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Precalculus
ISBN: 9780321227621 | 032122762X
Edition: 3rdFormat: Hardcover
Publisher: Addison Wesley
Pub. Date: 1/1/2005
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Focusing on helping students to develop both the conceptual understanding and the analytical skills necessary to experience success in mathematics, we present each mathematical topic in this text using a carefully developed learning system to actively engage students in the learning process. We have tried to address the diverse needs of today's students through a more open design, updated figures and graphs, helpful features, careful explanations of topics, and a comprehensive package of supplements and study aids. Students will benefit from the text's student-oriented approach. We believe instructors will particularly welcome the new Annotated Instructor's Edition, which provides answers in the margin to almost all exercises, plus helpful Teaching Tips.
| R. Review of Basic Concepts | |
| Real Numbers and Their Properties | |
| Order and Absolute Value | |
| Polynomials | |
| Factoring Polynomials | |
| Rational Expressions | |
| Rational Exponents | |
| Radical Expressions | |
| Equations and Inequalities | |
| Linear Equations | |
| Applications and Modeling with Linear Equations | ... MORE|
| Complex Numbers | |
| Quadratic Equations | |
| Applications and Modeling with Quadratic Equations | |
| Other Types of Equations | |
| Inequalities | |
| Absolute Value Equations and Inequalities | |
| Graphs and Functions | |
| Graphs of Equations | |
| Functions | |
| Linear Functions | |
| Equations of Lines | |
| Curve Fitting | |
| Graphs of Basic Functions | |
| Graphing Techniques | |
| Function Operations and Composition | |
| Polynomial and Rational Functions | |
| Quadratic Functions and Models | |
| Synthetic Division | |
| Zeros of Polynomial Functions | |
| Polynomial Functions: Graphs, Applications, and Models | |
| Rational Functions: Graphs, Applications, and Models | |
| Variation | |
| Exponential and Logarithmic Functions | |
| Inverse Functions | |
| Exponential Functions | |
| Logarithmic Functions | |
| Evaluating Logarithms and the Change-of-Base Theorem | |
| Exponential and Logarithmic Equations | |
| Applications and Models of Exponential Growth and Decay | |
| Trigonometric Functions | |
| Angles | |
| Trigonometric Functions | |
| Evaluating Trigonometric Functions | |
| Solving Right Triangles | |
| The Circular Functions and Their Graphs | |
| Radian Measure | |
| The Unit Circle and Circular Functions | |
| Graphs of the Sine and Cosine Functions | |
| Graphs of the Other Circular Functions | |
| Harmonic Motion | |
| Trigonometric Identities and Equations | |
| Fundamental Identities | |
| Verifying Trigonometric Identities | |
| Sum and Difference Identities | |
| Double-Angle Identities and Half-Angle Identities | |
| Inverse Circular Functions | |
| Trigonometric Equations | |
| Equations Involving Inverse Trigonometric Functions | |
| Applications of Trigonometry | |
| The Law of Sines | |
| The Law of Cosines | |
| Vectors, Operations, and the Dot Product | |
| Applications of Vectors | |
| Trigonometric (Polar) Form of Complex Numbers | |
| Products and Quotients | |
| DeMoivre's Theorem | |
| Powers and Roots of Complex Numbers | |
| Polar Equations and Graphs | |
| Parametric Equations, Graphs, and Applications | |
| Systems and Matrices | |
| Systems of Linear Equations | |
| Matrix Solution of Linear Systems | |
| Determinant Solution of Linear Systems | |
| Partial Fractions | |
| Nonlinear Systems of Equations | |
| Systems of Inequalities and Linear Programming | |
| Properties of Matrices | |
| Matrix Inverses | |
| Analytic Geometry | |
| Parabolas | |
| Ellipses | |
| Hyperbolas | |
| Summary of the Conic Sections | |
| Further Topics in Algebra | |
| Sequences and Series | |
| Arithmetic Sequences and Series | |
| Geometric Sequences and Series | |
| The Binomial Theorem | |
| Mathematical Induction | |
| Counting Theory | |
| Basics of Probability | |
| Polar Form of Conic Sections | |
| Rotation of Axes | |
| Geometry Formulas | |
| Glossary | |
| Solutions to Selected Exercises | |
| Answers to Selected Exercises | |
| Index of Applications | |
| Index | |
| Table of Contents provided by Publisher. All Rights Reserved. |
