Table of Contents Ancillaries Chapter-by-Chapter Changes Book Web Site

Calculus, 4/e exhibits the same strengths from earlier editions including the Rule of Four, an emphasis on modeling, exposition that students can read and understand, and a flexible approach to technology. The conceptual and modeling problems, praised for their creativity and variety, continue to motivate and challenge students.

New Features

  • Throughout the chapters, problems and exercises have been reorganized and hundreds of new problems and exercises have been added.
  • Chapter 1: The chapter now ends with a section on limits (formerly section 2.2). This allows a fuller discussion of continuity, both on an interval and at a point.
  • Chapter 2: Some material has been reorganized. The material on limits and the discussion of continuity formerly in section 2.7 has been moved to the end of Chapter 1. The discussion of concavity in section 2.6 has been revised and now has a box that says explicitly "that if the graph of f is concave up, we can only conclude that f" is nonnegative."
  • Chapter 3: The coverage of the chain rule has been expanded and revised, and includes more multi-step chain rule problems and examples, including more on doing chain rule without intermediate variables. The chain rule section appears in chapter 3 and is followed by a new section applying the chain rule to finding the derivatives of inverse functions.
  • Chapter 3: Estimation of error has been added to Section 3.9 to foreshadow Taylor polynomials. There is now an example and box in 3.9 examining an error formula for local linearization, along with a sequence of calculator exercises exploring this formula, with forward reference to Taylor polynomials.
  • Chapter 3: Hyperbolic functions are now treated at the end of chapter 3; many problems involving hyperbolic functions have been added here, and elsewhere in the text.
  • Chapter 4: A new section in chapter 4 is devoted to related rates, with dozens of new problems and exercises. More optimization problems have been added. The treatment of l’Hopital’s rule has been moved from Chapter 3 to this chapter and expanded. The problem set for L'Hôpital's rule includes more challenging and different types of problems. The material on parametric equations has been moved to this chapter from Chapter 3 and expanded to include concavity of parametric curves.
  • Chapter 5: This chapter has been reorganized and rewritten to clarify the Fundamental Theorem of Calculus, viewed as the integral rate of change giving the total change. There is also new material on area between curves. More problems using the Fundamental Theorem have been added to Section 5.4.
  • Chapter 8: There is a new section on area, arc length, and slope for curves in polar coordinates, including the former Appendix B on polar coordinates. Many of the problems and exercises in this section are new.
  • Chapter 9: This chapter on series has been has been extensively expanded and rewritten. There is a new section at the beginning on sequences, including recursively defined sequences and a more detailed discussion of convergence for bounded sequences. Nearly all the problems and exercises in this section are new. The chapter now includes p-series and the limit comparison test, with numerous examples, and a discussion of conditional convergence. The chapter discusses in more detail interval of convergence versus radius of convergence (with more attention to convergence at the end points). There are many, many new problems and exercises (well over a hundred).
  • Chapter 10: Section 10.4 on the Lagrange error bound for Taylor polynomials has been revised.
  • Chapter 11: There is a new project on the 2003 SARS outbreak.
 

Supplements

 
  • Student Solutions Manual 0-471-65995-9 The Student Solutions Manual contains solutions to every other odd-numbered problem in the text for Chapters 1-20.
  • Instructor's Manual 0-471-66000-0 The Instructor's Manual contains teaching tips for Chapters 1-20.
  • Test Bank 0-471-66001-9 The Test Bank contains test questions for Chapters 1-20.
  • Instructor's Solutions Manual 0-471-66004-3 The Instructor's Solutions Manual contains solutions to every problem from the text for Chapters 1-20.
  • Instructor's Resource CD The IRCD contains electronic files of all of the supplements that accompany the combo version of the text.
  • eGrade Plus eGrade Plus is a powerful online tool that provides intstructors and students with an integrated suite of teaching and learning resources, including an online version of the text, in one easy-to-use website. To learn more about eGrade Plus, and view a demo, please visit www.wiley.com/college/egradeplus.
  • Student Solutions Manual 0-471-65995-9 The Student Solutions Manual contains solutions to every other odd-numbered problem in the text for Chapters 1-20.
  • Test Bank 0-471-66001-9 The Test Bank contains test questions for Chapters 1-20.