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

Chapter 1: Functions, Graphs, and Limits

1.1 Functions

1.2 The Graph of a Function

1.3 Lines and 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 Additional Applications; Exponential Models

Chapter 5: Integration

5.1 Indefinite Integration and Differential Equations

5.2 Integration by Substitution

5.3 The Definite Integral and the Fundamental Theorem of Calculus

5.4 Applying Definite Integration: Distribution of Wealth 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 Numerical Integration

6.3 Improper Integrals

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: Trigonometric Functions

8.1 Angle Measurement; Trigonometric Functions

8.2 Trigonometric Applications Involving Differentiation

8.3 Trigonometric Applications Involving Integration

Chapter 9: Differential Equations

9.1 Modeling with Differential Equations

9.2 First-Order Linear Differential Equations

9.3 Additional Applications of Differential Equations

9.4 Approximate Solutions of Differential Equations

9.5 Difference Equations; The Cobweb Model

Chapter 10: Infinite Series and Taylor Series Approximations

10.1 Infinite Series; Geometric Series

10.2 Tests for Convergence

10.3 Functions as Power Series; Taylor Series

Chapter 11: Probability and Calculus

11.1 Introduction to Probability; Discrete Random Variables

11.2 Continuous Probability Distributions

11.3 Expected Value and Variance of Continuous Random Variables

10.4 Normal and Poisson Probability Distributions

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

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!