Higher Education

Calculus of a Single Variable, 10th Edition

  • Ron Larson The Pennsylvania State University, The Behrend College
  • Bruce H. Edwards University of Florida
  • ISBN-10: 1285060288  |  ISBN-13: 9781285060286
  • 864 Pages
  • Previous Editions: 2010, 2006, 2002
  • © 2014 | Published
  • College Bookstore Wholesale Price = $236.50
  • 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.
  • 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 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

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. 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.

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.

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 Paperbound Edition

    ISBN-10: 1285097882  | ISBN-13: 9781285097886

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

  • MindTap 3 Terms (18 Months) + Loose-leaf

    ISBN-10:  1305718682  | ISBN-13:  9781305718685

    List Price = $170.95  | CengageBrain Price = $170.95  | College Bookstore Wholesale Price = $128.75

  • WebAssign 2 Terms (12 Months) + Loose-leaf

    ISBN-10:  1305718712 | ISBN-13:  9781305718715

    List Price = $170.95  | CengageBrain Price = $170.95  | College Bookstore Wholesale Price = $128.75

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 (Calc:SV) + CourseMate, 3 terms (18 months) Printed Access Card for Larson/Edwards' Calculus, 10th

ISBN-10: 1285338294  | ISBN-13: 9781285338293

List Price = $327.95  | CengageBrain Price = $327.95  | College Bookstore Wholesale Price = $246.50

This Bundle Includes:

  • Calculus of a Single Variable
    List Price = $314.95  | CengageBrain Price = $314.95  | College Bookstore Wholesale Price = $236.50
  • CourseMate, 3 terms (18 months) Printed Access Card
    List Price = $258.00  | College Bookstore Wholesale Price = $193.00


Bundle: Text + Student Solutions Manual

ISBN-10:  1285338308  | ISBN-13:  9781285338309

List Price = $413.95  | CengageBrain Price = $413.95  | College Bookstore Wholesale Price = $311.50

This Bundle Includes:

  • Calculus of a Single Variable
    List Price = $314.95  | CengageBrain Price = $314.95  | College Bookstore Wholesale Price = $236.50
  • Student Solutions Manual
    List Price = $99.95  | CengageBrain Price = $99.95  | College Bookstore Wholesale Price = $75.00


Bundle: Text + + Maple Student Version 15.0 for Calculus: Concept & Context, 9th

ISBN-10:  1285338324  | ISBN-13:  9781285338323

List Price = $357.95  | College Bookstore Wholesale Price = $265.50

This Bundle Includes:

  • Calculus of a Single Variable
    List Price = $314.95  | CengageBrain Price = $314.95  | College Bookstore Wholesale Price = $236.50
  • Maple Student Version 15.0 for Calculus
    List Price = $57.95  | College Bookstore Wholesale Price = $43.50


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

ISBN-10:  1285729196  | ISBN-13:  9781285729190

List Price = $340.95  | CengageBrain Price = $340.95  | College Bookstore Wholesale Price = $256.50

This Bundle Includes:

  • Calculus of a Single Variable
    List Price = $314.95  | CengageBrain Price = $314.95  | College Bookstore Wholesale Price = $236.50
  • Enhanced WebAssign Instant Access for Calculus, Multi-Term Courses
    List Price = $125.00  | CengageBrain Price = $125.00  | College Bookstore Wholesale Price = $125.00


Bundle: Text + Enhanced WebAssign Homework and eBook LOE Printed Access Card for Multi Term Math and Science

ISBN-10:  1285338243 | ISBN-13:  9781285338248

List Price = $340.95  | College Bookstore Wholesale Price = $256.50

This Bundle Includes:

  • Calculus of a Single Variable
    List Price = $314.95  | CengageBrain Price = $314.95  | College Bookstore Wholesale Price = $236.50
  • Enhanced WebAssign Printed Access Card for Calculus, Multi-Term Courses, Life of Edition
    List Price = $125.00  | College Bookstore Wholesale Price = $93.75


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

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.

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.

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: 128508571X | ISBN-13: 9781285085715)

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 Calculus of a Single Variable 10e (Chapters P-11 of Calculus 10e). It is a great resource to help you understand how to solve those tough problems.

List Price = $99.95  | CengageBrain Price = $99.95  | College Bookstore Wholesale Price = $75.00

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: 128508571X | ISBN-13: 9781285085715)

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 Calculus of a Single Variable 10e (Chapters P-11 of Calculus 10e). It is a great resource to help you understand how to solve those tough problems.

List Price = $99.95  | CengageBrain Price = $99.95  | College Bookstore Wholesale Price = $75.00

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.