Higher Education

Single Variable Calculus: Early Transcendental Functions, Hybrid, 5th Edition

  • includes Enhanced WebAssign Homework and eBook LOE Printed Access Card for Multi Term Math and Science
  • Ron Larson The Pennsylvania State University, The Behrend College
  • Bruce H. Edwards University of Florida
  • ISBN-10: 1133103790  |  ISBN-13: 9781133103790
  • 640 Pages
  • © 2012 | Published
  • College Bookstore Wholesale Price = $121.50
  • Newer Edition Available

About

Overview

Reflecting Cengage Learning’s commitment to offering flexible teaching solutions and value for students and instructors, these new hybrid versions feature the instructional presentation found in the printed text while delivering end-of-section exercises online in Enhanced WebAssign®. The result—a briefer printed text that engages students online! Designed for the three-semester engineering calculus course, SINGLE VARIABLE CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS HYBRID, 5/e, offers students innovative learning resources. Every edition from the first to the fifth of SINGLE VARIABLE CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS HYBRID, 5/e has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.

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.
  • 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

1. PREPARATION FOR CALCULUS.
Graphs and Models. Linear Models and Rates of Change. Functions and Their Graphs. Fitting Models to Data. Inverse Functions. Exponential and Logarithmic Functions.
2. 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.
3. 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. Derivatives of Inverse Functions. Related Rates. Newton’s Method.
4. 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. Differentials.
5. 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. The Natural Logarithmic Function: Integration. Inverse Trigonometric Functions: Integration. Hyperbolic Functions. Section Project: St. Louis Arch.
6. DIFFERENTIAL EQUATIONS.
Slope Fields and Euler’s Method. Differential Equations: Growth and Decay. Differential Equations: Separation of Variables. The Logistic Equation. First-Order Linear Differential Equations. Section Project: Weight Loss. Predator-Prey Differential Equations.
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.
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’Hôpital’s Rule. Improper Integrals.
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.
10. CONICS, PARAMETRIC EQUATIONS, AND POLAR COORDINATES.
Conics and Calculus. Plane Curves and Parametric Equations. Section Projects: 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.

What's New

  • NEW! Interested in a simple way to complement your text and course content with study and practice materials? Cengage Learning’s CourseMate brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. Watch student comprehension soar as your class works with the printed textbook and the textbook-specific website. CourseMate goes beyond the book to deliver what you need!
  • NEW-AND-IMPROVED! Exclusively from Cengage Learning, Enhanced WebAssign® combines the exceptional Mathematics content that you know and love with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content and interactive eBooks helping students to develop a deeper conceptual understanding of their subject matter.
  • Exclusively from Cengage Learning, Enhanced WebAssign® combines the exceptional Mathematics content that you know and love with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content and interactive eBooks helping students to develop a deeper conceptual understanding of their subject matter.
  • NEW! Cengage YouBook is a Flash-based eBook that is interactive and customizable! Containing all the content from Larson’s Calculus: Early Transcendental Functions,5e, YouBook features a text edit tool that allows you to rewrite, delete, modify, or add to the textbook narrative as needed. With YouBook, you can quickly re-order entire chapters and sections or hide any content you don’t teach to create an eBook that perfectly matches your syllabus. Additional media assets include interactive simulations, animations, and video clips that complement the traditional text presentation. The YouBook also lets you embed videos of your own or from YouTube directly into eBook pages.
  • NEW! Hybrid versions of the text provide a less-expensive, shorter option for students using EWA. End-of-section problems are omitted from the text and appear online only.
  • 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 fifth edition of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS. 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.

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.

  • Casebound Edition

    ISBN-10: 053873552X | ISBN-13: 9780538735520

    List Price = $306.95  | College Bookstore Wholesale Price = $230.25

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 Manual, Calc: ET  (ISBN-10: 0538736704 | ISBN-13: 9780538736701)

PowerLecture DVD  (ISBN-10: 0538739215 | ISBN-13: 9780538739214)

Solutions Builder  (ISBN-10: 0538757132 | ISBN-13: 9780538757133)

This flexible, personalized online tool lets you easily build and save your own personal solution sets either for printing or posting on password-protected class websites.

Student Solutions Manual, Volume 1 (Chapters P-11)  (ISBN-10: 0538739207 | ISBN-13: 9780538739207)

This manual includes worked out solutions to every odd-numbered exercise in Larson's Single Variable Calculus: Early Transcendental Functions, 5e (Chapters P-11 of Larson's Calculus: Early Transcendental Functions, 5e).

List Price = $101.95  | CengageBrain Price = $101.95  | College Bookstore Wholesale Price = $76.50

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

CalcLabs with Mathematica for Single Variable Calculus  (ISBN-10: 0840058144 | ISBN-13: 9780840058140)

These comprehensive manuals help students use Maple or Mathematica programs more efficiently. These are available for bundling with your Stewart Calculus text at a special discount.

List Price = $124.95  | CengageBrain Price = $124.95  | College Bookstore Wholesale Price = $93.75

Student Supplements

Student Solutions Manual, Volume 1 (Chapters P-11)  (ISBN-10: 0538739207 | ISBN-13: 9780538739207)

This manual includes worked out solutions to every odd-numbered exercise in Larson's Single Variable Calculus: Early Transcendental Functions, 5e (Chapters P-11 of Larson's Calculus: Early Transcendental Functions, 5e).

List Price = $101.95  | CengageBrain Price = $101.95  | College Bookstore Wholesale Price = $76.50

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

CalcLabs with Mathematica for Single Variable Calculus  (ISBN-10: 0840058144 | ISBN-13: 9780840058140)

Over the past two decades the wide availability of powerful computational software such as Mathematica ® has had a significant effect upon the way calculus is taught and learned. Remarkably, computations that would have been extraordinary just a few years ago—and certainly unimaginable in the times of Newton, Gauss, and Riemann—can be done easily with a computer and Mathematica. The primary goal of this manual is to show you how Mathematica can help you learn and use calculus. The approach is to use Mathematica as a tool for exploring calculus concepts and the way calculus can be used to solve problems.

List Price = $124.95  | CengageBrain Price = $124.95  | 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.