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The Algebra Buster
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June 19th









June 19th

Intermediate Algebra

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
 
   
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
 
   
III. Exponents, Polynomials and Factoring 7
A. Rules of Exponents
B. Scientific Notation
C. Fundamental Operations on Polynomials
D. Factoring
 
   
IV. Algebraic Fractions 7
A. Fundamental Operations
B. Complex Fractions
C. Equations with Algebraic Fractions
D. Applications
 
   
V. Roots and Radicals 8
A. Rational Exponents
B. Roots and Radicals
  1. Simplification
  2. Operations on Radicals
  3. Equations Containing Radicals
 
   
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
 
   
VII. Relations and Functions 5
A. Basic Concepts
B. Functional Notation
C. Domain and Range
D. Evaluate Functions
 
   
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
 
   
IX. Systems of Linear Equations and Inequalities 4
A. In Two Variables
B. Applications
 
   
*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  
Section 2    
TYPE OF COURSE: (Click on the box to check all that apply)    
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)    
INDICATE BELOW THE DISCIPLINE AREA FOR GENERAL EDUCATION COURSES:
Communication Social & Behavioral Sciences Mathematics
Natural Sciences Humanities
Section 4        
INTELLECTUAL COMPETENCIES:        
Reading Speaking Critical Analysis Quantitative Skills Scientific Method of Inquiry
Writing Listening Information Literacy Ethical Judgment Working Collaboratively
Section 5    
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:  
Perform operations on sets and subsets and use
proper notation and symbolism
 
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  
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  
Develop proficiency in solving linear equations and linear inequalities  
Solve quadratic equations by factoring, square-root property, completing the square and quadratic formula.  
Translate real-world problems using mathematical equations or inequalities and use the solution to solve the problem  
Solve absolute value equations and inequalities and represent the solutions using interval notation as well as graphically  
Translate a verbal or written statement into one which contains an absolute value expression.  
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  
See the connection between linear equations and real-world models  
See the connection between the slope of a line and its graph  
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  
Solve systems of linear equations and inequalities and be able to use these tools in the solution of practical applications  
Demonstrate proficiency in performing operations on polynomials including addition, subtraction, multiplication and division of polynomial expressions.  
Demonstrate proficiency in interpreting information from the graph of an equation.  
   
Demonstrate proficiency in factoring polynomials  
Demonstrate proficiency in operations with rational expressions including adding, subtracting, multiplying and dividing rational expressions  
Simplify complex fractions  
Solve rational equations  
Represent radicals using rational exponents as well as the radical symbol  
Perform basic operations on radicals and simplify radical expressions  
Solve equations involving one or more radicals  
Distinguish between a quadratic equation and linear equation  
Simplify complex numbers of the form where a>0  
See the connection between quadratic functions and one or more practical real-world applications  
Demonstrate mastery of appropriate mathematics terminology and symbols  
  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              
KNOWLEDGE Primary Secondary N/A VALUE Primary Secondary N/A
A. Global and Historical Knowledge & Understanding Intellectual honesty
•Comprehends a general knowledge of the nature, origins and contributions of major civilizations Curiosity and openness to new ideas
•Comprehends the workings and interrelations of personal, business and government economies Recognition of one’s own creative potential
•Comprehends political, social and economic systems and their effects upon society Acceptance of and respect for differences among people and cultures
B. Cultural and Aesthetic Knowledge and Understanding
•Comprehends the contributions of the arts and humanities to the human experience on a personal, national or global level Civic Engagement
•Comprehends the historical development of the arts and sciences Lifelong Learning
•Comprehends religious and cultural systems and their effects upon society        
C. Human Awareness and Understanding        
•Comprehends the dynamics of human behavior and the process of increasing self-awareness, growth and development        
•Comprehends the stages of human development and the dynamics of human relationships in diverse cultures        
•Comprehends the factors that promote physical, mental and social well-being        
D. Mathematics, Science and Technology        
•Comprehends the basic concepts and investigative processes of the natural sciences        
•Comprehends the breadth, significance and development of the mathematical sciences        
•Comprehends the ways science and technology have shaped and continue to reshape human cultures and the environment        
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