Higher Education

Calculus of a Single Variable, 9th Edition

  • Ron Larson The Pennsylvania State University, The Behrend College
  • Bruce H. Edwards University of Florida
  • ISBN-10: 0547209983  |  ISBN-13: 9780547209982
  • 912 Pages
  • Previous Editions: 2006, 2002, 1998
  • © 2010 | Published
  • College Bookstore Wholesale Price = $258.75
  • 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

  • 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

P. PREPARATION FOR CALCULUS.
Graphs and Models. Linear Models and Rates of Change. Functions and Their Graphs. Fitting Models to Data Review Exercises P.S. Problem Solving.
1. LIMITS AND THEIR PROPERTIES.
A Preview of Calculus. Finding Limits Graphically and Numerically. Evaluating Limits Analytically. Continuity and One-Sided Limits. Infinite Limits Section Project: Graphs and Limits of Trigonometric Functions Review Exercises P.S. Problem Solving.
2. DIFFERENTIATION.
The Derivative and the Tangent Line Problem. Basic Differentiation Rules and Rates of Change. The Product and Quotient Rules and Higher-Order Derivatives. The Chain Rule. Implicit Differentiation Section Project: Optical Illusions. Related Rates Review Exercises P.S. Problem Solving.
3. APPLICATIONS OF DIFFERENTIATION.
Extrema on an Interval. Rolle''s Theorem and the Mean Value Theorem. Increasing and Decreasing Functions and the First Derivative Test Section Project: Rainbows. Concavity and the Second Derivative Test. Limits at Infinity. A Summary of Curve Sketching. Optimization Problems Section Project: Connecticut River. Newton''s Method. Differentials Review Exercises P.S. Problem Solving.
4. INTEGRATION.
Antiderivatives and Indefinite Integration. Area. Riemann Sums and Definite Integrals. The Fundamental Theorem of Calculus Section Project: Demonstrating the Fundamental Theorem. Integration by Substitution. Numerical Integration Review Exercises P.S. Problem Solving.
5. LOGARITHMIC, EXPONENTIAL, AND OTHER TRANSCENDENTAL FUNCTIONS.
The Natural Logarithmic Function: Differentiation. The Natural Logarithmic Function: Integration. Inverse Functions. Exponential Functions: Differentiation and Integration. Bases Other than e and Applications Section Project: Using Graphing Utilities to Estimate Slope. Inverse Trigonometric Functions: Differentiation. Inverse Trigonometric Functions: Integration. Hyperbolic Functions Section Project: St. Louis Arch Review Exercises P.S. Problem Solving.
6. Differential Equations
Slope Fields and Euler''s Method. Differential Equations: \Growth and Decay. Separation of Variables and the Logistic Equation. First-Order Linear Differential Equations Section Project: Weight Loss Review Exercises P.S. Problem Solving.
7. Applications of Integration
Area of a Region Between Two Curves. Volume: The Disk Method. Volume: The Shell Method Section Project: Saturn. Arc Length and Surfaces of Revolution. Work Section Project: Tidal Energy. Moments, Centers of Mass, and Centroids. Fluid Pressure and Fluid Force Review Exercises P.S. Problem Solving.
8. Integration Techniques, L''Hopital''s Rule, and Improper Integrals
Basic Integration Rules. Integration by Parts. Trigonometric Integrals Section Project: Power Lines. Trigonometric Substitution. Partial Fractions. Integration by Tables and Other Integration Techniques. Indeterminate Forms and L''Hopital''s Rule. Improper Integrals Review Exercises P.S. Problem Solving.
9. Infinite Series
Sequences. Series and Convergence Section Project: Cantor''s Disappearing Table. The Integral Test and p-Series Section Project: The Harmonic Series. Comparisons of Series Section Project: Solera Method. Alternating Series. The Ratio and Root Tests. Taylor Polynomials and Approximations. Power Series. Representation of Functions by Power Series. Taylor and Maclaurin Series Review Exercises P.S. Problem Solving.
10. CONICS, PARAMETRIC EQUATIONS, AND POLAR COORDINATES.
Conics and Calculus. Plane Curves and Parametric Equations Section Project: Cycloids. Parametric Equations and Calculus. Polar Coordinates and Polar Graphs Section Project: Anamorphic Art. Area and Arc Length in Polar Coordinates. Polar Equations of Conics and Kepler''s Laws Review Exercises P.S. Problem Solving.
BOOK APPENDICES.
A. Proofs of Selected Theorems.
B. Integration Tables.
ONLINE APPENDICES.
C. Precalculus Review (please visit URL to come) 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 (please visit URL to come).
E. Complex Numbers (please visit URL to come).
F. Business and Economic Applications (please visit URL to come).

What's New

  • New! Capstone exercise: The Capstone is a new type of exercise that appears in every section. The exercise synthesizes the main concepts of the section and presents them in one exercise. They often contain computational and non-computational parts. These exercises are excellent to work through in class to present a topic for the first time or in class homework review. The Instructor's Resource Guide offers teaching tips on how one might use the Capstone Exercises in class.
  • Exercises—revised based on actual usage! New exercises abound in the ninth edition of CALCULUS. Based on analyses of actual student usage data, the exercise sets have been overhauled to improve student understanding. Many exercises were added, some were revised, and some were removed. The results are exercise sets that effectively address student learning needs.
  • New! Second Order Differential Equations: Added as a new chapter to the multivariable standalone portion of the book and available online, this new chapter delves into second order differential equations. This will greatly help engineering and math majors.
  • New! 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.

Alternate Formats

Choose the format that best fits your student's budget and course goals

To customize your learning solution, contact your Learning Consultant for more information.

  • Hybrid Edition

    ISBN-10: 113310388X | ISBN-13: 9781133103882

    List Price = $163.95  | CengageBrain Price = $163.95  | College Bookstore Wholesale Price = $121.50

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 Homework Printed Access Card for Multi Term Math and Science

ISBN-10: 1111034540  | ISBN-13: 9781111034542

List Price = $363.95  | College Bookstore Wholesale Price = $273.50

This Bundle Includes:

  • Calculus of a Single Variable
    List Price = $343.95  | CengageBrain Price = $343.95  | College Bookstore Wholesale Price = $258.75
  • Enhanced WebAssign Homework Only LOE Printed Access Card for Multi Term Math and Science
    List Price = $125.00  | College Bookstore Wholesale Price = $93.75


Bundle: Text + Student Solutions Manual, Volume 1

ISBN-10:  0495786853  | ISBN-13:  9780495786856

List Price = $453.95  | CengageBrain Price = $453.95  | College Bookstore Wholesale Price = $341.50

This Bundle Includes:

  • Calculus of a Single Variable
    List Price = $343.95  | CengageBrain Price = $343.95  | College Bookstore Wholesale Price = $258.75
  • Student Solutions Manual, Volume 1 ( Chapters P-11)
    List Price = $109.95  | CengageBrain Price = $109.95  | College Bookstore Wholesale Price = $82.75


Bundle: Text + Maple Student Version 14.0

ISBN-10:  111149889X  | ISBN-13:  9781111498894

List Price = $378.95  | College Bookstore Wholesale Price = $280.50

This Bundle Includes:

  • Calculus of a Single Variable
    List Price = $343.95  | CengageBrain Price = $343.95  | College Bookstore Wholesale Price = $258.75
  • Maple Student Version 14.0
    List Price = $56.95  | College Bookstore Wholesale Price = $43.00


Bundle: Text + Mathematics CourseMate with eBook 2-Semester Printed Access Card

ISBN-10:  1111876428 | ISBN-13:  9781111876425

List Price = $343.95  | College Bookstore Wholesale Price = $254.75

This Bundle Includes:

  • Calculus of a Single Variable
    List Price = $343.95  | CengageBrain Price = $343.95  | College Bookstore Wholesale Price = $258.75
  • Mathematics CourseMate with eBook 3-Semester Printed Access Card
    List Price = $283.00  | College Bookstore Wholesale Price = $212.00


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

Student Solutions Manual, Volume 1 ( Chapters P-11)  (ISBN-10: 0547213093 | ISBN-13: 9780547213095)

This manual includes worked out solutions to every odd-numbered exercise in Calculus of a Single Variable, 9e (Chapters P-11 of Larson's Calculus, 9e).

List Price = $109.95  | CengageBrain Price = $109.95  | College Bookstore Wholesale Price = $82.75

Printed Test Bank  (ISBN-10: 0547213115 | ISBN-13: 9780547213118)

The Test Item File contains a sample question for every algorithm in HM Testing.

List Price = $14.95  | College Bookstore Wholesale Price = $11.50

Note Taking Guide  (ISBN-10: 0547213085 | ISBN-13: 9780547213088)

This notebook organizer is designed to help students organize their notes, and provides section-by-section summaries of key topics and other helpful study tools.

List Price = $77.95  | CengageBrain Price = $77.95  | College Bookstore Wholesale Price = $58.50

DVD: Lecture  (ISBN-10: 0547213042 | ISBN-13: 9780547213040)

With the ninth edition of CALCULUS, we have greatly expanded the video series. Nearly all of the first two semesters of calculus are covered in the DVD program, and the majority of third-semester calculus is now covered.

List Price = $82.95  | CengageBrain Price = $82.95  | College Bookstore Wholesale Price = $62.00

Instructor's Complete Solutions Manual, Volume 2  (ISBN-10: 0547213018 | ISBN-13: 9780547213019)

This manual includes worked out solutions to every exercise in Calculus of a Single Variable, 9e (Chapters P-11 of Larson's Calculus, 9e).

Instructor's Complete Solutions Manual, Volume 1 (Chapters P-6)  (ISBN-10: 0547212984 | ISBN-13: 9780547212982)

This manual includes worked out solutions to every exercise in Calculus of a Single Variable, 9e (Chapters P-11 of Larson's Calculus, 9e).

Student Solutions Manual, Volume 2 (Chapters 11-16)  (ISBN-10: 0547213107 | ISBN-13: 9780547213101)

This manual includes worked out solutions to every odd-numbered exercise in Multivariable Calculus, 9e (Chapters 11-16 of Larson's Calculus, 9e).

List Price = $109.95  | CengageBrain Price = $109.95  | College Bookstore Wholesale Price = $82.75

Complete Solutions Guide, Volume 3 (Print) (Chapters 11-16)  (ISBN-10: 0547213026 | ISBN-13: 9780547213026)

This manual includes worked out solutions to everyexercise in Multivariable Calculus, 9e (Chapters 11-16 of Larson's Calculus, 9e).

Enhanced WebAssign Homework Only Printed Access Card for Math and Science  (ISBN-10: 1305408047 | ISBN-13: 9781305408043)

List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $70.50

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, Volume 1 ( Chapters P-11)  (ISBN-10: 0547213093 | ISBN-13: 9780547213095)

This manual includes worked out solutions to every odd-numbered exercise in Calculus of a Single Variable, 9e (Chapters P-11 of Larson's Calculus, 9e).

List Price = $109.95  | CengageBrain Price = $109.95  | College Bookstore Wholesale Price = $82.75

Note Taking Guide  (ISBN-10: 0547213085 | ISBN-13: 9780547213088)

This notebook organizer is designed to help students organize their notes, and provides section-by-section summaries of key topics and other helpful study tools.

List Price = $77.95  | CengageBrain Price = $77.95  | College Bookstore Wholesale Price = $58.50

Student Solutions Manual, Volume 2 (Chapters 11-16)  (ISBN-10: 0547213107 | ISBN-13: 9780547213101)

This manual includes worked out solutions to every odd-numbered exercise in Multivariable Calculus, 9e (Chapters 11-16 of Larson's Calculus, 9e).

List Price = $109.95  | CengageBrain Price = $109.95  | College Bookstore Wholesale Price = $82.75

Enhanced WebAssign Homework Only Printed Access Card for Math and Science  (ISBN-10: 1305408047 | ISBN-13: 9781305408043)

List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $70.50

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

Bundle: Text + Enhanced WebAssign Homework and eBook Printed Access Card for Multi Term Math and Science  (ISBN-10: 143546866X | ISBN-13: 9781435468665)

For the 9th edition of CALCULUS, the authors analyzed the copious student usage data they receive from their website. The authors analyzed student downloads to completely revise and refined the exercise sets based on this analysis. The result is the only calculus book on the market that uses real data about its exercises to address student needs.

List Price = $370.95  | CengageBrain Price = $370.95  | College Bookstore Wholesale Price = $278.75

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.