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Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition
ISBN: 9780077297886 | 0077297881
Edition: 10thFormat: Hardcover
Publisher: McGraw-Hill Science/Engineering/Math
Pub. Date: 1/1/2009
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Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Editionprovides a sound, intuitive understanding of the basic concepts students need as they pursue careers in business, economics, and the life and social sciences. Students achieve success using this text as a result of the author's applied and real-world orientation to concepts, problem-solving approach, straight forward and concise writing style, and comprehensive exercise sets. More than 100,000 students worldwide have studied from this text!
| Functions, Graphs, and Limits | |
| Functions | |
| The Graph of a Function | |
| Linear Functions | |
| Functional Models | |
| Limits | |
| One-Sided Limits and Continuity | |
| Differentiation: Basic Concepts | |
| The Derivative | |
| Techniques of Differentiation | |
| Product and Quotient Rules; Higher-Order Derivatives | ... MORE |
| The Chain Rule | |
| Marginal Analysis and Approximations Using Increments | |
| Implicit Differentiation and Related Rates | |
| Additional Applications of the Derivative | |
| Increasing and Decreasing Functions; Relative Extrema | |
| Concavity and Points of Inflection | |
| Curve Sketching | |
| Optimization; Elasticity of Demand | |
| Additional Applied Optimization | |
| Exponential and Logarithmic Functions | |
| Exponential Functions: Continuous Compounding | |
| Logarithmic Functions | |
| Applications; Exponential Models | |
| Integration | |
| Antidifferentiation: The Indefinite Integral | |
| Integration by Substitution | |
| The Definite Integral and the Fundamental Theorem of Calculus | |
| Applying Definite Integration: Area Between Curves and Average Value | |
| Additional Applications to Business and Economics | |
| Additional Applications to the Life and Social Sciences | |
| Additional Topics in Integration | |
| Integration by Parts; Integral Tables | |
| Improper Integrals | |
| Numerical Integration | |
| Calculus of Several Variables | |
| Functions of Several Variables | |
| Partial Derivatives | |
| Optimizing Functions of Two Variables | |
| The Method of Least-Squares | |
| Constrained Optimization: The Method of Lagrange Multipliers | |
| Double Integrals | |
| Differential Equations | |
| Introduction to Differential Equations | |
| First-Order Linear Differential Equations | |
| Additional Applications of Differential Equations | |
| Approximate Solutions of Differential Equations | |
| Difference Equations; The Cobweb Model | |
| Infinite Series and Taylor Series Approximations | |
| Infinite Series; Geometric Series | |
| Tests for Convergence | |
| Functions as Power Series; Taylor Series | |
| Probability and Calculus | |
| Introduction to Probability; Discrete Random Variables | |
| Continuous Random Variables | |
| Expected Value and Variance of Continuous Random Variables | |
| Normal and Poisson Probability Distributions | |
| Trigonometric Functions | |
| The Trigonometric Functions | |
| Differentiation and Integration of Trigonometric Functions | |
| Additional Applications Involving Trigonometric Function | |
| Algebra Review | |
| A Brief Review of Algebra | |
| Factoring Polynomials and Solving Systems of Equations | |
| Evaluating Limits with L’Hopital’s Rule | |
| The Summation Notation | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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