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Calculus and Its Applications
ISBN: 9780321166395 | 0321166396
Edition: 9thFormat: Hardcover
Publisher: Addison Wesley
Pub. Date: 1/1/2008
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Calculus and Its Applications has, for years, been a best-selling text for one simple reason: it anticipates, then meets the needs of today's applied calculus student. Knowing that calculus is a course in which students typically struggle--both with algebra skills and visualizing new calculus concepts--Bittinger and Ellenbogen speak to students in a way they understand, taking great pains to provide clear and careful explanations.&Since most&students taking this course will go on to careers in the business world, &large quantities of real data,... MORE
| Functions, Graphs, and Models | |
| Graphs and Equations | |
| Functions and Models | |
| Finding Domain and Range | |
| Slope and Linear Functions | |
| Nonlinear Functions and Models | |
| Mathematical Modeling and Curve Fitting | |
| Extended Technology Application: Payrolls of Professional Basketball Teams | |
| Differentiation | |
| Limits: A Numer... MORE | |
| Algebraic Limits and Continuity | |
| Average Rates of Change | |
| Differentiation Using Limits of Difference Quotients | |
| Differentiation Techniques: The Power and Sum-Difference Rules | |
| Differentiation Techniques: The Product and Quotient Rules | |
| The Chain Rule | |
| Higher-Order Derivatives | |
| Extended Technology Application: Path of a Baseball: The Tale of the Tape | |
| Applications of Differentiation | |
| Using First Derivatives to Find Maximum and Minimum Values and Sketch Graphs | |
| Using Second Derivatives to Find Maximum and Minimum Values and Sketch Graphs | |
| Graph Sketching: Asymptotes and Rational Functions | |
| Using Derivatives to Find Absolute Maximum and Minimum Values | |
| Maximum-Minimum Problems: Business and Economics Applications | |
| Marginals and Differentials | |
| Implicit Differentiation and Related Rates | |
| Extended Technology Application: Maximum Sustainable Harvest | |
| Exponential and Logarithmic Functions | |
| Exponential Functions | |
| Logarithmic Functions | |
| Applications: The Uninhibited Growth Model, dP/dt = kP | |
| Applications: Decay | |
| The Derivatives of a x and logax | |
| An Economics Application: Elasticity of Demand | |
| Extended Technology Application: The Business of Motion Picture Box-Office Revenue | |
| Integration | |
| The Area Under a Graph | |
| Area, Antiderivatives, and Integrals | |
| Area and Definite Integrals | |
| Properties of Definite Integrals | |
| Integration Techniques: Substitution | |
| Integration Techniques: Integration by Parts | |
| Integration Techniques: Tables | |
| Extended Technology Application: Financial Predictions for Starbucks, Lowes, The Gap, and Intel | |
| Applications of Integration | |
| An Economics Application: Consumer Surplus and Producer Surplus | |
| Applications of the Models | |
| Improper Integrals | |
| Probability | |
| Probability: Expected Value The Normal Distribution | |
| Volume | |
| Differential Equations | |
| Extended Technology Application: Curve Fitting and the Volume of a Bottle of Soda | |
| Functions of Several Variables | |
| Functions of Several Variables | |
| Partial Derivatives | |
| Maximum-Minimum Problems | |
| An Application: The Least-Squares Technique | |
| Constrained Maximum and Minimum Values: Lagrange Multipliers | |
| Double Integrals | |
| Extended Technology Application: Minimizing Employees' Travel Time in a Building | |
| Cumulative Review | |
| Review of Basic Algebra | |
| Tables | |
| Integration Formulas | |
| Areas for a Standard Normal Distribution | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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