Acknowledgments

Printed Page xi

Ensuring the mathematical rigor, accuracy, and precision, as well as the complete coverage and clear language that we have strived for with this text, requires not only a great deal of time and effort on our part, but also on the part of an entire team of exceptional reviewers. First and foremost, Tony Palermino has provided exceptional editorial advice throughout the long development process. Mark Grinshpon has been invaluable for his mathematical insights, analytical expertise, and sheer dedication to the project; without his contributions, the text would be greatly diminished. The following people have also provided immeasurable support reading drafts of chapters and offering insight and advice critical to the success of this textbook:

James Brandt, University of California, Davis

William Cook, Appalachian State University

Mark Grinshpon, Georgia State University

Karl Havlak, Angelo State University

Steven L. Kent, Youngstown State University

Stephen Kokoska, Bloomsburg University of Pennsylvania

Larry Narici, St. Johns University

Frank Purcell, Twin Prime Editorial

William Rogge, University of Nebraska, Lincoln

In addition, we have had a host of individuals checking exercises at every stage of the text to ensure that they are accurate, interesting, and appropriate for a wide range of students:

Nick Belloit, Florida State College at Jacksonville

Jennifer Bowen, The College of Wooster

Brian Bradie, Christopher Newport University

James Bush, Waynesburg University

Deborah Carney, Colorado School of Mines

Julie Clark, Hollins University

Adam Coffman, Indiana University-Purdue University, Fort Wayne

Alain D’Amour, Southern Connecticut State University

John Davis, Baylor University

Amy H. Lin Erickson, Georgia Gwinnett College

Judy Fethe, Pellissippi State Community College

Tim Flaherty, Carnegie Mellon University

Melanie Fulton

Jeffery Groah, Lone Star College

Karl Havlak, Angelo State University

Donald Larson, Penn State Altoona

Peter Lampe, University of Wisconsin-Whitewater

Denise LeGrand, University of Arkansas, Little Rock

Serhiy Levkov and his team

Benjamin Levy, Wentworth Institute of Technology

Roger Lipsett, Brandeis University

Aihua Liu, Montclair State University

Joanne Lubben, Dakota Weslyan University

Betsy McCall, Columbus State Community College

Will Murray, California State University, Long Beach

Vivek Narayanan, Rochester Institute of Technology

Nicholas Ormes, University of Denver

Chihiro Oshima, Santa Fe College

Vadim Ponomarenko, San Diego State University

John Samons, Florida State College at Jacksonville

Ned Schillow, Carbon Community College

Andrew Shulman, University of Illinois at Chicago

Mark Smith, Miami University

Timothy Trenary, Regis University

Kiryl Tsishchanka and his team

Marie Vanisko, Carroll College

David Vinson, Pellissippi Community College

Bryan Wai-Kei, University of South Carolina, Salkehatchie

Lianwen Wang, University of Central Missouri

Kerry Wyckoff, Brigham Young University

Because the student is the ultimate beneficiary of this material, we would be remiss to neglect their input. We would like to thank students from the following schools who have provided us with feedback and suggestions for exercises throughout the text:

Barry University

California State University–Bakersfield

Catholic University

Colorado State University

Lamar University

Murray State University

North Park University

University of North Texas

University of South Florida

Southern Connecticut State University

St. Norbert College

State University of West Georgia

Texas State University–San Marcos

Towson State University

University of Maryland

Aside from commenting on exercises, a number of the applied exercises in the text were contributed by students. Although we were not able to use all of the submissions, we would like to thank all of the students who took the time and effort to participate in this project:

Boston University

Bronx Community College

Idaho State University

Lander University

Minnesota State University

Millikin University

University of Missouri—St. Louis

University of North Georgia

Trine University

University of Wisconsin—River Falls

Additional applied exercises, as well as many of the case study and chapter projects that open and close each chapter of this text were contributed by a team of creative individuals. Wayne Anderson, in particular, authored applied problems for every chapter in the text and made himself available as a consultant at every request. We would like to thank all of our exercise contributors for their work on this vital and exciting component of the text:

Wayne Anderson, Sacramento City College (Physics)

Allison Arnold, University of Georgia (Mathematics)

Kevin Cooper, Washington State University (Mathematics)

Adam Graham-Squire, High Point University (Mathematics)

Sergiy Klymchuk, Auckland University of Technology (Mathematics)

Eric Mandell, Bowling Green State University (Physics and Astronomy)

Eric Martell, Millikin University (Physics and Astronomy)

Barry McQuarrie, University of Minnesota, Morris (Mathematics)

Rachel Renee Miller, Colorado School of Mines (Physics)

Kanwal Singh, Sarah Lawrence College (Physics)

John Travis, Mississippi College (Mathematics)

Gordon Van Citters, National Science Foundation

Additional contributions to the writing of this text came from William Cook of Appalachian State University, who contributed greatly to the parametric surfaces and surface integrals section of Chapter 15, and to John Mitchell of Clark College, who provided recommendations and material to help us better integrate technology into each chapter of the text.

We would like to thank the dozens of instructors who provided invaluable input as reviewers of the manuscript and exercises and focus groups participants throughout the development process:

Marwan A. Abu-Sawwa, University of North Florida

Jeongho Ahn, Arkansas State University

Martha Allen, Georgia College & State University

Roger C. Alperin, San Jose State University

Weam M. Al-Tameemi, Texas A&M International University

Robin Anderson, Southwestern Illinois College

Allison W. Arnold, University of Georgia

Mathai Augustine, Cleveland State Community College

Carroll Bandy, Texas State University

Scott E. Barnett, Henry Ford Community College

Emmanuel N. Barron, Loyola University Chicago

Abby Baumgardner, Blinn College, Bryan

Thomas Beatty, Florida Gulf State University

Robert W. Bell, Michigan State University

Nicholas G. Belloit, Florida State College at Jacksonville

Daniel Birmajer, Nazareth College of Rochester

Justin Bost, Rowan-Cabarrus Community College—South Campus

Laurie Boudreaux, Nicholls State University

Alain Bourget, California State University at Fullerton

David Boyd, Valdosta State University

Jim Brandt, Southern Utah University

Light R. Bryant, Arizona Western College

Kirby Bunas, Santa Rosa Junior College

Dietrich Burbulla, University of Toronto

Shawna M. Bynum, Napa Valley College

Joe Capalbo, Bryant University

Mindy Capaldi, Valparaiso University

Luca Capogna, University of Arkansas

Jenna P. Carpenter, Louisana Tech University

Nathan Carter, Bentley University

Vincent Castellana, Craven Community College

Stephen Chai, Miles College

E. William Chapin, Jr., University of Maryland, Eastern Shore

Sunil Kumar Chebolu, Illinois State University

William Cook, Appalachian State University

Sandy Cooper, Washington State University

David A. Cox, Amherst College

Mark Crawford, Waubonsee Community College

Charles N. Curtis, Missouri Southern State University

Larry W. Cusick, California State University, Fresno

Rajendra Dahal, Coastal Carolina University

Ernesto Diaz, Dominican University of California

Robert Diaz, Fullerton College

Geoffrey D. Dietz, Gannon University

Della Duncan-Schnell, California State University, Fresno

Deborah A. Eckhardt, St. Johns River State College

Karen Ernst, Hawkeye Community College

Mark Farag, Fairleigh Dickinson University

Kevin Farrell, Lyndon State College

Walden Freedman, Humboldt State University

Md Firozzaman, Arizona State University

Kseniya Fuhrman, Milwaukee School of Engineering

Douglas R. Furman, SUNY Ulster Community College

Tom Geil, Milwaukee Area Technical College

Jeff Gervasi, Porterville College

William T. Girton, Florida Institute of Technology

Darren Glass, Gettysburg College

Giséle Goldstein, University of Memphis

Jerome A. Goldstein, University of Memphis

Lourdes M. Gonzalez, Miami Dade College

Pavel Grinfield, Drexel University

Mark Grinshpon, Georgia State University

Jeffrey M. Groah, Lone Star College, Montgomery

Gary Grohs, Elgin Community College

Paul Gunnells, University of Massachusetts, Amherst

Semion Gutman, University of Oklahoma

Christopher Hammond, Connecticut College

James Handley, Montana Tech

Alexander L. Hanhart, New York University

Gregory Hartman, Virginia Military Institute

LaDawn Haws, California State University, Chico

Mary Beth Headlee, State College of Florida, Manatee-Sarasota

Janice Hector, DeAnza College

Anders O.F. Hendrickson, St. Norbert College

Shahryar Heydari, Piedmont College

Max Hibbs, Blinn College

Rita Hibschweiler, University of New Hampshire

David Hobby, SUNY at New Paltz

Michael Holtfrerich, Glendale Community College

Keith E. Howard, Mercer University

Tracey Hoy, College of Lake County

Syed I. Hussain. Orange Coast College

Maiko Ishii, Dawson College

Nena Kabranski, Tarrent County College

William H. Kazez, The University of Georgia

Michael Keller, University of Tulsa

Eric S. Key, University of Wisconsin, Milwaukee

Raja Nicolas Khoury, Collin College

Michael Kirby, Colorado State University

Alex Kolesnik, Ventura College

Natalia Kouzniak, Simon Fraser University

Ashok Kumar, Valdosta State University

Geoffrey Laforte, University of West Florida

Tamara J. Lakins, Allegheny College

Justin Lambright, Anderson University

Carmen Latterell, University of Minnesota, Duluth

Glenn W. Ledder, University of Nebraska, Lincoln

Namyong Lee, Minnesota State University, Mankato

Aihua Li, Montclair State University

Rowan Lindley, Westchester Community College

Matthew Macauley, Clemson University

Filix Maisch, Oregon State University

Heath M. Martin, University of Central Florida

Vania Mascioni, Ball State University

Philip McCartney, Northern Kentucky University

Kate McGivney, Shippensburg University

Douglas B. Meade, University of South Carolina

Jie Miao, Arkansas State University

John Mitchell, Clark College

Val Mohanakumar, Hillsborough Community College

Catherine Moushon, Elgin Community College

Suzanne Mozdy, Salt Lake Community College

Gerald Mueller, Columbus State Community College

Kevin Nabb, Moraine Valley Community College

Bogdan G. Nita, Montclair State University

Charles Odion, Houston Community College

Giray Ökten, Florida State University

Kurt Overhiser, Valencia College

Edward W. Packel, Lake Forest College

Joshua Palmatier, SUNY College at Oneonta

Teresa Hales Peacock, Nash Community College

Chad Pierson, University of Minnesota, Duluth

Cynthia Piez, University of Idaho

Joni Burnette Pirnot, State College of Florida, Manatee-Sarasota

Jeffrey L. Poet, Missouri Western State University

Shirley Pomeranz, The University of Tulsa

Elise Price, Tarrant County College, Southeast Campus

Harald Proppe, Concordia University

Michael Radin, Rochester Institute of Technology

Jayakumar Ramanathan, Eastern Michigan University

Joel Rappaport, Florida State College at Jacksonville

Marc Renault, Shippensburg University

Suellen Robinson, North Shore Community College

William E. Rogge, University of Nebraska, Lincoln

Yongwu Rong, George Washington University

Amber Rosin, California State Polytechnic University

Richard J. Rossi, Montana Tech of the University of Montana

Bernard Rothman, Ramapo College of New Jersey

Dan Russow, Arizona Western College

Adnan H. Sabuwala, California State University, Fresno

Alan Saleski, Loyola University Chicago

Brandon Samples, Georgia College & State University

Jorge Sarmiento, County College of Morris

Ned Schillow, Lehigh Carbon Community College

Kristen R. Schreck, Moraine Valley Community College

Randy Scott, Santiago Canyon College

George F. Seelinger, Illinois State University

Rosa Garcia Seyfried, Harrisburg Area Community College

John Sumner, University of Tampa

Geraldine Taiani, Pace University

Barry A. Tesman, Dickinson College

Derrick Thacker, Northeast State Community College

Millicent P. Thomas, Northwest University

Tim Trenary, Regis University

Pamela Turner, Hutchinson Community College

Jen Tyne, University of Maine

David Unger, Southern Illinois University-Edwardsville

William Veczko, St. Johns River State College

James Vicknair, California State University, San Bernardino

Robert Vilardi, Troy University, Montgomery

Klaus Volpert, Villanova University

David Walnut, George Mason University

James Li-Ming Wang, University of Alabama

Jeffrey Xavier Watt, Indiana University-Purdue University Indianapolis

Qing Wang, Shepherd University

Rebecca Wong, West Valley College

Carolyn Yackel, Mercer University

Catalina Yang, Oxnard College

Yvonne Yaz, Milwaukee State College of Engineering

Hong Zhang, University of Wisconsin, Oshkosh

Qiao Zhang, Texas Christian University

Qing Zhang, University of Georgia

Finally, we would like to thank the editorial, production, and marketing teams at W. H. Freeman, whose support, knowledge, and hard work were instrumental in the publication of this text: Ruth Baruth, Terri Ward, Andrew Sylvester, and Jorge Amaral on the Editorial side; Julia DeRosa, Diana Blume, Robert Errera, Christine Buese, and Janice Donnola on the Project Management, Design, and Production teams; and Steve Rigolosi, Steve Thomas, and Stephanie Ellis on the Marketing and Market Development teams. Thanks as well to the diligent group at Cenveo, lead by VK Owpee, for their expert composition, and to Ron Weickart at Network Graphics for his skill and creativity in executing the art program.

Michael Sullivan

Kathleen Miranda

SUPPLEMENTS

For Instructors

Instructor’s Solutions Manual

Single Variable ISBN: 1-4641-4267-X

Multivariable ISBN: 1-4641-4266-1

Contains worked-out solutions to all exercises in the text.

Test Bank

Computerized (CD-ROM), ISBN: 1-4641-4272-6

Includes a comprehensive set of multiple-choice test items.

Instructor’s Resource Manual

ISBN: 1-4641-8659-6

Provides sample course outlines, suggested class time, key points, lecture material, discussion topics, class activities, worksheets, projects, and questions to accompany the dynamic figures.

Instructor’s Resource CD-ROM

ISBN: 1-4641-4274-2

Search and export all resources by key term or chapter. Includes text images, Instructor’s Solutions Manual, Instructor’s Resource Manual, and Test Bank.

For Students

Student Solutions Manual

Single Variable ISBN: 1-4641-4264-5

Multivariable ISBN: 1-4641-4265-3

Contains worked-out solutions to all odd-numbered exercises in the text.

Software Manuals

Maple™ and Mathematica® software manuals serve as basic introductions to popular mathematical software options.

ONLINE HOMEWORK OPTIONS

W. H. Freeman’s new online homework system, LaunchPad, offers our quality content curated and organized for easy assignability in a simple but powerful interface. We’ve taken what we’ve learned from thousands of instructors and the hundreds of thousands of students to create a new generation of W. H. Freeman/Macmillan technology.

Curated Units collect and organize videos, homework sets, dynamic figures, and e-book content to give instructors a course foundation to use as-is, or as a building block for their own learning units. Thousands of algorithmic exercises (with full algorithmic solutions) from the text can be assigned as online homework. Entire units worth of material and homework can be assigned in seconds drastically saving the amount of time it takes to get a course up and running.

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OTHER ONLINE HOMEWORK OPTIONS

www.webassign.net/freeman

WebAssign Premium integrates the book’s exercises into the world’s most popular and trusted online homework system, making it easy to assign algorithmically generated homework and quizzes. Algorithmic exercises offer the instructor optional algorithmic solutions. WebAssign Premium also offers access to resources, including Dynamic Figures, CalcClips whiteboard videos, tutorials, and “Show My Work” feature. In addition, WebAssign Premium is available with a fully customizable e-Book option that includes links to interactive applets and projects.

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W. H. Freeman offers thousands of algorithmically generated questions (with full solutions) though this free, open-source online homework system at the University of Rochester. Adopters also have access to a shared national library test bank with thousands of additional questions, including 1,500 problem sets matched to the book’s table of contents.