| |
| |
True/False Exercises | |
| |
| |
Review Exercises, and a Chapter Test | |
| |
| |
| |
Preliminary Concepts | |
| |
| |
| |
The Real Number System | |
| |
| |
| |
Intervals, Absolute Value, and Distance | |
| |
| |
| |
Integer and Rational Number Exponents | |
| |
| |
| |
Polynomials | |
| |
| |
| |
Factoring | |
| |
| |
| |
Rational Expressions Exploring Concepts with Technology: Can You Trust Your Calculator? | |
| |
| |
| |
Equations and Inequalities | |
| |
| |
| |
Linear Equations | |
| |
| |
| |
Formulas and Applications | |
| |
| |
| |
Quadratic Equations | |
| |
| |
| |
Other Types of Equations | |
| |
| |
| |
Inequalities | |
| |
| |
| |
Variation and Applications Exploring Concepts with Technology: The Mandelbrot Replacement Procedure | |
| |
| |
| |
Functions and Graphs | |
| |
| |
| |
A Two-Dimensional Coordinate System and Graphs | |
| |
| |
| |
Introduction to Functions | |
| |
| |
| |
Linear Functions | |
| |
| |
| |
Quadratic Functions | |
| |
| |
| |
Properties of Graphs | |
| |
| |
| |
The Algebra of Functions | |
| |
| |
| |
Modeling Data Using Regression Exploring Concepts with Technology: Graphing Piecewise Functions with a Graphing Calculator | |
| |
| |
| |
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 Exploring Concepts with Technology: Finding Zeros of a Polynomial Using Mathematica | |
| |
| |
| |
Exponential and Logarithmic Functions | |
| |
| |
| |
Inverse Functions | |
| |
| |
| |
Exponential Functions and Their Graphs | |
| |
| |
| |
Logarithms Functions and Their Graphs | |
| |
| |
| |
Properties of Logarithms | |
| |
| |
| |
Exponential and Logarithmic Equations | |
| |
| |
| |
Applications of Exponential and Logarithmic Functions | |
| |
| |
| |
Modeling Data with Exponential and Logarithmic Functions Exploring Concepts with Technology: Using a Semi-Log Graph to Model Exponential Decay | |
| |
| |
| |
Topics in Analytic Geometry | |
| |
| |
| |
Parabolas | |
| |
| |
| |
Ellipses | |
| |
| |
| |
Hyperbolas Exploring Concepts with Technology: Using a Graphing Calculator to Illustrate a Property of Parabolas | |
| |
| |
| |
Systems of Equations | |
| |
| |
| |
Systems of Linear Equations in Two Variables | |
| |
| |
| |
Systems of Linear Equations in More Than Two Variables | |
| |
| |
| |
Nonlinear Systems of Equations | |
| |
| |
| |
Partial Fractions | |
| |
| |
| |
Inequalities in Two Variables and Systems of Inequalities | |
| |
| |
| |
Linear Programming Exploring Concepts with Technology: Ill-Conditioned Systems of Equations | |
| |
| |
| |
Matrices | |
| |
| |
| |
Gaussian Elimination Method | |
| |
| |
| |
The Algebra of Matrices | |
| |
| |
| |
The Inverse of a Matrix | |
| |
| |
| |
Determinants | |
| |
| |
| |
Cramer's Rule Exploring Concepts with Technology: Stochastic Matrices | |
| |
| |
| |
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 | |
| |
| |
| |
Introduction to Probability Exploring Concepts with Technology: Mathematical Expectation Solutions to Selected Exercises | |
| |
| |
Answers to Odd-Numbered Exercises | |
| |
| |
Glossary | |
| |
| |
Index | |