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May 23rd

May 23rd

# Course Syllabus for Intermediate Algebra

Textbook: Intermediate Algebra, 10th Edition. Margaret Lial, John Hornsby, & Terry McGinnis.
Pearson / Addison Wesley: Boston, 2008.

Catalog Description:
Topics include factoring techniques, radicals, algebraic fractions , complex numbers, graphing linear
equations and inequalities , quadratic equations, systems of equations, an introduction to functions, and
graphing quadratic functions. Emphasis is placed on the algebraic techniques needed in order to
successfully complete Math 1314 College Algebra. A departmental final examination must be passed
with a score of 60% or higher in order to pass the course.

Prerequisites:
Math 0308 or MATH 0108: Pass with "C" or better
Or
Suitable placement test score.

Credit: 3 hours credit (3 hours lecture and 1 hour lab).

Course Intent & Audience:
This course is intended for students who require state mandated remediation. It is the final course in the
developmental mathematics sequence, and its purpose is to prepare students for College Algebra.

Policy on Late As signments and Make –Up Exams: All homework assignments will be due on the day
of each exam. Also, there will be NO makeup exams. If you miss an exam, the final exam will count
twice. It will count once for the missed exam and again for the final exam itself. If you know in
advance that you will be absent on an exam day, please let me know as soon as possible.

## Course Schedule

Chapter 2 Linear Equations , Inequalities, and Applications
2.5 Linear Inequalities in One Variable

Chapter 3 Graphs, Linear Equations, and Functions
3.1 The Rectangular Coordinate System
3.2 The Slope of a Line
3.3 Linear Equations in Two Variables
3.4 Linear Inequalities in Two Variables (Omit compound inequalities.)
3.5 Introduction to Functions

Chapter 4 Systems of Linear Equations
4.1 Systems of Linear Equations in Two Variables

Chapter 5 Exponents, Polynomials, and Polynomial Functions
5.4 Multiplying Polynomials
5.5 Dividing Polynomials

Chapter 6 Factoring
6.1 Greatest Common Factors; Factoring by Grouping
6.2 Factoring Trinomials
6.3 Special Factoring
6.4 A General Approach to Factoring
6.5 Solving Equations by Factoring

Chapter 7 Rational Expressions and Functions
7.1 Rational Expressions and Functions; Multiplying and Dividing
7.2 Adding and Subtracting Rational Expressions
7.3 Complex Fractions
7.4 Equations with Rational Expressions and Graphs
7.5 Applications of Rational Expressions

Chapter 8 Roots, Radicals, and Root Functions
8.2 Rational Exponents (Include a review of exponents.)
8.5 Multiplying & Dividing Radical Expressions (Omit rationalizing cube & 4th roots.)
8.7 Complex Numbers

Chapter 9 Quadratic Equations, Inequalities, and Functions
9.1 The Square Root Property and Completing the Square

THE SECTIONS LISTED ABOVE UNDER COURSE SCHEDULE MUST BE COVERED.

The content of the following sections include material that is embedded in other sections of the
course or that was covered in the previous math course or that will be studied in the next course MATH
1314. Based on this, the instructor may discuss the sections listed below if time permits:

2.1 Linear Equations in One Variable
2.2 Formulas
2.3 Applications of Linear Equations
2.7 Absolute Value Equations
5.1 Integer Exponents and Scientific Notation
7.6 Variation
9.6 More about Parabolas (omit horizontal parabolas and applications )
11.5 Second-Degree Inequalities (Example 1 only; omit systems of inequalities)

Course Objectives:
Upon completion of this course, a student should be able to perform the following mathematical skills:
1. multiply and divide polynomials.
2. factor polynomials.
3. add, subtract, multiply, and divide rational expressions.
4. simplify complex fractions.
5. solve equations involving rational expressions.
6. graph linear equations & linear inequalities in two variables.
7. find the slope of a line & its equation.
8. simplify rational exponents and radicals.
10. add, subtract, multiply, and divide complex numbers.
11. solve quadratic equations by factoring, completing the square, using the quadratic
formula, and using the square root property.
12. solve systems of linear equations in two variables.
13. solve word problems.
14. recognize functional notation and evaluate functions.