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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