Brief Applied Calculus Geoffrey C. 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 BRIEF APPLIED CALCULUS so popular: contemporary and interesting applications including many that are new or updated); 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.Product IdentifiersPublisherCengage LearningISBN-101305085329ISBN-139781305085329eBay Product ID (ePID)204218695Product Key FeaturesAuthorGeoffrey C. Berresford, Andrew M. RockettPublication NameBrief Applied CalculusFormatHardcoverLanguageEnglishFeaturesRevisedPublication Year2015TypeTextbookNumber of Pages656 PagesDimensionsItem Length11.2in.Item Height1.1in.Item Width8.8in.Item Weight54.4 OzAdditional Product FeaturesLc Classification NumberQa303.2Edition DescriptionRevised EditionEdition Number7ReviewsThe exercises at the end of each section are particularly good, many use real data with citations to the original sources. The variety of exercises and various levels of difficulty are very, very good."Table 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 1-3. 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. Differential Equations. Further Applications of Differential Equations: Three Models of Growth. 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 1-7. APPENDICES. A. Graphing Calculator Basics. B. Algebra Review. Answers to Selected Exercises.Copyright Date2016Target AudienceCollege AudienceTopicAlgebra / Elementary, Calculus, AppliedLccn2014-946321Dewey Decimal515Dewey Edition23IllustratedYesGenreMathematics

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