Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition / Edition 10

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Overview

Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition provides 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!

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Product Details

  • ISBN-13: 9780073532332
  • Publisher: McGraw-Hill Companies, The
  • Publication date: 1/28/2009
  • Edition description: New Edition
  • Edition number: 10
  • Pages: 1088

Table of Contents

Chapter 1: Functions, Graphs, and Limits

1.1 Functions

1.2 The Graph of a Function

1.3 Linear Functions

1.4 Functional Models

1.5 Limits

1.6 One-Sided Limits and Continuity


Chapter 2: Differentiation: Basic Concepts


2.1 The Derivative

2.2 Techniques of Differentiation

2.3 Product and Quotient Rules; Higher-Order Derivatives

2.4 The Chain Rule

2.5 Marginal Analysis and Approximations Using Increments

2.6 Implicit Differentiation and Related Rates


Chapter 3: Additional Applications of the Derivative


3.1 Increasing and Decreasing Functions; Relative Extrema

3.2 Concavity and Points of Inflection

3.3 Curve Sketching

3.4 Optimization; Elasticity of Demand

3.5 Additional Applied Optimization


Chapter 4: Exponential and Logarithmic Functions


4.1 Exponential Functions: Continuous Compounding

4.2 Logarithmic Functions

4.3 Differentiation of Exponential and Logarithmic Functions


4.4 Applications; Exponential Models


Chapter 5: Integration


5.1 Antidifferentiation: The Indefinite Integral

5.2 Integration by Substitution

5.3 The Definite Integral and the Fundamental Theorem of Calculus

5.4 Applying Definite Integration: Area Between Curves and Average Value

5.5 Additional Applications to Business and Economics

5.6 Additional Applications to the Life and Social Sciences


Chapter 6: Additional Topics in Integration


6.1 Integration by Parts; Integral Tables

6.2 Improper Integrals

6.3 Numerical Integration


Chapter 7: Calculus of Several Variables


7.1 Functions of Several Variables

7.2 Partial Derivatives

7.3 Optimizing Functions of Two Variables

7.4 The Method of Least-Squares

7.5 Constrained Optimization: The Method of Lagrange Multipliers

7.6 Double Integrals


Chapter 8: Differential Equations


8.1 Introduction to Differential Equations

8.2 First-Order Linear Differential Equations

8.3 Additional Applications of Differential Equations

8.4 Approximate Solutions of Differential Equations

8.5 Difference Equations; The Cobweb Model


Chapter 9: Infinite Series and Taylor Series Approximations


9.1 Infinite Series; Geometric Series

9.2 Tests for Convergence

9.3 Functions as Power Series; Taylor Series

Chapter 10: Probability and Calculus


10.1 Introduction to Probability; Discrete Random Variables

10.2 Continuous Random Variables

10.3 Expected Value and Variance of Continuous Random Variables

10.4 Normal and Poisson Probability Distributions


Chapter 11: Trigonometric Functions


11.1 The Trigonometric Functions

11.2 Differentiation and Integration of Trigonometric Functions

11.3 Additional Applications Involving Trigonometric Function


Appendix A: Algebra Review


A.1 A Brief Review of Algebra

A.2 Factoring Polynomials and Solving Systems of Equations

A.3 Evaluating Limits with L’Hopital’s Rule

A.4 The Summation Notation
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