Collage Algebra / Richard N. Aufmann, Vernon C. Barker, Richard D. Nation

Contents
1. Equations and Inequalities
Linear equations
Formulas and Applications
Quadratic Equations
Other types of Equations
Inequalities

2. Functions and Graphs
A two-dimensional coordinate system and graphs
Introduction to functions
Properties of graphs
The Algebra of functions

3. Polynomial and Rational functions
Polynomial division and synthetic division
Polynomial functions
Zeros of Polynomial functions
The fundamental theorem of Algebra
Rational functions and their Graphs

4. Exponential and Logarithmic Functions
Inverse functions
Exponential functions and their Graphs
Logarithmic functions and their Graphs
Properties of Logarithms
Exponential and Logarithmic equations

5. Topics in Analytic Geometry
Parabolas
Ellipses
Hyperbolas

6. Systems of Equations
Systems of linear equations in Two-Variables
Systems of linear equations in more than Two variables
Nonlinear systems equations
Partial fractions
Inequalities in Two Variables and systems of Inequalities

7. Matrices
Gaussian Elimination method
The Algebra of matrices
The Inverse of a Matrix
Determinants
Cramer's Rule

8. Sequences, Series and Probability
Infinite sequences and summation notation
Arithmetic sequences and series
Geometric sequences and series
Mathematical induction
The binomial Theorem
Permutations and combinations

Includes Bibliography and index