Applied Calculus

by Stefan Waner, Steven Costenoble

Overview

APPLIED CALCULUS, Seventh Edition, uses a large number of applications based on real data from business, economics, and the life and social sciences to help you see how mathematics relates to your own life and interests. Thorough TI Graphing Calculator and spreadsheet instructions appear throughout the text, and optional WebAssign platform support your learning with detailed teaching videos by an award-winning instructor. With these tools, plus online interactive tutorials and videos on every topic, this text will help you "get" mathematics — whatever your learning style may be.

Product Details

ISBN-13:	9781337291248
Publisher:	Cengage Learning
Publication date:	01/01/2017
Series:	MindTap Course List
Edition description:	New Edition
Pages:	768
Product dimensions:	8.20(w) x 10.10(h) x 1.20(d)

About the Author

Stefan Waner and Steven R. Costenoble both received their Ph.D.s from the University of Chicago, having studied several years apart with the same advisor, J. Peter May. Their paths merged when Dr. Waner joined Dr. Costenoble 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 available. They wanted textbook choices that were more readable and relevant to students' interests — texts that contained engaging examples and exercises and texts that 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 textbook projects, research in algebraic topology and in their teaching.

Stefan Waner and Steven R. Costenoble both received their Ph.D.s from the University of Chicago, having studied several years apart with the same advisor, J. Peter May. Their paths merged when Dr. Waner joined Dr. Costenoble 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 available. They wanted textbook choices that were more readable and relevant to students' interests — texts that contained engaging examples and exercises and texts that 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 textbook projects, research in algebraic topology and in their teaching.

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. Logarithms. 1. FUNCTIONS AND APPLICATIONS. Functions from the Numerical, Algebraic, and Graphical Viewpoints. Functions and Models. Linear Functions and Models. Linear Regression. 2. NONLINEAR FUNCTIONS AND MODELS. Quadratic Functions and Models. Exponential Functions and Models. Logarithmic Functions and Models. Logistic Functions and Models. 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. 4. TECHNIQUES OF DIFFERENTIATION. Derivatives of Powers, Sums, and Constant Multiples. A First Application: Marginal Analysis. The Product and Quotient Rules. The Chain Rule. Derivatives of Logarithmic and Exponential Functions. Implicit Differentiation. 5. APPLICATIONS OF THE DERIVATIVE. Maxima and Minima. Applications of Maxima and Minima. Higher Order Derivatives: Acceleration and Concavity. Analyzing Graphs. Related Rates. Elasticity. 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. 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. 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. 9. TRIGONOMETRIC MODELS. Trigonometric Functions, Models, and Regression. Derivatives of Trigonometric Functions and Applications. Integrals of Trigonometric Functions and Applications.

Editorial Reviews

A textbook for a one- or two-term course intended for students majoring in business, social sciences, or liberal arts. Waner and Costenoble (Hofstra University) incorporate the graphing calculator, Microsoft Excel, and a three-star Web site (rated by Brittanica.com). Intriguing chapter problems and examples address pollution control, investments, alien intelligence, housing costs, demand for beer, and other topics designed to engage college students. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews

"The real applications presented in this book really make it shine. Waner and Costenoble do a phenomenal job of grounding calculus in the day-to-day world of a student. It's obvious that a lot of work has been done researching genuine applications."

"This is an ideal textbook for a business calculus class, especially one that serves students interested in economics or finance and thus is not a terminal course in mathematics. More than with any other text I use, I find myself referring students to examples or supplemental sections in the textbook to answer their questions."

"I'd describe it as 'student friendly' and easy to read. The book is also current on the issues and applications with excellent technology resources."

From the Publisher