College algebra / 4th ed.

P. Prerequisites: Fundamental Concepts of Algebra
Real Numbers and Algebraic Expressions
Exponents and Scientific Notation
Radicals and Rational Exponents
Polynomials
Factoring Polynomials
Rational Expressions
Equations, Inequalities, and Mathematical Models
Graphs and Graphing Utilities
Linear Equations
Formulas and Applications
Quadratic Equations
Other Types of Equations
Linear Inequalities
Quadratic and Rational Inequalities
Functions and Graphs
Lines and Slope
Distance and Midpoint Formulas: Circles
Basics of Functions
Graphs of Functions
Transformations of Functions
Combinations of Functions: Composite Functions
Inverse Functions
Polynomial and Rational Functions
Quadratic Functions
Polynomial Functions and Their Graphs
Dividing Polynomials: Remainder and Factor Theorems
Zeros of Polynomial Functions
More on Zeros of Polynomial Functions
Rational Functions and Their Graphs
Modeling Using Variation
Exponential and Logarithmic Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Exponential and Logarithmic Equations
Modeling with Exponential and Logarithmic Functions
Systems of Equations and Inequalities
Systems of Linear Equations in Two Variables
Systems of Linear Equations in Three Variables
Partial Fractions
Systems of Nonlinear Equations in Two Variables
Systems of Inequalities
Linear Programming
Matrices and Determinants
Matrix Solutions to Linear Systems
Inconsistent and Dependent Systems and Their Applications
Matrix Operations and Their Applications
Multiplicative Inverses of Matrices and Matrix Equations
Determinants and Cramer's Rule
Conic Sections
The Ellipse
The Hyperbola
The Parabola
Sequences, Induction, and Probability
Sequences and Summation Notation
Arithmetic Sequences
Geometric Sequences
Mathematical Induction
The Binomial Theorem
Counting Principles, Permutations, and Combinations
Probability
Appendix: Where Did That Come From? Selected Proofs
Answers to Selected Exercises
Subject Index
Photo Credits