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Applied Calculus for the Managerial, Life, and Social Sciences
ISBN: 9780495383123 | 0495383120
Edition: 7thFormat: Hardcover
Publisher: Cengage Learning
Pub. Date: 12/29/2006
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This text helps you succeed in applied calculus by using clear explanations, real-life examples, and up-to-date technology. Real-life applications-such as satellite radio subscriptions, Google's revenue, job outsourcing, and the effects of smoking bans-are drawn from the areas of business and the behavioral, life, and social sciences. Portfolio profiles give you a firsthand look at how real-world professionals use applied calculus in their work. You can also take advantage of extensive online support to enhance your learning, including video in... MORE
| Preliminaries | |
| Precalculus Review | |
| Precalculus Review II | |
| The Cartesian Coordinate System | |
| Straight Lines | |
| Functions, Limits, and the Derivative | |
| Functions and Their Graphs | |
| The Algebra of Functions | |
| Functions and Mathematical Models | |
| Limits | |
| One-Sided Limits and Continuity | ... MORE |
| Derivative | |
| Differentiation | |
| Basic Rules of Differentiation | |
| The Product and Quotient Rules | |
| The Chain Rule | |
| Marginal Functions in Economics | |
| Higher-Order Derivatives | |
| Implicit Differentiation and Related Rates | |
| Differentials | |
| Applications of the Derivative | |
| Applications of the First Derivative | |
| Applications of the Second Derivative | |
| Curve Sketching | |
| Optimization | |
| Optimization II | |
| Exponential and Logarithmic Functions | |
| Exponential Functions | |
| Logarithmic Functions | |
| Compound Interest | |
| Differentiation of Exponential Functions | |
| Differentiation of Logarithmic Functions | |
| Exponential Functions as Mathematical Models | |
| Integration | |
| Antiderivatives and the Rules of Integration | |
| Integration by Substitution | |
| Area and the Definite Integral | |
| The Fundamental Theorem of Calculus | |
| Evaluating Definite Integrals | |
| Area Between Two Curves | |
| Applications of the Definite Integral to Business and Economics | |
| Volumes of Solids of Revolution | |
| Additional Topics in Integration | |
| Integration by Parts | |
| Integration Using Tables of Integrals | |
| Numerical Integration | |
| Improper Integrals | |
| Calculus of Several Variables | |
| Functions of Several Variables | |
| Partial Derivatives | |
| Maxima and Minima of Functions of Several Variables | |
| The Method of Least Squares | |
| Constrained Maxima and Minima and the Method of Lagrange Multipliers | |
| Total Differentials | |
| Double Integrals | |
| Applications of Double Integrals | |
| Differential Equations | |
| Differential Equations | |
| Separation of Variables | |
| Applications of Separable Differential Equations | |
| Approximate Solutions of Differential Equations | |
| Probability and Calculus | |
| Probability Distributions of Random Variables | |
| Expected Value and Standard Deviation | |
| Normal Distributions | |
| Taylor Polynomials and Infinite Series | |
| Taylor Polynomials | |
| Infinite Sequences | |
| Infinite Series | |
| Series with Positive Terms | |
| Power Series and Taylor Series | |
| More on Taylor Series | |
| The Newton's Method | |
| Trigonometric Functions | |
| Measurement of Angles | |
| The Trigonometric Functions | |
| Differentiation of Trigonometric Functions | |
| Integration of Trigonometric Functions | |
| Inverse Functions | |
| Table | |
| Answers to Odd-Numbered Exercises | |
| Index | |
| Table of Contents provided by Publisher. All Rights Reserved. |
