Higher Education

Single Variable Calculus: Early Transcendentals, Volume II, 8th Edition

  • James Stewart McMaster University
  • ISBN-10: 1305270355  |  ISBN-13: 9781305270350
  • 540 Pages
  • Previous Editions: 2012, 2008, 2005
  • © 2016 | Published
  • College Bookstore Wholesale Price = $144.75
  *Why an online review copy?
  • It's the greener, leaner way to review! An online copy cuts down on paper and on time. Reduce the wait (and the weight) of printed texts. Your online copy arrives instantly, and you can review it anytime from your computer or favorite mobile device.

If you prefer a print copy to review, please contact your representative.

About

Overview

James Stewart's CALCULUS: EARLY TRANSCENDENTALS texts are widely renowned for their mathematical precision and accuracy, clarity of exposition, and outstanding examples and problem sets. Millions of students worldwide have explored calculus through Stewart's trademark style, while instructors have turned to his approach time and time again. In the Eighth Edition of SINGLE VARIABLE CALCULUS: EARLY TRANSCENDENTALS, Stewart continues to set the standard for the course while adding carefully revised content. The patient explanations, superb exercises, focus on problem solving, and carefully graded problem sets that have made Stewart's texts best-sellers continue to provide a strong foundation for the Eighth Edition. From the most unprepared student to the most mathematically gifted, Stewart's writing and presentation serve to enhance understanding and build confidence.

Features and Benefits

  • Four carefully crafted diagnostic tests in algebra, analytic geometry, functions, and trigonometry appear at the beginning of the text. These provide students with a convenient way to test their pre-existing knowledge and brush up on the skills they need to successfully begin the course. Answers are included, and students who need to improve will be referred to points in the text or on the book's website where they can seek help.
  • Stewart's writing style speaks clearly and directly to students, guiding them through key ideas, theorems, and problem-solving steps, and encouraging them to think as they read and learn.
  • Every concept is supported by thoughtfully worked examples—many with step-by-step explanations—and carefully chosen exercises. The quality of this pedagogical system is what sets Stewart's texts above others.
  • Examples are not only models for problem solving or a means of demonstrating techniques; they also encourage students to develop an analytic view of the subject. To provide further insight into mathematical concepts, many of these detailed examples display solutions that are presented graphically, analytically, and/or numerically. Margin notes expand on and clarify the steps of the solution.
  • The text's clean, user-friendly design provides a clear presentation of calculus. The art program, with its functional and consistent use of color, helps students identify and review mathematical concepts more easily.
  • The topic of Differential Equations is unified by the theme of modeling. Qualitative, numerical, and analytic approaches are given equal consideration.
  • Stewart draws on physics, engineering, chemistry, biology, medicine, and social science to motivate students and demonstrate the power of calculus as a problem-solving tool in a wide variety of fields.
  • Stewart's presentation repeatedly provides answers to the question, "When will I use this?" You'll find many examples of how calculus is used as a problem-solving tool in fields such as physics, engineering, chemistry, biology, medicine, and the social sciences.
  • Stewart's text offers an extensive collection of more than 8,000 quality exercises. Each exercise set is carefully graded, progressing from skill-development problems to more challenging problems involving applications and proofs. The wide variety of types of exercises includes many technology-oriented, thought-provoking, real, and engaging problems.
  • Conceptual exercises encourage the development of communication skills by explicitly requesting descriptions, conjectures, and explanations. These exercises stimulate critical thinking and reinforce the concepts of calculus.
  • A wealth of engaging projects reinforce concepts. "Writing Projects" ask students to compare present-day methods with those of the founders of calculus. "Discovery Projects" anticipate results to be discussed later. "Applied Projects" feature content that engages student interest and demonstrates the real-world use of mathematics. "Laboratory Projects" anticipate results to be discussed later or encourage discovery through pattern recognition.
  • Comprehensive review sections follow each chapter and further support conceptual understanding. A "Concept Check" and "True/False Quiz" allow students to prepare for upcoming tests through ideas and skill-building.
  • "Strategies" sections (based on George Polya's problem-solving methodology) help students select what techniques they'll need to solve problems in situations where the choice is not obvious, and help them develop true problem-solving skills and intuition.
  • Historical and biographical margin notes enliven the course and show students that mathematics was developed to help explain and represent natural phenomena.
  • Additional exercises have been added to the existing end-of-chapter collections of more challenging exercises called "Problems Plus." These sections reinforce concepts by requiring students to apply techniques from more than one chapter of the text, and by patiently showing them how to approach a challenging problem.

Table of Contents

5. INTEGRALS.
Areas and Distances. The Definite Integral. Discovery Project: Area Functions. The Fundamental Theorem of Calculus. Indefinite Integrals and the Net Change Theorem. Writing Project: Newton, Leibniz, and the Invention of Calculus. The Substitution Rule. Review. Problems Plus.
6. APPLICATIONS OF INTEGRATION.
Areas Between Curves. Applied Project: The Gini Index. Volume. Volumes by Cylindrical Shells. Work. Average Value of a Function. Applied Project: Calculus and Baseball. Applied Project: Where to Sit at the Movies. Review. Problems Plus.
7. TECHNIQUES OF INTEGRATION.
Integration by Parts. Trigonometric Integrals. Trigonometric Substitution. Integration of Rational Functions by Partial Fractions. Strategy for Integration. Integration Using Tables and Computer Algebra Systems. Discovery Project: Patterns in Integrals. Approximate Integration. Improper Integrals. Review. Problems Plus.
8. FURTHER APPLICATIONS OF INTEGRATION.
Arc Length. Discovery Project: Arc Length Contest. Area of a Surface of Revolution. Discovery Project: Rotating on a Slant. Applications to Physics and Engineering. Discovery Project: Complementary Coffee Cups. Applications to Economics and Biology. Probability. Review. Problems Plus.
9. DIFFERENTIAL EQUATIONS.
Modeling with Differential Equations. Direction Fields and Euler's Method. Separable Equations. Applied Project: How Fast Does a Tank Drain? Applied Project: Which is Faster, Going Up or Coming Down? Models for Population Growth. Linear Equations. Predator-Prey Systems. Review. Problems Plus.
10. PARAMETRIC EQUATIONS AND POLAR COORDINATES.
Curves Defined by Parametric Equations. Laboratory Project: Families of Hypocycloids. Calculus with Parametric Curves. Laboratory Project: Bézier Curves. Polar Coordinates. Laboratory Project: Families of Polar Curves. Areas and Lengths in Polar Coordinates. Conic Sections. Conic Sections in Polar Coordinates. Review. Problems Plus.
11. INFINITE SEQUENCES AND SERIES.
Sequences. Laboratory Project: Logistic Sequences. Series. The Integral Test and Estimates of Sums. The Comparison Tests. Alternating Series. Absolute Convergence and the Ratio and Root Tests. Strategy for Testing Series. Power Series. Representations of Functions as Power Series. Taylor and Maclaurin Series. Laboratory Project: An Elusive Limit. Writing Project: How Newton Discovered the Binomial Series. Applications of Taylor Polynomials. Applied Project: Radiation from the Stars. Review. Problems Plus.
APPENDIXES.
A Numbers, Inequalities, and Absolute Values. B Coordinate Geometry and Lines. C Graphs of Second-Degree Equations. D Trigonometry. E Sigma Notation. F Proofs of Theorems. G The Logarithm Defined as an Integral. H Complex Numbers. I Answers to Odd-Numbered Exercises.
INDEX.

What's New

  • The data in examples and exercises have been updated.
  • New examples have been added (see Examples 6.1.5, and 11.2.5, for instance), and the solutions to some of the existing examples have been amplified.
  • More than 20% of the exercises in each chapter are new. Here are some author favorites: 5.1.19-20, 5.1.67-68, 5.4.70, 6.1.51, 7.4.67, 8.1.39.

Learning Resource Bundles

Choose the textbook packaged with the resources that best meet your course and student needs. Contact your Learning Consultant for more information.

Bundle: Text + Enhanced WebAssign Printed Access Card for Calculus, Multi-Term Courses

ISBN-10: 1305607813  | ISBN-13: 9781305607811

List Price = $218.95  | College Bookstore Wholesale Price = $164.75

This Bundle Includes:

  • Enhanced WebAssign Printed Access Card for Calculus, Multi-Term Courses, Life of Edition
    List Price = $125.00  | College Bookstore Wholesale Price = $93.75
  • Single Variable Calculus: Early Transcendentals, Volume II
    List Price = $192.95  | CengageBrain Price = $192.95  | College Bookstore Wholesale Price = $144.75


Printed Text, Vol II + Enhanced WebAssign, 2 terms (12 months) Instant Access for Calculus

ISBN-10:  1305710029 | ISBN-13:  9781305710023

List Price = $218.95  | CengageBrain Price = $218.95  | College Bookstore Wholesale Price = $164.75

This Bundle Includes:

  • Enhanced WebAssign Instant Access for Calculus, Multi-Term Courses
    List Price = $125.00  | CengageBrain Price = $125.00  | College Bookstore Wholesale Price = $125.00
  • Single Variable Calculus: Early Transcendentals, Volume II
    List Price = $192.95  | CengageBrain Price = $192.95  | College Bookstore Wholesale Price = $144.75


Supplements

All supplements have been updated in coordination with the main title. Select the main title's "About" 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.

Instructor Supplements

Complete Solutions Manual, Chapters 1-22 (SV: ET)  (ISBN-10: 1305272390 | ISBN-13: 9781305272392)

This manual contains solutions to all exercises from the text. This manual can be found on the Instructors Companion Site.

Online Instructor’s Guide  (ISBN-10: 1305393716 | ISBN-13: 9781305393714)

Each section of the text is discussed from several viewpoints. The Instructor’s Guide contains suggested time to allot, points to stress, text discussion topics, core materials for lecture, workshop/discussion suggestions, group work exercises in a form suitable for handout, and suggested homework assignments.

Test Bank  (ISBN-10: 1305387228 | ISBN-13: 9781305387225)

Contains text-specific multiple-choice and free response test items

Cengage Learning Testing, powered by Cognero Instant Access  (ISBN-10: 1305393805 | ISBN-13: 9781305393806)

Cengage Learning Testing Powered by Cognero is a flexible, online system that allows you to author, edit, and manage test bank content; create multiple test versions in an instant; and deliver tests from your LMS, your classroom or wherever you want. This is available online via your SSO account at login.cengage.com.

Student Solutions Manual  (ISBN-10: 1305272420 | ISBN-13: 9781305272422)

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.

List Price = $98.95  | CengageBrain Price = $98.95  | College Bookstore Wholesale Price = $74.25

Study Guide  (ISBN-10: 130527914X | ISBN-13: 9781305279148)

For each section of the text, the Study Guide provides students with a brief introduction, a short list of concepts to master, as well as summary and focus questions with explained answers. The Study Guide also contains "Technology Plus" questions, and multiple-choice "On Your Own" exam-style questions.

List Price = $105.95  | CengageBrain Price = $105.95  | College Bookstore Wholesale Price = $79.50

Enhanced WebAssign Instant Access for Calculus, Multi-Term Courses  (ISBN-10: 1285858255 | ISBN-13: 9781285858258)

IMPORTANT: When purchasing this instant access code for Calculus, ensure that you are using it in a Calculus course. 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.

List Price = $125.00  | CengageBrain Price = $125.00  | College Bookstore Wholesale Price = $125.00

Enhanced WebAssign Printed Access Card for Calculus, Multi-Term Courses, Life of Edition  (ISBN-10: 1285858263 | ISBN-13: 9781285858265)

IMPORTANT: When purchasing this printed access card for Calculus, ensure that you are using it in a Calculus course. 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. If you are not certain this is the correct access code for your course, please contact your Cengage Learning Consultant.

List Price = $125.00  | College Bookstore Wholesale Price = $93.75

Student Supplements

Student Solutions Manual  (ISBN-10: 1305272420 | ISBN-13: 9781305272422)

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.

List Price = $98.95  | CengageBrain Price = $98.95  | College Bookstore Wholesale Price = $74.25

Study Guide  (ISBN-10: 130527914X | ISBN-13: 9781305279148)

For each section of the text, the Study Guide provides students with a brief introduction, a short list of concepts to master and summary and focus questions with explained answers. The Study Guide also contains "Technology Plus" questions and multiple-choice "On Your Own" exam-style questions.

List Price = $105.95  | CengageBrain Price = $105.95  | College Bookstore Wholesale Price = $79.50

Enhanced WebAssign Instant Access for Calculus, Multi-Term Courses  (ISBN-10: 1285858255 | ISBN-13: 9781285858258)

IMPORTANT: When purchasing this instant access code for Calculus, ensure that you are using it in a Calculus course. 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 = $125.00  | CengageBrain Price = $125.00  | College Bookstore Wholesale Price = $125.00

Enhanced WebAssign Printed Access Card for Calculus, Multi-Term Courses, Life of Edition  (ISBN-10: 1285858263 | ISBN-13: 9781285858265)

IMPORTANT: When purchasing this printed access card for Calculus, ensure that you are using it in a Calculus course. 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. If you are not certain this is the correct access code for your course, please contact your instructor.

List Price = $125.00  | College Bookstore Wholesale Price = $93.75

Meet the Author

Author Bio

James Stewart

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 best-selling calculus textbook series published by Cengage Learning, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS, and CALCULUS: CONCEPTS AND CONTEXTS, as well as a series of precalculus texts.