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Precalculus: Mathematics for Calculus 5th Edition

James Stewart, Lothar Redlin, Saleem Watson

  • Published
  • Previous Editions 2002, 1998, 1998
  • 1056 Pages
Starting At 100.00 See pricing and ISBN options

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, so that when students finish the course, they have a solid foundation in the principles of mathematical thinking. This comprehensive, evenly paced book provides complete coverage of the function concept and integrates substantial graphing calculator materials that help students develop insight into mathematical ideas. The authors' attention to detail and clarity, as in James Stewart's market-leading Calculus text, is what makes this text the market leader.

James Stewart, McMaster University

The late 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 was most recently Professor of Mathematics at McMaster University, and his research field was harmonic analysis. Stewart was the author of a bestselling calculus textbook series published by Cengage, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS, and CALCULUS: CONCEPTS AND CONTEXTS, as well as a series of precalculus texts.

Lothar Redlin, Pennsylvania State University, Abington Campus

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, California State University, Long Beach

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.
  • All of the chapters (other than Chapter 1) are now followed by a "Focus on Modeling" section. Chapter 1 is now the only chapter to be followed by a "Problem Solving" section.
  • This edition includes several new Discovery Projects, for example the Discovery Project in 2.2 on "Relations and Functions," which was added to satisfy those users who asked for some material on relations.
  • More than 20% of the exercises are new, including many more application exercises. Many others have been updated and revised.
  • Each chapter now begins with a one-page "Chapter Overview" to introduce the ideas of the chapter and indicate how they can be applied to the real world.
  • There are six new "Focus on Modeling" sections, containing high-interest applications ranging from surveying to architecture.
  • Each exercise section now contains a special group heading for "Applications" exercises, to give these more prominence and to make them easier to assign. Each such exercise has a title to clarify its purpose at a glance.
  • One of the very long chapters (Chapter 7, Analytic Trigonometry) has been shortened, and the extra material from it, plus some related sections from the Analytic Geometry chapter (previously Chapter 9), have been combined into a new, more logically structured Chapter 8: Polar Coordinates and Vectors.
  • Based on reviewer feedback, the chapter on probability (formerly Chapter 11) was deleted. For those who want to use this chapter, it is available as a student resource on the Book Companion Website for the text (at www.brookscole.com/math).
  • "Focus On Modeling" sections illustrate modeling techniques as well as how precalculus 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 authors introduce the graphing calculator early, so it can be used to graph and solve equations prior to the introduction of functions. Material that deals with graphing devices is labeled with an icon so that those who prefer not to use the graphing calculator can easily skip this material.
  • The chapters on trigonometry have been 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 problems at the end of every section encourage conceptual, critical thinking, and writing skills.
  • Special projects are included in each chapter to engage students and make them active learners by having them work (perhaps in groups) on extended projects that give a feeling of substantial accomplishment when completed.
  • 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 given at the back of the book.
  • This edition is fully supported with iLrn�. Providing instructors and students with unsurpassed control, variety, and all-in-one utility, iLrn is a powerful and fully integrated teaching and learning system. iLrn ties together five fundamental learning activities: diagnostics, tutorials, homework, quizzing, and testing.
1. FUNDAMENTALS.
Overview. Real Numbers. Exponents and Radicals. Algebraic Expressions. Discovery Project: Visualizing a Formula. Fractional Expressions. Equations. Modeling with Equations. Discovery Project: Equations through the Ages. Inequalities. Coordinate Geometry. Graphing Calculators: Solving Equations and Inequalities Graphically. Lines. Modeling Variation. Review. Test. Focus on Problem Solving: General Principles.
2. FUNCTIONS.
Overview. What is a Function? Graphs of Functions. Discovery Project: Relations and Functions. Increasing and Decreasing Functions: Average Rate of Change. Transformations of Functions. Quadratic Functions: Maxima and Minima. Modeling with Functions. Combining Functions.Discovery. Project: Iteration and Chaos. One-to-One Functions and Their Inverses Review. Test. Focus on Modeling: Fitting Lines to Data.
3. POLYNOMIAL AND RATIONAL FUNCTIONS.
Overview. Polynomial Functions and Their Graphs. Dividing Polynomials. Real Zeros of Polynomials. Discovery Project: Zeroing in on a Zero. Complex Numbers. Complex Zeros and the Fundamental Theorem of Algebra. Rational Functions. Review. Test. Focus on Modeling: Fitting Polynomials to Data.
4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Overview. Exponential Functions. Discovery Project: Exponential Explosion. Logarithmic Functions. Laws of Logarithms. Exponential and Logarithmic Equations. Modeling with Exponential and Logarithmic Functions. Review. Test. Focus on Modeling: Fitting Exponential and Power Curves to Data.
5. TRIGONOMETIC FUNCTIONS OF ANGLES.
Overview. The Unit Circle. Trigonometric Functions of Real Numbers. Trigonometric Graphs. Discovery Project: Predator-Prey Models. More Trigonometric Graphs. Modeling Harmonic Motion. Review. Test. Focus on Modeling: Fitting Sinusoidal Curves to Data.
6. TRIGONOMETRIC FUNCTIONS OF ANGLES.
Overview. Angle Measure. Trigonometry of Right Triangles. Discovery Project: Similarity. Trigonometric Functions of Angles. The Law of Sines. The Law of Cosines. Review. Test. Focus on Modeling:Surveying.
7. ANALYTIC TRIGONOMETRY.
Overview. Trigonometric Identities. Addition and Subtraction Formulas. Double-Angle, Half-Angle, and Sum-Product Identities. Inverse Trigonometric Functions. Discovery Project: Where to Sit at the Movies. Trigonometric Equations. Review. Test. Focus on Modeling: Traveling and Standing Waves.
8. POLAR COORDINATES AND VECTORS.
Overview. Polar Coordinates. Graphs of Polar Equations. Polar Form of Complex Numbers; DeMoivre''s Theorem. Discovery Project: Fractals. Vectors. The Dot Product. Discovery Project: Sailing Against the Wind. Review. Test. Focus on Modeling: Mapping the World.
9. SYSTEMS OF EQUATIONS AND INEQUALITIES.
Overview. Systems of Equations. Systems of Linear Equations in Two Variables. Systems of Linear Equations in Several Variables. Discovery Project: Best Fit versus Exact Fit. Systems of Linear Equations: Matrices. The Algebra of Matrices. Discovery Project: Will the Species Survive? Inverses of Matrices and Matrix Equations. Discovery Project: Computer Graphics I. Determinants and Cramer''s Rule. Partial Fractions. Systems of Inequalities. Review. Test. Focus on Modeling: Linear Programming.
10. ANALYTIC GEOMETRY.
Overview. Parabolas. Ellipses. Hyperbolas. Discovery Project: Conics in Architecture Shifted Conics. Rotation of Axes. Discovery Project: Computer Graphics II. Polar Equations of Conics. Plane Curves and Parametric Equations. Review. Test. Focus on Modeling: The Path of a Projectile.
11. SEQUENCES AND SERIES.
Overview. Sequences and Summation Notation. Arithmetic Sequences. Geometric Sequences. Discovery Project: Finding Patterns. Mathematical Finance. Mathematical Induction. The Binomial Theorem. Review. Test. Focus on Modeling: Modeling with Recursive Sequences.
12. LIMITS: A PREVIEW OF CALCULUS.
Overview. Finding Limits Numerically and Graphically. Finding Limits Algebraically. Tangent Lines and Derivatives. Discovery Project: Designing a Roller Coaster. Limits at Infinity: Limits of Sequences. Areas. Review. Test. Focus on Modeling: Interpretations of Area.
Answers to Odd-Numbered Exercises and Chapter Tests.
Index.
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Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

FOR INSTRUCTORS

Complete Solutions Manual

ISBN: 9780534493165
The complete solutions manual provides worked out solutions to all of the problems in the text.

ExamView (Windows/Macintosh)

ISBN: 9780495019947
Create, deliver, and customize tests and study guides (both print and online) in minutes with this easy-to-use assessment and tutorial system. ExamView offers both a Quick Test Wizard and an Online Test Wizard that guide you step-by-step through the process of creating tests, while the unique "WYSIWYG" capability allows you to see the test you are creating on the screen exactly as it will print or display online. You can build tests of up to 250 questions using up to 12 question types. Using ExamView's complete word processing capabilities, you can enter an unlimited number of new questions or edit existing questions. ExamView is a registered trademark of FSCreations, Inc. Used herein under license.

Student Solutions Manual

ISBN: 9780534492908
The student solutions manual provides worked out solutions to the odd-numbered problems in the text.

Study Guide

ISBN: 9780534492892
Reinforces student understanding with detailed explanations, worked-out examples, and practice problems. Lists key ideas to master and builds problem-solving skills. There is a section in the Study Guide corresponding to each section in the text.

CengageNOW on Blackboard Instant Access Code

ISBN: 9780495389521

Instructor's Package

ISBN: 9780495318033

Solution Builder Online

ISBN: 9780495108207

Videos

ISBN: 9780534493097
This set of videotapes is available free upon adoption of the text. Each tape offers one chapter of the text and is broken down into 10- to 20-minute problem-solving lessons that cover each section of the chapter.

Instructor's Guide

ISBN: 9780534493004
The instructor's guide contains points to stress, suggested time to allot, text discussion topics, core materials for lecture, workshop/discussion suggestions, group work exercises in a form suitable for handout, and suggested homework problems.

Annotated Instructor's Edition (K-12)

ISBN: 9780495557050

FOR STUDENTS

Student Solutions Manual

ISBN: 9780534492908
The student solutions manual provides worked out solutions to the odd-numbered problems in the text.

Study Guide

ISBN: 9780534492892
You will have no trouble succeeding with the Study Guide for PRECALCULUS MATHEMATICS FOR CALCULUS. It is packed with detailed explanations, worked-out examples, and practice problems - with the corresponding text and study guide sections you will stay right on track!

CengageNOW on Blackboard Instant Access Code

ISBN: 9780495389521
CengageNOW is an easy-to-use online resource that helps you study in less time to get the grade you want.