Calculus: An Applied Approach, Enhanced Edition (with Enhanced WebAssign 1-Semester Printed Access Card) / Edition 8

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Overview

Designed specifically for business, economics, or life/social sciences majors, CALCULUS: AN APPLIED APPROACH, 8e, 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. Several pedagogical features—from algebra review to study tips—provide extra guidance and practice. The Eighth Edition builds upon its applications emphasis through updated exercises and relevant examples. Applied problems drawn from government sources, industry, current events, and other disciplines provide well-rounded examples and appeal to diverse interests. This Enhanced Edition includes instant access to Enhanced WebAssign, the most widely-used and reliable homework system. Enhanced WebAssign presents over a thousand problems, links to relevant textbook sections, video examples, problem-specific tutorials, and more, that help students grasp the concepts needed to succeed in this course. As an added bonus, the Start Smart Guide has been bound into this text. This guide contains instructions to help students learn the basics of WebAssign quickly.

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Product Details

  • ISBN-13: 9781439047781
  • Publisher: Cengage Learning
  • Publication date: 4/15/2009
  • Series: Available 2010 Titles Enhanced Web Assign Series
  • Edition description: Enhanced
  • Edition number: 8
  • Pages: 928
  • Product dimensions: 8.10 (w) x 10.30 (h) x 1.50 (d)

Meet the Author

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 2013 Text and Academic Authors Association Award for CALCULUS, the 2012 William Holmes McGuffey Longevity Award for CALCULUS: AN APPLIED APPROACH, the 2011 William Holmes McGuffey Longevity Award for PRECALCULUS: REAL MATHEMATICS, REAL PEOPLE, 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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Table of Contents

Note: Chapters 1-10 include a Mid-Chapter Review and conclude with an Algebra Review, Chapter Summary and Study Strategies, Review Exercises, and a Chapter Test. 0. 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. 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. 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. The General Power Rule and Substitution. 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. Partial Fractions and Logistic Growth. 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. Appendix A. Alternate Introduction to the Fundamental Theorem of Calculus. Appendix B. Formulas. Differentiation and Integration Formulas. Formulas from Business and Finance. Appendix C. Differential Equations. Solutions of Differential Equations. Separation of Variables. First-Order Linear Differential Equations. Applications of Differential Equations. Appendix D. Properties and Measurement (web only). Review of Algebra, Geometry, and Trigonometry. Units of Measurements. Appendix E. Graphing Utility Programs (web only). Graphing Utility Programs.

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  • Anonymous

    Posted December 15, 2000

    An outstanding book

    I would like all of you to enjoy the excitements in discovering calculus when you read this excellent calculus book. This is one of the best Calculus textbooks that I have seen.

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