Table of Contents
•Preface
•Diagnostic Prerequisite Test
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
•Chapter 1 Summary and Review
•Review Exercises
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
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 Products and Quotients
•3.4 The Chain Rule
•3.5 Implicit Differentiation
•3.6 Related Rates
•3.7 Elasticity of Demand
•Chapter 3 Summary and Review
•Review Exercises
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
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
•Chapter 5 Summary and Review
•Review Exercises
6. Additional Integration Topics
•6.1 Area Between Curves
•6.2 Applications in Business and Economics
•6.3 Integration by Parts
•6.4 Other Integration Methods
•Chapter 6 Summary and Review
•Review Exercises
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
8. Trigonometric Functions
•8.1 Right Triangle Trigonometry
•8.2 Trigonometric Functions
•8.3 Derivatives of Trigonometric Functions
•8.4 Integration of Trigonometric Functions
•Chapter 8 Summary and Review
•Review Exercises
9. Differential Equations
•9.1 Basic Concepts
•9.2 Separation of Variables
•9.3 First-Order Linear Differential Equations
•Chapter 9 Summary and Review
•Review Exercises
10. Taylor Polynomials and Infinite Series
•10.1 Taylor Polynomials
•10.2 Taylor Series
•10.3 Operations on Taylor Series
•10.4 Approximations Using Taylor Series
•Chapter 10 Summary and Review
•Review Exercises
11. Probability and Calculus
•11.1 Improper Integrals
•11.2 Continuous Random Variables
•11.3 Expected Value, Standard Deviation, and Median
•11.4 Special Probability Distributions
•Chapter 11 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 (online at goo.gl/mjbXrG)
•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 C: Integration Using Tables Answers Index Index of Applications
