Calculus for Business, Economics, Life Sciences and Social Sciences, Books a la Carte Edition Book

Part One: A Library of Elementary Functions

Chapter 1: Linear Equations and Graphs

1-1 Linear Equations and Inequalities

1-2 Graphs and Lines

1-3 Linear Regression

1-4 Quadratic Functions

Chapter 1 Review

Review Exercise

Chapter 2: Functions and Graphs

2-1 Functions

2-2 Elementary Functions: Graphs and Transformations

2-3 Quadratic Functions

2-4 Polynomial and Rational Functions

2-5 Exponential Functions

2-6 Logarithmic Functions

Chapter 2 Review

Review Exercise

Part Two: Calculus

Chapter 3: Limits and the Derivative

3-1 Introduction to Limits

3-2 Infinite Limits and Limits at Infinity

3-3 Continuity

3-4 The Derivative

3-5 Basic Differentiation Properties

3-6 Differentials

3-7 Marginal Analysis in Business and Economics

Chapter 3 Review

Review Exercise

Chapter 4: Additional Derivative Topics

4-1 The Constant e and Continuous Compound Interest

4-2 Derivatives of Exponential and Logarithmic Functions

4-3 Derivatives of Products and Quotients

4-4 The Chain Rule

4-5 Implicit Differentiation

4-6 Related Rates

4-7 Elasticity of Demand

Chapter 4 Review

Review Exercise

Chapter 5: Graphing and Optimization

5-1 First Derivative and Graphs

5-2 Second Derivative and Graphs

5-3 L'Hopital's Rule

5-4 Curve Sketching Techniques

5-5 Absolute Maxima and Minima

5-6 Optimization

Chapter 5 Review

Review Exercise

Chapter 6: Integration

6-1 Antiderivatives and Indefinite Integrals

6-2 Integration by Substitution

6-3 Differential Equations; Growth and Decay

6-4 The Definite Integral

6-5 The Fundamental Theorem of Calculus

Chapter 6 Review

Review Exercise

Chapter 7: Additional Integration Topics

7-1 Area Between Curves

7-2 Applications in Business and Economics

7-3 Integration by Parts

7-4 Integration Using Tables

Chapter 7 Review

Review Exercise

Chapter 8: Multivariable Calculus

8-1 Functions of Several Variables

8-2 Partial Derivatives

8-3 Maxima and Minima

8-4 Maxima and Minima Using Lagrange Multipliers

8-5 Method of Least Squares

8-6 Double Integrals Over Rectangular Regions

8-7 Double Integrals Over More General Regions

Chapter 8 Review

Review Exercise

Chapter 9: Trigonometric Functions

9-1 Trigonometric Functions Review

9-2 Derivatives of Trigonometric Functions

9-3 Integration of Trigonometric Functions

Chapter 9 Review

Review Exercise

Appendixes

Appendix A: Basic Algebra Review

Self-Test on Basic Algebra

A-1 Algebra and 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

Appendix C: Tables

Table I Basic Geometric Formulas

Table II Integration Formulas

Answers

Index

Applications Index

A Library of Elementary Functions