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by Raymond A. Barnett, Michael R. Ziegler and Karl Byleen

Edition: 7TH 01Copyright: 2001

Publisher: McGraw-Hill Publishing Company

Published: 2001

International: No

Raymond A. Barnett, Michael R. Ziegler and Karl Byleen

Edition: 7TH 01
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This text takes a right angle approach to trigonometry and is designed for use in a one or two term course in college algebra with trigonometry or precalculus. College Algebra with Trigonometry 6/E has been written to maximize student comprehension and great care has been taken to produce a text that is mathematically correct and accessible to students. Emphasis is on computational skills, ideas, and problem solving rather than mathematical theory. Most derivations and proofs are omitted except where their inclusion adds significant insight into a particular concept. General concepts and results are usually presented only after particular cases have been discussed. The single most crucial topic is function. The function concept is introduced and developed from several points of view and is substantially motivated through many illustrations and examples. One of the primary objectives of this book is to give the student substantial experience in modeling and solving real world problems. Enough applications are included to convince even the most skeptical student that mathematics really is useful.

**Barnett, Raymond A. : Merritt College **

**Ziegler, Michael R. : Marquette University **

**Byleen, Karl E. : Marquette University**

1 Basic Algebraic Equations

1-1 Algebra & Real Numbers

1-2 Polynomials: Basic Operations

1-3 Polynomials: Factoring

1-4 Rational Expressions: Basic Operations

1-5 Integer Exponents

1-6 Rational Exponents

1-7 Radicals

Chapter 1 Review

2 Equations and Inequalities

2-1 Linear Equations & Applications

2-2 Systems of Linear Equations & Applications

2-3 Linear Inequalities

2-4 Absolute Value in Equations and Inequalities

2-5 Complex Numbers

2-6 Quadratic Equations & Applications

2-7 Equations Reducible to Quadratic Form

2-8 Polynomial & Rational Inequalities

Chapter 2 Review

1&2 Cumulative Review Exercises

3 Graphs and Functions

3-1 Basic Tools: Circles

3-2 Straight Lines

3-3 Functions

3-4 Graphing Functions

3-5 Operations on Functions: Composition

3-6 Inverse Functions

Chapter 3 Review

4 Polynomial and Rational Functions

4-1 Graphing Polynomials

4-2 Zeros of Polynomials

4-3 Graphing Rational Functions

4-4 Partial Functions

Chapter 4 Review

5 Exponential and Logarithmic Functions

5-1 Exponential Functions

5-2 The Exponential Function With Base e

5-3 Logarithmic Functions

5-4 Common and Natural Logarithmic Functions

5-5 Exponential & Logarithmic Equations

Chapter 5 Review

Cumulative Review Exercise (chapter 3-5)

6 Trigonometric Functions

6-1 Angles and Their Measure

6-2 Trigonometric Functions--Acute Angle Domains

6-3 Trigonometric Functions--General Angle and Real Number

6-4 Exact Values for Special Angles and Real Numbers

6-5 Circular Functions

6-6 Graphing Basic Trigonometric Functions

6-7 Graphing y= k + A sin(Bx+C) and y= k + A cos(Bx + C)

6-8 Graphing More General Tangent, Cotangent, Secant and Cosecant Functions

6-9 Inverse Trigonometric Functions

Chapter 6 Review

7 Trigonometric Identities and Conditional Equations

7-1 Basic Identities and Their Use

7-2 Sum, Difference, and Cofunction Identities

7-3 Double-Angle and Half-Angle Identities

7-4 Product-Sum and Sum-Product Identities

7-5 Trigonometric Equations

Chapter 7 Review

8 Additional Topics in Trigonometry

8-1 Law of Sines

8-2 Law of Cosines

8-3 Geometric Vectors

8-4 Algebraic Vectors

8-5 Polar Coordinates and Graphs

8-6 Complex Numbers in Rectangular and Polar Forms

8-7 De Moivre's Theorem

Chapter 8 Review

Cumulative Review Exercises (Chapters 6-8)

9 Systems of Equations and Inequalities

9-1 Systems of Linear Equations and Augmented Matrices

9-2 Gauss-Jordan Elimination

9-3 Systems Involving Second-Degree Equations

9-4 Systems of Linear Inequalities in Two Variables

9-5 Linear Programming

Chapter 9 Review

10 Matrices and Determinants

10-1 Matrices: Basic Operations

10-2 Inverse of a Square Mix

10-3 Matrix Equations and Systems of Linear Equations

10-4 Determinants

10-5 Properties of Determinants

10-6 Cramer's Rule

Chapter 10 Review

Cumulative Review Exercise (Chapters 9 and 10)

11 Sequences and Series

11-1 Sequences and Series

11-2 Mathematical Induction

11-3 Arithmetic & Geometric Sequences

11-4 Binomial Formula

11-5 Multiplication Principles, Permutations, and Combinations

Chapter 11 Review

12 Additional Topics in Analytic Geometry

12-1 Conic Sections: Parabola

12-2 Ellipse

12-3 Hyperbola

12-4 Translation of Axes

12-5 Parametric Equations

Chapter 12 Review

Appendix A: Significant Digits

Appendix B: Geometric Formulas

Summary

This text takes a right angle approach to trigonometry and is designed for use in a one or two term course in college algebra with trigonometry or precalculus. College Algebra with Trigonometry 6/E has been written to maximize student comprehension and great care has been taken to produce a text that is mathematically correct and accessible to students. Emphasis is on computational skills, ideas, and problem solving rather than mathematical theory. Most derivations and proofs are omitted except where their inclusion adds significant insight into a particular concept. General concepts and results are usually presented only after particular cases have been discussed. The single most crucial topic is function. The function concept is introduced and developed from several points of view and is substantially motivated through many illustrations and examples. One of the primary objectives of this book is to give the student substantial experience in modeling and solving real world problems. Enough applications are included to convince even the most skeptical student that mathematics really is useful.

Author Bio

**Barnett, Raymond A. : Merritt College **

**Ziegler, Michael R. : Marquette University **

**Byleen, Karl E. : Marquette University**

Table of Contents

1 Basic Algebraic Equations

1-1 Algebra & Real Numbers

1-2 Polynomials: Basic Operations

1-3 Polynomials: Factoring

1-4 Rational Expressions: Basic Operations

1-5 Integer Exponents

1-6 Rational Exponents

1-7 Radicals

Chapter 1 Review

2 Equations and Inequalities

2-1 Linear Equations & Applications

2-2 Systems of Linear Equations & Applications

2-3 Linear Inequalities

2-4 Absolute Value in Equations and Inequalities

2-5 Complex Numbers

2-6 Quadratic Equations & Applications

2-7 Equations Reducible to Quadratic Form

2-8 Polynomial & Rational Inequalities

Chapter 2 Review

1&2 Cumulative Review Exercises

3 Graphs and Functions

3-1 Basic Tools: Circles

3-2 Straight Lines

3-3 Functions

3-4 Graphing Functions

3-5 Operations on Functions: Composition

3-6 Inverse Functions

Chapter 3 Review

4 Polynomial and Rational Functions

4-1 Graphing Polynomials

4-2 Zeros of Polynomials

4-3 Graphing Rational Functions

4-4 Partial Functions

Chapter 4 Review

5 Exponential and Logarithmic Functions

5-1 Exponential Functions

5-2 The Exponential Function With Base e

5-3 Logarithmic Functions

5-4 Common and Natural Logarithmic Functions

5-5 Exponential & Logarithmic Equations

Chapter 5 Review

Cumulative Review Exercise (chapter 3-5)

6 Trigonometric Functions

6-1 Angles and Their Measure

6-2 Trigonometric Functions--Acute Angle Domains

6-3 Trigonometric Functions--General Angle and Real Number

6-4 Exact Values for Special Angles and Real Numbers

6-5 Circular Functions

6-6 Graphing Basic Trigonometric Functions

6-7 Graphing y= k + A sin(Bx+C) and y= k + A cos(Bx + C)

6-8 Graphing More General Tangent, Cotangent, Secant and Cosecant Functions

6-9 Inverse Trigonometric Functions

Chapter 6 Review

7 Trigonometric Identities and Conditional Equations

7-1 Basic Identities and Their Use

7-2 Sum, Difference, and Cofunction Identities

7-3 Double-Angle and Half-Angle Identities

7-4 Product-Sum and Sum-Product Identities

7-5 Trigonometric Equations

Chapter 7 Review

8 Additional Topics in Trigonometry

8-1 Law of Sines

8-2 Law of Cosines

8-3 Geometric Vectors

8-4 Algebraic Vectors

8-5 Polar Coordinates and Graphs

8-6 Complex Numbers in Rectangular and Polar Forms

8-7 De Moivre's Theorem

Chapter 8 Review

Cumulative Review Exercises (Chapters 6-8)

9 Systems of Equations and Inequalities

9-1 Systems of Linear Equations and Augmented Matrices

9-2 Gauss-Jordan Elimination

9-3 Systems Involving Second-Degree Equations

9-4 Systems of Linear Inequalities in Two Variables

9-5 Linear Programming

Chapter 9 Review

10 Matrices and Determinants

10-1 Matrices: Basic Operations

10-2 Inverse of a Square Mix

10-3 Matrix Equations and Systems of Linear Equations

10-4 Determinants

10-5 Properties of Determinants

10-6 Cramer's Rule

Chapter 10 Review

Cumulative Review Exercise (Chapters 9 and 10)

11 Sequences and Series

11-1 Sequences and Series

11-2 Mathematical Induction

11-3 Arithmetic & Geometric Sequences

11-4 Binomial Formula

11-5 Multiplication Principles, Permutations, and Combinations

Chapter 11 Review

12 Additional Topics in Analytic Geometry

12-1 Conic Sections: Parabola

12-2 Ellipse

12-3 Hyperbola

12-4 Translation of Axes

12-5 Parametric Equations

Chapter 12 Review

Appendix A: Significant Digits

Appendix B: Geometric Formulas

Publisher Info

Publisher: McGraw-Hill Publishing Company

Published: 2001

International: No

Published: 2001

International: No

**Barnett, Raymond A. : Merritt College **

**Ziegler, Michael R. : Marquette University **

**Byleen, Karl E. : Marquette University**

1 Basic Algebraic Equations

1-1 Algebra & Real Numbers

1-2 Polynomials: Basic Operations

1-3 Polynomials: Factoring

1-4 Rational Expressions: Basic Operations

1-5 Integer Exponents

1-6 Rational Exponents

1-7 Radicals

Chapter 1 Review

2 Equations and Inequalities

2-1 Linear Equations & Applications

2-2 Systems of Linear Equations & Applications

2-3 Linear Inequalities

2-4 Absolute Value in Equations and Inequalities

2-5 Complex Numbers

2-6 Quadratic Equations & Applications

2-7 Equations Reducible to Quadratic Form

2-8 Polynomial & Rational Inequalities

Chapter 2 Review

1&2 Cumulative Review Exercises

3 Graphs and Functions

3-1 Basic Tools: Circles

3-2 Straight Lines

3-3 Functions

3-4 Graphing Functions

3-5 Operations on Functions: Composition

3-6 Inverse Functions

Chapter 3 Review

4 Polynomial and Rational Functions

4-1 Graphing Polynomials

4-2 Zeros of Polynomials

4-3 Graphing Rational Functions

4-4 Partial Functions

Chapter 4 Review

5 Exponential and Logarithmic Functions

5-1 Exponential Functions

5-2 The Exponential Function With Base e

5-3 Logarithmic Functions

5-4 Common and Natural Logarithmic Functions

5-5 Exponential & Logarithmic Equations

Chapter 5 Review

Cumulative Review Exercise (chapter 3-5)

6 Trigonometric Functions

6-1 Angles and Their Measure

6-2 Trigonometric Functions--Acute Angle Domains

6-3 Trigonometric Functions--General Angle and Real Number

6-4 Exact Values for Special Angles and Real Numbers

6-5 Circular Functions

6-6 Graphing Basic Trigonometric Functions

6-7 Graphing y= k + A sin(Bx+C) and y= k + A cos(Bx + C)

6-8 Graphing More General Tangent, Cotangent, Secant and Cosecant Functions

6-9 Inverse Trigonometric Functions

Chapter 6 Review

7 Trigonometric Identities and Conditional Equations

7-1 Basic Identities and Their Use

7-2 Sum, Difference, and Cofunction Identities

7-3 Double-Angle and Half-Angle Identities

7-4 Product-Sum and Sum-Product Identities

7-5 Trigonometric Equations

Chapter 7 Review

8 Additional Topics in Trigonometry

8-1 Law of Sines

8-2 Law of Cosines

8-3 Geometric Vectors

8-4 Algebraic Vectors

8-5 Polar Coordinates and Graphs

8-6 Complex Numbers in Rectangular and Polar Forms

8-7 De Moivre's Theorem

Chapter 8 Review

Cumulative Review Exercises (Chapters 6-8)

9 Systems of Equations and Inequalities

9-1 Systems of Linear Equations and Augmented Matrices

9-2 Gauss-Jordan Elimination

9-3 Systems Involving Second-Degree Equations

9-4 Systems of Linear Inequalities in Two Variables

9-5 Linear Programming

Chapter 9 Review

10 Matrices and Determinants

10-1 Matrices: Basic Operations

10-2 Inverse of a Square Mix

10-3 Matrix Equations and Systems of Linear Equations

10-4 Determinants

10-5 Properties of Determinants

10-6 Cramer's Rule

Chapter 10 Review

Cumulative Review Exercise (Chapters 9 and 10)

11 Sequences and Series

11-1 Sequences and Series

11-2 Mathematical Induction

11-3 Arithmetic & Geometric Sequences

11-4 Binomial Formula

11-5 Multiplication Principles, Permutations, and Combinations

Chapter 11 Review

12 Additional Topics in Analytic Geometry

12-1 Conic Sections: Parabola

12-2 Ellipse

12-3 Hyperbola

12-4 Translation of Axes

12-5 Parametric Equations

Chapter 12 Review

Appendix A: Significant Digits

Appendix B: Geometric Formulas