COURSE DESCRIPTION
Students will perform basic
operations with signed numbers, polynomials and exponential expressions; factor
polynomials; solve linear and quadratic equations; graph linear equations and
inequalities; and solve applied problems.
COURSE COMPETENCIES
After completing this course
students will be able to add, subtract, multiply and divide real numbers,
polynomials and exponential expressions; factor polynomials; solve linear
equations and inequalities and quadratic equations; graph and analyze linear
equations in two-variables; and solve application problems using the
mathematical techniques mastered.
DECLARATION OF A MAJOR
Students enrolled in this course that plan to complete a
certificate or a degree should officially declare a major and request a faculty
advisor in the area of their major.
The procedure for declaring
a major is as follows:
1. Request
a Declaration of Major form from the Office of Admissions and Records.
2. Meet
with a counselor in Counseling and Assessment or a faculty member in your major
to clarify certificate or degree selection.
Return completed form to Counseling and Assessment or to the faculty
member who gave you the form.
3. Receive notification of an advisor
assignment by mail after processing is completed. Some degree programs have a special
application procedure and require that a student be assigned to a counselor
before being admitted to the program.
For Diversified Studies majors, degree plans must be submitted for
approval to the Office of Academic Division Support Services. Contact a counselor for additional
information.
PREREQUISITE
MATH 0033, Basic Mathematics,
within the last year or adequate Math Placement Test Score.
ACCOMMODATIONS FOR STUDENTS WITH SPECIAL NEEDS
GRADING POLICY AND PROCEDURE
Elementary Algebra students
will have tests covering the objectives described in the syllabus for the
course. At the end of the semester, test
scores will be averaged to determine the classroom test grade.
Individual instructors may
choose to use homework, quizzes, attendance, projects, etc. to determine the
overall average for the course. Non-test
items shall contribute no more than 15% of the overall average. The instructor will inform students in
writing if non-test items will be a part of the grading.
The grade for the semester
will be determined according to the following scale:
Overall Average Course Grade
90 –
100% A
80
- 89% B
70
- 79% C
Below
70% F
W – (Official Withdrawal) Students may officially withdraw from a course until the end of the twelfth week of a sixteen-week semester (or 3/4 of the duration of a shorter course).
I – (Incomplete) Students receive an ‘I’ ONLY at the professor's discretion and in situations of extreme or extenuating circumstances. When these circumstances arise, it is the student's responsibility to notify the professor immediately. If an ‘I’ grade is used, the professor establishes a contract with the student to specify the work that must be completed and the date for completion. At the end of the contracted period the professor will replace the ‘I’ with the appropriate grade: A, B, C, or F.
ATTENDANCE POLICY:
Classroom attendance
in the traditional sense does not apply in an online class. However, you should expect to be online a
minimum of three to four times a week for three to four hours each time in
order to successfully complete this course.
TEXT: INTRODUCTORY & INTERMEDIATE ALGEBRA, THIRD EDITION, by Lail, Hornsby, McGinnis, Addison Wesley, 2006. (Optional)
SUPPLEMENT: MASTERING MATHEMATICS: How to Be a GREAT Math Student, 3rd ed., by
Richard Manning Smith, Brooks/Cole 1998 – Upon completion of a Study Skill Survey,
this text will either be suggested or recommended for purchase.
(Optional)
The Math Lab is strongly recommended for students seeking assistance outside the classroom. The Math Lab is located in the
·
Studying,
·
Asking questions of tutors or lab assistants,
·
Viewing videotapes and DVDs
·
Listening to audio-tapes,
·
Accessing tutorial and mathematics software,
·
Accessing the Internet,
·
Checking work with solutions manuals,
·
Studying printed materials available for many mathematics courses,
·
Working on assignments that require calculators or computers.
The hours listed below are
tentative and likely to change around holidays and between semesters. Check with your instructor or call the Math
Lab to confirm hours.
Fall & Spring Semesters
Summer Semester
Math Lab materials are to be used in the Math Lab only and may be obtained for use in the Math Lab from the staff with a student ID card.
NO Materials are
to be taken out of the Math Lab. Any violations of this policy will result in
a written warning for the first offense.
A 2nd violation will be the basis for an official complaint to the Vice
President for Student Services as a violation of the Student Conduct Code. Consult your Student Handbook for Student
Disciplinary Procedures.
MATH 0113 – Elementary Algebra
LEARNING OBJECTIVES AND
ACTIVITIES
MODULE
R: THE REAL NUMBER SYSTEM
·
Review the order
of operations.
·
Review operations
with signed numbers.
·
Evaluate
expressions involving variables.
·
Write a numerical
expression for a phrase and simplify.
·
Evaluate
numerical expressions involving absolute value.
·
Simplify
expressions by identifying and combining like terms.
·
Learn study skill
techniques and self assess your learning style.
·
Determine if you
have the skills needed to succeed in the course.
.
REVIEW MATERIAL
Section 1.1: Exponents, Order of Operations, and Inequality
Computer Review Problems: Work the Section 1.1 Review Problems
Section 1.2: Variables, Expressions, and Equations
Computer Review Problems: Work the Section 1.2 Review Problems
Section 1.6: Multiplying and Dividing Real Numbers
Computer Review Problems: Work the Section 1.6 Review Problems.
Section 1.8: Simplifying Expressions
Computer Review Problems: Work the Section
1.8 Review Problems
MODULE
1: EQUATIONS, INEQUALITES, and
APPLICATIONS
·
Identify linear
equations. (2.1)
·
Use the addition
property of equality to solve linear equations.
(2.1)
·
Use the
multiplicative property of equality to solve linear equations. (2.2)
·
Learn the four
steps for solving a linear equation, and apply them. (2.3)
·
Solve equations
with fractions or decimals as coefficients.
(2.3)
·
Solve equations
that have no solution or infinitely many solutions. (2.3)
·
Learn the six
steps for solving applied problems.
(2.4)
·
Solve problems by
setting up and solving a linear equation.
(2.4)
·
Solve a formula
for a specified variable. (2.5)
·
Use a formula to
solve an applied problem. (2.5)
·
Solve applied
problems using ratios and proportions.
(2.6)
·
Find percentages
and percents. (2.6)
·
Graph intervals
on a number line. (2.7)
·
Solve linear
inequalities using the addition and multiplication property. (2.7)
·
Solve linear
inequalities with three parts. (2.7)
·
Solve applied
problems using linear inequalities.
(2.7)
MODULE ACTIVITIES:
For each section:
Computer: Open
the multimedia textbook section to access video clips, animations, and practice exercises.
View the video lesson for the section or scan through the multimedia
text and view the video
examples. Try each of the You Try It
tutorial examples.
Section 2.1: The Addition Property of Equality
Computer Chapter Homework: Work the Section 2.1 Homework Problems
Additional
Textbook Practice: on pages 113 – 114: exercises 5, 7, 9, 15, 19 – 29 odd,
33, 35, 43, 45, 49
Section 2.2: The Multiplication Property of Equality
Computer Chapter Homework: Work the Section 2.2 Homework Problems
Additional
Textbook Practice: on pages 119 – 120: # 1, 3, 9, 11, 19, 23 – 33 odd, 37,
41, 45, 49,
53, 55
Section 2.3: More on Solving Linear Equations
Computer Chapter Homework: Work the Section 2.3 Homework Problems
Additional
Textbook Practice: on pages 127 – 130: ex. # 1, 3, 7, 9, 11, 13, 19, 21,
25, 27, 41
– 47 odd
Section 2.4: An Introduction to Applications of Linear
Equations
Computer Chapter Homework: Work the Section 2.4 Homework Problems
Additional
Textbook Practice: on pages 141 – 146: ex. # 1, 7, 9, 11, 15, 19, 21, 27,
31, 35, 47,
49, 51
Section 2.5:
Formulas and Applications from Geometry
Computer Chapter Homework: Work the Section 2.5 Homework Problems
Additional
Textbook Practice: on pp. 153 – 156, ex # 1, 3, 7, 9, 13 – 21 odd, 27, 29,
35, 43, 45, 49 –
59 odds
Section 2.6:
Ratio, Proportion, and Percent
Computer Chapter Homework: Work the Section 2.6 Homework Problems
Additional
Textbook Practice: on pages 163 – 166, ex.# 3, 7, 9, 11c, 13c,
21, 23, 25, 29, 31, 33c,
35, 43c – 49codds,53c, 55c, 57c (Problems requiring calculator are denoted
with the superscript
c)
Section 2.7:
Solving Linear Inequalities
Computer Chapter Homework: Work the Section 2.7 Homework Problems
Additional
Textbook Practice: on pages 181 – 186, ex. # 1, 3, 5, 9, 11, 13, 15, 21,
25, 37, 39,
41, 51, 59, 63
To prepare
for the Module 1 Exam,
·
Read and Study: the Quick Review on pages 188 – 190
·
Work: the
Review Exercises on pages 191 – 193:
exercises 1 – 12, 16 – 18, 23 – 25,
27, 28, 31, 32, 35, 36, 39 – 52
·
Work:
Chapter 2 Test on pages 195 – 196: exercises 1 – 10, 12 – 25
·
Interpret
graphs. (3.1)
·
Decide whether a
given ordered pair is a solution to a given equation. (3.1)
·
Complete ordered
pairs for a given equation. (3.1)
·
Graph linear
equations by plotting ordered pairs.
(3.2)
·
Find
intercepts. (3.2)
·
Graph an equation
of the form Ax + By = 0. (3.2)
·
Graph linear
equations of the form y = k or x = k.
(3.2)
·
Find the slope of
a line given two points. (3.3)
·
Find the slope
from the equation of a line. (3.3)
·
Use slope to determine
whether two lines are parallel, perpendicular, or neither. (3.3)
·
Write an equation
of a line given its slope and y-intercept.
(3.4)
·
Graph a line
given its slope and a point on the line.
(3.4)
·
Write an equation
of a line given its slope and any point on the line. (3.4)
·
Write an equation
of a line given two points on the line.
(3.4)
·
Graph linear
inequalities in two variables. (3.5)
MODULE ACTIVITIES
For each section:
Computer: Open
the multimedia textbook section to access video clips, animations, and practice exercises.
View the video lesson for the section or scan through the multimedia
text and view the video
examples. Try each of the You Try It
tutorial examples.
Section 3.1:
Computer
Chapter Homework: Work the Section 3.1 Homework Problems
Additional Textbook Practice: on pages 209 – 214: Odd exercises # 1--11, 19, 27,
39--45,
49, 51, 54, 61--75
Section 3.2:
Graphing Linear Equations in Two Variables
Computer
Chapter Homework: Work the Section 3.2 Homework Problems
Additional
Textbook Practice: on pages 223 – 228: exercises #1–33 odds, 41
Section 3.3:
Slope of a Line
Computer
Chapter Homework: Work the Section 3.3 Homework Problems
Additional
Textbook Practice: on pages 237 –
242: exercises #1—53 odds
Section 3.4: Equations of Lines
Computer
Chapter Homework: Work the Section 3.4 Homework Problems
Additional
Textbook Practice: on pages 251 – 256: exercises #5—11, 15—55
Section 3.5:
Graphing Linear Inequalities in Two Variables
Computer
Chapter Homework: Work the Section 3.5 Homework Problems
Additional
Textbook Practice: on pages 263 –
264: exercises #1—19 odds
To help prepare for the Module 2 Exam,
·
Read and Study the
Quick Review on pages 283 – 285
·
Work the
Review Exercises on pages 287 – 289:
exercises #1—45 odds
·
Work:
Chapter 3 Test on pages 293 – 296: exercises #1-17 all, 21, 22, 23
MODULE 3: SYSTEMS of LINEAR EQUATIONS and INEQUALITIES
MODULE OBJECTIVES:
·
Decide whether a
given ordered pair is a solution to a system.
(4.1)
·
Solve linear
systems by graphing. (4.1)
·
Solve linear
systems by substitution. (4.2)
·
Solve linear
systems by elimination. (4.3)
·
Solve problems
about quantities and their cost. (4.4)
·
Solve problems
about mixtures. (4.4)
·
Solve problems
about distance, rate (or speed), and time.
(4.4)
·
Solve systems of
linear inequalities by graphing the solution set. (4.5)
MODULE ACTIVITIES:
For each section:
Computer: Open
the multimedia textbook section to access video clips, animations, and practice exercises.
View the video lesson for the section or scan through the multimedia
text and view the video
examples. Try each of the You Try It
tutorial examples.
Section
4.1: Solving Systems of Linear Equations
by Graphing
Computer
Chapter Homework: Work the Section 4.1 Homework Problems
Additional
Textbook Practice: on pages 305 – 308: exercises #1—25 odds, 35, 37, 41
Section
4.2: Solving Systems of Linear Equations
by Substitution
Computer
Chapter Homework: Work the Section 4.2 Homework Problems
Additional
Textbook Practice: on pages 315 – 316: exercises #3—23 odds
Section
4.3: Solving Systems of Linear Equations
by Elimination
Computer
Chapter Homework: Work the Section 4.3 Homework Problems
Additional
Textbook Practice: on pages 321 – 324: exercises #5—27 odds, 37, 39
Section
4.4: Applications of Linear Systems
Computer
Chapter Homework: Work the Section 4.4 Homework Problems
Additional
Textbook Practice: on pages 333 – 338: exercises #1—13odds, 19, 21, 23, 27, 29, 33, 39,
41
To prepare
for the Module 3 Exam,
·
Read and Study the
Quick Review on pages 346 – 347
·
Work the
Review Exercises on pages 349 – 350:
exercises #1—27 odds
·
Work:
Chapter 4 Test on pages 353 – 354: exercises #1—14 all
MODULE 4: EXPONENTS and POLYNOMIALS
MODULE OBJECTIVES:
·
Introduction to
polynomials. (5.1)
·
Add and Subtract
polynomials. (5.1)
·
Learn the rules
for exponents. (5.2)
·
Use combinations
of the rules for exponents. (5.2)
·
Multiply a
monomial and a polynomial. (5.3)
·
Multiply
polynomials including two binomials.
(5.3)
·
Find the product
of the sum and difference of two terms.
(5.4)
·
Use 0 and
negative numbers as an exponent. (5.5)
·
Use the quotient
rule for exponents. (5.5)
·
Divide a
polynomial by a monomial. (5.6)
·
Divide a
polynomial by a first degree binomial. (5.7)
·
Express numbers
in scientific notation. (5.8)
·
Convert numbers
in scientific notation to numbers without exponents. (5.8)
MODULE ACTIVITIES:
For each section:
Computer: Open
the multimedia textbook section to access video clips, animations, and practice exercises.
View the video lesson for the section or scan through the multimedia
text and view the video
examples. Try each of the You Try It
tutorial examples.
Section 5.1:
Adding and Subtracting Polynomials
Computer Chapter Homework: Work the Section 5.1 Homework Problems
Additional Textbook Practice: on pages 363 – 366: exercises 1, 5, 15, 17, 21, 23,
25, 35, 37, 39, 55 – 61 odd, 65,
67, 69, 73, 75
Optional Group Work/Class Activity: Relating Concepts on page 364: exercises 43 – 46
Section 5.2:
The Product and Power Rules for Exponents
Computer Chapter Homework: Work the Section 5.2 Homework Problems
Additional Textbook Practice: on pages 373 – 374: exercises 1, 7, 9, 11, 13, 19,
21, 25, 27, 33 – 39 odd, 43, 45, 47, 53,
55, 67 – 73 odd, 79
Section 5.3:
Multiplying Polynomials
Computer Chapter
Homework: Work the
Section 5.3 Homework Problems
Additional Textbook Practice: on pages 381 – 382: exercises 1, 3, 7, 9, 11, 13, 21,
23, 25, 27, 29, 33, 45
Section 5.4:
Special Products
Computer Chapter Homework: Work the Section 5.4 Homework Problems
Additional Textbook Practice: on pages 387: exercises 1 – 11 odd, 17 – 27 odd
Section 5.5:
Integer Exponents and the Quotient Rule
Computer Chapter Homework: Work the Section 5.5 Homework Problems
Additional Textbook Practice: on pages 397 – 398: ex.# 9, 11, 13, 17 – 27 odd, 33, 35, 41, 43, 45,
55, 59, 63, 67
Section 5.6:
Dividing a Polynomial by a Monomial
Computer Chapter Homework: Work the Section 5.6 Homework Problems
Additional Textbook Practice: on pages 403: exercises 1, 3, 7 – 21 odd
Section 5.7:
Dividing a Polynomial by a Polynomial
Computer Chapter Homework: Work the Section 5.7 Homework Problems
Additional Textbook Practice: on page 409: exercises 1, 5 – 17 odd
Section 5.8:
An Application of Exponents: Scientific Notation
Computer Chapter Homework: Work the Section 5.8 Homework Problems
Additional Textbook Practice: on pages 415 – 416: exercises 1 – 9 odd, 15 – 25 odd,
29, 31
To prepare
for the Module 4 Exam,
·
Read and Study the
Quick Review on pages 418 – 419
·
Work the
Review Exercises on pages 421 – 423:
exercises 1, 2, 9 – 23, 25 – 27, 30, 31,
33
– 35, 39 – 41, 43 – 50, 55 – 60, 65, 66, 69, 70, 73 - 80
·
Work:
Chapter 5 Test on pages 425 – 426: exercises 1, 2, 4 – 11, 13 - 24
MODULE 5: FACTORING and APPLICATIONS
MODULE OBJECTIVES:
·
Find the greatest
common factor of a list of numbers and variables. (6.1)
·
Factor out the
greatest common factor and factor by grouping.
(6.1)
·
Factor trinomials
with a leading coefficient of 1. (6.2)
·
Factor trinomials
after factoring out the greatest common factor.
(6.2)
·
Factor trinomials
when the leading coefficient is not 1.
(6.3, 6.4)
·
Factor a difference
of squares and perfect square trinomials.
(6.5)
MODULE ACTIVITIES:
For each section:
Computer: Open
the multimedia textbook section to access video clips, animations, and practice exercises.
View the video lesson for the section or scan through the multimedia
text and view the video examples. Try each of the You Try It tutorial examples.
Section 6.1:
Factors; The Greatest Common Factor
Computer
Chapter Homework:
Work the Section 6.1 Homework Problems
Additional Textbook Practice: on pages 437 – 438: exercises 1, 5, 9 – 15 odd, 23 – 33
odd, 39, 43 – 67 odd
Section 6.2:
Factoring Trinomials
Computer
Chapter Homework:
Work the Section 6.2 Homework Problems
Additional Textbook Practice: on pages 443 – 444: exercises 1, 9, 11, 15, 19, 21,
25, 29, 33, 37 – 53 odd
Section 6.3:
Factoring Trinomials by Grouping
Computer Chapter Homework: Work the Section 6.3 Homework Problems
Additional Textbook Practice: on pages 447 – 448: exercises 1 – 9 odd, 15 – 33 odd
Section 6.4: Factoring Trinomials Using
FOIL
Computer
Chapter Homework:
Work the Section 6.4 Homework Problems
Additional Textbook Practice: on pages 453 – 454: exercises 1 – 11 odd, 15 – 29 odd,
33, 37, 41, 45, 47, 49
Section
6.5: Special Factoring Techniques
Computer
Chapter Homework:
Work the Section 6.5 Homework Problems
Additional Textbook Practice: on pages 461 – 462: exercises 1, 5 – 15 odd, 21, 23,
25, 27, 33 – 49 odd
To prepare
for the Module 5 Exam,
·
Read and Study the
Quick Review on pages 488 – 489
·
Work the
Review Exercises on pages 491 – 492: exercises 1 – 3, 5 – 12, 16 – 19, 23 – 28,
33
– 35, 39 – 42
·
Work:
Chapter 6 Test on page 497 – 498: exercises 1 – 16, 19, 20