Calculus for Business, Economics, Life Sciences, and Social Sciences

Front Cover
Title Page
Copyright Page
Contents
Preface
Diagnostic Prerequisite Test
Chapter 1 Functions and Graphs
	1.1 Functions
	1.2 Elementary Functions: Graphs and Transformations
	1.3 Linear and Quadratic Functions
	1.4 Polynomial and Rational Functions
	1.5 Exponential Functions
	1.6 Logarithmic Functions
	1.7 Right Triangle Trigonometry
	1.8 Trigonometric Functions
	Chapter 1 Summary and Review
	Review Exercises
Chapter 2 Limits and the Derivative
	2.1 Introduction to Limits
	2.2 Infinite Limits and Limits at Infinity
	2.3 Continuity
	2.4 The Derivative
	2.5 Basic Differentiation Properties
	2.6 Differentials
	2.7 Marginal Analysis in Business and Economics
	Chapter 2 Summary and Review
	Review Exercises
Chapter 3 Additional Derivative Topics
	3.1 the Constant E and Continuous Compound Interest
	3.2 Derivatives of Exponential and Logarithmic Functions
	3.3 Derivatives of Trigonometric Functions
	3.4 Derivatives of Products and Quotients
	3.5 The Chain Rule
	3.6 Implicit Differentiation
	3.7 Related Rates
	3.8 Elasticity of Demand
	Chapter 3 Summary and Review
	Review Exercises
Chapter 4 Graphing and Optimization
	4.1 First Derivative and Graphs
	4.2 Second Derivative and Graphs
	4.3 L’hôpital’s Rule
	4.4 Curve-sketching Techniques
	4.5 Absolute Maxima and Minima
	4.6 Optimization
	Chapter 4 Summary and Review
	Review Exercises
Chapter 5 Integration
	5.1 Antiderivatives and Indefinite Integrals
	5.2 Integration by Substitution
	5.3 Differential Equations; Growth and Decay
	5.4 The Definite Integral
	5.5 The Fundamental Theorem of Calculus
	5.6 Area Between Curves
	Chapter 5 Summary and Review
	Review Exercises
Chapter 6 Additional Integration Topics
	6.1 Integration by Parts
	6.2 Other Integration Methods
	6.3 Applications in Business and Economics
	6.4 Integration of Trigonometric Functions
	Chapter 6 Summary and Review
	Review Exercises
Chapter 7 Multivariable Calculus
	7.1 Functions of Several Variables
	7.2 Partial Derivatives
	7.3 Maxima and Minima
	7.4 Maxima and Minima Using Lagrange Multipliers
	7.5 Method of Least Squares
	7.6 Double Integrals over Rectangular Regions
	7.7 Double Integrals over More General Regions
	Chapter 7 Summary and Review
	Review Exercises
Chapter 8 Differential Equations
	8.1 Basic Concepts
	8.2 Separation of Variables
	8.3 First-order Linear Differential Equations
	Chapter 8 Summary and Review
	Review Exercises
Chapter 9 Taylor Polynomials and Infinite Series
	9.1 Taylor Polynomials
	9.2 Taylor Series
	9.3 Operations on Taylor Series
	9.4 Approximations Using Taylor Series
	Chapter 9 Summary and Review
	Review Exercises
Chapter 10 Probability and Calculus
	10.1 Improper Integrals
	10.2 Continuous Random Variables
	10.3 Expected Value, Standard Deviation, and Median
	10.4 Special Probability Distributions
	Chapter 10 Summary and Review
	Review Exercises
Appendix A Basic Algebra Review
	A.1 Real Numbers
	A.2 Operations on Polynomials
	A.3 Factoring Polynomials
	A.4 Operations on Rational Expressions
	A.5 Integer Exponents and Scientific Notation
	A.6 Rational Exponents and Radicals
	A.7 Quadratic Equations
Appendix B Special Topics
	B.1 Sequences, Series, and Summation Notation
	B.2 Arithmetic and Geometric Sequences
	B.3 Binomial Theorem
	B.4 Interpolating Polynomials and Divided Differences
Appendix Tables C
	Table 1: Integration Formulas
	Table 2: Area under the Standard Normal Curve
Answers
Index
Index of Applications
Back Cover