Applied Calculus for the Managerial, Life, and Social Sciences : A Brief Approach
ISBN: 9780538498906 | 0538498900
Edition: 9thFormat: Hardcover
Publisher: Cengage Learning
Pub. Date: 1/1/2011
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Market-leading APPLIED CALCULUS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES: A BRIEF APPROACH, Ninth Edition, applies math to your world in fun and interesting ways. It delivers just the right balance of teaching, technology, and enlightening real-life examples. And when it comes to study time, the Ninth Edition offers an exciting array of supplements that maximize your efforts and improve your results.
| Preface | |
| Preliminaries | |
| Precalculus Review | |
| PrecalculusReview II | |
| The Cartesian Coordinate System | |
| Straight Lines | |
| Summary of Principal Formulas and Terms | |
| Concept Review Questions | |
| Review Exercises | |
| Before Moving On | |
| Functions, Limits, And The Derivative | |
| Fun... MORE | |
| The Algebra of Functions | |
| Functions and Mathematical Models | |
| Portfolio | |
| Using Technology: Finding the Points of Intersection of Two Graphs and Modeling | |
| Limits | |
| Using Technology: Finding the Limit of a Function | |
| One-Sided Limits and Continuity | |
| Using Technology: Finding the Points of Discontinuity of a Function | |
| The Derivative | |
| Using Technology: Graphing a Function and Its Tangent Line | |
| Summary of Principal Formulas and Terms | |
| Concept Review Questions | |
| Review Exercises | |
| Before Moving On | |
| Differentiation | |
| Basic Rules of Differentiation | |
| Using Technology: Finding the Rate of Change of a Function | |
| The Product and Quotient Rules | |
| Using Technology: The Product and Quotient Rules | |
| The Chain Rule | |
| Using Technology: Finding the Derivative of a Composite Function | |
| Marginal Functions in Economics | |
| Higher-Order Derivatives | |
| Using Technology: Finding the Second Derivative of a Function at a Given Point | |
| Implicit Differentiation and Related Rates | |
| Differentials | |
| Using Technology: Finding the Differential of a Function | |
| Summary of Principal Formulas and Terms | |
| Concept Review Questions | |
| Review Exercises | |
| Before Moving On | |
| Applications Of The Derivative | |
| Applications of the First Derivative | |
| Using Technology: Using the First Derivative to Analyze a Function | |
| Applications of the Second Derivative | |
| Using Technology: Finding the Inflection Points of a Function | |
| Curve Sketching | |
| Using Technology: Analyzing the Properties of a Optimization | |
| UsingTechnology: Finding the Absolute Extrema of a Function | |
| Optimization II | |
| Summary of Principal Terms | |
| Concept Review Questions | |
| Review Exercises | |
| Before Moving On | |
| Exponential And Logarithmic Functions | |
| Exponential Functions | |
| Using Technology | |
| Logarithmic Functions | |
| Compound IntereSt. Using Technology: Finding the Accumulated Amount of an Investment, the Effective Rate of Interest, and the Present Value of an Investment | |
| Differentiation of Exponential Functions | |
| Using Technology | |
| Differentiation of Logarithmic Functions | |
| Exponential Functions as Mathematical Models | |
| Portfolio | |
| Using Technology: Analyzing Mathematical Models | |
| Summary of Principal Formulas and Terms | |
| Concept Review Questions | |
| Review Exercises | |
| Before Moving On | |
| Integration | |
| Antiderivatives and the Rules of Integration | |
| Integration by Substitution | |
| Area and the Definite Integral | |
| The Fundamental Theorem of Calculus | |
| Portfolio | |
| Using Technology: Evaluating Definite Integrals | |
| Evaluating Definite Integrals | |
| Using Technology: Evaluating Integrals for Piecewise-Defined Functions | |
| Area between Two Curves | |
| Using Technology: Finding the Area between Two Curves | |
| Applications of the Definite Integral to Business and Economics | |
| Using Technology: Business and Economic Applications/Technology Exercises | |
| Summary of Principal Formulas and Terms | |
| Concept Review Questions | |
| Review Exercises | |
| Before Moving On | |
| Additional Topics In Integration | |
| Integration by Parts | |
| Integration Using Tables of Integrals | |
| Numerical Integration | |
| Improper Integrals | |
| Applications of Calculus to Probability | |
| Summary of Principal Formulas and Terms | |
| Concept Review Questions | |
| Review Exercises | |
| Before Moving On | |
| Calculus Of Several Variables | |
| Functions of Several Variables | |
| Partial Derivatives | |
| Portfolio | |
| Using Technology: Finding Partial Derivatives at a Given Point | |
| Maxima and Minima of Functions of Several Variables | |
| The Method of Least Squares | |
| Using Technology: Finding an Equation of Least-Squares Line | |
| Constrained Maxima and Minima and the Method of Lagrange Multipliers | |
| Double Integrals | |
| Summary of Principal Formulas and Terms | |
| Concept Review Questions | |
| Review Exercises | |
| Before Moving On | |
| The Inverse of a Function | |
| The Graphs of Inverse Functions | |
| Functions That Have Inverses | |
| Finding the Inverse of a Function | |
| Indeterminant Forms and l'H?pital's Rule | |
| The Indeterminant Forms 0/0 and 8/8 | |
| Index | |
| Table of Contents provided by Publisher. All Rights Reserved. |
