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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.

Geoffrey C. Berresford, Long Island University

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, Long Island University

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.
  • 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.
  • 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.
  • Chapter Summaries, organized by section, review key concepts and reference specific review exercises that allow students to check their understanding. Chapter-ending Hints and Suggestions offer special reminders of essential facts or "tricks" that students might otherwise overlook.
  • Exclusively from Cengage Learning, Enhanced WebAssign® offers an extensive online program for 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.
Real Numbers, Inequalities, and Lines. Exponents. Functions: Linear and Quadratic. Functions: Polynomial, Rational, and Exponential.
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.
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.
Exponential Functions. Logarithmic Functions. Differentiation of Logarithmic and Exponential Functions. Two Applications to Economics: Relative Rates and Elasticity of Demand.
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.
Integration by Parts. Integration Using Tables. Improper Integrals. Numerical Integration.
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.
Triangles, Angles, and Radian Measure. Sine and Cosine Functions. Derivatives of Sine and Cosine Functions. Integrals of Sine and Cosine Functions. Other Trigonometric Functions.
Separation of Variables. Further Applications of Differential Equations: Three Models of Growth. First-Order Linear Differential Equations. Approximate Solutions of Differential Equations: Euler's Method.
Geometric Series. Taylor Polynomials. Taylor Series. Newton's Method.
Discrete Probability. Continuous Probability. Uniform and Exponential Random Variables. Normal Random Variables.
Each WebAssign online product offers the full textbook combined with a flexible and fully customizable online instructional assignments and tools.

Cengage provides a seamless user experience for Learning Management Systems (LMS) integration. Please contact your Cengage Learning Consultant for ordering information and visit our Learning Management System Integration web page on WebAssign for general information.

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Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.


Complete Solutions Manual with Instructor's Web Site

ISBN: 9781305112278
This manual contains solutions to all exercises from the text, including Chapter Review Exercises and Cumulative Reviews. This manual can be found on the Instructors Companion Site.

Cengage Learning Testing, powered by Cognero Instant Access

ISBN: 9781305112292
Cengage Learning Testing Powered by Cognero® is a flexible, online system that allows you to author, edit, and manage test bank content; create multiple test versions in an instant; and deliver tests from your LMS, your classroom or wherever you want. This is available online at

Student Solutions Manual

ISBN: 9781305107953
This manual contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving you a way to check your answers and ensure that you took the correct steps to arrive at an answer.


Student Solutions Manual

ISBN: 9781305107953
This manual contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving you a way to check your answers and ensure that you took the correct steps to arrive at an answer.