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