Math 060 and 070: Elementary and

intermediate Algebra spring 2018

Instructor Dr. Ruzanna Baytaryan

Office HSLH 341

Phone 661-362-5916

Office Hours TWTH 1:30pM-2:30pM

or by appointment

Email Ruzanna.baytaryan@canyons.edu

Website http://www.canyons.edu/users/baytaryanr

Text

Elementary and Intermediate Algebra, Sullivan, M. III,

Struve, K. R, & Mazzarella, J. (3rd.ed)

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 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.

Nothing is

troublesome that

we do willingly.

Thomas Jefferson

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 Student Learning Outcomes:

SOLVE RADICAL, QUADRATIC, EXPONENTIAL AND LOGARITHMIC equations

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, group-

works, 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.

Grade Percentage Weight Total

Homework (Quizzes) and

Group-work Average

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 = 90 – 100% C = 70 – 79% F = Below 60%

B = 80 – 89% D = 60 – 69%

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.

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

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 http://www.canyons.edu/offices/Health/Pages/default.aspx . The phone number

is 661-362-3259.

Also, the National Suicide Hotline number is 1-800-273-8255. 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.

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 www.canyons.edu/skills4success for the workshop schedule.

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 2018 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

Math 060 L e c t u r e O U T L I N E M-TH Spring 2018

This schedule is tentative. It is subject to change.

Wee

k 1

02/05/18

Introduction, Pretest

2.2 Linear Equations:

Using the Addition and

Multiplication

Properties Together

02/06/18

2.3 Solving Linear

Equations Involving

Fractions and

Decimals; Classifying

Equations

2.4 Evaluating

Formulas and Solving

Formulas for a Variable

02/07/18

2.5 Problem Solving:

Direct Translation

2.6 Problem Solving:

Problems Involving

Percent

02/08/18

2.6 Problem Solving:

Problems Involving

Percent

2.7 Problem Solving:

Geometry and Uniform

Motion

Wee

k 2

02/012/18

2.8 Solving Linear

Inequalities in One

Variable

3.1 The Rectangular

Coordinate System and

Equations in Two

Variables

02/13/18

3.2 Graphing Equations

in Two Variables

3.3 Slope

02/14/18

Q&A

Test-1 (2.2-2.8)

02/15/18

3.4 Slope-Intercept

Form of a Line

3.5 Point-Slope Form

of a Line

Wee

k 3

02/19/18

HOLIDAY

02/20/18

3.6 Parallel and

Perpendicular Lines

4.1 Solving Systems of

Linear Equations by

Graphing

02/21/18

4.2 Solving Systems of

Linear Equations Using

Substitution

4.3 Solving Systems of

Linear Equations Using

Elimination

02/22/18

4.4 Solving Direct

Translation, Geometry,

and Uniform Motion

Problems Using

Systems of Linear

Equations

Wee

k 4

02/26/18

4.5 Solving Mixture

Problems Using

Systems of Linear

Equations

02/27/18

5.1 Adding and

Subtracting

Polynomials

5.2 Multiplying

Polynomials: The

Product and Power

Rules

02/28/18

Q&A

Test-2 (3.1-3.6, 4.1-

4.5)

03/01/18

5.3 Multiplying

Polynomials

5.4 Dividing

Monomials: The

Quotient Rule and

Integer Exponents

Wee

k 5

03/05/18

5.5 Dividing

Polynomials

5.6 Applying

Exponent Rules:

Scientific Notation

03/06/18

6.1 Greatest Common

Factor and Factoring by

Grouping

6.2 Factoring

Trinomials of the Form 2x bx c

03/07/18

Q&A

Test-3 (5.1-5.6)

03/08/18

6.3 Factoring

Trinomials of the Form 2 ; 1ax bx c a

6.4 Factoring Special

Products

Wee

k 6

03/12/18

6.5 Summary of

Factoring Techniques

6.6 Solving

Polynomial Equations

by Factoring

03/13/18

6.7 Modeling and

Solving Problems with

Quadratic Equations

03/14/18

7.1 Simplifying

Rational Expressions

7.2 Multiplying and

Dividing Rational

Expressions

03/15/18

Q&A

Test-4(6.1-6.7)

Wee

k 7

03/19/18

7.3 Adding and

Subtracting Rational

Expressions with

Common Denominator

7.4 Finding the Least

Common Denominator

and Forming

Equivalent Rational

Expressions

03/20/18

7.5 Adding and

Subtracting Rational

Expressions with

Unlike Denominators

7.6 Complex Rational

Expressions

03/21/18

7.6 Complex Rational

Expressions

7.7 Rational Equations

03/22/18

7.8 Models Involving

Rational Equations

Wee

k 8

03/26/18

Q&A

Test-5 (7.1-7.8)

03/27/18

03/28/18

Final Exam Review

03/29/18

FINAL EXAM

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.

Wee

k 1

0

04/09/18

8.1 Graphs of

Equations

8.2 Relations

04/10/18

8.3 An Introduction to

Functions

8.4 Functions and their

Graphs

04/11/18

8.5 Linear Functions

and Models

04/12/18

8.6 Compound

Inequalities

Wee

k 1

1

04/16/18

8.7 Absolute Value

Equations and

Inequalities

04/17/18

9.1 Square Roots

9.2 nth Roots and

Rational Exponents

04/18/18

Q&A

Test-1(8.1-8.7)

04/19/18

9.2 nth Roots and

Rational Exponents

9.3 Simplifying

Expressions Using the

Laws of Exponents

Wee

k 1

2

04/23/18

9.3 Simplifying

Expressions Using the

Laws of Exponents

9.4 Simplifying Radical

Expressions Using

Properties of Radicals

04/24/18

9.5 Adding,

Subtracting, and

Multiplying Radical

Expressions

9.6 Rationalizing

Radical Expressions

04/25/18

9.6 Rationalizing

Radical Expressions

9.7 Function Involving

Radicals

04/26/18

9.8 Radical Equations

and Their Applications

Wee

k 1

3

04/30/18

9.9 The Complex

Number System

05/01/18

10.1 Solving Quadratic

Equations by

Competing the Square

10.2 Solving Quadratic

Equations by Quadratic

Formula

05/02/18

Q&A

Test-2 (9.1-9.9)

05/03/18

10.3 Solving Equations

Quadratic in Form

10.4 Graphing

Quadratic Functions

Using Transformations

Wee

k 1

4

05/07/18

10.5 Graphing

Quadratic Functions

Using Properties

05/08/18

10.6 Quadratic

Inequalities

10.7 Rational

Inequalities

05/09/18

11.1 Composite and

Inverse Functions

05/10/18

Q&A

Test-3 (10.1-10.7)

Wee

k 1

5

05/14/18

11.2 Exponential

Functions

11.3 Logarithmic

Functions

05/15/18

11.3 Logarithmic

Functions

11.4 Properties of

Logarithms

05/16/18

11.4 Properties of

Logarithms

11.5 Exponential and

Logarithmic Equations

05/17/18

11.5 Exponential and

Logarithmic Equations

Wee

k 1

6

05/21/18

Q&A

Test-4 (11.1-11.5)

05/22/18

Appendix-C2: Systems

of Linear Equations in

3 Variables

12.1 Distance and

Midpoint

05/23/18

12.2 Circles

12.4 Ellipses

12.5 Hyperbolas

05/24/18

13.1 Sequences and

Series

Wee

k 1

7

05/28/18

HOLIDAY

05/29/18

Q&A

Test-5 (C2, 12.1-

12.5. 13.1)

05/30/18

Final Exam Review

05/31/18

FINAL EXAM

(Part-2)

Math 060 Homework: spring 2018

Chapter-1: Operations on Real Numbers and Algebraic Expression

Review Problems (Optional)

Read 1.1 Success in Mathematics

Pg. 76 1-209 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 , 109-121

2.2 Linear Equations: Using the Properties Together 1, 17, 21-81eoo, 83, 85, 91, 93,

95-98 all

2.3 Solving Linear Equations Involving Fractions and Decimals;

Classifying Equations

1, 4, 7, 10, 15, 20, 21, 27-99eoo,

105-117 odd, 119-122 all

2.4 Evaluating Formulas and Solving for a Variable 1, 6, 8-13, 23-95eoo, 97-102all

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, 19-65 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, 37-113eoo,

117-133odd, 135-138all

Chapter-3: Introduction to Graphing and Equations of Lines

3.1 The Rectangular Coordinate System and Equations in Two Variables 1- 4, 8, 21, 27, 29, 33, 35, 37, 43,

55, 57, 59, 65, 73, 75, 77, 85

3.2 Graphing Equations in Two Variables 1, 4, 8, 12,15, 21, 22, 25-121eoo,

125-131 odd, 133-136all

3.3 Slope 1- 4, 7, 13-73eoo, 75-83 odd, 87,

88

3.4 Slope-Intercept Form of a Line 1, 21-89eoo, 91- 101odd, 103,

104, 105

3.5 Point-Slope Form of a Line 1, 2, 11, 13-69eoo , 71-85 odd,

87, 88

3.6 Parallel and Perpendicular Lines 1, 9, 10, 29-89eoo, 91-103odd,

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, 90

4.2 Solving Systems of Linear Equations Using Substitution

1, 6, 7, 8, 13-53odd, 61-65odd, 67,

68

4.3 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, 41

4.5 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, 57-

129 eoo, 131-137odd, 138, 139

5.2 Multiplying Polynomials: The Product and Power Rules 1, 2, 3, 9, 14, 21-97odd, 99-104

5.3 Multiplying Polynomials

7, 19, 20, 21, 35-135eoo,137-

151odd, 153-156all

5.4 Dividing Monomials: The Quotient Rule and Integer Exponents

1, 2, 6, 10, 11, 12, 13, 33-143odd,

145-151all

5.5 Dividing Polynomials 1, 5, 6, 13-89eoo, 93, 95, 96

5.6 Applying Exponent Rules: Scientific Notation

1, 2, 3, 10, 11, 27-103eoo, 105-

108all

Chapter-6: Factoring Polynomials

6.1 Greatest Common Factor and Factoring by Grouping

1, 2, 11, 12, 19, 27-119odd, 121-

124all

6.2 Factoring Trinomials of the Form 2x bx c

1, 2, 6, 9, 17, 23-105odd, 107-

109all

6.3 Factoring Trinomials of the Form 2 ; 1ax bx c a

1, 2, 8, 17, 18, 23-105odd, 107,

108

6.4 Factoring Special Products

1, 2, 11, 12, 16, 19, 22, 23, 24, 29-

105odd, 107-110all

6.5 Summary of Factoring Techniques 1, 10, 17-111odd, 113, 114

6.6 Solving Polynomial Equations by Factoring

1, 2, 5, 6, 7, 14, 25-109eoo, 111,

113-116all

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, 94

7.2 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, 97-100all

7.4 Finding the Least Common Denominator and Forming Equivalent

Rational Expressions

1, 2, 5, 9, 13-69odd, 71, 72

7.5 Adding and Subtracting Rational Expressions with Unlike

Denominators

1, 4, 5, 16, 23-97odd, 99-102all

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

Math 070 Homework : spring 2018

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, 55-71 eoo, 73-101 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,57,63,65,67,69,73,75

8.6 Compound Inequalities 1,2,3,4,29-93eoo,95-109odd,111,113,115

8.7 Absolute Value Equations and Inequalities 3, 9, 13, 18, 25, 30, 43-129odd, 131-134 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, 37-139odd, 141-143all

9.3 Simplifying Expressions Using the Laws of Exponents 1, 2, l 7-91odd, 94

9.4 Simplifying Radical Expressions. Using Properties of

Radicals 1, 6, 7, 29-133eoo, 135, 139, 144, 145

9.5 Adding, Subtracting, and Multiplying Radical

Expressions 1,13,14,15, 19-105eoo,107, 109,111,113

9.6 Rationalizing Radical Expressions 1, 2, 9, 13-89eoo, 89, 91, 92, 93

9.7 Functions Involving Radicals 3, 9, 13, 17, 21-61odd, 63, 64

9.8 Radical Equations and Their Applications 11, 2, 3, 13-105odd, 107-ll0all

9.9 The Complex Number System 1, 2, 3, 4, 18, 25-125eoo, 129, 131, 134, 135-138all

Chapter-10: Quadratic Equations and Functions

10.1 Solving Quadratic Equations by Completing the Square 1, 15, 16, 19-99eoo, 103, 107

10.2 Solving Quadratic Equations by the Quadratic Formula 1, 4, 9-13all, 23-87eoo, 89-lOlodd, 103- 106all

10.3 Solving Equations Quadratic in Form 1,2,3,4,13-77eoo,79,81,83,85,86,87

10.4 Graphing Quadratic Functions Using Transformation 1, 2, 5, 10, 13, 17-77eoo, 79-87odd, 89-92all

10.5 Graphing Quadratic Functions Using Properties

1-5all, 9, 15-21odd, 23, 25, 27, 29, 37, 39, 43, 55, 63-

75odd,81-9lodd,97,99,100,101

10.6 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, 65-105odd, 107-

110all

11.2 Exponential Functions 11, 4, 5, 6, 10, 19-79odd, 81, 85, 87, 91, 95, 105-

108all

11.3 Logarithmic Functions 1,23-75odd,77,83,87,89-115odd, 119, 125, 127, 131-

134

11.4 Properties of Logarithms 9, 27-107odd, 109-112all

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, 50

12.2 Circles 1, 2, 11-35eoo, 37-53odd, 55-58all

12.4 Ellipses 1 ,2, 3, 4, 11-23odd, 33-41odd 49, 51, 55, 56

12.5 Hyperbolas 1, 2, 3, 6, 8, 11, 13, 15-21, 29, 31, 33 39, 41, 45, 46

Chapter 13: Sequences and Series

13.1 Sequences 1, 2, 3, 8, 13-51odd, 53, 57, 63, 65-68all