Calculus: An Applied Approach 10th Edition

Ron Larson

  • Copyright 2017
  • Published
  • Available with:
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Overview

Motivate your students and foster their understanding and mastery with CALCULUS: AN APPLIED APPROACH. Designed for business, economics, or life/social sciences majors, this resource 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. Pedagogical features -- from algebra review to study tips -- provide extra guidance and practice. The tenth edition is supported by optional digital learning solutions including Enhanced WebAssign and MindTap® Math.

Meet the Author

Ron Larson, The Pennsylvania State University, The Behrend College

Dr. Ron Larson is a professor of mathematics at The Pennsylvania State University, where he has taught since 1970. He received his Ph.D. in mathematics from the University of Colorado and is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson conducts numerous seminars and in-service workshops for math educators around the country about using computer technology as an instructional tool and motivational aid. He is the recipient of the 2014 William Holmes McGuffey Longevity Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, the 2014 Text and Academic Authors Association TEXTY Award for PRECALCULUS, the 2012 William Holmes McGuffey Longevity Award for CALCULUS: AN APPLIED APPROACH, and 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). Dr. Larson authors numerous textbooks including the best-selling Calculus series published by Cengage Learning.

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MindTap® is the digital learning solution that powers students from memorization to mastery. It gives you complete control of your course—to provide engaging content, to challenge every individual, and to build their confidence. Empower students to accelerate their progress with MindTap.

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Features & Benefits

  • A wide variety of relevant examples--each of which is titled for easy reference--includes solutions presented graphically, analytically, and/or numerically to provide further insight into mathematical concepts. Examples that illustrate real-life situations are identified with an icon.
  • ENHANCED WEBASSIGN: CALCULUS: AN APPLIED APPROACH, BRIEF, 10th Edition, is fully supported by Enhanced WebAssign (EWA), the powerful online homework and course management system that engages students in learning the math. EWA includes new end-of-chapter exercises and pre-built assignments vetted by trusted subject matter experts along with robust course, section, assignment, and question settings and online testing to help instructors foster a deeper understanding of course concepts.
  • 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.
  • For instructors who wish to incorporate technology, optional Tech Tutor boxes provide guidance on using technology to ease lengthy calculations, present a graphical solution, or discuss where using technology can lead to misleading or wrong solutions. In addition, exercises requiring technology are identified with a graphing calculator icon.
  • A Summarize feature guides students in creating section-level concept summaries-- helping them process and organize key concepts while providing a valuable study tool.
  • 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.
  • The CalcChat.com website provides tutorial help and worked-out solutions to the odd-numbered exercises in the text.

Table of Contents

Calculus: An Applied Approach

TABLE OF CONTENTS

1. Functions, Graphs, and Limits.
2. Differentiation.
3. Applications of the Derivative.
4. Exponential and Logarithmic Functions.
5. Integration and Its Applications.
6. Techniques of Integration.
7. Functions of Several Variables.
8. Trigonometric Functions.
9. Probability and Calculus.
10. Series and Taylor Polynomials.
11. Differential Equations.
Appendix A. Precalculus Review.
The Real Number Line and Order. Absolute Value of a Real Number. 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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Calculus: An Applied Approach, Brief

TABLE OF CONTENTS

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.
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Supplements

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

Instructor's Edition for Calculus: An Applied Approach, 10e

ISBN: 9781305860933
Instructor Sample/Review copy of Calculus: An Applied Approach, 10e.