MAT 0022C Developmental Mathematics II

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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Students with 3 or more unexcused absences may be withdrawn by the instructor.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 a1
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:
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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.
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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
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Enter www.pearsonmylab.com in your web browser.
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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
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