CATA LOG COURSE DESCRIPTION:
This course is designed for students who require
additional skills in algebra before taking MAC 1105, MGF 1106 or MGF 1107. The
major topics include sets, linear equations and inequalities with applications ,
absolute value, polynomials and factoring , rational expressions with
applications, exponents, roots and radicals, quadratic equations with
applications, relations and functions, graphs and systems of linear equations
and inequalities. This course does not apply toward the associate in arts degree
(CBE).
SUGGESTED TEXT(S):
Intermediate Algebra, Lial Addison-Wesley, Current Edition
Intermediate Algebra w/HM3 CDROM Smart Thinking
Password Web, Aufmann Houghton-Mifflin, Current Edition,
Intermediate Algebra, Martin-Gay Pearson Education
(Prentice-Hall), Current Edition
Intermediate Algebra, A Graphing Approach, Martin-
Gay/Greene, Pearson Prentice Hall.
Interactive Math – Intermediate Algebra, Martin-Gaye,
Current Ed. Pearson Education (Prentice-Hall)
Intermediate Algebra, Johnston Thomson Learning, Current
Edition
Intermediate Algebra, (Alternate) Lial Addison-Wesley,
Current Edition
Intermediate Algebra for College Students, Angel, Current
Edition Pearson Education (Prentice Hall)
Intermediate Algebra, Aufmann Houghton-Mifflin, Current
Edition
Intermediate Algebra for College Students, Angel, Current
Edition
Intermediate Algebra w/Applications, Wesner, Bernard J.
Klein Publishing, Current Edition
Intermediate Algebra, Edward Burger Thinkwell, Current
Edition
ELECTRONIC RESOURCES:
MyMathLab, Pearson Publishing ALEKS/Math Zone,
Mcgraw Hill
IMPLEMENTATION DATE:
Winter Term, 1967 (672) (was MS 00103)
REVIEW OR MODIFICATION DATE:
Fall Term, 1998 (991)
Fall Term, 2002 (20031)
Spring Term, 2005 (20052)
Fall Term, 2005 (20061)
Fall Term 2008 (20091) - Outline Review 2007
| COURSE TOPICS |
CONTACT HOURS
PER TOPIC |
| I. Sets |
1 |
A. Sets, Notations, Symbolism, Set Operations
B. Subsets of the Real Numbers
C. Review of Operations with Real Numbers |
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| II. Linear Equations and Inequalities |
9 |
A. Linear Equations, One Variable
B. Formulas and Literal Equations
C. Linear Inequalities, One Variable
D. Equations and Inequalities Involving Absolute Value
E. Applications |
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| III. Exponents, Polynomials and Factoring |
7 |
A. Rules of Exponents
B. Scientific Notation
C. Fundamental Operations on Polynomials
D. Factoring |
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| IV. Algebraic Fractions |
7 |
A. Fundamental Operations
B. Complex Fractions
C. Equations with Algebraic Fractions
D. Applications |
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| V. Roots and Radicals |
8 |
A. Rational Exponents
B. Roots and Radicals
1. Simplification
2. Operations on Radicals
3. Equations Containing Radicals |
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| VI. Quadratic Equations and Inequalities |
11 |
A. Solving Quadratic Equations
1. Factoring
2. Root Extraction
3. Completing the Square
4. Quadratic Formula
B. Complex Numbers as Solutions to Quadratic Equations
C. Applications
1. Problems Involving Pythagorean Theorem
2. Other Applications
D. Solving Quadratic Inequalities |
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| VII. Relations and Functions |
5 |
A. Basic Concepts
B. Functional Notation
C. Domain and Range
D. Evaluate Functions |
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| VIII. Graphs |
8 |
A. The Rectangular Coordinate System
B. Linear Equations
1. Slope
a) slope as a rate of change
b) applications of slope to real world problems
2. Perpendicular and Parallel Lines
3. Equations of the Line
C. Linear Inequalities
D. Introduction to Non-Linear Equations
1. Plot non -linear graphs including exponential functions
2. Associate equations with graph of functions
a) Linear Function
b) Absolute Value Function
c) Parabola
d) Cubic Function (Optional)
e) Square Root Function (Optional)
E. Domain and Range |
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| IX. Systems of Linear Equations and Inequalities |
4 |
A. In Two Variables
B. Applications |
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| *COURSE TOPICS NEED NOT BE PRESENTED
IN THE INDICATED SEQUENCE. |
NOTE: Use either the Tab key or mouse click to move from field to field. The
box will expand to accommodate your entry.
Section 1
COURSE PREFIX AND NUMBER: MAT 1033 |
SEMESTER CREDIT HOURS: 4 |
| COURSE TITLE: Intermediate Algebra |
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| Section 2 |
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| TYPE OF COURSE: (Click on the box to check all that apply) |
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AA
Elective |
AS
Required Professional Course |
College
Prep |
AS
Professional Elective |
AAS
Required Professional Course |
Technical
Certificate |
Other___________________________________________ |
General
Education: (For General Education courses, you must also complete
Section 3 and Section 7) |
| Section 3 (If applicable) |
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| INDICATE BELOW THE DISCIPLINE AREA FOR GENERAL EDUCATION
COURSES: |
Communication |
Social
& Behavioral Sciences |
Mathematics |
Natural
Sciences |
Humanities |
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| Section 4 |
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| INTELLECTUAL COMPETENCIES: |
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Reading |
Speaking |
Critical
Analysis |
Quantitative
Skills |
Scientific
Method of Inquiry |
Writing |
Listening |
Information
Literacy |
Ethical
Judgment |
Working
Collaboratively |
| Section 5 |
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| LEARNING OUTCOMES |
METHOD OF ASSESSMENT |
| • |
The successful student should develop: |
Students are: |
| • |
An appreciation of mathematics, confidence in
their
abilities to learn and use mathematics, a positive
attitude towards mathematics, critical thinking skills |
Confident in their abilities and have a more
positive
attitude towards mathematics as demonstrated by
completing assigned homework, instructor observation,
class assignments, quizzes and tests, cooperative
learning and computer activities. |
| • |
The successful student will be able to: |
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| • |
Perform operations on sets and subsets and use
proper notation and symbolism |
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Evaluate formulas used in other disciplines such
as
science, business, statistics, geometry and other
applied areas involving routine operations with real
numbers. |
Students will demonstrate critical thinking
skills by
successfully completing homework assignments, by
solving problems on quizzes and tests, instructor
observation, class assignments and discussions,
cooperative learning and computer activities. |
| • |
Demonstrate understanding of the concept of
function
by several means (verbally, numerically, graphically,
and symbolically) and incorporate it as a central theme
into the use of mathematics. |
Students will demonstrate factual knowledge of
algebraic principles and procedures through frequent
and recurring tests and quizzes, instructor observation,
assigned homework, class assignments and
discussion, cooperative learning and computer
activities. |
| • |
Evaluate functions |
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| • |
Construct graphs of linear, quadratic, absolute
value and cubic functions* (optional) by plotting points |
Students will be able to connect mathematics to
other disciplines and solve real-world application problems by frequent
and recurring tests and quizzes, instructor observation, homework, class
assignments and discussions, and cooperative learning and computer
activities. |
| • |
Identify the domain and range of a function |
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Develop proficiency in solving linear equations
and linear inequalities |
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Solve quadratic equations by factoring,
square-root property, completing the square and quadratic formula. |
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Translate real-world problems using mathematical
equations or inequalities and use the solution to solve the problem |
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Solve absolute value equations and inequalities
and represent the solutions using interval notation as well as
graphically |
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Translate a verbal or written statement into one
which contains an absolute value expression. |
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| • |
Develop proficiency in representing linear
equations in various forms (point-slope form, slope intercept form,
general form) and see the connection between these various equations |
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See the connection between linear equations and
real-world models |
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See the connection between the slope of a line
and its graph |
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Interpret the slope of a line in several ways:
rate of change, measure of steepness of a line and apply the concept of
slope to various real-world applications |
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Solve systems of linear equations and
inequalities and be able to use these tools in the solution of practical
applications |
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Demonstrate proficiency in performing operations
on polynomials including addition, subtraction, multiplication and
division of polynomial expressions. |
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Demonstrate proficiency in interpreting
information from the graph of an equation. |
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Demonstrate proficiency in factoring polynomials |
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Demonstrate proficiency in operations with
rational expressions including adding, subtracting, multiplying and
dividing rational expressions |
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Simplify complex fractions |
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Solve rational equations |
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Represent radicals using rational exponents as
well as the radical symbol |
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Perform basic operations on radicals and simplify
radical expressions |
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Solve equations involving one or more radicals |
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Distinguish between a quadratic equation and
linear equation |
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Simplify complex numbers of the form
where a>0 |
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See the connection between quadratic functions
and one or more practical real-world applications |
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Demonstrate mastery of appropriate mathematics
terminology and symbols |
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| • |
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Summative evaluations may be administered to
students and may include a midterm examination as well as a final
examination. Summative evaluations should measure factual knowledge of
skills, procedures, and principles needed to be successful in the
subsequent college algebra class. |
| Section 7 |
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| KNOWLEDGE |
Primary |
Secondary |
N/A |
VALUE |
Primary |
Secondary |
N/A |
| A. Global and Historical Knowledge & Understanding |
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Intellectual honesty |
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| •Comprehends a general knowledge of the
nature, origins and contributions of major civilizations |
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Curiosity and openness to new ideas |
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| •Comprehends the workings and
interrelations of personal, business and government economies |
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Recognition of one’s own creative potential |
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| •Comprehends political, social and
economic systems and their effects upon society |
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Acceptance of and respect for differences among people
and cultures |
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| B. Cultural and Aesthetic Knowledge and Understanding |
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| •Comprehends the contributions of the arts
and humanities to the human experience on a personal, national or global
level |
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Civic Engagement |
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| •Comprehends the historical development of
the arts and sciences |
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Lifelong Learning |
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| •Comprehends religious and cultural
systems and their effects upon society |
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| C. Human Awareness and Understanding |
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| •Comprehends the dynamics of human
behavior and the process of increasing self-awareness, growth and
development |
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| •Comprehends the stages of human
development and the dynamics of human relationships in diverse cultures |
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| •Comprehends the factors that promote
physical, mental and social well-being |
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| D. Mathematics, Science and Technology |
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| •Comprehends the basic concepts and
investigative processes of the natural sciences |
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| •Comprehends the breadth, significance and
development of the mathematical sciences |
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| •Comprehends the ways science and
technology have shaped and continue to reshape human cultures and the
environment |
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