Applied Calculus: For Business, Economics, and the Social and Life Sciences, 11th Expanded Edition

Cover Page
Half Title Page
Title Page
Copyright Page
Dedication
Contents
Preface
Acknowledgments
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 Summary
		Important Terms, Symbols, and Formulas
		Checkup for Chapter 1
		Review Exercises
	Explore! Update
	Think About It
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 Summary
		Important Terms, Symbols, and Formulas
		Checkup for Chapter 2
		Review Exercises
	Explore! Update
	Think About It
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 Summary
		Important Terms, Symbols, and Formulas
		Checkup for Chapter 3
		Review Exercises
	Explore! Update
	Think About It
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 Summary
		Important Terms, Symbols, and Formulas
		Checkup for Chapter 4
		Review Exercises
	Explore! Update
	Think About It
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 of Integration to Business and Economics
	5.6 Additional Applications of Integration to the Life and Social Sciences
	Chapter Summary
		Important Terms, Symbols, and Formulas
		Checkup for Chapter 5
		Review Exercises
	Explore! Update
	Think About It
Chapter 6 Additional Topics in Integration
	6.1 Integration by Parts; Integral Tables
	6.2 Numerical Integration
	6.3 Improper Integrals
	Chapter Summary
		Important Terms, Symbols, and Formulas
		Checkup for Chapter 6
		Review Exercises
	Explore! Update
	Think About It
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 Summary
		Important Terms, Symbols, and Formulas
		Checkup for Chapter 7
		Review Exercises
	Explore! Update
	Think About It
Chapter 8 Trigonometric Functions
	8.1 Angle Measurement; Trigonometric Functions
	8.2 Trigonometric Applications Involving Differentiation
	8.3 Trigonometric Applications Involving Integration
	Chapter Summary
		Important Terms, Symbols, and Formulas
		Checkup for Chapter 8
		Review Exercises
	Explore! Update
	Think About It
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 Summary
		Important Terms, Symbols, and Formulas
		Checkup for Chapter 9
		Review Exercises
	Explore! Update
	Think About It
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 Summary
		Important Terms, Symbols, and Formulas
		Checkup for Chapter 10
		Review Exercises
	Explore! Update
	Think About It
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
	11.4 Normal and Poisson Probability Distributions
	Chapter Summary
		Important Terms, Symbols, and Formulas
		Checkup for Chapter 11
		Review Exercises
	Explore! Update
	Think About It
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?H?pital?s Rule
	A.4 The Summation Notation
	Appendix Summary
		Important Terms, Symbols, and Formulas
		Review Exercises
	Think About It
I Powers of e
II The Natural Logarithm (Base e)
III Trigonometric Functions
Answers to Odd-Numbered Exercises, Checkup Exercises, and Review Exercises
Index