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Edition: 2ND 99

Copyright: 1999

Publisher: Addison-Wesley Longman, Inc.

Published: 1999

International: No

Copyright: 1999

Publisher: Addison-Wesley Longman, Inc.

Published: 1999

International: No

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The Dugopolski Precalculus series for 1999 is technology optional. With this approach, teachers will be able to choose to offer either a strong technology-oriented course, or a course that does not make use of technology. For departments requiring both options, this text provides the advantage of flexibility.

College Algebra is designed for students who are pursuing further study in mathematics, but is equally appropriate for those who are not. For those students who will study additional mathematics, this text will provide the skills, understanding and insights necessary for success in future courses. For those students who will not pursue further mathematics, the extensive emphasis on applications and modeling will demonstrate the usefulness and applicability of mathematics in today's world. Additionally, the focus on problem solving that is a hallmark of this text provides numerous opportunities for students to reason and think their way through problem situations. The mathematics presented here is interesting, useful, and worth studying. One of the author's principal goals in writing this text was to get students to feel the same way.

New! Linking Concepts This new feature is located at the end of nearly every exercise set. It is a multipart exercise or exploration that can be used for individual or group work. The idea of this feature is to use a concept from the current section along with concepts from previous sections, and ask questions that help students see the links among various concepts. Some parts of these questions are open-ended, and require somewhat more thought than standard exercises. Answers to this feature are given only in the Instructor's Solutions Manual.

- New! Applications Hundreds of new exercises have been added to the exercise sets, most based on and involving applications of real-world situations. The emphasis of the new exercises is on understanding concepts and relationships.

- New! Exercise Sets The exercise sets have been examined carefully to ensure that the exercises range from easy to challenging, and are arranged in order of increasing difficulty. Many new exercises require a graphing calculator.

- New! Regression Problems Many new regression problems have been included in the text, so that students can start with real data, and use a calculator to obtain mathematical models of real problem situations.

- New! Graphing Calculator Exercises Optional exercises that require a graphing calculator are now located in more natural positions in the exercises rather than at the end of the exercise sets as in first edition. The exercises are optional and are marked with a graphing calculator icon.

- New! Graphing Calculator Discussions Optional graphing calculator discussions have been integrated into the text, and are set off with graphing calculator icons so that they can be easily skipped by those not using this technology.

- New! Web Site A new Web site has been established that is designed to increase student success in the course by offering section-by-section tutorial help, enhancement of text group projects, downloadable TI programs and author tips. An icon alerts students to when this site would be useful. The site will also be helpful to instructors by providing useful resources for teaching a precalculus course.

- Chapter Opener Each chapter begins with a Chapter Opener that discusses a real-world situation in which the mathematics of the chapter is used. Examples and exercises that relate back to the opener are included within the chapter.

- Index of Applications The many applications contained within the text are listed in an Index of Applications that immediately follows the Table of Contents. The applications are page referenced and grouped by subject matter.

- For Thought Each exercise set begins with a set of true or false questions that review the basic concepts in that section, help check student understanding before beginning the exercises, and offer opportunities for writing and/or discussion.

- Highlights This end-of-chapter feature presents an overview of each section of the chapter and is a useful summary of the basic information that students should have mastered in that chapter.

- Chapter Review Exercises These exercises are designed to review the chapter, without reference to the individual sections, and prepare students for the Chapter Test.

- Chapter Test The problems in the Chapter Test are designed to help students measure their readiness for a classroom test, and instructors may use them as a model for their own end of chapter tests.

- Tying It All Together This is a review of selected concepts from the present and prior chapters, and requires students to integrate multiple concepts and skills.

**Content Changes**

- Revised Chapter P This chapter contains prerequisite material on real numbers, rules of exponents, factoring, and simplifying expressions. Basic linear, quadratic, and absolute value equations and inequalities are covered in Chapter 1. Some sections from both of these chapters may be omitted depending on the preparation level of the students.

- New! Revised Chapter 3 Quadratic type equations, equations with rational exponents or radicals, and more complicated absolute value equations now occur in Section 3.5, following the theory of polynomial equations, Section 3.4. Because some of these equations are polynomial equations, they will be better understood after the theory of polynomial equations has been studied.

- New! Parametric Equations A new section on parametric equations has been added to Chapter 7.

- New! Vector Dot Products Material on vector dot products has been added to the coverage of vectors in Chapter 7.

Real Numbers and Their Properties

Integral Exponents

Rational Exponents and Radicals

Polynomials

Factoring Polynomials

Rational Expressions

Linear Equations

Applications

Complex Numbers

Quadratic Equations

Linear and Absolute Value Inequalities

Quadratic and Rational Inequalities

The Cartesian Coordinate System

Functions

Graphs of Relations and Functions

Transformations and Symmetry of Graphs

Operations with Functions

Inverse Functions

Variation

Linear Functions

Quadratic Functions

Zeros of Polynomial Functions

The Theory of Equations

Miscellaneous Equations

Graphs of Polynomial Functions

Graphs of Rational Functions

Exponential Functions

Logarithmic Functions

Properties of Logarithms

More Equations and Applications

Systems of Linear Equations in Two Variables

Systems of Linear Equations in Three Variables

Nonlinear Systems of Equations

Partial Fractions

Inequalities and Systems of Inequalities in Two Variables

Linear Programming

Solving Linear Systems Using Matrices

Operations with Matrices

Multiplication of Matrices

Inverses of Matrices

Solution of Linear Systems in Two Variables

Using Determinants

Solution of Linear Systems in Three Variables Using Determinants

The Parabola

The Ellipse and the Circle

The Hyperbola

Sequences

Series

Geometric Sequences and Series

Counting and Permutations

Combinations, Labeling, and the Binomial

Theorem

Probability

Mathematical Induction

Summary

The Dugopolski Precalculus series for 1999 is technology optional. With this approach, teachers will be able to choose to offer either a strong technology-oriented course, or a course that does not make use of technology. For departments requiring both options, this text provides the advantage of flexibility.

College Algebra is designed for students who are pursuing further study in mathematics, but is equally appropriate for those who are not. For those students who will study additional mathematics, this text will provide the skills, understanding and insights necessary for success in future courses. For those students who will not pursue further mathematics, the extensive emphasis on applications and modeling will demonstrate the usefulness and applicability of mathematics in today's world. Additionally, the focus on problem solving that is a hallmark of this text provides numerous opportunities for students to reason and think their way through problem situations. The mathematics presented here is interesting, useful, and worth studying. One of the author's principal goals in writing this text was to get students to feel the same way.

New! Linking Concepts This new feature is located at the end of nearly every exercise set. It is a multipart exercise or exploration that can be used for individual or group work. The idea of this feature is to use a concept from the current section along with concepts from previous sections, and ask questions that help students see the links among various concepts. Some parts of these questions are open-ended, and require somewhat more thought than standard exercises. Answers to this feature are given only in the Instructor's Solutions Manual.

- New! Applications Hundreds of new exercises have been added to the exercise sets, most based on and involving applications of real-world situations. The emphasis of the new exercises is on understanding concepts and relationships.

- New! Exercise Sets The exercise sets have been examined carefully to ensure that the exercises range from easy to challenging, and are arranged in order of increasing difficulty. Many new exercises require a graphing calculator.

- New! Regression Problems Many new regression problems have been included in the text, so that students can start with real data, and use a calculator to obtain mathematical models of real problem situations.

- New! Graphing Calculator Exercises Optional exercises that require a graphing calculator are now located in more natural positions in the exercises rather than at the end of the exercise sets as in first edition. The exercises are optional and are marked with a graphing calculator icon.

- New! Graphing Calculator Discussions Optional graphing calculator discussions have been integrated into the text, and are set off with graphing calculator icons so that they can be easily skipped by those not using this technology.

- New! Web Site A new Web site has been established that is designed to increase student success in the course by offering section-by-section tutorial help, enhancement of text group projects, downloadable TI programs and author tips. An icon alerts students to when this site would be useful. The site will also be helpful to instructors by providing useful resources for teaching a precalculus course.

- Chapter Opener Each chapter begins with a Chapter Opener that discusses a real-world situation in which the mathematics of the chapter is used. Examples and exercises that relate back to the opener are included within the chapter.

- Index of Applications The many applications contained within the text are listed in an Index of Applications that immediately follows the Table of Contents. The applications are page referenced and grouped by subject matter.

- For Thought Each exercise set begins with a set of true or false questions that review the basic concepts in that section, help check student understanding before beginning the exercises, and offer opportunities for writing and/or discussion.

- Highlights This end-of-chapter feature presents an overview of each section of the chapter and is a useful summary of the basic information that students should have mastered in that chapter.

- Chapter Review Exercises These exercises are designed to review the chapter, without reference to the individual sections, and prepare students for the Chapter Test.

- Chapter Test The problems in the Chapter Test are designed to help students measure their readiness for a classroom test, and instructors may use them as a model for their own end of chapter tests.

- Tying It All Together This is a review of selected concepts from the present and prior chapters, and requires students to integrate multiple concepts and skills.

**Content Changes**

- Revised Chapter P This chapter contains prerequisite material on real numbers, rules of exponents, factoring, and simplifying expressions. Basic linear, quadratic, and absolute value equations and inequalities are covered in Chapter 1. Some sections from both of these chapters may be omitted depending on the preparation level of the students.

- New! Revised Chapter 3 Quadratic type equations, equations with rational exponents or radicals, and more complicated absolute value equations now occur in Section 3.5, following the theory of polynomial equations, Section 3.4. Because some of these equations are polynomial equations, they will be better understood after the theory of polynomial equations has been studied.

- New! Parametric Equations A new section on parametric equations has been added to Chapter 7.

- New! Vector Dot Products Material on vector dot products has been added to the coverage of vectors in Chapter 7.

Table of Contents
#### Chapter P: Prerequisites

#### Chapter 1: Equations and Inequalities

#### Chapter 2: Functions and Graphs

#### Chapter 3: Polynomial and Rational Functions

#### Chapter 4: Exponential and Logarithmic Functions

#### Chapter 5: Systems of Equations and Inequalities

#### Chapter 6: Matrices and Determinants

#### Chapter 7: The Conic Sections

#### Chapter 8: Sequences, Series, and Probability

Real Numbers and Their Properties

Integral Exponents

Rational Exponents and Radicals

Polynomials

Factoring Polynomials

Rational Expressions

Linear Equations

Applications

Complex Numbers

Quadratic Equations

Linear and Absolute Value Inequalities

Quadratic and Rational Inequalities

The Cartesian Coordinate System

Functions

Graphs of Relations and Functions

Transformations and Symmetry of Graphs

Operations with Functions

Inverse Functions

Variation

Linear Functions

Quadratic Functions

Zeros of Polynomial Functions

The Theory of Equations

Miscellaneous Equations

Graphs of Polynomial Functions

Graphs of Rational Functions

Exponential Functions

Logarithmic Functions

Properties of Logarithms

More Equations and Applications

Systems of Linear Equations in Two Variables

Systems of Linear Equations in Three Variables

Nonlinear Systems of Equations

Partial Fractions

Inequalities and Systems of Inequalities in Two Variables

Linear Programming

Solving Linear Systems Using Matrices

Operations with Matrices

Multiplication of Matrices

Inverses of Matrices

Solution of Linear Systems in Two Variables

Using Determinants

Solution of Linear Systems in Three Variables Using Determinants

The Parabola

The Ellipse and the Circle

The Hyperbola

Sequences

Series

Geometric Sequences and Series

Counting and Permutations

Combinations, Labeling, and the Binomial

Theorem

Probability

Mathematical Induction

Publisher Info

Publisher: Addison-Wesley Longman, Inc.

Published: 1999

International: No

Published: 1999

International: No

The Dugopolski Precalculus series for 1999 is technology optional. With this approach, teachers will be able to choose to offer either a strong technology-oriented course, or a course that does not make use of technology. For departments requiring both options, this text provides the advantage of flexibility.

College Algebra is designed for students who are pursuing further study in mathematics, but is equally appropriate for those who are not. For those students who will study additional mathematics, this text will provide the skills, understanding and insights necessary for success in future courses. For those students who will not pursue further mathematics, the extensive emphasis on applications and modeling will demonstrate the usefulness and applicability of mathematics in today's world. Additionally, the focus on problem solving that is a hallmark of this text provides numerous opportunities for students to reason and think their way through problem situations. The mathematics presented here is interesting, useful, and worth studying. One of the author's principal goals in writing this text was to get students to feel the same way.

New! Linking Concepts This new feature is located at the end of nearly every exercise set. It is a multipart exercise or exploration that can be used for individual or group work. The idea of this feature is to use a concept from the current section along with concepts from previous sections, and ask questions that help students see the links among various concepts. Some parts of these questions are open-ended, and require somewhat more thought than standard exercises. Answers to this feature are given only in the Instructor's Solutions Manual.

- New! Applications Hundreds of new exercises have been added to the exercise sets, most based on and involving applications of real-world situations. The emphasis of the new exercises is on understanding concepts and relationships.

- New! Exercise Sets The exercise sets have been examined carefully to ensure that the exercises range from easy to challenging, and are arranged in order of increasing difficulty. Many new exercises require a graphing calculator.

- New! Regression Problems Many new regression problems have been included in the text, so that students can start with real data, and use a calculator to obtain mathematical models of real problem situations.

- New! Graphing Calculator Exercises Optional exercises that require a graphing calculator are now located in more natural positions in the exercises rather than at the end of the exercise sets as in first edition. The exercises are optional and are marked with a graphing calculator icon.

- New! Graphing Calculator Discussions Optional graphing calculator discussions have been integrated into the text, and are set off with graphing calculator icons so that they can be easily skipped by those not using this technology.

- New! Web Site A new Web site has been established that is designed to increase student success in the course by offering section-by-section tutorial help, enhancement of text group projects, downloadable TI programs and author tips. An icon alerts students to when this site would be useful. The site will also be helpful to instructors by providing useful resources for teaching a precalculus course.

- Chapter Opener Each chapter begins with a Chapter Opener that discusses a real-world situation in which the mathematics of the chapter is used. Examples and exercises that relate back to the opener are included within the chapter.

- Index of Applications The many applications contained within the text are listed in an Index of Applications that immediately follows the Table of Contents. The applications are page referenced and grouped by subject matter.

- For Thought Each exercise set begins with a set of true or false questions that review the basic concepts in that section, help check student understanding before beginning the exercises, and offer opportunities for writing and/or discussion.

- Highlights This end-of-chapter feature presents an overview of each section of the chapter and is a useful summary of the basic information that students should have mastered in that chapter.

- Chapter Review Exercises These exercises are designed to review the chapter, without reference to the individual sections, and prepare students for the Chapter Test.

- Chapter Test The problems in the Chapter Test are designed to help students measure their readiness for a classroom test, and instructors may use them as a model for their own end of chapter tests.

- Tying It All Together This is a review of selected concepts from the present and prior chapters, and requires students to integrate multiple concepts and skills.

**Content Changes**

- Revised Chapter P This chapter contains prerequisite material on real numbers, rules of exponents, factoring, and simplifying expressions. Basic linear, quadratic, and absolute value equations and inequalities are covered in Chapter 1. Some sections from both of these chapters may be omitted depending on the preparation level of the students.

- New! Revised Chapter 3 Quadratic type equations, equations with rational exponents or radicals, and more complicated absolute value equations now occur in Section 3.5, following the theory of polynomial equations, Section 3.4. Because some of these equations are polynomial equations, they will be better understood after the theory of polynomial equations has been studied.

- New! Parametric Equations A new section on parametric equations has been added to Chapter 7.

- New! Vector Dot Products Material on vector dot products has been added to the coverage of vectors in Chapter 7.

Real Numbers and Their Properties

Integral Exponents

Rational Exponents and Radicals

Polynomials

Factoring Polynomials

Rational Expressions

Linear Equations

Applications

Complex Numbers

Quadratic Equations

Linear and Absolute Value Inequalities

Quadratic and Rational Inequalities

The Cartesian Coordinate System

Functions

Graphs of Relations and Functions

Transformations and Symmetry of Graphs

Operations with Functions

Inverse Functions

Variation

Linear Functions

Quadratic Functions

Zeros of Polynomial Functions

The Theory of Equations

Miscellaneous Equations

Graphs of Polynomial Functions

Graphs of Rational Functions

Exponential Functions

Logarithmic Functions

Properties of Logarithms

More Equations and Applications

Systems of Linear Equations in Two Variables

Systems of Linear Equations in Three Variables

Nonlinear Systems of Equations

Partial Fractions

Inequalities and Systems of Inequalities in Two Variables

Linear Programming

Solving Linear Systems Using Matrices

Operations with Matrices

Multiplication of Matrices

Inverses of Matrices

Solution of Linear Systems in Two Variables

Using Determinants

Solution of Linear Systems in Three Variables Using Determinants

The Parabola

The Ellipse and the Circle

The Hyperbola

Sequences

Series

Geometric Sequences and Series

Counting and Permutations

Combinations, Labeling, and the Binomial

Theorem

Probability

Mathematical Induction