Higher Education

Applied Calculus, 5th Edition

  • Stefan Waner Hofstra University
  • Steven Costenoble Hofstra University
  • ISBN-10: 1439049238  |  ISBN-13: 9781439049235
  • 752 Pages
  • Previous Editions: 2008, 2007, 2004
  • © 2011 | Published
  • College Bookstore Wholesale Price = $285.50
  • Newer Edition Available
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About

Overview

Full of relevant and current real-world applications, Stefan Waner and Steven Costenoble's APPLIED CALCULUS, Fifth Edition helps your students relate to mathematics! Throughout the text is clearly delineated, thorough Microsoft® Excel® and Graphing Calculator instruction, optional so instructors can include any amount of technology instruction in their courses. Acclaimed for accuracy and readability, APPLIED CALCULUS, Fifth Edition connects with all types of teaching and learning styles. Resources like the accompanying website allow the text to support a range of course formats, from traditional lectures to strictly online courses.

Additional Product Information

Features and Benefits

  • Real World Orientation: Making the material come alive for students, the book provides a great diversity, breadth, and abundance of examples and exercises based on real, referenced data from business, economics, the life sciences, and social sciences.
  • Clear technology instructions now appear at the end of each chapter as "Technology Guides." These easy to use color-coded guides include instructions for both Microsoft® Excel® and the TI-83/84 Graphing Calculator. Examples in the chapter with corresponding technology instructions are clearly indicated.
  • Informal "FAQ" question-and-answer dialogues that anticipate the kinds of questions students might have appear at the end of each section. These often informal discussions guide the student through development of new concepts.
  • Website: An outstanding text-specific website (www.AppliedCalc.com) offers interactive tutorials, review exercises, and online utilities for a variety of tasks like graphing, regression, and matrix algebra. The site enhances interest, learning, and comprehension.
  • Communication and Reasoning Exercises for Writing and Discussion, designed to broaden the student's grasp of the mathematical concepts and develop modeling skills.
  • Five Elements of Mathematical Pedagogy: The book discusses many of the central concepts numerically, graphically, and algebraically. It also explores them verbally and interactively.

Table of Contents

0. PRECALCULUS REVIEW.
Real Numbers. Exponents and Radicals. Multiplying and Factoring Algebraic Equations. Rational Expressions. Solving Polynomial Equations. Solving Miscellaneous Equations. The Coordinate Plane.
1. FUNCTIONS AND LINEAR MODELS.
Functions from the Numerical, Algebraic, and Graphical Viewpoints. Applications: Functions and Models. Linear Functions and Models. Linear Regression. Key Concepts. Review Exercises. Case Study: Modeling Spending on Internet Advertising. Technology Guides. Optional Internet Topic: New Functions from Old: Scaled and Shifted Functions.
2. NONLINEAR FUNCTIONS AND MODELS.
Quadratic Functions and Models. Exponential Functions and Models. Logarithmic Functions and Models. Logistic Functions and Models. Key Concepts. Review Exercises. Case Study: Checking up on Malthus. Technology Guides. Optional Internet Topics: Inverse Functions. Using and Deriving Algebraic Properties of Logarithms.
3. INTRODUCTION TO THE DERIVATIVE.
Limits: Numerical and Graphical Approaches. Limits and Continuity. Limits: Algebraic Approach. Average Rate of Change. Derivatives: Numerical and Graphical Viewpoints. Derivatives: Algebraic Viewpoint. Key Concepts. Review Exercises. Case Study: Reducing Sulfur Emissions. Technology Guides. Optional Internet Topics: Sketching the Graph of the Derivative. Proof of the Power Rule. Continuity and Differentiability.
4. TECHNIQUES OF DIFFERENTIATION WITH APPLICATIONS.
Derivatives of Powers, Sums, and Constant Multiples. A First Application: Marginalnalysis. The Product and Quotient Rules. The Chain Rule. Derivatives of Logarithmic and Exponential Functions. Implicit Differentiation. Key Concepts. Review Exercises. Case Study: Projecting Market Growth. Technology Guides. Optional Internet Topic: Linear Approximation and Error Estimation.
5. FURTHER APPLICATIONS OF THE DERIVATIVE.
Maxima and Minima. Applications of Maxima and Minima. Higher Order Derivatives: Acceleration and Concavity. Analyzing Graphs. Related Rates. Elasticity. Key Concepts. Review Exercises. Case Study: Production Lot Size Management. Technology Guides.
6. THE INTEGRAL.
The Indefinite Integral. Substitution. The Definite Integral: Numerical and Graphical Approaches. The Definite Integral: Algebraic Approach and the Fundamental Theorem of Calculus. Key Concepts. Review Exercises. Case Study: Wage Inflation. Technology Guides. Optional Internet Topic: Numerical Integration.
7. FURTHER INTEGRATION TECHNIQUES AND APPLICATIONS OF THE INTEGRAL.
Integration by Parts. Area Between Two Curves and Applications. Averages and Moving Averages. Applications to Business and Economics: Consumers'' and Producers'' Surplus and Continuous Income Streams. Improper Integrals and Applications. Differential Equations and Applications. Key Concepts. Review Exercises. Case Study: Estimating Tax Revenues. Technology Guides. Optional Internet Topic: Taylor Polynomials.
8. FUNCTIONS OF SEVERAL VARIABLES.
Functions of Several Variables from the Numerical, Algebraic, and Graphical Viewpoints. Partial Derivatives. Maxima and Minima. Constrained Maxima and Minima and Applications. Double Integrals and Applications. Key Concepts. Review Exercises. Case Study: Modeling Household Income. Technology Guides. Optional Internet Topic: The Chain Rule for Functions of Several Variables.
9. TRIGONOMETRIC MODELS.
Trigonometric Functions, Models, and Regression. Derivatives of Trigonometric Functions and Applications. Integrals of Trigonometric Functions and Applications. Key Concepts. Review Exercises. Case Study: Predicting Cocoa Inventories. Technology Guides.
ANSWERS TO SELECTED EXERCISES.
INDEX.
OPTIONAL INTERNET TOPIC.
S. CALCULUS APPLIED TO PROBABILITY AND STATISTICS.
Introduction.
Continuous Random Variables and Histograms.
Probability Density Functions: Uniform, Exponential, Normal, and Beta.
Mean, Median, Variance and Standard Deviation.
Case Study: Creating a Family Trust.

What's New

  • New real data exercises and examples based on topics of current interest like Facebook, Xbox, iPhones, and eBay to help students relate to the material.
  • Technology Notes have been enhanced to include step-by-step instructions and key strokes at point of use, to enable better integration of graphing calculators and spreadsheets.
  • New Supplementary Notes have been added, providing additional information for the student, further explanations or clarification of concepts, reminders of previously learned material or references for further study, and additional tips for using technology.
  • Expanded and reorganized exercise sets gradually increase in level to include more basic skills exercises to help students master the basic concepts.
  • New content on Functions in Models in Chapter one brings together topics like revenue, profit, demand, supply, and change of time that occur throughout the book.
  • New section on higher order derivatives with added material on concavity and acceleration.
  • Expanded list of optional sections available, including Taylor polynomials, chain rule for multivariate calculus, calculus applied to probability, and more!

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 - Start Smart Guide for Student + Enhanced WebAssign Homework Printed Access Card for One Term Math and Science

ISBN-10: 0538459352  | ISBN-13: 9780538459358

List Price = $378.95  | College Bookstore Wholesale Price = $284.75

This Bundle Includes:

  • Applied Calculus
    List Price = $379.95  | CengageBrain Price = $379.95  | College Bookstore Wholesale Price = $285.50
  • Enhanced WebAssign - Start Smart Guide for Students
    List Price = $50.95  | CengageBrain Price = $50.95  | College Bookstore Wholesale Price = $38.25
  • Enhanced WebAssign Homework Only LOE Printed Access Card for One-Term Math and Science
    List Price = $94.00  | College Bookstore Wholesale Price = $70.50


Bundle: Text + Enhanced WebAssign - Start Smart Guide for Students + Enhanced WebAssign Homework and eBook Access Card for One Term Math and Science

ISBN-10:  1111073341  | ISBN-13:  9781111073343

List Price = $378.95  | College Bookstore Wholesale Price = $284.75

This Bundle Includes:

  • Applied Calculus
    List Price = $379.95  | CengageBrain Price = $379.95  | College Bookstore Wholesale Price = $285.50
  • Enhanced WebAssign Homework and eBook LOE Printed Access Card for Math and Science
    List Price = $94.00  | College Bookstore Wholesale Price = $70.50
  • Enhanced WebAssign - Start Smart Guide for Students
    List Price = $50.95  | CengageBrain Price = $50.95  | College Bookstore Wholesale Price = $38.25


Bundle: Text + Student Solutions Manual

ISBN-10:  111107335X  | ISBN-13:  9781111073350

List Price = $447.95  | College Bookstore Wholesale Price = $332.00

This Bundle Includes:

  • Applied Calculus
    List Price = $379.95  | CengageBrain Price = $379.95  | College Bookstore Wholesale Price = $285.50
  • Student Solutions Manual
    List Price = $85.95  | College Bookstore Wholesale Price = $64.50


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

ISBN-10:  1111616205  | ISBN-13:  9781111616205

List Price = $385.95  | CengageBrain Price = $385.95  | College Bookstore Wholesale Price = $290.50

This Bundle Includes:

  • Applied Calculus
    List Price = $379.95  | CengageBrain Price = $379.95  | College Bookstore Wholesale Price = $285.50
  • Enhanced WebAssign, 1 term (6 months) Printed Access Card for Applied Math, Single-Term Courses
    List Price = $94.00  | College Bookstore Wholesale Price = $70.50


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

ISBN-10:  130560430X | ISBN-13:  9781305604308

List Price = $385.95  | CengageBrain Price = $385.95  | College Bookstore Wholesale Price = $290.50

This Bundle Includes:

  • Applied Calculus
    List Price = $379.95  | CengageBrain Price = $379.95  | College Bookstore Wholesale Price = $285.50
  • Enhanced WebAssign Instant Access for Applied Math, Single-Term Courses
    List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00


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

ExamView® (Windows/Macintosh)  (ISBN-10: 1439049912 | ISBN-13: 9781439049914)

Online Test Bank (Printable)  (ISBN-10: 0538733195 | ISBN-13: 9780538733199)

Solution Builder  (ISBN-10: 0538736690 | ISBN-13: 9780538736695)

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

Solution Builder  (ISBN-10: 0538739339 | ISBN-13: 9780538739337)

Offers fully worked instructor solutions to all exercises in the text in customizable online format. Adopting instructors can sign up for access at www.cengage.com/solutionbuilder.

Student Supplements

Microsoft® Excel® Computer Lab Manual  (ISBN-10: 0538733209 | ISBN-13: 9780538733205)

Available digitally only via www.ichapters.com.

List Price = $80.95  | CengageBrain Price = $80.95  | College Bookstore Wholesale Price = $60.50

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

Bundle: Text + Enhanced WebAssign Homework with eBook Printed Access Card for One Term Math and Science  (ISBN-10: 1111616205 | ISBN-13: 9781111616205)

Full of relevant and current real-world applications, Stefan Waner and Steven Costenoble's APPLIED CALCULUS, Fifth Edition helps your students relate to mathematics! Throughout the text is clearly delineated, thorough Microsoft® Excel® and Graphing Calculator instruction, optional so instructors can include any amount of technology instruction in their courses. Acclaimed for accuracy and readability, APPLIED CALCULUS, Fifth Edition connects with all types of teaching and learning styles. Resources like the accompanying website allow the text to support a range of course formats, from traditional lectures to strictly online courses.

List Price = $385.95  | CengageBrain Price = $385.95  | College Bookstore Wholesale Price = $290.50

Meet the Author

Author Bio

Stefan Waner

Stefan Waner and Steven R. Costenoble both received their Ph.D. from the University of Chicago, having studied several years apart with the same advisor, J. Peter May. Their paths merged when Steven joined Stefan at Hofstra University in 1987; since then they have coauthored 18 research papers as well as a research-level monograph in algebraic topology. By the early 1990s they had become dissatisfied with many of the Finite Mathematics and Applied Calculus textbooks. They wanted textbooks that were more readable and relevant to students' interests, containing examples and exercises that were interesting, and reflected the interactive approaches and techniques they found worked well with their own students. It therefore seemed natural to extend their research collaboration to a joint textbook writing project that expressed these ideals. To this day, they continue to work together on their textbook projects, their research in algebraic topology, and their teaching.

Steven Costenoble

Stefan Waner and Steven R. Costenoble both received their Ph.D. from the University of Chicago, having studied several years apart with the same advisor, J. Peter May. Their paths merged when Steven joined Stefan at Hofstra University in 1987; since then they have coauthored 18 research papers as well as a research-level monograph in algebraic topology. By the early 1990s they had become dissatisfied with many of the Finite Mathematics and Applied Calculus textbooks. They wanted textbooks that were more readable and relevant to students' interests, containing examples and exercises that were interesting, and reflected the interactive approaches and techniques they found worked well with their own students. It therefore seemed natural to extend their research collaboration to a joint textbook writing project that expressed these ideals. To this day, they continue to work together on their textbook projects, their research in algebraic topology, and their teaching.