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Full Description
Calculus with Applications, Tenth Edition (also available in a Brief Version containing Chapters 1-9) by Lial, Greenwell, and Ritchey, is our most applied text to date, making the math relevant and accessible for students of business, life science, and social sciences. Current applications, many using real data, are incorporated in numerous forms throughout the book, preparing students for success in their professional careers. With this edition, students will find new ways to get involved with the material, such as "Your Turn" exercises and "Apply It" vignettes that encourage active participation. Note: This is the standalone book, if you want the book/access card order the ISBN below; 0321760026 / 9780321760029 Calculus with Applications plus MyMathLab with Pearson eText -- Access Card Package Package consists of: 0321431308 / 9780321431301 MyMathLab/MyStatLab -- Glue-in Access Card 0321654064 / 9780321654069 MyMathLab Inside Star Sticker 0321749006 / 9780321749000 Calculus with Applications
Contents
R. Algebra ReferenceR.1 PolynomialsR.2 FactoringR.3 Rational ExpressionsR.4 EquationsR.5 InequalitiesR.6 ExponentsR.7 Radicals1. Linear Functions1.1 Slopes and Equations of Lines1.2 Linear Functions and Applications1.3 The Least Squares LineChapter 1 ReviewExtended Application: Using Extrapolation to Predict Life Expectancy2. Nonlinear Functions2.1 Properties of Functions2.2 Quadratic Functions; Translation and Reflection2.3 Polynomial and Rational Functions2.4 Exponential Functions2.5 Logarithmic Functions2.6 Applications: Growth and Decay; Mathematics of FinanceChapter 2 ReviewExtended Application: Characteristics of the Monkeyface Prickleback3. The Derivative3.1 Limits3.2 Continuity3.3 Rates of Change3.4 Definition of the Derivative3.5 Graphical DifferentiationChapter 3 ReviewExtended Application: A Model for Drugs Administered Intravenously4. Calculating the Derivative4.1 Techniques for Finding Derivatives4.2 Derivatives of Products and Quotients4.3 The Chain Rule4.4 Derivatives of Exponential Functions4.5 Derivatives of Logarithmic FunctionsChapter 4 ReviewExtended Application: Electrical Potential and Electric Field5. Graphs and the Derivative5.1 Increasing and Decreasing Functions5.2 Relative Extrema5.3 Higher Derivatives, Concavity, and the Second Derivative Test5.4 Curve SketchingChapter 5 ReviewExtended Application: A Drug Concentration Model for Orally Administered Medications6. Applications of the Derivative6.1 Absolute Extrema6.2 Applications of Extrema6.3 Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand6.4 Implicit Differentiation6.5 Related Rates6.6 Differentials: Linear ApproximationChapter 6 ReviewExtended Application: A Total Cost Model for a Training Program7. Integration7.1 Antiderivatives7.2 Substitution7.3 Area and the Definite Integral7.4 The Fundamental Theorem of Calculus7.5 The Area Between Two Curves7.6 Numerical IntegrationChapter 7 ReviewExtended Application: Estimating Depletion Dates for Minerals8. Further Techniques and Applications of Integration8.1 Integration by Parts8.2 Volume and Average Value8.3 Continuous Money Flow8.4 Improper IntegralsChapter 8 ReviewExtended Application: Estimating Learning Curves in Manufacturing with Integrals9. Multivariable Calculus9.1 Functions of Several Variables9.2 Partial Derivatives9.3 Maxima and Minima9.4 Lagrange Multipliers9.5 Total Differentials and Approximations9.6 Double IntegralsChapter 9 ReviewExtended Application: Using Multivariable Fitting to Create a Response Surface Design10. Differential Equations10.1 Solutions of Elementary and Separable Differential Equations10.2 Linear First-Order Differential Equations10.3 Euler's Method10.4 Applications of Differential EquationsChapter 10 ReviewExtended Application: Pollution of the Great Lakes11. Probability and Calculus11.1 Continuous Probability Models11.2 Expected Value and Variance of Continuous Random Variables11.3 Special Probability Density FunctionsChapter 11 ReviewExtended Application: Exponential Waiting Times12. Sequences and Series12.1 Geometric Sequences12.2 Annuities: An Application of Sequences12.3 Taylor Polynomials at 012.4 Infinite Series12.5 Taylor Series12.6 Newton's Method12.7 L'Hopital's RuleChapter 12 ReviewExtended Application: Living Assistance and Subsidized Housing13. The Trigonometric Functions13.1 Definitions of the Trigonometric Functions13.2 Derivatives of Trigonometric Functions13.3 Integrals of Trigonometric FunctionsChapter 13 ReviewExtended Application: The Shortest Time and The Cheapest Path
