Precalculus: Mathematics for Calculus, 6th Edition

  • James Stewart McMaster University
  • Lothar Redlin Pennsylvania State University, Abington Campus
  • Saleem Watson California State University, Long Beach
  • ISBN-10: 0840068077
  • ISBN-13: 9780840068071
  • 1008 Pages Hardcover 
  • Previous Editions: 2007
  • © 2012 | Published
  • College Bookstore Wholesale Price = $205.75 
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About The Solution

Overview

This best selling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, providing students with a solid foundation in the principles of mathematical thinking. Comprehensive and evenly paced, the book provides complete coverage of the function concept, and integrates a significant amount of graphing calculator material to help students develop insight into mathematical ideas. The authors' attention to detail and clarity, the same as found in James Stewart's market-leading Calculus text, is what makes this text the market leader.


Additional Product Information

Features/Benefits

  • Focus on Modeling sections illustrate modeling techniques as well as how mathematics can be applied to model real-life situations. These sections, as well as others, are devoted to teaching students how to create their own mathematical models, rather than using prefabricated formulas.
  • Real-world applications from engineering, physics, chemistry, business, biology, environmental studies, and other fields demonstrate how mathematics is used to model real-life situations.
  • The chapters on trigonometry are written so professors can begin with either the right triangle approach or the unit circle approach.
  • Each approach to trigonometry is accompanied by the applications appropriate for that approach, clarifying the reason for different approaches to trigonometry.
  • Mathematics in The Modern World vignettes show that mathematics is a living science crucial to the scientific and technological progress of recent times, as well as to the social, behavioral, and life sciences.
  • Discovery/Discussion/Writing problems at the end of every section encourage students to use and develop conceptual, critical thinking, and writing skills.
  • Discovery Projects formerly in the text are now on the Book Companion Website. These projects engage students by providing a challenging but accessible set of activities that enable them (perhaps working in groups) to explore in greater depth an interesting aspect of the topic they have just learned.
  • Review Sections and Chapter Tests at the end of each chapter help students gauge their learning progress. Brief answers to the odd-numbered exercises in each section and to all questions in the Chapter Tests are provided at the back of the book.

What's New

  • More than 20% of the exercises in the text are new. In addition, each exercise set has been restructured to begin with new
  • The section entitled "Principles of Problem Solving" is now a Prologue to the book. Problem Solving sections, each highlighting a particular problem solving principle, are now posted on the Book Companion Website.
  • Discovery Projects, which encourage and motivate students to further explore chapter topics, are now available on the Book Companion Website.
  • All examples in the book are now paired with a new Now Try Exercise XX, allowing students to reinforce their understanding of a concept by practicing the technique that is involved. This integration also teaches and encourages students to solve rather than just memorize.
  • Chapter 2 has been completely rewritten to focus more sharply on the fundamental and crucial concept of function. The material on quadratic functions, formerly in this chapter, is now part of the chapter on polynomial functions.
  • Chapter 3 now begins with a section on quadratic functions, leading to higher degree polynomial functions.
  • Chapter 5 includes a new section on inverse trigonometric functions and their graphs (Section 5.5) to better segue into the section that follows (on harmonic motion).
  • Chapter 6 includes a new section on inverse trigonometric functions and right triangles (Section 6.4), which is needed in applying the Laws of Sines and Cosines in the following section, as well as for solving trigonometric equations in Chapter 7.
  • Chapter 7 has been completely revised, including two new sections on trigonometric equations (Sections 7.4 and 7.5) that expand coverage of this topic.
  • Chapter 8 is completely revised, and now features a sharper focus on the concept of coordinate systems and a new section on parametric equations.
  • This chapter includes a new Focus on Modeling section and four sections with completely new material on such topics as the cross product and equations of lines and planes.
  • Chapter 11 is now more sharply focused on the topic of analytic geometry; the section on parametric equations has been moved to Chapter 8.

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Table of Contents

Preface.
To the Student.
Prologue: Principles of Problem Solving.
1. FUNDAMENTALS.
Chapter Overview. Real Numbers. Exponents and Radicals. Algebraic Expressions. Rational Expressions. Equations. Modeling with Equations. Inequalities. Coordinate Geometry. Graphing Calculators; Solving Equations and Inequalities Graphically. Lines. Making Models Using Variation. Chapter 1 Review. Chapter 1 Test. FOCUS ON MODELING: Fitting Lines to Data.
2. FUNCTIONS.
Chapter Overview. What is a Function?. Graphs of Functions. Getting Information from the Graph of a Function. Average Rate of Change of a Function. Transformations of Functions. Combining Functions. One-to-One Functions and Their Inverses. Chapter 2 Review. Chapter 2 Test. FOCUS ON MODELING: Modeling with Functions.
3. POLYNOMIAL AND RATIONAL FUNCTIONS.
Chapter Overview. Quadratic Functions and Models. Polynomial Functions and Their Graphs. Dividing Polynomials. Real Zeros of Polynomials. Complex Numbers. Complex Zeros and the Fundamental Theorem of Algebra. Rational Functions. Chapter 3 Review. Chapter 3 Test. FOCUS ON MODELING: Fitting Polynomial Curves to Data.
4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Chapter Overview. Exponential Functions. The Natural Exponential Function. Logarithmic Functions. Laws of Logarithms. Exponential and Logarithmic Equations. Modeling with Exponential and Logarithmic Functions. Chapter 4 Review. Chapter 4 Test. FOCUS ON MODELING: Fitting Exponential and Power Curves to Data. Cumulative Review Test: Chapters 2, 3, and 4.
5. TRIGONOMETRIC FUNCTIONS: UNIT CIRCLE APPROACH.
Chapter Overview. The Unit Circle. Trigonometric Functions of Real Numbers. Trigonometric Graphs. More Trigonometric Graphs. Inverse Trigonometric Functions and Their Graphs. Modeling Harmonic Motion. Chapter 5 Review. Chapter 5 Test. FOCUS ON MODELING: Fitting Sinusoidal Curves to Data.
6. TRIGONOMETRIC FUNCTIONS: RIGHT TRIANGLE APPROACH.
Chapter Overview. Angle Measure. Trigonometry of Right Triangles. Trigonometric Functions of Angles. Inverse Trigonometric Functions and Triangles. The Law of Sines. The Law of Cosines. Chapter 6 Review. Chapter 6 Test. FOCUS ON MODELING: Surveying.
7. ANALYTIC TRIGONOMETRY.
Chapter Overview. Trigonometric Identities. Addition and Subtraction Formulas. Double-Angle, Half-Angle, and Sum-Product Identities. Basic Trigonometric Equations. More Trigonometric Equations. Chapter 7 Review. Chapter 7 Test. FOCUS ON MODELING: Traveling and Standing Waves. Cumulative Review Test: Chapters 5, 6, and 7.
8. POLAR COORDINATES AND PARAMETRIC EQUATIONS.
Chapter Overview. Polar Coordinates. Graphs of Polar Equations. Polar Form of Complex Numbers; DeMoivre’s Theorem. Plane Curves and Parametric Equations. Chapter 8 Review. Chapter 8 Test. FOCUS ON MODELING: The Path of a Projectile.
9. VECTORS IN TWO AND THREE DIMENSIONS.
Chapter Overview. Vectors in Two Dimensions. The Dot Product. Three –Dimensional Coordinate Geometry. Vectors in Three Dimensions. The Cross Product. Equations of Lines and Planes. Chapter 9 Review. Chapter 9 Test. FOCUS ON MODELING: Vector Fields. Cumulative Review Test: Chapters 8 and 9.
10. SYSTEMS OF EQUATIONS AND INEQUALITIES.
Chapter Overview. Systems of Linear Equations in Two Variables. Systems of Linear Equations in Several Variables. Matrices and Systems of Linear Equations. The Algebra of Matrices. Inverses of Matrices and Matrix Equations. Determinants and Cramer’s Rule. Partial Fractions. Systems of Nonlinear Equations. Systems of Inequalities. Chapter 10 Review. Chapter 10 Test. FOCUS ON MODELING: Linear Programming.
11. CONIC SECTIONS.
Chapter Overview. Parabolas. Ellipses. Hyperbolas. Shifted Conics. Rotation of Axes. Polar Equations of Conics. Chapter 11 Review. Chapter 11 Test. FOCUS ON MODELING: Conics in Architecture. Cumulative Review Test: Chapters 10 and 11.
12. SEQUENCES AND SERIES.
Chapter Overview. Sequences and Summation Notation. Arithmetic Sequences. Geometric Sequences. Mathematics of Finance. Mathematical Induction. The Binomial Theorem. Chapter 12 Review. Chapter 12 Test. FOCUS ON MODELING: Modeling with Recursive Sequences.
13. LIMITS: A PREVIEW OF CALCULUS.
Chapter Overview. Finding Limits Numerically and Graphically. Finding Limits Algebraically. Tangent Lines and Derivatives. Limits at Infinity: Limits of Sequences. Areas. Chapter 13 Review. Chapter 13 Test. FOCUS ON MODELING: Interpretations of Area. Cumulative Review Test: Chapters 12 and 13.
APPENDIX Calculations and Significant Figures.

Supplements

Instructor Supplements

Instructor Supplements

All supplements have been updated in coordination with the main title. Select the main title’s "About the Solution" tab, then select "What's New" for updates specific to title's edition. For more information about these supplements, or to obtain them, contact your Learning Consultant.

Mathematics CourseMate with eBook Instant Access Code  (ISBN-10: 1111765588 | ISBN-13: 9781111765583)

Cengage Learning's Mathematics CourseMate brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. Access an integrated eBook, learning tools including flashcards, quizzes, and more, all designed specifically to work with PRECALCULUS: MATHEMATICS FOR CALCULUS, 6th Edition.

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Online Adobe PDF eBook Instant Access Code  (ISBN-10: 1111581843 | ISBN-13: 9781111581848)

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Adobe PDF eBook on CD  (ISBN-10: 1111581738 | ISBN-13: 9781111581732)

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Instructor's Guide  (ISBN-10: 0840068832 | ISBN-13: 9780840068835)

Doug Shaw, author of the Instructor Guides for the widely used Stewart calculus texts, wrote this helpful teaching companion. It contains points to stress, suggested time to allot, text discussion topics, core materials for lectures, workshop/discussion suggestions, group work exercises in a form suitable for handout, solutions to group work exercises, and suggested homework problems.


Complete Solutions Manual  (ISBN-10: 0840068808 | ISBN-13: 9780840068804)

The complete solutions manual provides worked-out solutions to all of the problems in the text.


PowerLecture with ExamView®  (ISBN-10: 0840069014 | ISBN-13: 9780840069016)

This CD-ROM (or DVD) provides the instructor with dynamic media tools for teaching. Create, deliver, and customize tests (both print and online) in minutes with ExamView® Computerized Testing Featuring Algorithmic Equations. Easily build solution sets for homework or exams using Solution Builder's online solutions manual. Microsoft® PowerPoint® lecture slides and figures from the book are also included on this CD-ROM(or DVD).


Preview Chapter  (ISBN-10: 1111569363 | ISBN-13: 9781111569365)


Text-Specific DVD  (ISBN-10: 0840068824 | ISBN-13: 9780840068828)

The Text-Specific DVDs include new learning objective based lecture videos. These DVDs provide comprehensive coverage of the course--along with additional explanations of concepts, sample problems, and applications--to help students review essential topics.

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Student Solutions Manual  (ISBN-10: 0840068794 | ISBN-13: 9780840068798)

Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.

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Study Guide  (ISBN-10: 0840069170 | ISBN-13: 9780840069177)

This carefully crafted learning resource helps students develop their problem-solving skills while reinforcing their understanding with detailed explanations, worked-out examples, and practice problems. Students will also find listings of key ideas to master. Each section of the main text has a corresponding section in the Study Guide.

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Note Taking Guide  (ISBN-10: 1111572593 | ISBN-13: 9781111572594)

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Precalculus: Mathematics for Calculus (High School Edition)  (ISBN-10: 1111428743 | ISBN-13: 9781111428747)

This best selling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, providing students with a solid foundation in the principles of mathematical thinking. Comprehensive and evenly paced, the book provides complete coverage of the function concept, and integrates a significant amount of graphing calculator material to help students develop insight into mathematical ideas. The authors' attention to detail and clarity, the same as found in James Stewart's market-leading Calculus text, is what makes this text the market leader.

List Price = $148.95  | College Bookstore Wholesale Price = $110.00


Enhanced WebAssign Single-Term LOE Instant Access for Pre-Calculus and College Algebra  (ISBN-10: 128585831X | ISBN-13: 9781285858319)

IMPORTANT: When purchasing this instant access code for Pre-Calculus & College Algebra, ensure that you are using it in one of the following courses: College Algebra, Trigonometry, Algebra and Trigonometry or Precalculus. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If your students need to retake the course and you are using the same book AND edition then they will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your Cengage Learning Consultant.

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Student Supplements

Student Supplements

All supplements have been updated in coordination with the main title. Select the main title’s "About the Solution" tab, then select "What's New" for updates specific to title's edition. For more information about these supplements, or to obtain them, contact your Learning Consultant.

Mathematics CourseMate with eBook Instant Access Code  (ISBN-10: 1111765588 | ISBN-13: 9781111765583)

Cengage Learning's Mathematics CourseMate brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. Access an integrated eBook, learning tools including flashcards, quizzes, and more, all designed specifically to work with PRECALCULUS: MATHEMATICS FOR CALCULUS, 6th Edition.

List Price = $152.00  | CengageBrain Price = $152.00  | College Bookstore Wholesale Price = $152.00


Online Adobe PDF eBook Instant Access Code  (ISBN-10: 1111581843 | ISBN-13: 9781111581848)

List Price = $160.25  | College Bookstore Wholesale Price = $160.25


Adobe PDF eBook on CD  (ISBN-10: 1111581738 | ISBN-13: 9781111581732)

List Price = $225.95  | College Bookstore Wholesale Price = $167.50


Student Solutions Manual  (ISBN-10: 0840068794 | ISBN-13: 9780840068798)

Go beyond the answers--see what it takes to get there and improve your grade! This manual provides worked-out, step-by-step solutions to the odd-numbered problems in the text. This gives you the information you need to truly understand how these problems are solved.

List Price = $98.95  | CengageBrain Price = $98.49  | College Bookstore Wholesale Price = $73.50


Study Guide  (ISBN-10: 0840069170 | ISBN-13: 9780840069177)

Organized according to sections of the main text, this carefully crafted learning resource helps you develop your problem-solving skills while reinforcing your understanding with detailed explanations, worked-out examples, and practice problems. You'll also find listings of key ideas to master.

List Price = $93.95  | CengageBrain Price = $93.49  | College Bookstore Wholesale Price = $69.25


Note Taking Guide  (ISBN-10: 1111572593 | ISBN-13: 9781111572594)

List Price = $12.95  | CengageBrain Price = $12.49  | College Bookstore Wholesale Price = $9.25


Precalculus: Mathematics for Calculus (High School Edition)  (ISBN-10: 1111428743 | ISBN-13: 9781111428747)

This best selling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, providing students with a solid foundation in the principles of mathematical thinking. Comprehensive and evenly paced, the book provides complete coverage of the function concept, and integrates a significant amount of graphing calculator material to help students develop insight into mathematical ideas. The authors' attention to detail and clarity, the same as found in James Stewart's market-leading Calculus text, is what makes this text the market leader.

List Price = $148.95  | College Bookstore Wholesale Price = $110.00


Enhanced WebAssign Single-Term LOE Instant Access for Pre-Calculus and College Algebra  (ISBN-10: 128585831X | ISBN-13: 9781285858319)

IMPORTANT: When purchasing this instant access code for Pre-Calculus & College Algebra, ensure that you are using it in one of the following courses: College Algebra, Trigonometry, Algebra and Trigonometry or Precalculus. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If you need to retake the course and your instructor is using the same book AND edition then you will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your instructor.

List Price = $65.00  | CengageBrain Price = $65.00  | College Bookstore Wholesale Price = $65.00


Meet the Author

About the Author

James Stewart

James Stewart received his M.S. from Stanford University and his Ph.D. from the University of Toronto. He did research at the University of London and was influenced by the famous mathematician George Polya at Stanford University. Stewart is currently Professor of Mathematics at McMaster University, and his research field is harmonic analysis. Stewart is the author of a best-selling calculus textbook series published by Cengage Learning Brooks/Cole, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS, and CALCULUS: CONCEPTS AND CONTEXTS, as well as a series of precalculus texts.

Lothar Redlin

Lothar Redlin grew up on Vancouver Island, received a Bachelor of Science degree from the University of Victoria, and a Ph.D. from McMaster University in 1978. He subsequently did research and taught at the University of Washington, the University of Waterloo, and California State University, Long Beach. He is currently Professor of Mathematics at The Pennsylvania State University, Abington Campus. His research field is topology.

Saleem Watson

Saleem Watson received his Bachelor of Science degree from Andrews University in Michigan. He did graduate studies at Dalhousie University and McMaster University, where he received his Ph.D. in 1978. He subsequently did research at the Mathematics Institute of the University of Warsaw in Poland. He also taught at The Pennsylvania State University. He is currently Professor of Mathematics at California State University, Long Beach. His research field is functional analysis.

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