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Pre-calculus for K-12 Textbooks

by Earl Swokowski and Jeffery Cole

Cover type: HardbackEdition: 9TH 02

Copyright: 2002

Publisher: Brooks/Cole Publishing Co.

Published: 2002

International: No

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The Ninth Edition of Swokowski Cole's highly respected precalculus text retains the elements that have made it so popular with instructors and students alike; the time-tested exercise sets feature a variety of applications; its exposition is clear; its uncluttered layout is appealing; and the difficulty level of problems is appropriate and consistent. With these elements the authors succeed in preparing students for calculus.

PRECALCULUS: FUNCTIONS AND GRAPHS, 9/e is mathematically sound and has excellent problem sets. In this edition, all of the chapters now include numerous technology inserts and examples with specific keystrokes for the TI-83 Plus and the TI-86, ideal for students who are working with a graphing calculator for the first time. The new design of the text makes the technology inserts easily identifiable, allowing professors to skip them if desired.

**Swokowski, Earl : late of Marquette University Cole, Jeffery : Anoka-Ramsey Community College**

**1. TOPICS FROM ALGEBRA.** Real Numbers. Exponents and Radicals. Algebraic Expressions. Equations. Complex Numbers. Inequalities. Rectangular Coordinate Systems. Lines. Chapter 1 Review Exercises. Chapter 1 Discussion Exercises.

**2. FUNCTIONS.** Definition of Function. Graphs of Functions. Quadratic Functions. Operations on Functions. Inverse Functions. Chapter 2 Review Exercises. Chapter 2 Discussion Exercises.

**3. POLYNOMIAL AND RATIONAL FUNCTIONS**. Polynomial Functions of Degree Greater than 2. Properties of Division. Zeros of Polynomials. Complex and Rational Zeros of Polynomials. Rational Functions. Chapter 3 Review Exercises. Chapter 3 Discussion Exercises.

**4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.** Exponential Functions. The Natural Exponential Function. Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations. Chapter 4 Review Exercises. Chapter 4 Discussion Exercises.

**5. THE TRIGONOMETRIC FUNCTIONS.** Angles. Trigonometric Functions of Angles. Trigonometric Functions of Real Numbers. Values of the Trigonometric Functions. Trigonometric Graphs. Additional Trigonometric Graphs. Applied Problems. Chapter 5 Review Exercises. Chapter 5 Discussion Exercises.

**6. ANALYTIC TRIGONOMETRY.** Verifying Trigonometric Identities. Trigonometric Equations. The Addition and Subtraction Formulas. Multiple-Angle Formulas. Product-to-Sum and Sum-to-Product Formulas. The Inverse Trigonometric Functions. Chapter 6 Review Exercises. Chapter 6 Discussion Exercises.

**7. APPLICATIONS OF TRIGONOMETRY.** The Law of Sines. The Law of Cosines. Trigonometric Form for Complex Numbers. DeMoivre's Theorem and nth Roots of Complex Numbers. Vectors. The Dot Product. Chapter 7 Review Exercises. Chapter 7 Discussion Exercises.

**8. SYSTEMS OF EQUATIONS AND INEQUALITIES.** Systems of Equations. Systems of Linear Equations in Two Variables. Systems of Linear Equations in More than Two Variables. Partial Fractions. Systems of Inequalities. Linear Programming. The Algebra of Matrices. The Inverse of a Matrix. Determinants. Properties of Determinants. Chapter 8 Review Exercises. Chapter 8 Discussion Exercises.

**9. SEQUENCES, SERIES, AND PROBABILITY.** Infinite Sequences and Summation Notation. Arithmetic Sequences. Geometric Sequences. Mathematical Induction. The Binomial Theorem. Permutations. Distinguishable Permutations and Combinations. Probability. Chapter 9 Review Exercises. Chapter 9 Discussion Exercises.

**10. TOPICS FROM ANALYTIC GEOMETRY.** Parabolas. Ellipses. Hyperbolas. Plane Curves and Parametric Equations. Polar Coordinates. Polar Equations of Conics. Chapter 10 Review Exercises. Chapter 10 Discussion Exercises.

Appendix I: Using a TI-82/83 Graphing Calculator.

Appendix II: Common Graphs and Their Equations.

Appendix III: A Summary of Graph Transformations.

Appendix IV: Graphs of the Trigometric Functions and Their Inverses.

Answers to Selected Exercises.

Index of Applications.

Index.

Summary

The Ninth Edition of Swokowski Cole's highly respected precalculus text retains the elements that have made it so popular with instructors and students alike; the time-tested exercise sets feature a variety of applications; its exposition is clear; its uncluttered layout is appealing; and the difficulty level of problems is appropriate and consistent. With these elements the authors succeed in preparing students for calculus.

PRECALCULUS: FUNCTIONS AND GRAPHS, 9/e is mathematically sound and has excellent problem sets. In this edition, all of the chapters now include numerous technology inserts and examples with specific keystrokes for the TI-83 Plus and the TI-86, ideal for students who are working with a graphing calculator for the first time. The new design of the text makes the technology inserts easily identifiable, allowing professors to skip them if desired.

Author Bio

**Swokowski, Earl : late of Marquette University Cole, Jeffery : Anoka-Ramsey Community College**

Table of Contents

**1. TOPICS FROM ALGEBRA.** Real Numbers. Exponents and Radicals. Algebraic Expressions. Equations. Complex Numbers. Inequalities. Rectangular Coordinate Systems. Lines. Chapter 1 Review Exercises. Chapter 1 Discussion Exercises.

**2. FUNCTIONS.** Definition of Function. Graphs of Functions. Quadratic Functions. Operations on Functions. Inverse Functions. Chapter 2 Review Exercises. Chapter 2 Discussion Exercises.

**3. POLYNOMIAL AND RATIONAL FUNCTIONS**. Polynomial Functions of Degree Greater than 2. Properties of Division. Zeros of Polynomials. Complex and Rational Zeros of Polynomials. Rational Functions. Chapter 3 Review Exercises. Chapter 3 Discussion Exercises.

**4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.** Exponential Functions. The Natural Exponential Function. Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations. Chapter 4 Review Exercises. Chapter 4 Discussion Exercises.

**5. THE TRIGONOMETRIC FUNCTIONS.** Angles. Trigonometric Functions of Angles. Trigonometric Functions of Real Numbers. Values of the Trigonometric Functions. Trigonometric Graphs. Additional Trigonometric Graphs. Applied Problems. Chapter 5 Review Exercises. Chapter 5 Discussion Exercises.

**6. ANALYTIC TRIGONOMETRY.** Verifying Trigonometric Identities. Trigonometric Equations. The Addition and Subtraction Formulas. Multiple-Angle Formulas. Product-to-Sum and Sum-to-Product Formulas. The Inverse Trigonometric Functions. Chapter 6 Review Exercises. Chapter 6 Discussion Exercises.

**7. APPLICATIONS OF TRIGONOMETRY.** The Law of Sines. The Law of Cosines. Trigonometric Form for Complex Numbers. DeMoivre's Theorem and nth Roots of Complex Numbers. Vectors. The Dot Product. Chapter 7 Review Exercises. Chapter 7 Discussion Exercises.

**8. SYSTEMS OF EQUATIONS AND INEQUALITIES.** Systems of Equations. Systems of Linear Equations in Two Variables. Systems of Linear Equations in More than Two Variables. Partial Fractions. Systems of Inequalities. Linear Programming. The Algebra of Matrices. The Inverse of a Matrix. Determinants. Properties of Determinants. Chapter 8 Review Exercises. Chapter 8 Discussion Exercises.

**9. SEQUENCES, SERIES, AND PROBABILITY.** Infinite Sequences and Summation Notation. Arithmetic Sequences. Geometric Sequences. Mathematical Induction. The Binomial Theorem. Permutations. Distinguishable Permutations and Combinations. Probability. Chapter 9 Review Exercises. Chapter 9 Discussion Exercises.

**10. TOPICS FROM ANALYTIC GEOMETRY.** Parabolas. Ellipses. Hyperbolas. Plane Curves and Parametric Equations. Polar Coordinates. Polar Equations of Conics. Chapter 10 Review Exercises. Chapter 10 Discussion Exercises.

Appendix I: Using a TI-82/83 Graphing Calculator.

Appendix II: Common Graphs and Their Equations.

Appendix III: A Summary of Graph Transformations.

Appendix IV: Graphs of the Trigometric Functions and Their Inverses.

Answers to Selected Exercises.

Index of Applications.

Index.

Publisher Info

Publisher: Brooks/Cole Publishing Co.

Published: 2002

International: No

Published: 2002

International: No

PRECALCULUS: FUNCTIONS AND GRAPHS, 9/e is mathematically sound and has excellent problem sets. In this edition, all of the chapters now include numerous technology inserts and examples with specific keystrokes for the TI-83 Plus and the TI-86, ideal for students who are working with a graphing calculator for the first time. The new design of the text makes the technology inserts easily identifiable, allowing professors to skip them if desired.

**Swokowski, Earl : late of Marquette University Cole, Jeffery : Anoka-Ramsey Community College**

**1. TOPICS FROM ALGEBRA.** Real Numbers. Exponents and Radicals. Algebraic Expressions. Equations. Complex Numbers. Inequalities. Rectangular Coordinate Systems. Lines. Chapter 1 Review Exercises. Chapter 1 Discussion Exercises.

**2. FUNCTIONS.** Definition of Function. Graphs of Functions. Quadratic Functions. Operations on Functions. Inverse Functions. Chapter 2 Review Exercises. Chapter 2 Discussion Exercises.

**3. POLYNOMIAL AND RATIONAL FUNCTIONS**. Polynomial Functions of Degree Greater than 2. Properties of Division. Zeros of Polynomials. Complex and Rational Zeros of Polynomials. Rational Functions. Chapter 3 Review Exercises. Chapter 3 Discussion Exercises.

**4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.** Exponential Functions. The Natural Exponential Function. Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations. Chapter 4 Review Exercises. Chapter 4 Discussion Exercises.

**5. THE TRIGONOMETRIC FUNCTIONS.** Angles. Trigonometric Functions of Angles. Trigonometric Functions of Real Numbers. Values of the Trigonometric Functions. Trigonometric Graphs. Additional Trigonometric Graphs. Applied Problems. Chapter 5 Review Exercises. Chapter 5 Discussion Exercises.

**6. ANALYTIC TRIGONOMETRY.** Verifying Trigonometric Identities. Trigonometric Equations. The Addition and Subtraction Formulas. Multiple-Angle Formulas. Product-to-Sum and Sum-to-Product Formulas. The Inverse Trigonometric Functions. Chapter 6 Review Exercises. Chapter 6 Discussion Exercises.

**7. APPLICATIONS OF TRIGONOMETRY.** The Law of Sines. The Law of Cosines. Trigonometric Form for Complex Numbers. DeMoivre's Theorem and nth Roots of Complex Numbers. Vectors. The Dot Product. Chapter 7 Review Exercises. Chapter 7 Discussion Exercises.

**8. SYSTEMS OF EQUATIONS AND INEQUALITIES.** Systems of Equations. Systems of Linear Equations in Two Variables. Systems of Linear Equations in More than Two Variables. Partial Fractions. Systems of Inequalities. Linear Programming. The Algebra of Matrices. The Inverse of a Matrix. Determinants. Properties of Determinants. Chapter 8 Review Exercises. Chapter 8 Discussion Exercises.

**9. SEQUENCES, SERIES, AND PROBABILITY.** Infinite Sequences and Summation Notation. Arithmetic Sequences. Geometric Sequences. Mathematical Induction. The Binomial Theorem. Permutations. Distinguishable Permutations and Combinations. Probability. Chapter 9 Review Exercises. Chapter 9 Discussion Exercises.

**10. TOPICS FROM ANALYTIC GEOMETRY.** Parabolas. Ellipses. Hyperbolas. Plane Curves and Parametric Equations. Polar Coordinates. Polar Equations of Conics. Chapter 10 Review Exercises. Chapter 10 Discussion Exercises.

Appendix I: Using a TI-82/83 Graphing Calculator.

Appendix II: Common Graphs and Their Equations.

Appendix III: A Summary of Graph Transformations.

Appendix IV: Graphs of the Trigometric Functions and Their Inverses.

Answers to Selected Exercises.

Index of Applications.

Index.