Applied Calculus by Berresford

Description: About this productProduct InformationThis book uses intriguing real-world applications to engage readers' interest and show them the practical side of calculus. Its many applications are related to finance, business, and such general-interest topics as learning curves in airplane production, the age of the Dead Sea Scrolls, Apple and Oracle stock prices, the distance traveled by sports cars, lives saved by seat belts, and the cost of a congressional victory. The Seventh Edition maintains the hallmark features that have made APPLIED CALCULUS so popular: contemporary and interesting applications; careful and effective use of technology, including graphing calculator and spreadsheet coverage; constant pedagogical reinforcement through section summaries, chapter summaries, annotated examples, and extra practice problems; Just-in-Time algebra review material; and a variety of exercises that allow readers to practice and hone their problem-solving skills. This edition also includes a new Algebra Review appendix to help readers brush up on skills needed for calculus.Product IdentifiersPublisherCengage LearningISBN-101305085310ISBN-139781305085312eBay Product ID (ePID)204284640Product Key FeaturesNumber of Pages864 PagesLanguageEnglishPublication NameApplied CalculusPublication Year2015SubjectAlgebra / Elementary, Calculus, AppliedFeaturesRevisedTypeTextbookSubject AreaMathematicsAuthorGeoffrey C. Berresford, Andrew M. RockettFormatHardcoverDimensionsItem Height1.5 inItem Weight72 OzItem Length11.2 inItem Width8.7 inAdditional Product FeaturesEdition Number7Intended AudienceCollege AudienceLCCN2014-946320Dewey Edition23ReviewsUser-friendly. Both students and instructors will find this textbook easy to read, understand, and apply.IllustratedYesDewey Decimal515Edition DescriptionRevised EditionLc Classification NumberQa303.2Table of ContentPreface.Integrating Excel.Diagnostic Test.1. FUNCTIONS.Real Numbers, Inequalities, and Lines. Exponents. Functions: Linear and Quadratic. Functions: Polynomial, Rational, and Exponential. Chapter Summary with Hints and Suggestions. Review Exercises and Chapter Test.2. DERIVATIVES AND THEIR USES. Limits and Continuity. Rates of Change, Slopes, and Derivatives. Some Differentiation Formulas. The Product and Quotient Rules. Higher-Order Derivatives. The Chain Rule and the Generalized Power Rule. Nondifferentiable Functions. Chapter Summary with Hints and Suggestions. Review Exercises and Chapter Test.3. FURTHER APPLICATIONS OF DERIVATIVES. Graphing Using the First Derivative. Graphing Using the First and Second Derivatives. Optimization. Further Applications of Optimization. Optimizing Lot Size and Harvest Size. Implicit Differentiation and Related Rates. Differentials, Approximations, and Marginal Analysis. Chapter Summary with Hints and Suggestions. Review Exercises and Chapter Test. Cumulative Review for Chapters 13.4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Logarithmic Functions. Differentiation of Logarithmic and Exponential Functions. Two Applications to Economics: Relative Rates and Elasticity of Demand. Chapter Summary with Hints and Suggestions. Review Exercises and Chapter Test.5. INTEGRATION AND ITS APPLICATIONS. Antiderivatives and Indefinite Integrals. Integration Using Logarithmic and Exponential Functions. Definite Integrals and Areas. Further Applications of Definite Integrals: Average Value and Area Between Curves. Two Applications to Economics: Consumers' Surplus and Income Distribution. Integration by Substitution. Chapter Summary with Hints and Suggestions. Review Exercises and Chapter Test.6. INTEGRATION TECHNIQUES. Integration by Parts. Integration Using Tables. Improper Integrals. Numerical Integration. Chapter Summary with Hints and Suggestions. Review Exercises and Chapter Test.7. CALCULUS OF SEVERAL VARIABLES. Functions of Several Variables. Partial Derivatives. Optimizing Functions of Several Variables. Least Squares. Lagrange Multipliers and Constrained Optimization. Total Differentials, Approximate Changes, and Marginal Analysis. Multiple Integrals. Chapter Summary with Hints and Suggestions. Review Exercises and Chapter Test. Cumulative Review for Chapters 17.8. TRIGONOMETRIC FUNCTIONS. Triangles, Angles, and Radian Measure. Sine and Cosine Functions. Derivatives of Sine and Cosine Functions. Integrals of Sine and Cosine Functions. Other Trigonometric Functions. Chapter Summary with Hints and Suggestions. Review Exercises and Chapter Test.9. DIFFERENTIAL EQUATIONS. Separation of Variables. Further Applications of Differential Equations: Three Models of Growth. First-Order Linear Differential Equations. Approximate Solutions of Differential Equations: Euler's Method. Chapter Summary with Hints and Suggestions. Review Exercises and Chapter Test.10. SEQUENCES AND SERIES. Geometric Series. Taylor Polynomials. Taylor Series. Newton's Method. Chapter Summary with Hints and Suggestions. Review Exercises and Chapter Test.11. PROBABILITY. Discrete Probability. Continuous Probability. Uniform and Exponential Random Variables. Normal Random Variables. Chapter Summary with Hints and Suggestions. Review Exercises and Chapter Test. Cumulative Review for Chapters 111.APPENDICES.A. Graphing Calculator Basics. B. Algebra Review. C. Normal Probabilities from Tables. Answers to Selected Exercises.Copyright Date2016

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