College Algebra /

By:

Sullivan Sullivan

Language: Inglés Series: SeriePublication details: Pearson EUA 2006Edition: 4Description: 725 22cm de ancho X 25cm de largoISBN:

0131491164

LOC classification:

Contents:

Contents Preface to the Instructor xi List of Applications xvii Photo Credits xxi To the Student xxiv Chapter R Review R.1 Real Numbers 2 R.2 Algebra Review 16 R.3 Geometry Review 29 R.4 Polynomials 35 R.5 Factoring Polynomials 45 R.6 Synthetic Division 53 R.7 Rational Expressions 57 R.8 nth Roots: Rational Exponents 68 Chapter Review 76 Chapter 1 Graphs, Equations, and Inequalities 1.1 Rectangular Coordinates: Graphing Utilities; Introduction to Graphing Equations 84 1.2 Solving Equations Using a Graphing Utility, Linear and Rational Equations 100 1.3 Quadratic Equations 112 1.4 Complex Numbers; Quadratic Equations in the Complex Number System 124 1.5 Radical Equations: Equations Quadratic in Form; Absolute Value Equations: Factorable Equations 133 1.6 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs 141 1.7 Solving Inequalities 150 1.8 Lines 163 1.9 Circles 180 Chapter Review 187 Chapter Test 194 Chapter Projects 195 1 83 vii AR Jos OS CONTENTS in 503 Chapter 5 Systems of Equations and Inequalities 5.1 Systems of Lincar Equations. Substitution and Elmination 50t 5.2 Systems of Linear Equations Matrices 519 5.3 Systems of Lincar Equations. Determinants 516 5.4 Matrix Algebra 546 5.5 Partial Fraction Decomposition 563 5.6 Systems of Linear Inequalities 571 5.7 Linear Programming 580 Chapter Review 588 Chapter Test 592 Chapter Projects 593 Cumulative Review 594 Chapter 6 Analytic Geometry 6.1 Conics 596 6.2 The Parabola 597 6.3 The Ellipse 608 6.4 The Hyperbola 619 6.5 Systems of Nonlinear Equations and Inequalities 633 Chapter Review 645 Chapter Test 647 Chapter Projects 647 Cumulative Review 648 595 Chapter 7 Sequences; Induction; the Binomial Theorem 7.1 Sequences 650 7.2 Arithmetic Sequences 662 7.3 Geometric Sequences; Geometric Series 668 7.4 Mathematical Induction 677 7.5 The Binomial Theorem 681 Chapter Review 688 Chapter Test 690 Chapter Projects 691 Cumulative Review 692 Chapter 8 Counting and Probability 8.1 Sets and Counting 694 8.2 Permutations and Combinations 700 8.3 Probability 711 Chapter Review 722 Chapter Test 725 Chapter Projects 726 Cumulative Review 726 Answers AN1 11 Index

Summary: Three Distinct Series Students have different goals, learning styles, and levels of preparation. Instructors have different teaching philosophics, styles, and techniques. Rather than write one series to fit all, the Sullivans have written three distinct series. All share the same goal to develop a high level of mathematical understanding and an appreciation for the way mathematics can describe the world around us. The manner of reaching that goal, however, differs from series to series. Contemporary Series, Seventh Edition The Contemporary Series is the most traditional in approach, yet modern in its treatment of precalculus mathematics. Graphing utility coverage is optional and can be included or excluded based on instructor preference. College Algebra. College Algebra Essentials, Algebra & Trigonometry, Trigonometry. Precalculus. Precalculus Essentials Enhanced with Graphing Utilities Series, Fourth Edition This series provides a more thorough integration of graphing utilities into topies, al-lowing students to explore mathematical concepts and foreshadow ideas usually studied in later courses Using technology, the approach to solving certain problems differs from the Contemporary series, while the emphasis on understanding con-cepts and building strong skills does not. College Algebra, College Algebra Essentials, Algebra & Trigonometry, Trigonometry, Precalculus Graphing, Data, and Analysis Series, Third Edition This series differs from the others, utilizing a functions approach which serves as the organizing principle tying concepts together. Each chapter introduces a new type of function, then develops all concepts pertaining to that particular function. The solu-tions of equations and inequalities, instead of being developed as stand-alone topics, are developed in the context of the underlying functions. Technology is integrated at the same level as the Enhanced with Graphing Utilities series (described above). College Algebra, Algebra & Trigonometry, Precalculus

Holdings
Item type	Current library	Call number	Copy number	Status	Date due	Barcode
Libro	CI Gustavo A. Madero 2	QA152.2 S84718 2009	3	Available
Libro	CI Gustavo A. Madero 2	QA152.2 S84718 2009	Ej:3	Available

Contents

Preface to the Instructor xi

List of Applications xvii

Photo Credits xxi

To the Student xxiv

Chapter R

Review

R.1 Real Numbers 2

R.2 Algebra Review 16

R.3 Geometry Review 29

R.4 Polynomials 35

R.5 Factoring Polynomials 45

R.6 Synthetic Division 53

R.7 Rational Expressions 57

R.8 nth Roots: Rational Exponents 68

Chapter Review 76

Chapter 1

Graphs, Equations, and Inequalities

1.1 Rectangular Coordinates: Graphing Utilities; Introduction to Graphing Equations 84

1.2 Solving Equations Using a Graphing Utility, Linear and Rational Equations 100

1.3 Quadratic Equations 112

1.4 Complex Numbers; Quadratic Equations in the Complex Number System 124

1.5 Radical Equations: Equations Quadratic in Form; Absolute Value Equations: Factorable Equations 133

1.6 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs 141

1.7 Solving Inequalities 150

1.8 Lines 163

1.9 Circles 180

Chapter Review 187

Chapter Test 194

Chapter Projects 195

1

83

vii
AR

Jos

OS

CONTENTS in

503

Chapter 5

Systems of Equations and Inequalities

5.1 Systems of Lincar Equations. Substitution and Elmination 50t

5.2 Systems of Linear Equations Matrices 519

5.3 Systems of Lincar Equations. Determinants 516

5.4 Matrix Algebra 546

5.5 Partial Fraction Decomposition 563

5.6 Systems of Linear Inequalities 571

5.7 Linear Programming 580

Chapter Review 588

Chapter Test 592

Chapter Projects 593

Cumulative Review 594

Chapter 6

Analytic Geometry

6.1 Conics 596

6.2 The Parabola 597

6.3 The Ellipse 608

6.4 The Hyperbola 619

6.5 Systems of Nonlinear Equations and Inequalities 633

Chapter Review 645

Chapter Test 647

Chapter Projects 647

Cumulative Review 648

595

Chapter 7

Sequences; Induction; the Binomial Theorem

7.1 Sequences 650

7.2 Arithmetic Sequences 662

7.3 Geometric Sequences; Geometric Series 668

7.4 Mathematical Induction 677

7.5 The Binomial Theorem 681

Chapter Review 688

Chapter Test 690

Chapter Projects 691

Cumulative Review 692

Chapter 8

Counting and Probability

8.1 Sets and Counting 694

8.2 Permutations and Combinations 700

8.3 Probability 711

Chapter Review 722

Chapter Test 725

Chapter Projects 726

Cumulative Review 726

Answers

AN1

11

Index

Three Distinct Series

Students have different goals, learning styles, and levels of preparation. Instructors have different teaching philosophics, styles, and techniques. Rather than write one series to fit all, the Sullivans have written three distinct series. All share the same goal to develop a high level of mathematical understanding and an appreciation for the way mathematics can describe the world around us. The manner of reaching that goal, however, differs from series to series.

Contemporary Series, Seventh Edition

The Contemporary Series is the most traditional in approach, yet modern in its treatment of precalculus mathematics. Graphing utility coverage is optional and can

be included or excluded based on instructor preference. College Algebra. College Algebra Essentials, Algebra & Trigonometry, Trigonometry. Precalculus. Precalculus Essentials

Enhanced with Graphing Utilities Series, Fourth Edition

This series provides a more thorough integration of graphing utilities into topies, al-lowing students to explore mathematical concepts and foreshadow ideas usually studied in later courses Using technology, the approach to solving certain problems differs from the Contemporary series, while the emphasis on understanding con-cepts and building strong skills does not.

College Algebra, College Algebra Essentials, Algebra & Trigonometry, Trigonometry, Precalculus

Graphing, Data, and Analysis Series, Third Edition

This series differs from the others, utilizing a functions approach which serves as the organizing principle tying concepts together. Each chapter introduces a new type of function, then develops all concepts pertaining to that particular function. The solu-tions of equations and inequalities, instead of being developed as stand-alone topics, are developed in the context of the underlying functions. Technology is integrated at the same level as the Enhanced with Graphing Utilities series (described above).

College Algebra, Algebra & Trigonometry, Precalculus