Higher Education

Applied Calculus, Brief, 6th Edition

  • Geoffrey C. Berresford Long Island University
  • Andrew M. Rockett Long Island University
  • ISBN-10: 1133103928  |  ISBN-13: 9781133103929
  • 672 Pages
  • Previous Editions: 2010, 2007, 2004
  • © 2013 | Published
  • College Bookstore Wholesale Price = $243.00
  • Newer Edition Available
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About

Overview

This text for the one-semester applied or business calculus course uses intriguing real-world applications to engage students' interest and show them the practical side of calculus. The book's many applications are related to finance, business, and such general-interest topics as the learning curves in airplane production, the age of the Dead Sea Scrolls, Apple and Oracle stock prices, the distance traveled by sports cars, lives saved by seat belts, and the cost of a congressional victory. The Sixth Edition maintains the hallmark features that have made BRIEF APPLIED CALCULUS so popular: contemporary and interesting applications; careful and effective use of technology, including graphing calculator and spreadsheet coverage; constant pedagogical reinforcement through section summaries, chapter summaries, annotated examples, and extra practice problems; Just-in-Time algebra review material; and a variety of exercises and assignment options including Applied Exercises, Conceptual Exercises, and Explorations and Excursions.

Additional Product Information

Features and Benefits

  • Exclusively from Cengage Learning, Enhanced WebAssign® offers an extensive online program for BRIEF APPLIED CALCULUS, 6th Edition, to encourage the practice that's so critical for concept mastery. The pedagogy and exercises in this proven text become even more effective in Enhanced WebAssign, supplemented by multimedia tutorial assistance (e.g., Read It eBook pages, Watch It videos, and Master It tutorials) and immediate feedback as students complete their assignments. Assign as many as 2,300 problems that match your text's end-of-section exercises.
  • Many of the book's contemporary and interesting applications use real, sourced data from a wide range of fields including athletics, biomedical sciences, environmental sciences, management science and business, personal finance and management, social and behavioral sciences, and topics of general interest. A globe icon identifies real-world examples.
  • Sourced exercises establish factual basis and enable further research.
  • Regression (modeling) exercises in Chapter 1 ask students to use calculators to fit equations to actual data, and illustrate the methods used to develop the models in applied exercises throughout the book. Students can also benefit from optional examples on linear regression, power regression, quadratic regression, and exponential regression.
  • The book presents substantial treatment of limits involving infinity, graphing rational functions, and elasticity of demand. In addition to these expanded applications, more challenging exercises are included as well as a complete proof of the Chain Rule based on Carathédory's definition of the derivative.
  • Brief Examples, located immediately to the right of the boxes that summarize results, illustrate and provide immediate reinforcement of the concepts.
  • Optional Graphing Calculator Explorations and exercises explore new topics, allow students to easily carry out otherwise messy calculations, or show the limitations and pitfalls of technology. To allow for optional use of the graphing calculator, the Calculator Explorations are boxed, and an icon identifies exercises that require a graphing calculator.
  • Spreadsheet Explorations are included in the first seven chapters of the text for those who prefer Microsoft® Excel or other spreadsheet technology. The referenced spreadsheets can also be downloaded from the text's website.
  • Spreadsheet Explorations are included in the first seven chapters of the text for those who prefer Microsoft® Excel or other spreadsheet technology. The referenced spreadsheets can also be downloaded from the text's website.

Table of Contents

1. FUNCTIONS.
Real Numbers, Inequalities, and Lines. Exponents. Functions: Linear and Quadratic. Functions: Polynomial, Rational, and Exponential.
2. DERIVATIVES AND THEIR USES.
Limits and Continuity. Rates of Change, Slopes, and Derivatives. Some Differentiation Formulas. The Product and Quotient Rules. Higher-Order Derivatives. The Chain Rule and the Generalized Power Rule. Nondifferentiable Functions.
3. FURTHER APPLICATIONS OF DERIVATIVES.
Graphing Using the First Derivative. Graphing Using the First and Second Derivatives.
Optimization. Further Applications of Optimization. Optimizing Lot Size and Harvest Size. Implicit Differentiation and Related Rates.
4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions. Logarithmic Functions. Differentiation of Logarithmic and Exponential Functions. Two Applications to Economics: Relative Rates and Elasticity of Demand.
5. INTEGRATION AND ITS APPLICATIONS.
Antiderivatives and Indefinite Integrals. Integration Using Logarithmic and Exponential Functions. Definite Integrals and Areas. Further Applications of Definite Integrals: Average Value and Area Between Curves. Two Applications to Economics: Consumers' Surplus and Income Distribution. Integration by Substitution.
6. INTEGRATION TECHNIQUES.
Integration by Parts. Integration Using Tables. Improper Integrals. Numerical Integration. Differential Equations. Further Applications of Differential Equations: Three Models of Growth.
7. CALCULUS OF SEVERAL VARIABLES.
Functions of Several Variables.
Partial Derivatives. Optimizing Functions of Several Variables. Least Squares. Lagrange Multipliers and Constrained Optimization. Total Differentials and Approximate Changes.
Multiple Integrals.

What's New

  • New exercises have been added, enhancing in particular the number and quality of business applications. Exercises and examples have also been updated with the most current real data available.
  • An icon now identifies Just-in-Time Review material, which provides students with helpful algebra guidance via blue annotations to the right of the mathematics in every example throughout the text.
  • A new design and new artwork improve the presentation and flow of material, and boost the aesthetic appeal of the book for today's learners.

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.

  • Comprehensive Edition

    ISBN-10: 113310374X | ISBN-13: 9781133103745

    List Price = $341.95  | CengageBrain Price = $341.95  | College Bookstore Wholesale Price = $256.50

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.

Printed Text + Enhanced WebAssign Instant Access for Developmental Math, Single-Term Courses

ISBN-10: 1337068411 | ISBN-13: 9781337068413

List Price = $329.95  | College Bookstore Wholesale Price = $248.00

This Bundle Includes:

  • Enhanced WebAssign Instant Access for Developmental Math, Single-Term Courses
    List Price = $82.00  | CengageBrain Price = $82.00  | College Bookstore Wholesale Price = $82.00
  • Applied Calculus, Brief
    List Price = $323.95  | CengageBrain Price = $323.95  | College Bookstore Wholesale Price = $243.00


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

Applied Calculus  (ISBN-10: 113310374X | ISBN-13: 9781133103745)

This text for the one- or two-semester applied or business calculus course uses intriguing real-world applications to engage students' interest and show them the practical side of calculus. The book's many applications are related to finance, business, and such general-interest topics as learning curves in airplane production, the age of the Dead Sea Scrolls, Apple and Oracle stock prices, the distance traveled by sports cars, lives saved by seat belts, and the cost of a congressional victory. The Sixth Edition maintains the hallmark features that have made APPLIED CALCULUS so popular: contemporary and interesting applications; careful and effective use of technology, including graphing calculator and spreadsheet coverage; constant pedagogical reinforcement through section summaries, chapter summaries, annotated examples, and extra practice problems; Just-in-Time algebra review material; and a variety of exercises and assignment options including Applied Exercises, Conceptual Exercises, and Explorations and Excursions.

List Price = $341.95  | CengageBrain Price = $341.95  | College Bookstore Wholesale Price = $256.50

CourseMate Instant Access, Brief  (ISBN-10: 1133510655 | ISBN-13: 9781133510659)

Complement your text and course content with study and practice materials. Cengage Learning’s Liberal Arts Mathematics 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. Liberal Arts Mathematics CourseMate goes beyond the book to deliver what you need!

List Price = $226.00  | CengageBrain Price = $226.00  | College Bookstore Wholesale Price = $226.00

PowerLecture  (ISBN-10: 1133104460 | ISBN-13: 9781133104469)

This CD-ROM provides the instructor with dynamic media tools for teaching, including Microsoft® PowerPoint® lecture slides and figures from the book. Create, deliver, and customize tests (both print and online) in minutes with Diploma® Computerized Testing Featuring Algorithmic Equations. You’ll also find a link to the Solution Builder online solutions manual, allowing you to easily build solution sets for homework or exams.

Student Solutions Manual  (ISBN-10: 1133104010 | ISBN-13: 9781133104018)

Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.

List Price = $87.95  | CengageBrain Price = $87.95  | College Bookstore Wholesale Price = $66.00

Enhanced WebAssign - Start Smart Guide for Students  (ISBN-10: 0495384798 | ISBN-13: 9780495384793)

This guide helps students navigate Enhanced WebAssign. It includes instructions on how to use the Assignment page and its Summary, tips on using MathPad for providing easy input of math notation and symbols, an overview of the Graphing Utility's drawing tools for completing graphing assignments, and information on how to access grades and scores summary.

List Price = $49.95  | CengageBrain Price = $49.95  | College Bookstore Wholesale Price = $37.50

Enhanced WebAssign Instant Access for Applied Math, Single-Term Courses  (ISBN-10: 1285857615 | ISBN-13: 9781285857619)

IMPORTANT: When purchasing this instant access code for Applied Math, ensure that you are using it in one of the following courses: Applied Math, Finite Math or Applied Calculus. 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 = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00

Student Supplements

Applied Calculus  (ISBN-10: 113310374X | ISBN-13: 9781133103745)

This applied calculus text uses intriguing real-world applications to show you the interesting and practical side of calculus. The book's many applications are related to finance, business, and such general-interest topics as learning curves in airplane production, the age of the Dead Sea Scrolls, Apple and Oracle stock prices, the distance traveled by sports cars, lives saved by seat belts, and the cost of a congressional victory. The Sixth Edition maintains the hallmark features that have made APPLIED CALCULUS so popular: contemporary and interesting applications; careful and effective use of technology, including graphing calculator and spreadsheet coverage; constant learning reinforcement through section summaries, chapter summaries, annotated examples, and extra practice problems; Just-in-Time algebra review material; and a variety of exercises that allow you to practice and hone your problem-solving skills.

List Price = $341.95  | CengageBrain Price = $341.95  | College Bookstore Wholesale Price = $256.50

CourseMate Instant Access, Brief  (ISBN-10: 1133510655 | ISBN-13: 9781133510659)

The more you study, the better the results. Make the most of your study time by accessing everything you need to succeed in one place. Read your textbook, take notes, review flashcards, watch videos, and take practice quizzes—online with CourseMate.

List Price = $226.00  | CengageBrain Price = $226.00  | College Bookstore Wholesale Price = $226.00

MindLink to CourseMate with eBook 1 term (6 months) Instant Access  (ISBN-10: 1285370139 | ISBN-13: 9781285370132)

The more you study, the better the results. Make the most of your study time by accessing everything you need to succeed in your calculus course in one place. Read your eBook, take notes, review flashcards, view videos, and take practice quizzes—all online with MindLink for CourseMate.

List Price = $226.00  | CengageBrain Price = $226.00  | College Bookstore Wholesale Price = $226.00

Student Solutions Manual  (ISBN-10: 1133104010 | ISBN-13: 9781133104018)

Go beyond the answers--see what it takes to get there and improve your grade! This manual provides worked-out, step-by-step solutions to the odd-numbered problems in the text, so you have the information you need to truly understand how these problems are solved.

List Price = $87.95  | CengageBrain Price = $87.95  | College Bookstore Wholesale Price = $66.00

Enhanced WebAssign - Start Smart Guide for Students  (ISBN-10: 0495384798 | ISBN-13: 9780495384793)

If your instructor has chosen to package Enhanced WebAssign with your text, this manual will help you get up and running quickly with the Enhanced WebAssign system so you can study smarter and improve your performance in class.

List Price = $49.95  | CengageBrain Price = $49.95  | College Bookstore Wholesale Price = $37.50

Enhanced WebAssign Instant Access for Applied Math, Single-Term Courses  (ISBN-10: 1285857615 | ISBN-13: 9781285857619)

IMPORTANT: When purchasing this instant access code for Applied Math, ensure that you are using it in one of the following courses: Applied Math, Finite Math or Applied Calculus. 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 = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00

Blackboard MindLink for CourseMate, 1 term (6 months) Instant Access  (ISBN-10: 1285371259 | ISBN-13: 9781285371252)

The more you study, the better the results. Make the most of your study time by accessing everything you need to succeed in your calculus course in one place. Read your eBook, take notes, review flashcards, view videos, and take practice quizzes—all online with MindLink for CourseMate on Blackboard.

List Price = $226.00  | CengageBrain Price = $226.00  | College Bookstore Wholesale Price = $226.00

Meet the Author

Author Bio

Geoffrey C. Berresford

Dr. Berresford received his Ph.D. from the Courant Institute of Mathematical Sciences at New York University and taught at the State University of New York at Purchase before joining the faculty at the C.W. Post campus of Long Island University. Besides co-authoring four textbooks with Dr. Rockett, he has published papers in differential equations, linear programming, logic, and probability, and has received several teaching awards and the Distinguished Service Award from The Metropolitan New York Section of the Mathematical Association of America.

Andrew M. Rockett

After completing his Ph.D. at Stony Brook University, Dr. Rockett joined the mathematics faculty at C.W. Post and began his collaborations with Dr. Berresford. His book with Peter Szusz on CONTINUED FRACTIONS (1992) was hailed by Ivan Niven as "an outstanding addition to the literature of mathematics," and he served the Kappa Mu Epsilon mathematics honor society as editor of the mathematics journal The Pentagon from 1989 to 1995. Dr. Rockett serves as a reviewer for several journals, including Mathematical Reviews for the American Mathematical Society.