Author(s): Paul Dawkins
Year: 2007
Preface
Outline
Preliminaries
Introduction
Integer Exponents
Rational Exponents
Real Exponents
Radicals
Polynomials
Factoring Polynomials
Rational Expressions
Complex Numbers
Solving Equations and Inequalities
Introduction
Solutions and Solution Sets
Linear Equations
Application of Linear Equations
Equations With More Than One Variable
Quadratic Equations – Part I
Quadratic Equations – Part II
Solving Quadratic Equations : A Summary
Application of Quadratic Equations
Equations Reducible to Quadratic Form
Equations with Radicals
Linear Inequalities
Polynomial Inequalities
Rational Inequalities
Absolute Value Equations
Absolute Value Inequalities
Graphing and Functions
Introduction
Graphing
Lines
Circles
The Definition of a Function
Graphing Functions
Combining Functions
Inverse Functions
Common Graphs
Introduction
Lines, Circles and Piecewise Functions
Parabolas
Ellipses
Hyperbolas
Miscellaneous Functions
Transformations
Symmetry
Rational Functions
Polynomial Functions
Introduction
Dividing Polynomials
Zeroes/Roots of Polynomials
Graphing Polynomials
Finding Zeroes of Polynomials
Partial Fractions
Exponential and Logarithm Functions
Introduction
Exponential Functions
Logarithm Functions
Solving Exponential Equations
Solving Logarithm Equations
Applications
Systems of Equations
Introduction
Linear Systems with Two Variables
Linear Systems with Three Variables
Augmented Matrices
More on the Augmented Matrix
Non-Linear Systems