•The text presents a concise approach to calculus for instructors who want to focus on essential principles and who feel no need for frills.
•Brevity is achieved through condensed exposition, fewer examples in some sections, fewer technology and conceptual problems, and fewer appendixes. Problems Plus and Projects have been moved to the author's website at www.stewartcalculus.com.
•Certain topics, for example, the treatment of the integral and the remainder term in Taylor Series, are presented in a manner that is more traditional than in Stewart's other books.
•The text presents exponential, logarithmic, and inverse trigonometric functions late, with the logarithm defined as an integral. Instructors wishing to cover such functions earlier should consider ESSENTIAL CALCULUS: EARLY TRANSCENDENTALS, 2e, International Metric Edition.
•Each chapter ends with a comprehensive review that includes a true/false quiz, Concept Check Questions, and exercises for every topic covered in the chapter.
•Tools for Enriching Calculus—a free, online, interactive resource that allows Calculus students to work with animations that deepen their understanding by helping them visualize the concepts they are learning—has been updated with new problems and a new Flash design that is more visually appealing and engaging. Written and narrated by James Stewart, these assignable animations are also integrated into Cengage YouBook, and many are available directly to students at www.stewartcalculus.com.
•For the convenience of instructors who wish to cover additional material, the www.stewartcalculus.com website contains: Review of Algebra, Trigonometry, Analytic Geometry, and Conic Sections; Additional Examples; Projects; Archived Problems (drill exercises from Stewart's other books) with solutions; Challenge Problems; Lies My Calculator and Computer Told Me, and more.
•Additional topics (with exercises) available at www.stewartcalculus.com include Principles of Problem Solving, Strategy for Integration, Strategy for Testing Series, Fourier Series, Area of a Surface of Revolution, Linear Differential Equations, Second Order Linear Differential Equations, Nonhomogeneous Linear Equations, Applications of Second Order Differential Equations, Using Series to Solve Differential Equations, Complex Numbers, and Rotation of Axes. Links to outside web resources and the History of Mathematics, with links to historical websites, are also available at the site.
New to this Edition
•The book begins with four diagnostic tests in Basic Algebra, Analytic Geometry, Functions, and Trigonometry. These tests address the gaps in many students' prerequisite skills—and help them start the course with confidence—by giving them opportunities to get up to speed or brush up.
•Some material has been rewritten for greater clarity or for better motivation.
•Based on reviewers' suggestions, a new section on surface area has been added to Chapter 7, "Applications of Integration."
•Updated data in examples and exercises assures that the book maintains its currency and relevance.
•More than 35% of the exercises are new, providing instructors with new assignment options, and students with an abundance of practice opportunities.
•Enhanced WebAssign® for Stewart's ESSENTIAL CALCULUS, 2E, International Metric Edition -is enhanced with new features and functions. These include Enhanced Feedback for incorrect problems, Visualizing Calculus modules and animations, Lecture Video Problems, and a Show Your Work feature that gives you the option of seeing students' detailed solutions. Plus, Cengage YouBook, a Flash-based eBook version of the text that is interactive and customizable, is fully integrated into Enhanced WebAssign.
1. FUNCTIONS AND LIMITS
3. APPLICATIONS OF DIFFERENTIATION
5. INVERSE FUNCTIONS
6. TECHNIQUES OF INTEGRATION
7. APPLICATIONS OF INTEGRATION
9. PARAMETRIC EQUATIONS AND POLAR COORDINATES
10. VECTORS AND THE GEOMETRY OF SPACE
11. PARTIAL DERIVATIVES
12. MULTIPLE INTEGRALS
13. VECTOR CALCULUS
Appendix A. Trigonometry
Appendix B. Sigma Notation
Appendix C. Proofs
Appendix D. Answers to Odd-Numbered Exercises