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Algebra and Trigonometry, 6/E Algebra & Trigonometry, 7/E

Michael Sullivan Michael Sullivan

ISBN: 0-13-091465-7 ISBN: 0-13-143073-4

Publisher: Prentice Hall Publisher: Prentice Hall

Copyright: 2002 Copyright: 2005

Table of Contents Table of Contents

(NOTE: Each chapter concludes with Chapter Review and Project at Motorola, except Chapter R.) (Note: Chapters 2-13 end with Chapter Review, Chapter Projects, and Cumulative Review.)

R. Review. R. Review.

R.1 Real Numbers R.1 Real Numbers

R.2 Algebra Review R.2 Algebra Review

R.3 Geometry Review R.3 Geometry Review

R.4 Integer Exponents

R.5 Polynomials R.4 Polynomials

R.6 Factoring Polynomials R.5 Factoring Polynomials

R.6 Polynomial Division; Synthetic Division

R.7 Rational Expressions R.7 Rational Expressions

R.8 Square Roots; Radicals

R.9 Rational Exponents R.8 nth Roots; Rational Exponents

1. Equations and Inequalities. 1. Equations and Inequalities.

1.1 Equations 1.1 Linear Equations

1.2 Setting Up Equations: Applications (see 1.7 below)

1.3 Quadratic Equations 1.2 Quadratic Equations

1.3 Quadratic Equations in the Complex Number System

1.4 Radical Equations; Equations Quadratic in Form 1.4 Radical Equations; Equations Quadratic in Form; Factorable Equations

1.5 Solving Inequalities 1.5 Solving Inequalities

1.6 Equations and Inequalities Involving Absolute Value 1.6 Equations and Inequalities Involving Absolute Value

(see 1.2 above) 1.7 Applications: Interest, Mixture, Uniform Motion, Constant Rate Jobs

2. Graphs. 2. Graphs.

2.1 Rectangular Coordinates 2.1 Rectangular Coordinates

2.2 Graphs of Equations 2.2 Graphs of Equations

(see in 2.4 below) 2.3 Circles

2.3 Lines 2.4 Lines

2.4 Parallel and Perpendicular Lines; Circles 2.5 Parallel and Perpendicular Lines

2.5 Scatter Diagrams; Linear Curve Fitting 2.6 Scatter Diagrams; Linear Curve Fitting

2.6 Variation 2.7 Variation

3. Functions and Their Graphs. 3. Functions and Their Graphs.

3.1 Functions 3.1 Functions

3.2 The Graph of a Function

3.2 Properties of Functions 3.3 Properties of Functions

3.3 Library of Functions; Piecewise-Defined Functions 3.4 Library of Functions; Piecewise-Defined Functions

3.4 Graphing Techniques: Transformations 3.5 Graphing Techniques: Transformations

3.5 Operations on Functions; Composite Functions

3.6 Mathematical Models: Constructing Functions 3.6 Mathematical Models: Constructing Functions

4. Polynomial and Rational Functions. 4. Polynomial and Rational Functions.

4.1 Quadratic Functions and Models 4.1 Quadratic Functions and Models

4.2 Polynomial Functions 4.2 Polynomial Functions

4.3 Rational Functions I 4.3 Rational Functions I

4.4 Rational Functions II: Analyzing Graphs 4.4 Rational Functions II: Analyzing Graphs

4.5 Polynomial and Rational Inequalities 4.5 Polynomial and Rational Inequalities

5. The Zeros of a Polynomial Function.

5.1 Synthetic Division

5.2 The Real Zeros of a Polynomial Function 4.6 The Real Zeros of a Polynomial Function

5.3 Complex Numbers; Quadratic Equations with a Negative Discriminant

5.4 Complex Zeros; Fundamental Theorem of Algebra 4.7 Complex Zeros; Fundamental Theorem of Algebra

6. Exponential and Logarithmic Functions. 5. Exponential and Logarithmic Functions.

5.1 Composite Functions

6.1 One-to-One Functions; Inverse Functions 5.2 Inverse Functions

6.2 Exponential Functions 5.3 Exponential Functions

6.3 Logarithmic Functions 5.4 Logarithmic Functions

6.4 Properties of Logarithms; Exponential and Logarithmic Models 5.5 Properties of Logarithms

6.5 Logarithmic and Exponential Equations 5.6 Logarithmic and Exponential Equations

6.6 Compound Interest 5.7 Compound Interest

6.7 Growth and Decay; Newton's Law; Logistic Models 5.8 Exponential Growth and Decay; Newton's Law; Logistic Models

6.8 Logarithmic Scales 5.9 Fitting Data to Exponential, Logarithmic, and Logistic Functions

7. Trigonometric Functions. 6. Trigonometric Functions.

7.1 Angles and Their Measure 6.1 Angles and Their Measure

7.2 Right Triangle Trigonometry 6.2 Right Triangle Trigonometry

7.3 Computing the Values of Trigonometric Functions of Given Angles 6.3 Computing the Values of Trigonometric Functions of Acute Angles

7.4 Trigonometric Functions of General Angles 6.4 Trigonometric Functions of General Angles

7.5 Properties of the Trigonometric Functions; Unit Circle Approach 6.5 Unit Circle Approach; Properties of the Trigonometric Functions

7.6 Graphs of the Sine and Cosine Functions 6.6 Graphs of the Sine and Cosine Functions

7.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions 6.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions

7.8 Phase Shift; Sinusoidal Curve Fitting 6.8 Phase Shift; Sinusoidal Curve Fitting

8. Analytic Trigonometry. 7. Analytic Trigonometry.

8.1 The Inverse Sine, Cosine, and Tangent Functions 7.1 The Inverse Sine, Cosine, and Tangent Functions

8.2 The Inverse Trigonometric Functions (Continued) 7.2 The Inverse Trigonometric Functions (continued)

8.3 Trigonometric Identities 7.3 Trigonometric Identities

8.4 Sum and Difference Formulas 7.4 Sum and Difference Formulas

8.5 Double-angle and Half-angle Formulas 7.5 Double-angle and Half-angle Formulas

8.6 Product-to-Sum and Sum-to-Product Formulas 7.6 Product-to-Sum and Sum-to-Product Formulas

8.7 Trigonometric Equations I 7.7 Trigonometric Equations I

8.8 Trigonometric Equations II 7.8 Trigonometric Equations II

9. Applications of Trigonometric Functions. 8. Applications of Trigonometric Functions.

9.1 Applications Involving Right Triangles 8.1 Applications Involving Right Triangles

9.2 The Law of Sines 8.2 Law of Sines

9.3 The Law of Cosines 8.3 Law of Cosines

9.4 The Area of a Triangle 8.4 Area of a Triangle

9.5 Simple Harmonic Motion; Damped Motion; Combining Waves 8.5 Simple Harmonic Motion; Damped Motion; Combining Waves

10. Polar Coordinates; Vectors. 9. Polar Coordinates; Vectors.

10.1 Polar Coordinates 9.1 Polar Coordinates

10.2 Polar Equations and Graphs 9.2 Polar Equations and Graphs

10.3 The Complex Plane; De Moivre's Theorem 9.3 The Complex Plane; De Moivre's Theorem

10.4 Vectors 9.4 Vectors

10.5 The Dot Product 9.5 Dot Product

11. Analytic Geometry. 10. Analytic Geometry.

11.1 Conics 10.1 Conics

11.2 The Parabola 10.2 The Parabola

11.3 The Ellipse 10.3 The Ellipse

11.4 The Hyperbola 10.4 The Hyperbola

11.5 Rotation of Axes; General Form of a Conic 10.5 Rotation of Axes; General Form of a Conic

11.6 Polar Equations of Conics 10.6 Polar Equations of Conics

11.7 Plane Curves and Parametric Equations 10.7 Plane Curves and Parametric Equations

12. Systems of Equations and Inequalities. 11. Systems of Equations and Inequalities.

12.1 Systems of Linear Equations: Two Equations Containing Two Variables 11.1 Systems of Linear Equations: Substitution and Elimination

12.2 Systems of Linear Equations: Three Equations Containing Three Variables

12.3 Systems of Linear Equations: Matrices 11.2 Systems of Linear Equations: Matrices

12.4 Systems of Linear Equations: Determinants 11.3 Systems of Linear Equations: Determinants

12.5 Matrix Algebra 11.4 Matrix Algebra

12.6 Partial Fraction Decomposition 11.5 Partial Fraction Decomposition

12.7 Systems of Nonlinear Equations 11.6 Systems of Nonlinear Equations

12.8 Systems of Inequalities 11.7 Systems of Inequalities

12.9 Linear Programming 11.8 Linear Programming

13. Sequences; Induction; The Binomial Theorem. 12. Sequences; Induction; The Binomial Theorem

13.1 Sequences 12.1 Sequences

13.2 Arithmetic Sequences 12.2 Arithmetic Sequences

13.3 Geometric Sequences; Geometric Series 12.3 Geometric Sequences; Geometric Series

13.4 Mathematical Induction 12.4 Mathematical Induction

13.5 The Binomial Theorem 12.5 The Binomial Theorem.

14. Counting and Probability 13. Counting and Probability.

14.1 Sets and Counting 13.1 Sets and Counting

14.2 Permutations and Combinations 13.2 Permutations and Combinations

14.3 Probability 13.3 Probability

Appendix: Graphing Utilities. APPENDIX GRAPHING UTILITIES.

1. The Viewing Rectangle 1. The Viewing Rectangle

2. Using a Graphing Utility to Graph Equations 2. Using a Graphing Utility to Graph Equations

3. Using a Graphing Utility to Locate Intercepts and Check for Symmetry 3. Using a Graphing Utility to Locate Intercepts and Check for Symmetry

4. Using a Graphing Utility to Solve Equations 4. Using a Graphing Utility to Solve Equations

5. Square Screens 5. Square Screens

6. Using a Graphing Utility to Graph Inequalities 6. Using a Graphing Utility to Graph Inequalities

7. Using a Graphing Utility to Solve Systems of Linear Equations 7. Using a Graphing Utility to Solve Systems of Linear Equations

8. Using a Graphing Utility to Graph a Polar Equation 8. Using a Graphing Utility to Graph a Polar Equation

9. Using a Graphing Utility to Graph Parametric Equations 9. Using a Graphing Utility to Graph Parametric Equations

Answers. Answers.

Index. Index

Algebra and Trigonometry, 6/E	Algebra & Trigonometry, 7/E
Michael Sullivan	Michael Sullivan
ISBN: 0-13-091465-7	ISBN: 0-13-143073-4
Publisher: Prentice Hall	Publisher: Prentice Hall
Copyright: 2002	Copyright: 2005

Table of Contents	Table of Contents
(NOTE: Each chapter concludes with Chapter Review and Project at Motorola, except Chapter R.)	(Note: Chapters 2-13 end with Chapter Review, Chapter Projects, and Cumulative Review.)

R. Review.	R. Review.
R.1 Real Numbers	R.1 Real Numbers
R.2 Algebra Review	R.2 Algebra Review
R.3 Geometry Review	R.3 Geometry Review
R.4 Integer Exponents
R.5 Polynomials	R.4 Polynomials
R.6 Factoring Polynomials	R.5 Factoring Polynomials
	R.6 Polynomial Division; Synthetic Division
R.7 Rational Expressions	R.7 Rational Expressions
R.8 Square Roots; Radicals
R.9 Rational Exponents	R.8 nth Roots; Rational Exponents

1. Equations and Inequalities.	1. Equations and Inequalities.
1.1 Equations	1.1 Linear Equations
1.2 Setting Up Equations: Applications	(see 1.7 below)
1.3 Quadratic Equations	1.2 Quadratic Equations
	1.3 Quadratic Equations in the Complex Number System
1.4 Radical Equations; Equations Quadratic in Form	1.4 Radical Equations; Equations Quadratic in Form; Factorable Equations
1.5 Solving Inequalities	1.5 Solving Inequalities
1.6 Equations and Inequalities Involving Absolute Value	1.6 Equations and Inequalities Involving Absolute Value
(see 1.2 above)	1.7 Applications: Interest, Mixture, Uniform Motion, Constant Rate Jobs

2. Graphs.	2. Graphs.
2.1 Rectangular Coordinates	2.1 Rectangular Coordinates
2.2 Graphs of Equations	2.2 Graphs of Equations
(see in 2.4 below)	2.3 Circles
2.3 Lines	2.4 Lines
2.4 Parallel and Perpendicular Lines; Circles	2.5 Parallel and Perpendicular Lines
2.5 Scatter Diagrams; Linear Curve Fitting	2.6 Scatter Diagrams; Linear Curve Fitting
2.6 Variation	2.7 Variation

3. Functions and Their Graphs.	3. Functions and Their Graphs.
3.1 Functions	3.1 Functions
	3.2 The Graph of a Function
3.2 Properties of Functions	3.3 Properties of Functions
3.3 Library of Functions; Piecewise-Defined Functions	3.4 Library of Functions; Piecewise-Defined Functions
3.4 Graphing Techniques: Transformations	3.5 Graphing Techniques: Transformations
3.5 Operations on Functions; Composite Functions
3.6 Mathematical Models: Constructing Functions	3.6 Mathematical Models: Constructing Functions

4. Polynomial and Rational Functions.	4. Polynomial and Rational Functions.
4.1 Quadratic Functions and Models	4.1 Quadratic Functions and Models
4.2 Polynomial Functions	4.2 Polynomial Functions
4.3 Rational Functions I	4.3 Rational Functions I
4.4 Rational Functions II: Analyzing Graphs	4.4 Rational Functions II: Analyzing Graphs
4.5 Polynomial and Rational Inequalities	4.5 Polynomial and Rational Inequalities

5. The Zeros of a Polynomial Function.
5.1 Synthetic Division
5.2 The Real Zeros of a Polynomial Function	4.6 The Real Zeros of a Polynomial Function
5.3 Complex Numbers; Quadratic Equations with a Negative Discriminant
5.4 Complex Zeros; Fundamental Theorem of Algebra	4.7 Complex Zeros; Fundamental Theorem of Algebra

6. Exponential and Logarithmic Functions.	5. Exponential and Logarithmic Functions.
	5.1 Composite Functions
6.1 One-to-One Functions; Inverse Functions	5.2 Inverse Functions
6.2 Exponential Functions	5.3 Exponential Functions
6.3 Logarithmic Functions	5.4 Logarithmic Functions
6.4 Properties of Logarithms; Exponential and Logarithmic Models	5.5 Properties of Logarithms
6.5 Logarithmic and Exponential Equations	5.6 Logarithmic and Exponential Equations
6.6 Compound Interest	5.7 Compound Interest
6.7 Growth and Decay; Newton's Law; Logistic Models	5.8 Exponential Growth and Decay; Newton's Law; Logistic Models
6.8 Logarithmic Scales	5.9 Fitting Data to Exponential, Logarithmic, and Logistic Functions

7. Trigonometric Functions.	6. Trigonometric Functions.
7.1 Angles and Their Measure	6.1 Angles and Their Measure
7.2 Right Triangle Trigonometry	6.2 Right Triangle Trigonometry
7.3 Computing the Values of Trigonometric Functions of Given Angles	6.3 Computing the Values of Trigonometric Functions of Acute Angles
7.4 Trigonometric Functions of General Angles	6.4 Trigonometric Functions of General Angles
7.5 Properties of the Trigonometric Functions; Unit Circle Approach	6.5 Unit Circle Approach; Properties of the Trigonometric Functions
7.6 Graphs of the Sine and Cosine Functions	6.6 Graphs of the Sine and Cosine Functions
7.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions	6.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
7.8 Phase Shift; Sinusoidal Curve Fitting	6.8 Phase Shift; Sinusoidal Curve Fitting

8. Analytic Trigonometry.	7. Analytic Trigonometry.
8.1 The Inverse Sine, Cosine, and Tangent Functions	7.1 The Inverse Sine, Cosine, and Tangent Functions
8.2 The Inverse Trigonometric Functions (Continued)	7.2 The Inverse Trigonometric Functions (continued)
8.3 Trigonometric Identities	7.3 Trigonometric Identities
8.4 Sum and Difference Formulas	7.4 Sum and Difference Formulas
8.5 Double-angle and Half-angle Formulas	7.5 Double-angle and Half-angle Formulas
8.6 Product-to-Sum and Sum-to-Product Formulas	7.6 Product-to-Sum and Sum-to-Product Formulas
8.7 Trigonometric Equations I	7.7 Trigonometric Equations I
8.8 Trigonometric Equations II	7.8 Trigonometric Equations II

9. Applications of Trigonometric Functions.	8. Applications of Trigonometric Functions.
9.1 Applications Involving Right Triangles	8.1 Applications Involving Right Triangles
9.2 The Law of Sines	8.2 Law of Sines
9.3 The Law of Cosines	8.3 Law of Cosines
9.4 The Area of a Triangle	8.4 Area of a Triangle
9.5 Simple Harmonic Motion; Damped Motion; Combining Waves	8.5 Simple Harmonic Motion; Damped Motion; Combining Waves

10. Polar Coordinates; Vectors.	9. Polar Coordinates; Vectors.
10.1 Polar Coordinates	9.1 Polar Coordinates
10.2 Polar Equations and Graphs	9.2 Polar Equations and Graphs
10.3 The Complex Plane; De Moivre's Theorem	9.3 The Complex Plane; De Moivre's Theorem
10.4 Vectors	9.4 Vectors
10.5 The Dot Product	9.5 Dot Product

11. Analytic Geometry.	10. Analytic Geometry.
11.1 Conics	10.1 Conics
11.2 The Parabola	10.2 The Parabola
11.3 The Ellipse	10.3 The Ellipse
11.4 The Hyperbola	10.4 The Hyperbola
11.5 Rotation of Axes; General Form of a Conic	10.5 Rotation of Axes; General Form of a Conic
11.6 Polar Equations of Conics	10.6 Polar Equations of Conics
11.7 Plane Curves and Parametric Equations	10.7 Plane Curves and Parametric Equations

12. Systems of Equations and Inequalities.	11. Systems of Equations and Inequalities.
12.1 Systems of Linear Equations: Two Equations Containing Two Variables	11.1 Systems of Linear Equations: Substitution and Elimination
12.2 Systems of Linear Equations: Three Equations Containing Three Variables
12.3 Systems of Linear Equations: Matrices	11.2 Systems of Linear Equations: Matrices
12.4 Systems of Linear Equations: Determinants	11.3 Systems of Linear Equations: Determinants
12.5 Matrix Algebra	11.4 Matrix Algebra
12.6 Partial Fraction Decomposition	11.5 Partial Fraction Decomposition
12.7 Systems of Nonlinear Equations	11.6 Systems of Nonlinear Equations
12.8 Systems of Inequalities	11.7 Systems of Inequalities
12.9 Linear Programming	11.8 Linear Programming

13. Sequences; Induction; The Binomial Theorem.	12. Sequences; Induction; The Binomial Theorem
13.1 Sequences	12.1 Sequences
13.2 Arithmetic Sequences	12.2 Arithmetic Sequences
13.3 Geometric Sequences; Geometric Series	12.3 Geometric Sequences; Geometric Series
13.4 Mathematical Induction	12.4 Mathematical Induction
13.5 The Binomial Theorem	12.5 The Binomial Theorem.

14. Counting and Probability	13. Counting and Probability.
14.1 Sets and Counting	13.1 Sets and Counting
14.2 Permutations and Combinations	13.2 Permutations and Combinations
14.3 Probability	13.3 Probability

Appendix: Graphing Utilities.	APPENDIX GRAPHING UTILITIES.
1. The Viewing Rectangle	1. The Viewing Rectangle
2. Using a Graphing Utility to Graph Equations	2. Using a Graphing Utility to Graph Equations
3. Using a Graphing Utility to Locate Intercepts and Check for Symmetry	3. Using a Graphing Utility to Locate Intercepts and Check for Symmetry
4. Using a Graphing Utility to Solve Equations	4. Using a Graphing Utility to Solve Equations
5. Square Screens	5. Square Screens
6. Using a Graphing Utility to Graph Inequalities	6. Using a Graphing Utility to Graph Inequalities
7. Using a Graphing Utility to Solve Systems of Linear Equations	7. Using a Graphing Utility to Solve Systems of Linear Equations
8. Using a Graphing Utility to Graph a Polar Equation	8. Using a Graphing Utility to Graph a Polar Equation
9. Using a Graphing Utility to Graph Parametric Equations	9. Using a Graphing Utility to Graph Parametric Equations


Answers.	Answers.
Index.	Index