systems of equations, exponential and logarithmic functions, and introduction to sequences. Math 070 Student Learning Outcomes: SOLVE RADICAL, QUADRATIC, EXPONENTIAL AND LOGARITHMIC equations

2 Homework Quizzes Homework will be assigned at the end of each class period. It is extremely important to keep up with the assignments. This is a college class, so you are expected to spend about two hours for each hour in class outside of class working on the course material. Moreover, for more students, there is a direct correlation between the effort made to complete homework assignments and mastery of the material. Motivation, tenacity, and positive attitudes are keys to an individual s success. So, let s succeed! Homework, however, will not be collected. Instead, random quizzes will be given throughout the semester. The quiz problems will be taken verbatim from previously assigned homework assignments and/or lecture notes. No makeup quiz will be given under any circumstances. Your lowest quiz score will be dropped. Group- work Most days in class you will be assigned to work with a group 2 or 3 other students. Problems will be assigned for - your group to work on. Each group will submit one set of solutions for each assignment. No makeup group-work will be given under any circumstances. Exams You will have five chapter exams and a comprehensive final exam. Do not miss them! No makeup test will be given under any circumstances. If you know in advance that you will miss an exam, then it is possible to arrange to take it in advance, but no exam will be given after the class has taken it. Your lowest test score may be replaced by your final exam score to improve your final grade. I strongly recommend that you keep all quizzes, groupworks, and exams until you receive your course grade in case you have questions regarding your grade. Grading Your final grade will be computed from your quizzes and group works, chapter tests, and your final exam scores. Any missing exam will be scored zero. The following grade-calculation grid will be used to determine your final grade. Homework (Quizzes) and Group-work Average Grade Percentage Weight Total X 15% (0.15) = Chapter Exam Average X 60% (0.60) = Final Exam X 25% (0.25) = Overall grade percentage in class Grading Scale: A = % C = 70 79% F = Below 60% B = 80 89% D = 60 69%

3 Attendance We have a lot of material to cover and understand, so regular attendance is crucial to your success in the class. Please come on time and stay for the duration of the class. If you cannot attend regularly, on time, and stay for the entire class, you should take this class at another time that fits your schedule. Students arriving late or leaving early, without authorization from the instructor, may be marked tardy. Two recorded tardies will count as one absence. Excessive absences may result in being dropped from the class. However, it is your responsibility to officially drop the course. Expectations A collaborative and respectful environment is anticipated. I expect you to come to class with a commitment to learn and to take responsibility for your learning. This means participating in the discussions and in-group work, taking notes, and helping others to learn. Please ask questions and let me know if you have difficulties. If you feel you may need an accommodation based on the impact of a disability, please contact me privately to discuss your specific needs. You will be asked to leave if you engage in any inappropriate behavior during class. Cell phones are to be turned off during class. Neither food nor drinks are allowed in the classroom with the exception of bottled water. Full Semester Length Class Deadlines: Refund September 3 Add September 3 Drop w/o a W September 3 Pass/No Pass September 22 Drop w/ a W November 12 Short Term Class Deadlines: Deadline dates for short term classes are calculated by the variables below. Refund 10% of course length Add 20% of course length Drop w/o a W 20% of course length Pass/No Pass 30% of course length Drop w/ a W 75% of course length

4 Academic Assistance Homework, concept, and test preparation help is available at The Learning Center (TLC), located next to the Library on the Valencia Campus and in room 306 on the Canyon Country Campus. Please note, homework will not be done for you, but you will receive valuable assistance from friendly and helpful tutors in learning and clarifying the processes of solving math problems. Fall 2017 Tutoring Hours: Valencia Campus: 8:00 a.m. 8:00 p.m. Monday Thursday; 9:00 a.m. 1:00 p.m. Friday and Saturday Canyon Country Campus: 9:00 a.m. 7:00 p.m. Monday Thursday SIGMA (Supplemental Instruction for Gaining Master in Algebra and Arithmetic) College of the Canyons is offering a series of skills building guided learning activities (GLA) and test preparation jams to promote student success in courses throughout the college. These activities are designed to review various topics from the previous math classes, reinforce the concepts covered in Math 060, and to study for the coming chapter tests. The activities that are most relevant to this course will be specified by the instructor. Furthermore, all of these activities will be completed in the SIGMA Math Achievement Center in the TLC. You will need to take your student ID card (not just the number) or any Photo ID to be logged into the system at the front counter. Check the Skills4Success website at for the workshop schedule. MANAGEMENT OF STRESS AND MENTAL HEALTH: Often the pressure on our students is very strong, involving academic commitments, relationships, outside jobs and family pressure to name a few. The staff and faculty of College of the Canyons are here to see you succeed academically and care about your emotional and physical health. You can learn more about the broad range of confidential student services, including counseling and mental health services available on campus by visiting the Student Health & Wellness Center in the Student Services Building (across from the bookstore) or by clicking on The phone number is Also, the National Suicide Hotline number is All students at COC are encouraged to enter that phone number in their cells. You can it call when you, or someone you know, is having thoughts of suicide or is in severe distress.

Math 060 L e c t u r e O U T L I N E M-TH Fall 2017 This schedule is tentative. It is subject to change. 08/21/17 08/22/17 08/23/17 08/24/17 Week 1 Introduction, Pretest 2.

5 Math 060 L e c t u r e O U T L I N E M-TH Fall 2017 This schedule is tentative. It is subject to change. 08/21/17 08/22/17 08/23/17 08/24/17 Week 1 Introduction, Pretest 2.2 Linear Equations: Using the Addition and Multiplication Properties Together 2.3 Solving Linear Equations Involving Fractions and Decimals; Classifying Equations 2.4 Evaluating Formulas and Solving Formulas for a Variable 2.5 Problem Solving: Direct Translation 2.6 Problem Solving: Problems Involving Percent 2.6 Problem Solving: Problems Involving Percent 2.7 Problem Solving: Geometry and Uniform Motion 08/28/17 08/29/17 08/30/17 08/31/17 Week Solving Linear Inequalities in One Variable 3.1 The Rectangular Coordinate System and Equations in Two Variables 3.2 Graphing Equations in Two Variables 3.3 Slope Test-1 ( ) 3.4 Slope-Intercept Form of a Line 3.5 Point-Slope Form of a Line 09/04/17 09/05/17 09/06/17 09/07/17 Week 3 HOLIDAY 3.6 Parallel and Perpendicular Lines 4.1 Solving Systems of Linear Equations by Graphing 4.2 Solving Systems of Linear Equations Using Substitution 4.3 Solving Systems of Linear Equations Using Elimination 4.4 Solving Direct Translation, Geometry, and Uniform Motion Problems Using Systems of Linear Equations 09/11/17 09/12/17 09/13/17 09/14/17 Week Solving Mixture Problems Using Systems of Linear Equations 5.1 Adding and Subtracting Polynomials 5.2 Multiplying Polynomials: The Product and Power Rules Test-2 ( , ) 5.3 Multiplying Polynomials 5.4 Dividing Monomials: The Quotient Rule and Integer Exponents

6 09/18/17 09/19/17 09/20/17 09/21/17 Week Dividing Polynomials 5.6 Applying Exponent Rules: Scientific Notation 6.1 Greatest Common Factor and Factoring by Grouping 6.2 Factoring Trinomials of the Form 2 x bx c Test-3 ( ) 6.3 Factoring Trinomials of the Form 2 ax bx c; a Factoring Special Products 09/25/17 09/26/17 09/27/17 10/28/17 Week Summary of Factoring Techniques 6.6 Solving Polynomial Equations by Factoring 6.7 Modeling and Solving Problems with Quadratic Equations 7.1 Simplifying Rational Expressions 7.2 Multiplying and Dividing Rational Expressions Test-4( ) 10/02/17 10/03/17 10/04/17 10/05/17 Week Adding and Subtracting Rational Expressions with Common Denominator 7.4 Finding the Least Common Denominator and Forming Equivalent Rational Expressions 7.5 Adding and Subtracting Rational Expressions with Unlike Denominators 7.6 Complex Rational Expressions 7.6 Complex Rational Expressions 7.7 Rational Equations 7.8 Models Involving Rational Equations 10/09/17 10/10/17 10/11/17 Final Exam Review 10/12/17 FINAL EXAM Week 8 Test-5 ( )

7 Math 070 L e c t u r e O U T L I N E M-TH Fall 2017 This schedule is tentative. It is subject to change. 10/16/17 10/17/17 10/18/17 10/19/17 Week Graphs of Equations 8.2 Relations 8.3 An Introduction to Functions 8.4 Functions and their Graphs 8.5 Linear Functions and Models 8.6 Compound Inequalities 10/23/17 10/24/17 10/25/17 10/26/17 Week Absolute Value Equations and Inequalities 9.1 Square Roots 9.2 nth Roots and Rational Exponents Test-1( ) 9.2 nth Roots and Rational Exponents 9.3 Simplifying Expressions Using the Laws of Exponents 10/30/17 10/31/17 11/01/17 11/02/17 Week Simplifying Expressions Using the Laws of Exponents 9.4 Simplifying Radical Expressions Using Properties of Radicals 9.5 Adding, Subtracting, and Multiplying Radical Expressions 9.6 Rationalizing Radical Expressions 9.6 Rationalizing Radical Expressions 9.7 Function Involving Radicals 9.8 Radical Equations and Their Applications 11/06/17 11/07/17 11/08/17 11/09/17 Week The Complex Number System 10.1 Solving Quadratic Equations by Competing the Square 10.2 Solving Quadratic Equations by Quadratic Formula Test-2 ( ) 10.3 Solving Equations Quadratic in Form 10.4 Graphing Quadratic Functions Using Transformations

11/13/17 11/14/17 11/15/17 11/16/17 Week 13 10.5 Graphing Quadratic Functions Using Properties 10.

7) 11/20/17 11/21/17 11/22/17 11/23/17 Week 14 11.2 Exponential Functions 11.3 Logarithmic Functions 11.

5 Exponential and Logarithmic Equations 11/27/17 11/28/17 11/29/17 11/30/17 Week 15 Test-4 (11.1-11.

8 11/13/17 11/14/17 11/15/17 11/16/17 Week Graphing Quadratic Functions Using Properties 10.6 Quadratic Inequalities 10.7 Rational Inequalities 11.1 Composite and Inverse Functions Test-3 ( ) 11/20/17 11/21/17 11/22/17 11/23/17 Week Exponential Functions 11.3 Logarithmic Functions 11.4 Properties of Logarithms 11.5 Exponential and Logarithmic Equations 11/27/17 11/28/17 11/29/17 11/30/17 Week 15 Test-4 ( ) Appendix-C2: Systems of Linear Equations in 3 Variables 12.1 Distance and Midpoint 12.2 Circles 12.4 Ellipses 12.5 Hyperbolas 12/04/17 12/05/17 12/06/17 12/07/17 Week Sequences and Series Test-5 (C2, ) Final Exam Review FINAL EXAM (Part-2)

9 Math 060 Homework: Fall 2017 Chapter-1: Operations on Real Numbers and Algebraic Expression Review Problems (Optional) Read 1.1 Success in Mathematics Pg eoo (every other odd) Chapter-2: Equations and Inequalities in One Variable 2.1 Linear Equations: The Addition and Multiplication Properties of Equality (Optional) 1, 6, 14, 25-97eoo, Linear Equations: Using the Properties Together 2.3 Solving Linear Equations Involving Fractions and Decimals; Classifying Equations 1, 17, 21-81eoo, 83, 85, 91, 93, all 1, 4, 7, 10, 15, 20, 21, 27-99eoo, odd, all 2.4 Evaluating Formulas and Solving for a Variable 1, 6, 8-13, 23-95eoo, all 2.5 Introduction to Problems Solving: Direct Translation Problems 13,18, 27-91odd, 93-96all 2.6 Problem Solving: Direct Translation Problems Involving Percent 1, 2, odd, 66, 67all 2.7 Problem Solving: Geometry and Uniform Motion 1, 4, 6, 7, 10, 13-53odd, 55-57all 2.8 Solving Linear Inequalities in One Variable 1, 6, 7, 12, 13, 18, 19, eoo, odd, all Chapter-3: Introduction to Graphing and Equations of Lines 3.1 The Rectangular Coordinate System and Equations in Two Variables 3.2 Graphing Equations in Two Variables 3.3 Slope 1-4, 8, 21, 27, 29, 33, 35, 37, 43, 55, 57, 59, 65, 73, 75, 77, 85 1, 4, 8, 12,15, 21, 22, eoo, odd, all 1-4, 7, 13-73eoo, odd, 87, 88

10 3.4 Slope-Intercept Form of a Line 3.5 Point-Slope Form of a Line 3.6 Parallel and Perpendicular Lines 1, 21-89eoo, odd, 103, 104, 105 1, 2, 11, 13-69eoo, odd, 87, 88 1, 9, 10, 29-89eoo, odd, 105, 106 Chapter-4: Systems of Linear Equations and Inequalities 4.1 Solving Systems of Linear Equations by Graphing 1, 2, 9-12, 17-81odd, 89, Solving Systems of Linear Equations Using Substitution 1, 6, 7, 8, 13-53odd, 61-65odd, 67, Solving Systems of Linear Equations Using Elimination 1, 6, 11-71odd, 77, 79, 81-84all 4.4 Solving Direct Translation, Geometry, and Uniform Motion Problems Using Systems of Linear Equations 3, 4, 7, 9-41odd, Solving Mixture Problems Using Systems of Linear Equations 1, 4, 5, 9-47odd, 48 Chapter-5: Exponents and Polynomials 5.1 Adding and Subtracting Polynomials 1, 2, 7, 11, 12, 17, 29-55odd, eoo, odd, 138, Multiplying Polynomials: The Product and Power Rules 1, 2, 3, 9, 14, 21-97odd, Multiplying Polynomials 7, 19, 20, 21, eoo, odd, all 5.4 Dividing Monomials: The Quotient Rule and Integer Exponents 1, 2, 6, 10, 11, 12, 13, odd, all 5.5 Dividing Polynomials 1, 5, 6, 13-89eoo, 93, 95, Applying Exponent Rules: Scientific Notation 1, 2, 3, 10, 11, eoo, all

11 Chapter-6: Factoring Polynomials 6.1 Greatest Common Factor and Factoring by Grouping 1, 2, 11, 12, 19, odd, all 6.2 Factoring Trinomials of the Form 2 x bx c 1, 2, 6, 9, 17, odd, all 6.3 Factoring Trinomials of the Form 2 ax bx c a ; 1 1, 2, 8, 17, 18, odd, 107, Factoring Special Products 1, 2, 11, 12, 16, 19, 22, 23, 24, odd, all 6.5 Summary of Factoring Techniques 1, 10, odd, 113, Solving Polynomial Equations by Factoring 1, 2, 5, 6, 7, 14, eoo, 111, all 6.7 Modeling and Solving Problems with Quadratic Equations 7-43odd, 44 Chapter-7: Rational Expressions and Equations 7.1 Simplifying Rational Expressions 1, 6, 10, 11, 17, 21-93odd, Multiplying and Dividing Rational Expressions 1, 2, 15-87odd, 89-92all 7.3 Adding and Subtracting Rational Expressions with Common Denominator 1, 2, 12, 17 95odd, all 7.4 Finding the Least Common Denominator and Forming Equivalent Rational Expressions 1, 2, 5, 9, 13-69odd, 71, Adding and Subtracting Rational Expressions with Unlike Denominators 1, 4, 5, 16, 23-97odd, all 7.6 Complex Rational Expressions 1, 2, 5, 11-63odd, 67-70all 7.7 Rational Equations 1, 7, 9, 15-91odd, 93-98all 7.8 Models Involving Rational Equations 1, 10, 15-87odd, 89-92all

12 Math 070 Homework Assignments Fall 2017 SECTIONS OF SULLIVAN AND STRUVE TEXT EXERCISES Chapter-8: Graphs, Relations, and Functions 8.1 Graphs of Equations 1, 2, 5, 13, 14, 21-65odd, 73-76all 8.2 Relations 1, 4, 8, 9, 15-57odd, 59-62all 8.3 An Introduction to Functions 1, 2, 10, 17, 20, 25-5lodd, eoo, odd 8.4 Functions and Their Graph 1, 2, 6, 7, 15-59odd, 61-64all 8.5 Linear Functions and Models 1,2,3,4,19-55odd,57,63,65,67,69,73, Compound Inequalities 1,2,3,4,29-93eoo,95-109odd,111,113, Absolute Value Equations and Inequalities 3, 9, 13, 18, 25, 30, odd, all Chapter-9: Radicals and Rational Exponents 9.1 Square Roots 1, 2, 3, 13, 18, 23-79odd 9.2 nth Roots and Rational Exponents 1, 14, 23, odd, all 9.3 Simplifying Expressions Using the Laws of Exponents 9.4 Simplifying Radical Expressions. Using Properties of Radicals 9.5 Adding, Subtracting, and Multiplying Radical Expressions 1, 2, l 7-91odd, 94 1, 6, 7, eoo, 135, 139, 144, 145 1,13,14,15, eoo,107, 109,111, Rationalizing Radical Expressions 1, 2, 9, 13-89eoo, 89, 91, 92, Functions Involving Radicals 3, 9, 13, 17, 21-61odd, 63, Radical Equations and Their Applications 11, 2, 3, odd, 107-ll0all 9.9 The Complex Number System 1, 2, 3, 4, 18, eoo, 129, 131, 134, all

13 Chapter-10: Quadratic Equations and Functions 10.1 Solving Quadratic Equations by Completing the Square 10.2 Solving Quadratic Equations by the Quadratic Formula 1, 15, 16, 19-99eoo, 103, 107 1, 4, 9-13all, 23-87eoo, 89-lOlodd, all 10.3 Solving Equations Quadratic in Form 1,2,3,4,13-77eoo,79,81,83,85,86, Graphing Quadratic Functions Using Transformation 10.5 Graphing Quadratic Functions Using Properties 1, 2, 5, 10, 13, 17-77eoo, 79-87odd, 89-92all 1-5all, 9, 15-21odd, 23, 25, 27, 29, 37, 39, 43, 55, 63-75odd,81-9lodd,97,99,100, Quadratic Inequalities 17-47eoo, 49-59odd, 61, 65-70all 10.7 Rational Inequalities 1,5-33eoo,35,37,39,40 Chapter-11: Exponential and Logarithmic Functions 11.1 Composite Functions and Inverse Functions 1, 3, 6, 13, 14, 17-35odd, 39-63eoo, odd, all 11.2 Exponential Functions 11, 4, 5, 6, 10, 19-79odd, 81, 85, 87, 91, 95, all 11.3 Logarithmic Functions 1,23-75odd,77,83,87,89-115odd, 119, 125, 127, Properties of Logarithms 9, odd, all 11.5 Exponential and Logarithmic Equations 1, 11-73odd, 77, 78, 79 Appendix-C: More on Systems of Linear Equations C-2: Systems of Linear Equations in Three Variables 1,2,3,4,11,19,21,23,25,29,33,39,43,45,51,58,59 Chapter-12: Conics 12.1 Distance and Midpoint Formulas 1, 2, 6, 9-33eoo, 35-45odd, 48, 49, Circles 1, 2, 11-35eoo, 37-53odd, 55-58all 12.3 Parabolas 1, 2, 3, 13-19odd, 39-49odd (Graphing Only; No Focus, No Directrix)

14 12.4 Ellipses 12.5 Hyperbolas 1,2, 3, 4, 11-23odd, 33-41odd (Graphing Only; No Foci, No Vertices), 49, 51, 55, 56 1, 2, 3, 6, 8, 11, 13, 15-21, 29, 31, 33 (Graphing Only: No Foci, No Vertices), 39, 41, 45, 46 Chapter 13: Sequences and Series 13.1 Sequences 1, 2, 3, 8, 13-51odd, 53, 57, 63, 65-68all

Math 098 Intermediate Algebra Spring 2018

Math 098 Intermediate Algebra Spring 2018 Dept. of Mathematics Instructor's Name: Office Location: Office Hours: Office Phone: E-mail: MyMathLab Course ID: Course Description This course expands on the