Applied Calculus for Business, Economics and the Social and Life Sciences: Expanded Companion Site, 11/e
Laurence D Hoffmann,
Solomon Smith Barney Gerald L Bradley,
Claremont McKenna College Dave Sobecki,
Miami University Hamilton Michael Price,
University of Oregon
ISBN: 0073532371 Copyright year: 2013
Table of Contents
Chapter 1: Functions, Graphs, and Limits 1.1 Functions 1.2 The Graph of a Function 1.3 Linear Functions 1.4 Functional Models 1.5 Limits 1.6 One-Sided Limits and Continuity Chapter 2: Differentiation: Basic Concepts 2.1 The Derivative 2.2 Techniques of Differentiation 2.3 Product and Quotient Rules; Higher-Order Derivatives 2.4 The Chain Rule 2.5 Marginal Analysis and Approximations Using Increments 2.6 Implicit Differentiation and Related Rates Chapter 3: Additional Applications of the Derivative 3.1 Increasing and Decreasing Functions; Relative Extrema 3.2 Concavity and Points of Inflection 3.3 Curve Sketching 3.4 Optimization; Elasticity of Demand 3.5 Additional Applied Optimization Chapter 4: Exponential and Logarithmic Functions 4.1 Exponential Functions: Continuous Compounding 4.2 Logarithmic Functions 4.3 Differentiation of Exponential and Logarithmic Functions 4.4 Additional Applications; Exponential Models Chapter 5: Integration 5.1 Indefinite Integration and Differential Equations 5.2 Integration by Substitution 5.3 The Definite Integral and the Fundamental Theorem of Calculus 5.4 Applying Definite Integration: Area Between Curves and Average Value 5.5 Additional Applications of Integration to Business and Economics 5.6 Additional Applications of Integration to the Life and Social Sciences Chapter 6: Additional Topics in Integration 6.1 Integration by Parts; Integral Tables 6.2 Numerical Integration 6.3 Improper Integrals Chapter 7: Calculus of Several Variables 7.1 Functions of Several Variables 7.2 Partial Derivatives 7.3 Optimizing Functions of Two Variables 7.4 The Method of Least-Squares 7.5 Constrained Optimization: The Method of Lagrange Multipliers 7.6 Double Integrals Chapter 8: Trigonometric Functions 8.1 Angle Measurement; Trigonometric Functions 8.2 Derivatives of Trigonometric Functions 8.3 Integrals of Trigonometric Functions Chapter 9: Differential Equations 9.1 Modeling with Differential Equations 9.2 First-Order Linear Differential Equations 9.3 Additional Applications of Differential Equations 9.4 Approximate Solutions of Differential Equations 9.5 Difference Equations; The Cobweb Model Chapter 10: Infinite Series and Taylor Series Approximations 10.1 Infinite Series; Geometric Series 10.2 Tests for Convergence 10.3 Functions as Power Series; Taylor Series Chapter 11: Trigonometric Functions 11.1 Introduction to Probability; Discrete Random Variables 11.2 Continuous Probability Distributions 11.3 Expected Value and Variance of Continuous Random Variables 11.4 Normal and Poisson Probability Distributions Appendix A: Algebra Review A.1 A Brief Review of Algebra A.2 Factoring Polynomials and Solving Systems of Equations A.3 Evaluating Limits with L’Hopital’s Rule A.4 The Summation Notation
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Table of Contents
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2013