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Applied Calculus,
8th Edition

Stefan Waner, Steven Costenoble

ISBN-13: 9780357723487 | ISBN-10: 0357723481

Copyright 2023

| Not Yet Published

| 900 pages

List Price USD $274.95

Overview

Discover the relevance of mathematics in your own life as you master important concepts and skills in Waner/Costenoble’s APPLIED CALCULUS, 8th Edition. Updated, numerous examples and applications use real data from well-known businesses, current economic and life events -- from cryptocurrency to COVID -- to demonstrate how the principles you are learning impact you. Readable, streamlined content clearly presents concepts while numerous learning features and tools help you review and practice. Spreadsheet and TI graphing calculator instructions appear where needed. In addition, WebAssign online tools and an interactive eTextbook include teaching videos by an award-winning instructor. You can refine your skills in the necessary math prerequisites with additional examples and powerful adaptive practice sessions. A helpful website from the authors also offers online tutorials and videos on every topic to support your learning, no matter what your learning style.

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Meet the Authors

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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.

  • NEW INTERACTIVE ONLINE LEARNING RESOURCES IN WEBASSIGN AND THE AUTHOR WEBSITE REINFORCE MASTERY. Randomizable, interactive versions of key examples, interactive graphs and other learning tools are available in WebAssign and on the authors' AppliedMathSite.net. Interactive elements in nonrandom mode engage students in class participation. For students experiencing difficulties, adaptive practice sessions within the interactive examples offer help with prerequisites all the way to basic algebra.
  • STREAMLINED INTRODUCTORY CHAPTER ON FUNCTIONS AND APPLICATIONS IS NOW MORE FOCUSED. This chapter is more concise and streamlined while discussion of some topics, like carbon dating, now appears in later chapters, where it's more appropriate. This edition's approach to data sets is less complex and the section on mathematical models is significantly more concise and manageable.
  • REVISED CHAPTER ON NONLINEAR FUNCTIONS AND MODELS OFFERS BETTER FLOW OF INFORMATION. The previous section on exponentials is now split into two shorter, more manageable sections. Previous separate sections on logarithms and logistic functions are now combined into one section, allowing a better comparison of the two types of models for long-term trends. In addition, the authors have moved basic material on logarithms that previously appeared in this chapter to this edition's coverage of algebra review for a more cohesive flow.
  • NEW KEY CONCEPTS AND "PRACTICE THIS SKILL" FEATURES GUIDE STUDENT LEARNING. Each section now opens with a brief margin list of topics and skills discussed in that section. Key Concept boxes throughout each chapter contain Quick Examples that highlight and reinforce key topics and skills. In addition, "Practice This Skill" features in the margins and examples in the text correspond with specific exercises that are based on those examples as well as online "Your Turn" interactive exercises. Many of these exercises ask students to revisit the specific examples on which they are based.
  • UPDATED, UNSURPASSED EXAMPLES AND EXERCISES HIGHLIGHT REAL, RELEVANT DATA. Many exercises at all difficulty levels integrate data on relatable topics. Updated applications discuss the rapid rise of cryptocurrencies and the unanticipated global COVID pandemic, while others focus on instantly recognizable corporations or network technology students constantly use. Exercises spotlight notable historic events like the 1990s Dot Com boom, the 2005-2006 real estate bubble and resulting economic crisis, the 2010 stock market "flash crash," and the SARS and Ebola outbreaks of 2003 and 2014.
  • WEBASSIGN ONLINE COURSE SOLUTION PROVIDES SUPPORT FOR YOU AND YOUR STUDENTS. Fully integrated with this printed edition of the text, WebAssign offers a powerful online learning management system that engages students in learning math. New end-of-chapter exercises and pre-built assignments, vetted by trusted subject matter experts, work with robust content, questions and online testing to help you foster a deeper understanding of course concepts. Many of the online tools available in the authors' website are also accessible in WebAssign.
  • INNOVATIVE PEDAGOGY APPEALS TO STUDENTS. Learning features such as Question-and-Answer Dialogues, End-of-Section FAQs and "Before We Go On" engage learners. Informal question-and-answer dialogues anticipate student questions and guide students through new concepts. "Before We Go On" discussions follow most examples and offer a check on the answer, a discussion of the feasibility and significance of a solution or an in-depth look at what the solution means. Quick Examples in the Key Concept boxes include quick, straightforward examples to solidify students' understanding of each new concept.
  • UPDATED PRECALCULUS REVIEW OFFERS A REVISED, DEDICATED APPROACH TO ASSIST STUDENTS IN MASTERY. This review now includes more information on exponents and radicals as well as an extended discussion of logarithms.
  • UPDATED CASE STUDIES ADDRESS CURRENT TOPICS TO ENGAGE READERS. One new case featuring nonlinear models discusses recent trends in college enrollment, while another case focused on matrix algebra highlights social network analysis. Yet another new case examines techniques of differentiation applying logistic functions and their derivatives to obtain a surprisingly accurate model of the first three waves of the COVID-19 pandemic in the U.S.
  • MARGIN TECHNOLOGY NOTES AND END-OF-CHAPTER TECHNOLOGY GUIDES PROVIDE LEARNING SUPPORT. Brief marginal technology notes outline the use of graphing calculator, spreadsheet and website technology in appropriate examples. When necessary, notes refer the reader to more detailed discussion in an end-of-chapter Technology Guide. These optional Guides provide detailed instruction on using TI-83/84 Plus and spreadsheets. You can use this material or not, as you prefer. Exercise sets throughout this edition clearly indicate when the use of technology is suggested or required.
  • PROVEN AUTHOR WEBSITE OFFERS POWERFUL INSTRUCTOR RESOURCES. The authors' website, AppliedMathSite.net -- almost three decades strong -- provides powerful online utilities for the classroom. Tools support everything from graphing and evaluating functions and matrix operations to solving linear programming problems both graphically and with the simplex method. Use interactive and game tutorials to encourage class participation. Learning and practice modules with built-in, adaptive practice are also available. An online interactive text and exercises explore topics beyond the printed book.
  • COMMUNICATION AND REASONING EXERCISES STRENGTHEN SKILLS IN WRITING AND DISCUSSION. These exercises, which often have no single correct answer, are designed to broaden students’ grasp of the mathematical concepts and strengthen their modeling skills. Some exercises ask students to provide their own examples to illustrate a point or design an application for a given solution. Exercises also include "fill-in-the-blank," discussion and debate and practice that requires students to identify common errors.

Table of Contents

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0. PRECALCULUS REVIEW.
Real Numbers. Exponents and Radicals. Using Exponent Identities 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. The Number e and Exponential Growth and Decay. Logistic and Logarithmic Functions and Models..
3. INTRODUCTION TO THE DERIVATIVE.
Limits: Numerical and GraphicalViewpoints. Limits and Continuity. Limits: Algebraic Viewpoint. 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. The Fundamental Theorem of Calculus.
7. FURTHER INTEGRATION TECHNIQUES AND APPLICATIONS OF THE INTEGRAL.
Integration by Parts. Area Between Two Curves. 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.

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.

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PowerPoint® on Instructor Companion Website for Waner/Costenoble's Applied Calculus, 8th

ISBN13:9780357723524
ISBN10:035772352X
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Student Solutions Manual for Waner/Costenoble's Applied Calculus, 8th

ISBN13:9780357723500
ISBN10:0357723503
Student Solutions Manual

Complete Solutions Manual on Instructor Companion Website for Waner/Costenoble's Applied Calculus, 8th

ISBN13:9780357723517
ISBN10:0357723511
Complete solutions to all the exercises in the text. Available as a downloadable pdf on the instructor companion site.

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Applied Calculus

  • ISBN-10: 0357723481
  • ISBN-13: 9780357723487

Price USD$ 274.95

eBook: Applied Calculus 12Months

  • ISBN-10: 8000040344
  • ISBN-13: 9788000040349

Price USD$ 44.99

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