Math 060/070 PAL: Elementary and Intermediate Algebra Spring 2016

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1 Math 060/070 PAL: Elementary and Intermediate Algebra Spring 016 Instructor Dr. Ruzanna Baytaryan Office HSLH 341 Phone Office Hours MW :30PM-4:30PM or by appointment Website Text Elementary and Intermediate Algebra, The Language and Symbolism of Mathematics Hall, W. J. & Mercer, A. B. (3 rd ed.) Harmony is present when a multitude of phenomena is regulated by unity of a mathematical law which expresses a cosmic idea. Kepler 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 equations in one unknown, identifying and evaluating functions, factoring of and multiplication of polynomials, and working with algebraic fractions, linear equations and graphs, systems of linear equalities, exponents and radicals, quadratic equations, and applications. Math 060 Student Learning Outcomes: Recognize and interpret equations of lines. Solve systems of linear equations. Factor polynomials Math 070 Course Description Examines higher degree and rational equations and inequalities, functions and graphs, systems of equations, exponential and logarithmic functions, introduction to sequences, and applications. 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. You may use your homework notes during these quizzes. 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 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, 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 5% (0.5) = Overall grade percentage in class Grading Scale: A = % C = 70 79% F = Below 60% B = 80 89% D = 60 69% A grade C or higher is required in order to continue with Math 10, 103, 111, 130, 140. 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 ( or more) 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.

3 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. Spring 016 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 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. Associate Degrees/Transfer Information Recent California Legislation guarantees admission to a California State University (CSU) campus for any community college student who completes an associate degree for transfer. The Associate in Science for Transfer (AS-T) in Administration of Justice, Computer Science, Geology, Mathematics, and Physics or the Associate in Arts for Transfer (AA-T) in Geography, is intended for College of the Canyons students who plan to complete a bachelor's degree in a similar major at a CSU campus. Students must earn a C or better in all courses required for the major or area of emphasis. The College also offers associate degrees in Administration of Justice, Biology, Computer Science, Engineering, Fire Technology, Math, Medical Laboratory Technician, Nursing (LVN to RN), and Registered Nursing. For more information on the suggested sequence of classes to be taken in order to obtain these degrees in two years, as well as information on when these courses are guaranteed to be offered, please visit:

4 Math 060 PAL LECTURE OUTLINE Spring 016 This schedule is tentative. It is subject to change. MONDAY TUESDAY WEDNESDAY THURSDAY 1 0/08/16 Introduction Pretest. Function Notation: Linear 0/09/16.5 Solving Linear Equations/Multiplication Property.6 Intercepts of a Line/Rearranging Formulas 0/10/16.7 Proportions and Direct Variation.8 More Applications of linear equations (Mixture, uniform Motion, Investment) 0/11/16.8 More Applications of linear equations (Mixture, uniform Motion, Investment) 4.1 Solving Linear Inequalities using Addition Property 0/15/16 H O L I D A Y PRESIDENTS DAY 0/16/16 4. Solving Linear Inequalities using Multiplication Property 0/17/ Slope of a Line 3. Special Forms of Linear Equations 0/18/16 Test 1(.,.5-.8, 4.1, 4.) 3 0// Solving Systems Graphically 3.4 Solving Systems by Substitution 0/3/ Solving Systems by Addition 3.6 Applications of Linear Systems 0/4/ Applications of Linear Systems 0/5/16 Test ( ) 4 0/9/ Product and Power Rules of Exponents 5. Quotient Rule and Zero Exponent 03/01/16 5. Quotient Rule and Zero Exponents 5.3 Negative Exponents and Scientific Notation 03/0/ Adding and Subtracting Polynomials 5.5 Multiplying Polynomials 03/03/ Special Products of Binomials 5.7 Dividing Polynomials

5 5 03/07/ Dividing Polynomials 6.1 Intro to Factoring 03/08/16 Test 3 ( ) 03/09/16 6. Factoring Trinomials of the Form x bx c 6.3 Factoring Trinomials of the Form ax bx c; a 1 03/10/ Factoring Special Forms 6.5 General Strategy for Factoring Polynomials 6 03/14/ Solving Equations by Factoring 7.1 Extraction of Roots/Property of Square Root 03/15/16 7. Solving Quadratics by Completing the Square 7.3 Quadratic Formula 03/16/ Applications of Quadratic Equations 9.1 Reducing Rational 03/17/16 Catch Up 7 03/1/16 Test 4 ( , 7,1-7.4) 03//16 9. Multiplying Rational 9.3 Adding and Subtracting Rational 03/3/ Combining Operations and Simplifying Rational 9.5 Solving Equations Containing Rational 03/4/ Solving Equations Containing Rational 9.6 Applications Yielding Equations with Fractions 8 03/8/ Applications Yielding Equations with Fractions 03/9/16 Test 5 ( ) 03/80/16 Review for Final 03/31/16 Final Exam

6 Math 060 Homework Assignments Spring 016 SECTIONS OF HALL and MERCER TEXT HOMEWORK EXERCISES Chapter-: Linear Equations and Patterns. Function Notation and Linear 1-37 odds, odds.5 Solving Linear Equations in One Variable Using the Multiplication/Division Property 1-49 odds, odds.6 Calculating Intercepts and Rearranging Formulas 1-13 odds, odds.7 Proportions and Direct Variation 1-61 odds, 73, 75.8 More Applications of Linear Equations 1-39 odds Chapter-3: Lines and Systems of Linear Equations in Two Variables 3.1 Slope of a Line and Applications of Slope 1-55 odds, odds 3. Special Forms of Linear Equation in Two Variables 1-79 odds 3.3 Solving Systems of Linear Equation in Two Variables Graphically and Numerically 3.4 Solving Systems of Linear Equation in Two Variables by the Substitution Method 3.5 Solving Systems of Linear Equation in Two Variables by the Addition Method 1-45 odds, odds 1-61 odds 1-55 odds 3.6 More Applications of Linear Systems 1-53 odds Chapter-4: Linear Inequalities 4.1 Solving Linear Inequalities Using Addition-Subtraction Principle 1-43 odds, odds 4. Solving Linear Inequalities Using Multiplication-Division Principle 1-55odds, odds Chapter-5: Exponents and Operation with Polynomials 5.1 Product and Power Rule of Exponents 1-81 odds 5. Quotient Rule and Zero Exponents 1-79 odds 5.3 Negative Exponents and Scientific Notation 1-73 odds

7 5.4 Adding and Subtracting Polynomials 1-73 odds 5.5 Multiplying Polynomials 1-61 odds, odds 5.6 Special Products of Binomials 1-49 odds 5.7 Dividing Polynomials 1-49 odds, odds Chapter 6: Factoring Polynomials 6.1 An Introduction to Factoring Polynomials 1-51 odds, odds 6. Factoring Trinomials of the Form 6.3 Factoring Trinomials of the Form x bx c 1-75 odds ax bx c 1-79 odds 6.4 Factoring Special Forms 1-79 odds 6.5 Factoring by Grouping and a General Strategy for Factoring Trinomials 1-71 odds, 75, Solving Equations by Factoring 1-69 odds, 75, 77 Chapter-7: Solving Quadratic Equations 7.1 Extraction of Roots and Properties of Square Roots 1-69 odds 7. Solving Quadratic Equations by Completing the Square 1-45 odds 7.3 Using the Quadratic Formula to Find Real Solutions 1-49 odds 7.4 Applications of Quadratic Equations 1-51 odds Chapter-9: Rational 9.1 Graphs of Rational and Reducing Rational 1-5odd, 7-67eoo, 71, 73, odd 9. Multiplying and Dividing Rational Expression 1-45eoo, 55-67odd 9.3 Adding and Subtracting Rational 9.4 Combining Operations and simplifying Complex Rational 1-45odd, 31-67odd, 71, 7a,c 1-39odd, 45-59odd, 67, 69, 71, Solving Equations Containing Rational 3-51eoo, 57-77odd 9.6 Inverse and Joint Variations and Other Applications Yielding Equations with Fractions 1-83odd, all

8 Math 070 PAL LECTURE OUTLINE Spring 016 This schedule is tentative. It is subject to change. MONDAY TUESDAY WEDNESDAY THURSDAY 1 04/11/ Solving Compound Inequalities 04/1/ Solving Absolute Value Equations and Inequalities 04/13/ and Representations of 8. Linear 04/14/16 8. Linear 8.3 Absolute Value 04/18/16 Q & A Test-1 (4.3, 4.4, ) 04/19/ Complex Numbers 8.4 Quadratic 04/0/ Quadratic 8.5 Analyzing 04/1/ Horizontal and Vertical Transformation of (Skip the radical functions.) 3 04/5/ Reflecting, Stretching, and Shrinking the Graphs of (Skip the radical functions.) 04/6/16 Q & A Test- (7.5, 8.4, 8.5, 1.3, 1.4) 04/7/ Evaluation Radical and Graphing Square Root and Cube Root 10. Adding and Subtracting Radical 04/8/ Adding and Subtracting Radical 10.3 Multiplying and Dividing Radical 4 05/0/ Solving Equations Containing Radical 10.5 Rational Exponents and Radicals 05/03/ Rational Exponents and Radicals 05/04/16 Q & A Test 3 ( ) 05/05/ Graphs of Exponential 11. Inverse

9 5 05/09/ Algebra of 05/10/ Logarithmic 11.4 Evaluating Logarithms 05/11/ Properties of Logarithms 05/1/ Solving Exponential and Logarithmic Equations 6 05/16/ Applications of Exponential and Logarithmic Equations 05/17/16 Q & A Test 4 ( , 1.5) 05/18/ Solving Systems of Linear Equations by Using Augmented Matrices 05/19/16 1. Systems of Linear Equations in Three Variables 7 05/3/ Sequences, Series, and Summation Notation 05/4/ Conic Sections 05/5/16 Catch Up 05/6/16 Test 5 (1.1, 1., 1.6, 1.7) 8 05/30/16 Holiday Memorial Day 05/31/16 Review for Final 06/01/16 Review for Final 06/0/16 FINAL EXAM

10 Math 070 Homework Assignments Spring 016 SECTIONS HOMEWORK EXERCISES IN CLASS DISCUSSION EXERCISES Chapter-4,Chapter-8, Chapter-11, and Chapter-1: Compound Inequalities, Absolute Value Equations and Inequalities, Linear, Absolute Value, and Quadratic : Translations of Graphs of, Inverse, Algebra of 4.3 Solving Compound Inequalities 1-69 odd, odd, all 4.4 Solving Absolute Value Equations and Inequalities 8.1 and Representations of 1-69 odd, odd, 86, odd, 63, all 1-1 all 8. Linear 1-75 odd 1-6 all 8.3 Absolute Value 1-63 odd 1-6 all 7.5 Complex Number 1-41eoo, odd 1-1all 8.4 Quadratic 1-73 odd 1-13 all 8.5 Analyzing 1-41odd 1-7 all 1.3 Horizontal and Vertical Transformation of (Exclude the radical functions.) 1.4 Reflecting, Stretching, and Shrinking the Graphs of (Exclude the radical functions.) 1-7odd, 13-59odd 1, 3, 7-3 odd, 9-35 odd, odd, all 1-6 all Chapter-10: Square Root and Cube Root and Rational Exponents 10.1 Evaluation Radical and Graphing Square Root and Cube Root 10. Adding and Subtracting Radical 10.3 Multiplying and Dividing Radical 1-31odd, odd, odd, , 11, 61, , , 43, 45, odd, 81,8 1-81odd, 85-89, all 1-5 all 1-7 all 10.4 Solving Equations Containing Radical 1-9 odd, 35, 37, 41, 47, 49, all

11 odd, 71, odd 10.5 Rational Exponents and Radicals 9-69 odd, 79, 81, 84, 85, all Chapter-11: Exponential and Logarithmic 11.1 Graphs of Exponential odd, 57, 61, 63, all 11. Inverse 1-67 odd, all 1.5 Algebra of (Exclude the radical functions and inverse functions.) 1-39 odd, 40, 41, 4, 51-61odd 1-6 all 11.3 Logarithmic 1-79 odd 1-8 all 11.4 Evaluating Logarithms 1-69 eoo 1-4 all 11.5 Properties of Logarithms 11.6 Solving Exponential and Logarithmic Equations 1-45 odd, odd, odd, all, 89, odd, 33-61odd, 67-7all, all 1-4 all 11.7 Applications of Exponential and Logarithmic Equations 1-39 odd 1-6 all Chapter 1: System of Linear Equations: Sequences and Series: Conic Sections 1.1 Solving Systems of Linear Equations by Using Augmented Matrices eoo, 35-49odd 1-8 all 1. Systems of Linear Equations in Three Variables 1-13 odd, 49-65odd, all 1.6 Sequences, Series, and Summation Notation 1-77odd 1-14all 1.7 Conic Sections 1-7odd, 8, 37-41odd, 47, all