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Calculus for Business, Economics, and the Social and Life Sciences, Brief Version, Media Update

Calculus for Business, Economics, and the Social and Life Sciences, Brief Version, Media Update

ISBN 9780073532387
Edition 11
Publication Date
Publisher McGraw-Hill Education
Author(s)
Overview
Chapter 1: Functions, Graphs, and Limits 1.1Functions 1.2The Graph of a Function 1.3Lines and Linear Functions 1.4Functional Models 1.5Limits 1.6One-Sided Limits and Continuity Chapter 2: Differentiation: Basic Concepts 2.1The Derivative 2.2Techniques of Differentiation 2.3Product and Quotient Rules; Higher-Order Derivatives 2.4The Chain Rule 2.5Marginal Analysis and Approximations Using Increments 2.6Implicit 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: Distribution of Wealth and Average Value 5.5 Additional Applications to Business and Economics 5.6 Additional Applications 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 6.4 Introduction to Continuous Probability 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 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
Overview
Chapter 1: Functions, Graphs, and Limits 1.1Functions 1.2The Graph of a Function 1.3Lines and Linear Functions 1.4Functional Models 1.5Limits 1.6One-Sided Limits and Continuity Chapter 2: Differentiation: Basic Concepts 2.1The Derivative 2.2Techniques of Differentiation 2.3Product and Quotient Rules; Higher-Order Derivatives 2.4The Chain Rule 2.5Marginal Analysis and Approximations Using Increments 2.6Implicit 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: Distribution of Wealth and Average Value 5.5 Additional Applications to Business and Economics 5.6 Additional Applications 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 6.4 Introduction to Continuous Probability 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 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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