Higher Education

Multivariable Calculus, 10th Edition

  • Ron Larson The Pennsylvania State University, The Behrend College
  • Bruce H. Edwards University of Florida
  • ISBN-10: 1285060296  |  ISBN-13: 9781285060293
  • 480 Pages
  • Previous Editions: 2010, 2006, 2002
  • © 2014 | Published
  • College Bookstore Wholesale Price = $210.75
  • Newer Edition Available
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About

Overview

The Larson Calculus program has a long history of innovation in the calculus market. It has been widely praised by a generation of students and professors for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.

Features and Benefits

  • REVISED Remarks - To eliminate any possible confusion, all Study Tips and Notes have been combined into one feature, Remarks. These hints and tips can be used to reinforce or expand upon concepts, help you learn how to study mathematics, caution you about common errors, address special cases, or show alternative or additional steps to a solution of an example.
  • REVISED Exercise Sets - The exercise sets have been carefully and extensively examined to ensure they are rigorous, relevant, and cover all topics suggested by our users. The exercises have been reorganized and titled so you can better see the connections between examples and exercises. Multi-step, real-life exercises reinforce problem-solving skills and mastery of concepts by giving you the opportunity to apply the concepts in real-life situations. Putnam Exam questions to push the limits of students’ understanding of calculus. Graphing technology exercises for students to make us of a graphing utility to help find solutions.
  • Second Order Differential Equations: Available online, this chapter delves into second order differential equations. This will greatly help engineering and math majors.
  • Enhanced WebAssign Course: The Larson EWA course has over 3,900 textbook questions which have been drawn from the book, and offer more coverage of problems and topics than most online homework programs for Calculus. The EWA course for Larson CALCULUS will present numerous section-level video lessons by Dana Mosely and animated tutorials. In addition to these assets, the course includes exercise-level features: Read It, Watch It, Master It, and Chat About It links. These tools benefit students with varied learning styles to ensure they get the most out of their online learning experience.
  • Graded Homework Exercises— Online homework and tests are evaluated using powerful Maple software to ensure mathematical accuracy. Instructors control point values, weighting grades, and whether of not an item is graded. An electronic gradebook helps instructors manage course information easily and can be exported to other files, such as Excel.
  • CAS Investigation: Many examples throughout the book are accompanied by CAS Investigations. These are collaborative investigations using a computer algebra system (e.g., Maple) to further explore the related example. CAS Investigations are located online and in the Multimedia eBook.
  • Writing Style: Simple, mathematically precise instruction and directions are clear and easy to understand for students.
  • Linked Examples and Exercises: The Larson program has long been recognized as offering many more examples than most calculus texts. Examples are broken down into critical steps, with careful use of color and design to emphasize the process. Each is linked to problems in the exercise sets, giving students a way to learn or review material as they do their homework.
  • Instructor Resource Guide w/Solutions—The instructor's resource contains an abundance of resources keyed to the textbook by chapter and section, including chapter summaries, teaching strategies, multiple versions of chapter tests, final exams, gateway tests, and suggested solutions to the Chapter Openers, Explorations, Section Projects, and Technology features in the text.

Table of Contents

11. VECTORS AND THE GEOMETRY OF SPACE.
Vectors in the Plane. Space Coordinates and Vectors in Space. The Dot Product of Two Vectors. The Cross Product of Two Vectors in Space. Lines and Planes in Space. Section Project: Distances in Space. Surfaces in Space. Cylindrical and Spherical Coordinates. Review Exercises. P.S. Problem Solving.
12. VECTOR-VALUED FUNCTIONS.
Vector-Valued Functions. Section Project: Witch of Agnesi. Differentiation and Integration of Vector-Valued Functions. Velocity and Acceleration. Tangent Vectors and Normal Vectors. Arc Length and Curvature. Review Exercises. P.S. Problem Solving.
13. FUNCTIONS OF SEVERAL VARIABLES.
Introduction to Functions of Several Variables. Limits and Continuity. Partial Derivatives. Section Project: Moiré Fringes. Differentials. Chain Rules for Functions of Several Variables. Directional Derivatives and Gradients. Tangent Planes and Normal Lines. Section Project: Wildflowers. Extrema of Functions of Two Variables. Applications of Extrema of Functions of Two Variables. Section Project: Building a Pipeline. Lagrange Multipliers. Review Exercises. P.S. Problem Solving.
14. MULTIPLE INTEGRATION.
Iterated Integrals and Area in the Plane. Double Integrals and Volume. Change of Variables: Polar Coordinates. Center of Mass and Moments of Inertia. Section Project: Center of Pressure on a Sail. Surface Area. Section Project: Capillary Action. Triple Integrals and Applications. Triple Integrals in Cylindrical and Spherical Coordinates. Section Project: Wrinkled and Bumpy Spheres. Change of Variables: Jacobians. Review Exercises. P.S. Problem Solving.
15. VECTOR ANALYSIS.
Vector Fields. Line Integrals. Conservative Vector Fields and Independence of Path. Green's Theorem. Section Project: Hyperbolic and Trigonometric Functions. Parametric Surfaces. Surface Integrals. Section Project: Hyperboloid of One Sheet. Divergence Theorem. Stokes's Theorem. Review Exercises. Section Project: The Planimeter. P.S. Problem Solving.
16. SECOND ORDER DIFFERENTIAL EQUATIONS* ONLINE.
Exact First-Order Equations. Second-Order Homogeneous Linear Equations. Second-Order Nonhomogeneous Linear Equations. Series Solutions of Differential Equations. Review Exercises. P.S. Problem Solving.
APPENDIX.
A. Proofs of Selected Theorems.
B. Integration Tables.
C. Precalculus Review (Web).
C.1 Real Numbers and the Real Number Line. C.2 The Cartesian Plane. C.3 Review of Trigonometric Functions.
D. Rotation and the General Second-Degree Equation (Web).
E. Complex Numbers (Web).
F. Business and Economic Applications (Web).

What's New

  • NEW Chapter Openers - Each Chapter Opener highlights five real-life applications of calculus found throughout the chapter. The applications reference the examples or exercises featured. You can find a full listing of the applications in the Index of Applications.
  • NEW HOW DO YOU SEE IT? Exercise - The How Do You See It? exercise in each section presents a problem that you will solve by visual inspection using the concepts learned in the lesson.
  • NEW LarsonCalculus.com - We’ve created a free website hosting valuable resources. At this website, you can access the following: Proof Videos – Watch co-author Bruce Edwards present theorems and explain their proofs. Calculus Videos – Watch Dana Mosely explain concepts of calculus. Interactive Examples – Explore examples using Wolfram’s free CDF player (plug-in required). Rotatable Graphs – View and rotate three-dimensional graphs using Wolfram’s free CDF player (plug-in required). Biographies – Read biographies of men and women who were instrumental in creating calculus. Web Appendices – Read the web-only appendices that accompany the text. Data Downloads – Use real data to solve problems.
  • Table of Contents Changes - We moved Appendix A (Proofs of Selected Theorems) to the website www.LarsonCalculus.com, which also includes videos of co-author Bruce Edwards explaining these proofs.

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.

Printed Text + Enhanced WebAssign Homework and eBook LOE Instant Access for Multi Term Math and Science

ISBN-10: 1285729188 | ISBN-13: 9781285729183

List Price = $306.95  | CengageBrain Price = $306.95  | College Bookstore Wholesale Price = $230.75

This Bundle Includes:

  • Multivariable Calculus
    List Price = $280.95  | CengageBrain Price = $280.95  | College Bookstore Wholesale Price = $210.75
  • Enhanced WebAssign Instant Access for Calculus, Multi-Term Courses
    List Price = $125.00  | CengageBrain Price = $125.00  | College Bookstore Wholesale Price = $125.00


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

CourseMate Instant Access  (ISBN-10: 1285095480 | ISBN-13: 9781285095486)

CourseMate is a perfect study tool for students, and requires no set up from instructors. CourseMate brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. CourseMate for Larson’s Calculus, 10e includes: an interactive eBook, animations, videos, quizzes, flashcards, and more! For instructors, CourseMate includes Engagement Tracker, a first-of-its kind tool that monitors student engagement.

List Price = $252.00  | CengageBrain Price = $252.00  | College Bookstore Wholesale Price = $252.00

PowerLecture with ExamView® and JoinIn™ Student Response System  (ISBN-10: 1285085833 | ISBN-13: 9781285085838)

This comprehensive instructor DVD includes resources such as electronic versions of the Instructor’s Resource Guide and Printed Test Bank, complete pre-built PowerPoint lectures, all art from the text in both jpeg and PowerPoint formats, ExamView® algorithmic computerized testing software, JoinIn™ content for audience response systems (clickers), and a link to Solution Builder.

Instructor's Resource Guide  (ISBN-10: 1285090748 | ISBN-13: 9781285090740)

This robust manual contains an abundance of instructor resources keyed to the textbook at the section and chapter level, including section objectives, teaching tips, and chapter projects. An electronic version of the Instructor Guide is available on the PowerLecture DVD.

Complete Solutions Manual, Chapters 11 - 16  (ISBN-10: 1285085809 | ISBN-13: 9781285085807)

This manual includes worked-out solutions to every exercise in Multivariable Calculus, 10e (Chapters 10-16 of Calculus, 10e).

Test Bank for Larson/Edwards’ Calculus, 10th  (ISBN-10: 1285090594 | ISBN-13: 9781285090597)

The printed test bank for Larson’s Calculus, 10e contains hundreds of multiple-choice test items.

Student Solutions Manual  (ISBN-10: 1285085752 | ISBN-13: 9781285085753)

Need a leg up on your homework or help to prepare for an exam? The Student Solutions Manual contains worked-out solutions for all odd-numbered exercises in Multivariable, 10e (Chapters 11- 16 of Calculus, 10e). It is a great resource to help you understand how to solve those tough problems.

List Price = $97.95  | CengageBrain Price = $97.95  | College Bookstore Wholesale Price = $73.50

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

CourseMate Instant Access  (ISBN-10: 1285095480 | ISBN-13: 9781285095486)

CourseMate is a perfect study tool for students. CourseMate brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. CourseMate for Larson’s Calculus, 10e includes: an interactive eBook, animations, videos, quizzes, flashcards, and more!

List Price = $252.00  | CengageBrain Price = $252.00  | College Bookstore Wholesale Price = $252.00

Student Solutions Manual  (ISBN-10: 1285085752 | ISBN-13: 9781285085753)

Need a leg up on your homework or help to prepare for an exam? The Student Solutions Manual contains worked-out solutions for all odd-numbered exercises in Multivariable, 10e (Chapters 11- 16 of Calculus, 10e). It is a great resource to help you understand how to solve those tough problems.

List Price = $97.95  | CengageBrain Price = $97.95  | College Bookstore Wholesale Price = $73.50

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

Ron Larson

Dr. Ron Larson is a professor of mathematics at The Pennsylvania State University, where he has taught since 1970. He received his Ph.D. in mathematics from the University of Colorado and is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson conducts numerous seminars and in-service workshops for math educators around the country about using computer technology as an instructional tool and motivational aid. He is the recipient of the 2014 William Holmes McGuffey Longevity Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, the 2014 Text and Academic Authors Association TEXTY Award for PRECALCULUS, the 2012 William Holmes McGuffey Longevity Award for CALCULUS: AN APPLIED APPROACH, and the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS (a complete text on CD-ROM that was the first mainstream college textbook to be offered on the Internet). Dr. Larson authors numerous textbooks including the best-selling Calculus series published by Cengage Learning.

Bruce H. Edwards

Dr. Bruce H. Edwards is Professor of Mathematics at the University of Florida. Professor Edwards received his B.S. in Mathematics from Stanford University and his Ph.D. in Mathematics from Dartmouth College. He taught mathematics at a university near Bogotá, Colombia, as a Peace Corps volunteer. While teaching at the University of Florida, Professor Edwards has won many teaching awards, including Teacher of the Year in the College of Liberal Arts and Sciences, Liberal Arts and Sciences Student Council Teacher of the Year, and the University of Florida Honors Program Teacher of the Year. He was selected by the Office of Alumni Affairs to be the Distinguished Alumni Professor for 1991–1993. Professor Edwards has taught a variety of mathematics courses at the University of Florida, from first-year calculus to graduate-level classes in algebra and numerical analysis. He has been a frequent speaker at research conferences and meetings of the National Council of Teachers of Mathematics. He has also coauthored a wide range of award winning mathematics textbooks with Professor Ron Larson.