FinalUpdated: 03/25/2003 April_southwood1 FUNCTIONS, GRAPHS AND LIMITS1 Functions2 The Graph of a Function3 Linear Functions4 Functional Models5 Limits6 One-Sided Limits and Continuity2 DIFFERENTIATION: BASIC CONCEPTS1 The Derivative2 Techniques of Differentiation3 Product and Quotient Rules; Higher Order Derivatives4 The Chain Rule5 Marginal Analysis and Approximations Using Increments6 Implicit Differentiation and Related Rates3 ADDITIONAL APPLICATIONS OF THE DERIVATIVE1 Increasing and Decreasing Functions; Relative Extrema2 Concavity and Points of Inflection3 Curve Sketching4 Optimization5 Additional Applied Optimization4 EXPONENTIAL AND LOGARITHMIC FUNCTIONS1 Exponential Functions2 Logarithmic Functions3 Differentiation of Logarithmic and Exponential Functions4 Additional Exponential Models5 INTEGRATION1 Antidifferentiation: The Indefinite Integral2 Integration by Substitution3 The Definite Integral and the Fundamental Theorem of Calculus4 Applying Definite Integration: Area Between Curves and Average Value5 Additional Applications to Business and Economics6 Additional Applications to the Life and Social Sciences6 ADDITIONAL TOPICS IN INTEGRATION1 Integration by Parts; Integral Tables2 Introduction to Differential Equations3 Improper Integrals; Continuous Probability4 Numerical Integration7 CALCULUS OF SEVERAL VARIABLES1 Functions of Several Variables2 Partial Derivatives3 Optimizing Functions of Two Variables4 The Method of Least Squares5 Constrained Optimization: The Method of Lagrange Multipliers6 Double Integrals over Rectangular RegionsAppendix A Algebra Review1 A Brief Review of Algebra2 Factoring Polynomials and Solving Systems of EquationsTablesI Powers of eII The Natural Logarithm (Base e)Hoffmann, Laurence D. is the author of 'Calculus for Business, Economics, and the Social and Life Sciences', published 2003 under ISBN 9780072921915 and ISBN 0072921919.
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