PENN STATE UNIVERSITY
ABINGTON COLLEGE
MATHEMATICS DEPARTMENT

MATH 22

Catalog Description:   ALGEGRA II & ANALYTIC GEOMETRY (3) 
  Relations, functions, graphs; polynomial, rational functions, 
  graphs; word problems; nonlinear inequalities; inverse
  functions; exponential, logarithmic functions; conic sections; 
 simultaneous equations.  

Prerequisite: MATH 21 or satisfactory performance on the mathematics
 proficiency examination.


Text: College Algebra (4th ed., 2000), Stewart/Redlin/Watson,     
 Brooks/Cole Publ. Co.

TOPICS

Review of Math 21

CHAPTER 1 EQUATIONS and INEQUALITIES
1.6	Inequalities

CHAPTER 3 FUNCTIONS
3.1	What is a Function?
3.2	Graphs of Equations
3.3	Increasing and Decreasing Functions
3.4	Transformations of Functions
3.5	Quadratic Functions
3.6	Combining Functions
3.7	One-to-One Functions and their Inverses



CHAPTER 4 POLYNOMIAL AND RATIONAL FUNCTIONS
4.1	Polynomial Functions and their Graphs
4.2	Dividing Polynomials
4.3	Real Zeros of Polynomials
4.4	The Fundamental Theorem of Algebra
4.5	Rational Functions

CHAPTER 5 EXPONENTIAL AND LOGARITHMIC FUNCTIONS
5.1	Exponential Functions
5.2	Logarithmic Functions
5.3	Laws of Logarithms
5.4	Exponential and Logarithmic Equations

CHAPTER 6 SYSTEMS OF EQUATIONS AND INEQUALITIES
7.1	Systems of Equations
7.2	Systems of Linear Equations in Two Variables

CHAPTER 8 CONIC SECTIONS
8.1	Parabolas
8.2	Ellipses
8.3	Hyperbolas


The Mathematics Department requires that the instructor must adhere to the syllabus.  (8/23/04)