Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition
by Hoffmann, Laurence D.Edition: 9th
Format: Hardcover
Pub. Date: 2007-05-30
Publisher(s): McGraw-Hill Science/Engineering/Math
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Summary
Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition introduces calculus in real-world contexts and provides a sound, intuitive understanding of the basic concepts students need as they pursue careers in business, the life sciences, and the social sciences. This EXPANDED EDITION includes four additional chapters on Differential Equations, Infinite Series and Taylor Approximations, Probability, and Trigonometric Functions. The new Ninth Edition builds on the straightforward writing style, practical applications from a variety of disciplines, clear step-by-step problem solving techniques, and comprehensive exercise sets that have been hallmarks of Hoffmann/Bradley's success through the years.
Table of Contents
| Preface Calculator Introduction | |
| Functions, Graphs, and Limits | |
| Functions | |
| The Graph of a Function | |
| Linear Functions | |
| Functional Models | |
| Limits | |
| One-Sided Limits and Continuity Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 1 Review Problems Explore! Update Think About It | |
| Differentiation: Basic Concepts | |
| The Derivative | |
| Techniques of Differentiation | |
| Product and Quotient Rules; Higher Order Derivatives | |
| The Chain | |
| Marginal Analysis and Approximations Using Increments | |
| Implicit Differentiation and Related Rates Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 2 Review Problems Explore! Update Think About It | |
| Additional Applications of the Derivative | |
| Increasing and Decreasing Functions; Relative Extrema | |
| Concavity and Points of Inflection | |
| Curve Sketching | |
| Optimization | |
| Additional Applied Optimization Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 3 Review Problems Explore! Update Think About It | |
| Exponential and Logarithmic Functions | |
| Exponential Functions | |
| Logarithmic Functions | |
| Differentiation of Logarithmic and Exponential Functions | |
| Additional Exponential Models Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 4 Review Problems Explore! Update Think About It | |
| 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 | |
| Additional Applications to the Life and Social Sciences Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 5 Review Problems Explore! Update Think About It | |
| Additional Topics in Integration | |
| Integration by Parts; Integral Tables | |
| Improper Integrals | |
| Numerical Integration Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 6 Review Problems Explore! Update Think About It | |
| 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 Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 7 Review Problems Explore! Update Think About It | |
| Differential Equations | |
| Introduction to Differential Equations | |
| First-Order Linear Differential Equations | |
| Additional Applications of Differential Equations | |
| Approximate Solutions of Differential Equations | |
| Difference Equations Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 8 Review Problems Explore! Update Think About It | |
| Infinite Series and Taylor Series Approximations | |
| Infinite Series; Geometric Series | |
| Tests for Convergence | |
| Functions as Power Series; Taylor Series Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 9 Review Problems Explore! Update Think About It | |
| Probability and Calculus | |
| Discrete Random Variables | |
| Continuous Random Variables | |
| Expected Value and Variance of Continuous Random | |
| Normal and Poisson Probability Distributions Chapter Summary Important Terms, Symbols, and Formulas Checkup for Chapter 10 Review Problems Explore! Update Think About It | |
| Trigonometric Functions | |
| The Trigonometric Functions | |
| Differentiation and Integration of Trigonometric Functions | |
| Additional Applications Involving Trigonometric Function | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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