Precalculus: Graphical, Numerical, Algebraic, Global Edition

Series
Pearson
Author
Franklin Demana / Bert K. Waits / Gregory D. Foley / Daniel Kennedy / Dave Bock  
Publisher
Pearson
Cover
Softcover
Edition
9
Language
English
Total pages
1008
Pub.-date
January 2015
ISBN13
9781292079455
ISBN
1292079452
Related Titles


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9781292079455
Precalculus: Graphical, Numerical, Algebraic, Global Edition
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Description

For courses in Precalculus

 

Take Precalculus from the Authors that Wrote “the” Calculus book

 

Precalculus: Graphical, Numerical, Algebraic — by the nationally recognized author team of Demana, Waits, Foley, Kennedy, and Bock—is the leading choice for graphing-intense courses. Now in its Ninth Edition, this bestseller offers extremely accessible writing and exercises, a balanced approach to problem solving, the most appropriate use of technology, and an easier and more consistent transition from Precalculus to Calculus. A principal feature of this text is the balance among the algebraic, numerical, graphical, and verbal methods of representing problems: the rule of four.  This approach reinforces the idea that to understand a problem fully, students need to understand it algebraically as well as graphically and numerically.

 

MyMathLab® not included. Students, if MyMathLab is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN and course ID. MyMathLab should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information.

 

MyMathLab is an online homework, tutorial, and assessment product designed to personalize learning and improve results. With a wide range of interactive, engaging, and assignable activities, students are encouraged to actively learn and retain tough course concepts.

Features

This title is a Pearson Global Edition. The Editorial team at Pearson has worked closely with educators around the world to include content which is especially relevant to students outside the United States.

 About the Book

 Precalculus is written by a nationally recognized author team, with years of experience and expertise in the teaching of both precalculus and calculus. It is an ideal predecessor to their Calculus: Graphical, Numerical, Algebraic, Fourth Edition.

  • This text is designed for the way you teach:
    • Additional coverage of topics that students are likely to struggle with.
    • Shorter sections to accommodate the class period length.
    • Extensive resources for new and experienced instructors
  • It also meets the needs of today’s students:
    • Perfect balance of graphical and algebraic representation.
    • Applications integrated throughout the text.
    • Examples and exercises for all levels of students
  • The Twelve Basic Functions are emphasized throughout the book as a major theme and focus.
  • Expanded sections now include Closeness and Betweenness in a Complex World and Random Variables and Expected Value.
  • UPDATED! Data sets and application have been updated to ensure currency.
  • Chapter Openers include a general description of an application that can be solved with the concepts learned in the chapter. The application is revisited later in the chapter via a specific problem that is solved.
  • A Chapter Overview begins each chapter to give students a sense of what they are going to learn, providing a roadmap of the chapter, as well as tells how the topics in the chapter are connected under one big idea.
  • Now Try a related exercise ends each example. Working the suggested exercise is an easy way for students to check their comprehension of the material while reading each section. In the Annotated Teacher’s Edition, various examples are marked for the teacher with the icon. Alternates are provided for these examples in the PowerPoint Slides.
  • Explorations appear throughout the text and provide students with the perfect opportunity to become active learners and to discover mathematics on their own. This will help hone critical-thinking and problem-solving skills. Some are technology-based and others involve exploring mathematical ideas and connections.
  • Margin Notes and Tips on various topics appear throughout the text. Tips offer practical advice on using the grapher to obtain the best, most accurate results. Margin notes include historical information and hints about examples, and provide additional insight to help students avoid common pitfalls and errors.
  • The Looking Ahead to Calculus icon is found throughout the text next to many examples and topics to point out concepts that students will encounter again in calculus. Ideas that foreshadow calculus, such as limits, maximum and minimum, asymptotes, and continuity, are highlighted. Some calculus notation and language are introduced in the early chapters and used throughout the text to establish familiarity.
  • The Chapter Review material at the end of each chapter consists of sections dedicated to helping students review the chapter concepts. Key Ideas are broken into parts: Properties, Theorems, and Formulas; Procedures; and Gallery of Functions. The Review Exercises represent the full range of exercises covered in the chapter and give additional practice with the ideas developed in the chapter. The exercises with red numbers indicate problems that would make up a good chapter test. Chapter Projects conclude each chapter and require students to analyze data. They can be assigned as either individual or group work.
  • Exercise Sets begin with a Quick Review to help students review skills needed in the exercise set and references others sections students can go to for help. Some exercises are designed to be solved without a calculator; the numbers of these exercises are printed within a gray oval. Students are urged to support the answers to these (and all) exercises graphically or numerically, but only after they have solved them with pencil and paper. There are over 6000 exercises, including 720 Quick Review Exercises. The section exercises have been carefully graded from routine to challenging.

Also included in the exercise sets are thought-provoking exercises:

  • Standardized Test Questions include two true-false problems with justifications and four multiple-choice questions.
  • Explorations are opportunities for students to discover mathematics on their own or in groups. These exercises often require the use of critical thinking to explore the ideas.
  • Writing to Learn exercises give students practice at communicating about mathematics and opportunities to demonstrate understanding of important ideas.
  • Group Activity exercises ask students to work on the problems in groups or solve them as individual or group projects.
  • Extending the Ideas exercises go beyond what is presented in the textbook. These exercises are challenging extensions of the book’s material.

 MyMathLab® not included. Students, if MyMathLab is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN and course ID. MyMathLab should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information.

 MyMathLab helps individual students succeed.

  • MyMathLab has a consistently positive impact on student retention, subsequent success, and overall achievement. MyMathLab can be successfully implemented in any environment—lab-based, traditional, fully online, or hybrid.
  • MyMathLab has a comprehensive gradebook that automatically tracks your students’ results on tests, quizzes, homework, and in the study plan. You can use the gradebook to quickly intervene if your students have trouble, or to provide positive feedback on a job well done.

MyMathLab provides engaging experiences that personalize, stimulate, and measure learning for each student.

  • Personalized Learning: MyMathLab’s personalized homework and study plan features allow your students to work more efficiently, spending time where they really need to.
  • Exercises: The homework and practice exercises in MyMathLab are correlated to the exercises in the textbook, and they regenerate algorithmically to give students unlimited opportunity for practice and mastery. Students receive immediate, helpful feedback when they work through each exercise.
  • Multimedia Learning Aids: Exercises include guided solutions, sample problems, animations, videos, and eText access for extra help at point-of-use.
  • Learning Catalytics™: MyMathLab now provides Learning Catalytics—an interactive student response tool that uses students’ smartphones, tablets, or laptops to engage them in more sophisticated tasks and thinking.

MyMathLab Accessibility:

  • MyMathLab is compatible with the JAWS screen reader, and enables multiple-choice and free-response problem-types to be read and interacted with via keyboard controls and math notation input.
  • More information on this functionality is available at http://mymathlab.com/accessibility.

And, MyMathLab comes from an experienced partner with educational expertise and an eye on the future.

  • Whether you are just getting started with MyMathLab, or have a question along the way, we’re here to help.
  • Contact your Pearson representative directly or at www.mymathlab.com

New to this Edition

Content Changes 

  • UPDATED! Examples and exercises throughout the book to include the most current data available
  • UPDATED! Calculator screens to conform to the enhanced capabilities of modern graphers.
  • EXPANDED! Student and teacher notes.
  • ADDED! Separate chapter titled Statistics and Probability. The Common Core Edition is built upon the prior editions of this textbook.
  • Chapter P:  the use of the point-slope form of a line has been integrated into the solution of more examples.
  • Chapter 1:  References to calculator regression models were reworded to avoid giving the wrong signals about how statisticians actually operate. The discussion of linear correlation was revised in Chapter 2  to complement this edition’s more extensive treatment of Statistics. The section on financial mathematics in
  • Chapter 3: Financial mathematics section now includes simple interest and a predator prey application.
  • Chapter 6: Several significant textual changes have been made in order to tie the topics of this chapter (vectors, parametric equations, and polar graphing) more directly to the topics in the preceding chapters, particularly the unifying concepts of functions and their graphs in the Cartesian plane.
  • Chapter 7: The material on partial fractions has been incorporated into Section 7.3 to streamline Chapter 7.
  • Chapter 8: The treatment of conic sections has been changed to emphasize that they are extensions of previously studied topics, even if their graphs do not pass the vertical line test. Explorations have been added to allow students to make the connections with earlier topics; for example, rotation of axes is introduced by prompting students to treat one of their twelve basic functions (the reciprocal function) as a hyperbola and find its vertices and foci.
  • NEW! Chapter 10: Expands the discussion of Statistics and probability. Section 10.1 opens the chapter with a discussion of basic probability concepts, including sample spaces, determining probabilities of compound events, Venn diagrams, tree diagrams, and conditional probability.

MyMathLab® not included. Students, if MyMathLab is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN and course ID. MyMathLab should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information.

 MyMathLab helps individual students succeed.

  • MyMathLab has a consistently positive impact on student retention, subsequent success, and overall achievement. MyMathLab can be successfully implemented in any environment—lab-based, traditional, fully online, or hybrid.
  • MyMathLab has a comprehensive gradebook that automatically tracks your students’ results on tests, quizzes, homework, and in the study plan. You can use the gradebook to quickly intervene if your students have trouble, or to provide positive feedback on a job well done.

 

Table of Contents

Prerequisites

P.1 Real Numbers

P.2 Cartesian Coordinate System

P.3 Linear Equations and Inequalities

P.4 Lines in the Plane

P.5  Solving Equations Graphically, Numerically, and Algebraically

P.6 Complex Numbers

P.7 Solving Inequalities Algebraically and Graphically

 

1. Functions and Graphs

1.1 Modeling and Equation Solving

1.2 Functions and Their Properties

1.3 Twelve Basic Functions

1.4 Building Functions from Functions

1.5 Parametric Relations and Inverses

1.6 Graphical Transformations

1.7 Modeling with Functions

 

2.  Polynomial, Power, and Rational Functions

2.1 Linear and Quadratic Functions and Modeling

2.2 Power Functions with Modeling

2.3  Polynomial Functions of Higher Degree with Modeling

2.4 Real Zeros of Polynomial Functions

2.5  Complex Zeros and the Fundamental Theorem of Algebra

2.6 Graphs of Rational Functions

2.7 Solving Equations in One Variable

2.8 Solving Inequalities in One Variable

 

3.  Exponential, Logistic, and Logarithmic Functions

3.1 Exponential and Logistic Functions

3.2 Exponential and Logistic Modeling

3.3 Logarithmic Functions and Their Graphs

3.4 Properties of Logarithmic Functions

3.5 Equation Solving and Modeling

3.6 Mathematics of Finance

 

4. Trigonometric Functions

4.1 Angles and Their Measures

4.2 Trigonometric Functions of Acute Angles

4.3 Trigonometry Extended: The Circular Functions

4.4 Graphs of Sine and Cosine: Sinusoids

4.5 Graphs of Tangent, Cotangent, Secant, and Cosecant  Graphs of Tangent, Cotangent, Secant, and Cosecant  Graphs of Tangent, Cotangent, Secant, and Cosecant

4.6 Graphs of Composite Trigonometric Functions

4.7 Inverse Trigonometric Functions

4.8 Solving Problems with Trigonometry

 

5.  Analytic Trigonometry

5.1 Fundamental Identities

5.2 Proving Trigonometric Identities

5.3 Sum and Difference Identities

5.4 Multiple-Angle Identities

5.5 The Law of Sines

5.6 The Law of Cosines

 

6.  Applications of Trigonometry

6.1 Vectors in the Plane

6.2 Dot Product of Vectors

6.3 Parametric Equations and Motion

6.4 Polar Coordinates

6.5 Graphs of Polar Equations

6.6 De Moivre’s Theorem and nth Roots

 

7.  Systems and Matrices

7.1 Solving Systems of Two Equations

7.2 Matrix Algebra

7.3 Multivariate Linear Systems and Row Operations

7.4 Systems of Inequalities in Two Variables

 

8.  Analytic Geometry in Two and Three Dimensions

8.1 Conic Sections and a New Look at Parabolas

8.2 Circles and Ellipses

8.3 Hyperbolas

8.4 Quadratic Equations with xy Termsxy Termsxy [space after terms?]

8.5 Polar Equations of Conics

8.6 Three-Dimensional Cartesian Coordinate System

 

9.  Discrete Mathematics

9.1 Basic Combinatorics

9.2 Binomial Theorem

9.3 Sequences

9.4 Series

9.5 Mathematical Induction

 

10.  Statistics and Probability

10.1 Probability  

10.2 Statistics (Graphical)

10.3 Statistics (Numerical)

10.4 Random Variables and Probability Models

10.5 Statistical Literacy

 

11. An Introduction to Calculus: Limits, Derivatives, and Integrals

11.1 Limits and Motion: The Tangent Problem

11.2 Limits and Motion: The Area Problem

11.3 More on Limits

11.4 Numerical Derivatives and Integrals

 

Algebra Review

A.1 Radicals and Rational Exponents

A.2 Polynomials and Factoring

A.3 Fractional Expressions

 

Logic

B.1 Logic: An Introduction

B.2 Conditionals and Biconditionals

 

Key Formulas

C.1 Formulas from Algebra

C.2 Formulas from Geometry

C.3 Formulas from Trigonometry

C.4 Formulas from Analytic Geometry

C.5 Gallery of Basic Functions