Topical Outline:
1. The Real Numbers
A. The Set of Real Numbers
B. Operations and Properties
C. Inequalities and Absolute Value
D. Algebraic Expressions
E. Properties of Exp onents and Scientific Notation
2. Linear Equations and Inequalities
A. Solutions of Linear Equations in One Variable
B. Literal Equations and Formulas
C. Applications and Problem Solving
D. Linear Inequalities
3. Graphs of Linear Relations and Functions
A. Graphing Linear Equations
B. Introduction to Functions
C. The Slope of a Line
D. Forms of Linear Equations
E. Graphing Linear Inequalities
4. Systems of Linear Relations
A. Systems of Linear Equations in Two Variables
B. Systems of Linear Equations in Three Variables
C. De terminants and Cramer ’ s rule (AppendixTBA)
5. Polynomials and Polynomial Functions
A. Addition and Subtraction of Polynomials
B. Multiplication of Polynomials
C. Division of Polynomials
D. Common Factors and Factoring by Grouping
E. Factoring Special Binomials
F. Factoring Trinomials: Trial and Error
G. Factoring Trinomials: The ac Method
H. Strategies in Factoring
I. Solving Quadratic Equations by Factoring
6.Rational Expressions and Functions
A. Simplification of Rational Expressions and Functions
B. Multiplication and Division of Rational Expressions and Functions
C. Addition and Subtraction of Rational Expressions and Functions
D. Complex Fractions
E. Solving Rational Equations
F. Variation
7. Radicals and Rational Exponents
A. Roots and Radicals
B. Simplification of Radical Expressions
C. Operations on Radical Expressions
D. Solving Radical Equations
E. Geometric and Other Applications
F. Rational Exponents
G. Complex Numbers
8. Quadratic Equations and Inequalities
A. Graphs of Quadratic Functions
B. Solving Quadratic Equations by Completing the Square
C. Solving Quadratic Equations by Using the Quadratic Formula
D. Equations That Are Quadratic in Form
9. Conic Sections
A. Parabolas
B. Circles
10. Additional Properties of Functions
A. Algebra of Functions
B. Composition of Functions
C. One to One and Inverse Functions
11. Exponential and Logarithmic Functions
A. Exponential Functions
B. Logarithmic Functions
C. Properties of Logarithms
D. Solving Logarithmic and Exponential Equations
Homework
and Worksheet/Classwork
As signment Policies
To receive full credit on homework and classwork assignments and to ensure that
they
get graded, you must follow these instructions:
1. Homework assignments will be turned in on time as indicated on the syllabus
or as
indicated by the instructor.
2. Classwork assignments will be turned in at the end of the class or as
indicated by the
instructor.
3. No late work will be accepted regardless of absence. It is your
responsibility to get
the work turned in.
4. Include name, class section number, and date at the top of each page.
5. Assigned chapter, section, and problem numbers should be listed at the top of
the first
page.
6. Assignments need not be typed, but must be legible.
7. Assignments should be well organized, neat, and all problems should be
clearly
labeled.
8. Show all work or no credit will be given.
9. Follow all directions or points may be deducted.
10. Assignments must be completed using the current text edition as indicated in
the
syllabus.
11. Graph paper should be utilized as necessary.
12. Problems must be completed in the order that they are assigned.
13. Solutions to all problems must be boxed or circled . Solutions not clearly
identified
will not be graded and will receive no points.
14. Each assignment must be stapled together. Assignments not stapled will
result in a
zero score for that assignment.