## Table of contents for Calculus for business, economics, and the social and life sciences / Laurence D. Hoffmann, Gerald L. Bradley.

Bibliographic record and links to related information available from the Library of Congress catalog

Information from electronic data provided by the publisher. May be incomplete or contain other coding.

CHAPTER 1 FUNCTIONS, GRAPHS, AND LIMITS
1. Functions
2. The Graph of a Function
3. Linear Functions
4. Functional Models
5. Limits
6. Continuity
Chapter summary and review problems
CHAPTER 2 DIFFERENTIATION:BASIC CONCEPTS
1. The Derivative; Slope and Rates
2. Basic Rules of Differentiation
3. The Product and Quotient Rules
4. Marginal Analysis; Approximation by Increments
5. The Chain Rule
6. The Second Derivative
7. Implicit Differentiation and Related Rates
Chapter summary and review problems
CHAPTER 3 ADDITIONAL APPLICATIONS OF THE DERIVATIVE
1. Increasing and Decreasing Functions
2. Concavity
3. Limits Involving Infinity; Asymptotes
4. Optimization
5. Practical Optimization
Chapter summary and review problems
CHAPTER 4 EXPONENTIAL AND LOGARITHMIC FUNCTIONS
1. Exponential Functions
2. Logarithmic Functions
3. Differentiation of Logarithmic and Exponential
Functions
4. Additional Exponential Models
Chapter summary and review problems
CHAPTER 5 INTEGRATION
1. Antidifferentiation: The Indefinite Integral
2. Integration by Substitution
3. Introduction to Differential Equations
4. Additional Methods of Integration
Chapter summary and review problems
CHAPTER 6 FURTHER TOPICS IN INTEGRATION
1. Area Under a Curve
2. Applications to Business and Economics
3. Additional Applications of Definite Integration
4. Improper Integrals
5. Probability Density Functions
6. Numerical Integration
Chapter summary and review problems
CHAPTER 7 FUNCTIONS OF SEVERAL VARIABLES
1. Functions of Two Variables
2. Partial Derivatives
3. Relative Maxima and Minima
4. Constrained Optimization: Lagrange Multipliers
5. Double Integrals
6. Applications of Double Integrals
Chapter summary and review problems
OPTIONAL MODULES (Available on request)
I Infinite Series and Taylor Approximation
II Trigonometric Functions
III Matrix Methods
Appendix Algebra Review

Library of Congress subject headings for this publication: Calculus