PENN STATE UNIVERSITY
ABINGTON COLLEGE
MATHEMATICS DEPARTMENT

MATH 021

Catalog Description:  COLLEGE ALGEBRA (3) Quadratic equations; equations in quadratic form; word problems; graphing; algebraic fractions; negative and rational exponents radicals.

Prerequisite:  Math 4 or placement into Math 21 on the mathematics proficiency exam.

Test:  Algebra for College Students,5th ed., Lial and Hornsby, Addison-Wesley

TOPICS

REVIEW	
1.1; 1.2; 1.3  Basic Concepts, The Real Numbers
2.1; 2.2; 2.3  Solving Linear Equations

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

CHAPTER 4  SYSTEMS OF LINEAR EQUATIONS  
    4.1    Systems of Linear Equations in Two Variables

CHAPTER 5  EXPONENTS AND POLYNOMIALS
   5.1   Integer Exponents and Scientific Notation
   5.2   Adding and Subtracting Polynomials
   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
   7.1   Rational Expressions and Functions; Multiplying and Dividing
   7.2   Adding and Subtracting of Rational Expressions
   7.3   Complex Fractions
   7.4   Equations with Rational Expressions
   7.5   Applications of Rational Expressions

CHAPTER 8  ROOTS AND RADICALS
   8.1   Radical Expressions and Graphs
   8.2   Rational Exponents
   8.3   Simplifying Radical Expressions
   8.4   Adding and Subtracting Radical Expressions
   8.5   Multiplying and Dividing Radical Expressions
   8.6   Solving Equations with Radicals
   8.7   Complex Numbers

CHAPTER 9  QUADRATIC EQUATIONS AND INEQUALITIES
   9.1   The Square Root Property and Completing the Square
   9.2   The Quadratic Formula
   9.3   Equations Quadratic in Form
   9.4   Formulas and Further Applications

CHAPTER 10  ADDITIONAL GRAPHS OF FUNCTIONS
   10.2  Graphs of Quadratic Functions
   10.3  More About Parabolas; Applications


The Mathematics Department requires that the instructor must adhere to the syllabus. (8/20/04)