Calculus for Business, Economics, and the Social and Life Sciences, Brief Version (Int'l Ed)
Chapter 1: Functions, Graphs, and Limits
1.1 Functions
1.2 The Graph of a Function
1.3 Lines and 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: 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
A.3 Evaluating Limits with L’Hopital’s Rule
A.4 The Summation Notation
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