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See Most Recent Edition

Calculus: An Applied Approach, 9th Edition

Ron Larson

  • Copyright 2013
  • {{checkPublicationMessage('Published', '2012-01-01T00:00:00+0000')}}
Starting At $49.95 See pricing and ISBN options
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Calculus: An Applied Approach 9th Edition by Ron Larson
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Overview

Designed specifically for business, economics, or life/social sciences majors, CALCULUS: AN APPLIED APPROACH, Ninth Edition, motivates students while fostering understanding and mastery. The book emphasizes integrated and engaging applications that show students the real-world relevance of topics and concepts. Applied problems drawn from government sources, industry, current events, and other disciplines provide well-rounded examples and appeal to students' diverse interests. The Ninth Edition builds upon its applications emphasis through updated exercises and relevant examples. Pedagogical features--from algebra review to study tips--continue to provide extra guidance and practice. In addition, the text offers a strong support package--including Enhanced WebAssign and the book's website, CourseMate--that allows students to review the material independently and retain key concepts.

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Meet the Authors

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Ron Larson

Dr. Ron Larson is a professor of mathematics at the Pennsylvania State University, where he has taught since 1970. He is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored more than 30 software titles since 1990. Dr. Larson has also authored numerous acclaimed textbooks, including the best-selling calculus series coauthored with Dr. Bruce Edwards and published by Cengage. Dr. Larson received the 2017 William Holmes McGuffey Longevity Award for PRECALCULUS and for CALCULUS. He also received the 2018 Text and Academic Authors Association TEXTY Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS. In addition, Dr. Larson received the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS -- a complete text on CD-ROM that was the first mainstream college textbook to be offered on the internet.

What's New

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  • New! A new closing chapter, "Differential Equations," includes topics on solutions of differential equations, separation of variables, and first-order linear differential equations.
  • New! A Summarize feature guides students in creating section-level concept summaries-- helping them process and organize key concepts while providing a valuable study tool.
  • New! How Do You See It? exercises ask students to draw conclusions about information presented visually. Requiring little or no calculation, these exercises check students' conceptual understanding of key concepts.
  • New and Updated! Projects, which appear in selected sections, connect real-life data and applications and give your students the opportunity to generate and analyze mathematical models from large data sets.
  • New! 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.

Features

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  • Every section begins with a list of objectives that highlights the learning outcomes of that section and provides instructors with a tool for lesson planning.
  • Appearing in the middle of each chapter, Mid-Chapter Quizzes are single-page tests that let students practice skills and concepts learned in the chapter. This opportunity for self-assessment helps uncover potential weaknesses that might require further review of the material.
  • Revised! Section-ending Business Capsules and accompanying exercises address business situations related to the mathematical concepts covered in the chapter.
  • Revised! At the beginning of each exercise set, Skills Warm Up exercises give students practice of skills covered in previous sections that are used in the exercise set; answers are provided at the back of the text to reinforce understanding.
  • Updated! The Exercise Sets have been revised based on actual student usage data to improve student comprehension. Approximately 5,000 exercises progress from skill-development problems to more challenging, real-world applications--all of which can be customized to the difficulty level of the instructor's choice.

Table of Contents

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1. FUNCTIONS, GRAPHS, AND LIMITS.
The Cartesian Plane and the Distance Formula. Graphs of Equations. Lines in the Plane and Slope. Functions. Limits. Continuity.
2. DIFFERENTIATION.
The Derivative and the Slope of a Graph. Some Rules for Differentiation. Rates of Change: Velocity and Marginals. The Product and Quotient Rules. The Chain Rule.
Higher-Order Derivatives. Implicit Differentiation. Related Rates.
3. APPLICATIONS OF THE DERIVATIVE.
Increasing and Decreasing Functions. Extrema and the First-Derivative Test. Concavity and the Second-Derivative Test. Optimization Problems. Business and Economics Applications. Asymptotes. Curve Sketching: A Summary. Differentials and Marginal Analysis.
4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions. Natural Exponential Functions. Derivatives of Exponential Functions. Logarithmic Functions. Derivatives of Logarithmic Functions. Exponential Growth and Decay.
5. INTEGRATION AND ITS APPLICATIONS.
Antiderivatives and Indefinite Integrals. Integration by Substitution and the General Power Rule. Exponential and Logarithmic Integrals. Area and the Fundamental Theorem of Calculus. The Area of a Region Bounded by Two Graphs. The Definite Integral as the Limit of a Sum.
6. TECHNIQUES OF INTEGRATION.
Integration by Parts and Present Value. Integration Tables. Numerical Integration. Improper Integrals.
7. FUNCTIONS OF SEVERAL VARIABLES.
The Three-Dimensional Coordinate System. Surfaces in Space. Functions of Several Variables. Partial Derivatives. Extrema of Functions of Two Variables. Lagrange Multipliers. Least Squares Regression Analysis. Double Integrals and Area in the Plane.
Applications of Double Integrals.
8. TRIGONOMETRIC FUNCTIONS.
Radian Measure of Angles. The Trigonometric Functions. Graphs of Trigonometric Functions. Derivatives of Trigonometric Functions. Integrals of Trigonometric Functions.
9. PROBABILITY AND CALCULUS.
Discrete Probability. Continuous Random Variables. Expected Value and Variance.
10. SERIES AND TAYLOR POLYNOMIALS.
Sequences. Series and Convergence. p-Series and the Ratio Test. Power Series and Taylor's Theorem. Taylor Polynomials. Newton's Method.
11. DIFFERENTIAL EQUATIONS.
Solutions of Differential Equations. Separation of Variables. First-Order Linear Differential Equations. Applications of Differential Equations.
Appendix A. Precalculus Review.
The Real Number Line and Order. Absolute Value and Distance on the Real Number Line. Exponents and Radicals. Factoring Polynomials. Fractions and Rationalization.
Appendix B. Alternative Introduction to the Fundamental Theorem of Calculus.
Appendix C. Formulas.

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Traditional eBook and Print Options

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  • ISBN-10: 1133879284
  • ISBN-13: 9781133879282
  • RETAIL $77.95

  • ISBN-10: 1133109284
  • ISBN-13: 9781133109280
  • RETAIL $246.95
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Supplements

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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.

FOR INSTRUCTORS

WebAssign - Start Smart Guide for Students

ISBN: 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.

FOR STUDENTS

WebAssign - Start Smart Guide for Students

ISBN: 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.