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
The Table of Contents below is a PDF (Portable Document Format) document that must be downloaded to your hard drive. You will need the Adobe Acrobat Reader to view it. If you do not have the Adobe Acrobat Reader, you can download it from the Adobe web site for free.