Calculus for business, economics and the social and life sciences with olc card (8th ed )

Final Updated: 03/25/2003 April_southwood 1 FUNCTIONS, GRAPHS AND LIMITS 1 Functions 2 The Graph of a Function 3 Linear Functions 4 Functional Models 5 Limits 6 One-Sided Limits and Continuity 2 DIFFERENTIATION: BASIC CONCEPTS 1 The Derivative 2 Techniques of Differentiation 3 Product and Quotient Rules, Higher Order Derivatives 4 The Chain Rule 5 Marginal Analysis and Approximations Using Increments 6 Implicit Differentiation and Related Rates 3 ADDITIONAL APPLICATIONS OF THE DERIVATIVE 1 Increasing and Decreasing Functions, Relative Extrema 2 Concavity and Points of Inflection 3 Curve Sketching 4 Optimization 5 Additional Applied Optimization 4 EXPONENTIAL AND LOGARITHMIC FUNCTIONS 1 Exponential Functions 2 Logarithmic Functions 3 Differentiation of Logarithmic and Exponential Functions 4 Additional Exponential Models 5 INTEGRATION 1 Antidifferentiation: The Indefinite Integral 2 Integration by Substitution 3 The Definite Integral and the Fundamental Theorem of Calculus 4 Applying Definite Integration: Area Between Curves and Average Value 5 Additional Applications to Business and Economics 6 Additional Applications to the Life and Social Sciences 6 ADDITIONAL TOPICS IN INTEGRATION 1 Integration by Parts, Integral Tables 2 Introduction to Differential Equations 3 Improper Integrals, Continuous Probability 4 Numerical Integration 7 CALCULUS OF SEVERAL VARIABLES 1 Functions of Several Variables 2 Partial Derivatives 3 Optimizing Functions of Two Variables 4 The Method of Least Squares 5 Constrained Optimization: The Method of Lagrange Multipliers 6 Double Integrals over Rectangular Regions Appendix A Algebra Review 1 A Brief Review of Algebra 2 Factoring Polynomials and Solving Systems of Equations Tables I Powers of e II The Natural Logarithm (Base e)