| |
| |
| Index of Applications | |
| |
| |
| |
| Review of Basic Algebra | |
| |
| |
| Sets of Real Numbers | |
| |
| |
| Integer Exponents and Scientific Notation | |
| |
| |
| Rational Exponents and Radicals | |
| |
| |
| Polynomials | |
| |
| |
| Factoring Polynomials | |
| |
| |
| Algebraic Fractions | |
| |
| |
| |
| Equations and Inequalities | |
| |
| |
| Equations | |
| |
| |
| Applications of Linear Equations | |
| |
| |
| Quadratic Equations | |
| |
| |
| Applications of Quadratic Equations | |
| |
| |
| Complex Numbers | |
| |
| |
| Polynomial and Radical Equations | |
| |
| |
| Inequalities | |
| |
| |
| Absolute Value | |
| |
| |
| |
| The Rectangular Coordinate System and Graphs of Equations | |
| |
| |
| The Rectangular Coordinate System | |
| |
| |
| The Slope of a Nonvertical Line | |
| |
| |
| Writing Equations of Lines | |
| |
| |
| Graphs of Equations | |
| |
| |
| Proportion and Variation | |
| |
| |
| |
| Functions | |
| |
| |
| Functions and Function Notation | |
| |
| |
| Quadratic Functions | |
| |
| |
| Polynomial and Other Functions | |
| |
| |
| Translating and Stretching Graphs | |
| |
| |
| Rational Functions | |
| |
| |
| Operations on Functions | |
| |
| |
| Inverse Functions | |
| |
| |
| |
| Exponential and Logarithmic Functions | |
| |
| |
| Exponential Functions and Their Graphs | |
| |
| |
| Applications of Exponential Functions | |
| |
| |
| Logarithmic Functions and Their Graphs | |
| |
| |
| Applications of Logarithmic Functions | |
| |
| |
| Properties of Logarithms | |
| |
| |
| Exponential and Logarithmic Equations | |
| |
| |
| |
| Solving Polynomial Equations | |
| |
| |
| The Remainder and Factor Theorems: Synthetic Division | |
| |
| |
| Descartes' Rule of Signs and Bounds on Roots | |
| |
| |
| Rational Roots of Polynomial Equations | |
| |
| |
| Irrational Roots of Polynomial Equations | |
| |
| |
| |
| Linear Systems | |
| |
| |
| Systems of Linear Equations | |
| |
| |
| Gaussian Eliminations and Matrix Methods | |
| |
| |
| Matrix Algebra | |
| |
| |
| Matrix Inversion | |
| |
| |
| Determinants | |
| |
| |
| Partial Fractions | |
| |
| |
| Graphs of Linear Inequalities | |
| |
| |
| Linear Programming | |
| |
| |
| |
| Conic Sections and Quadratic Systems | |
| |
| |
| The Circle and the Parabola | |
| |
| |
| The Ellipse | |
| |
| |
| The Hyperbola | |
| |
| |
| Solving Simultaneous Second-Degree Equations | |
| |
| |
| |
| Natural Number Functions and Probability | |
| |
| |
| The Binomial Theorem | |
| |
| |
| Sequences, Series, and Summation Notation | |
| |
| |
| Arithmetic Sequences | |
| |
| |
| Geometric Sequences | |
| |
| |
| Mathematical Induction | |
| |
| |
| Permutations and Combinations | |
| |
| |
| Probability | |
| |
| |
| Computation of Compound Probabilities | |
| |
| |
| Odds and Mathematical Expectation | |
| |
| |
| |
| A Proof of the Binomial Theorem | |
| |
| |
| |
| An Alternate Approach to Circles and Parabolas | |
| |
| |
| |
| Tables | |
| |
| |
| |
| Powers and Roots | |
| |
| |
| |
| Base-10 Logarithms | |
| |
| |
| |
| Base-e Logarithms | |
| |
| |
| |
| Answers to Selected Exercises | |
| |
| |
| Index | |