Calculus for Business, Economics, Life Sciences, and Social Sciences

Chapter 1: Functions and Graphs

• • 1.1 Functions
• • 1.2 Elementary Functions: Graphs and Transformations
• • 1.3 Linear and Quadratic Functions
• • 1.4 Polynomial and Rational Functions
• • 1.5 Exponential Functions
• • 1.6 Logarithmic Functions
• • Chapter 1 Summary and Review
• • Review Exercises

Chapter 2: Limits and the Derivative

• • 2.1 Introduction to Limits
• • 2.2 Infinite Limits and Limits at Infinity
• • 2.3 Continuity
• • 2.4 The Derivative
• • 2.5 Basic Differentiation Properties
• • 2.6 Differentials
• • 2.7 Marginal Analysis in Business and Economics
• • Chapter 2 Summary and Review
• • Review Exercises

Chapter 3: Additional Derivative Topics

• • 3.1 The Constant _e_ and Continuous Compound Interest
• • 3.2 Derivatives of Exponential and Logarithmic Functions
• • 3.3 Derivatives of Products and Quotients
• • 3.4 The Chain Rule
• • 3.5 Implicit Differentiation
• • 3.6 Related Rates
• • 3.7 Elasticity of Demand
• • Chapter 3 Summary and Review
• • Review Exercises

Chapter 4: Graphing and Optimization

• • 4.1 First Derivative and Graphs
• • 4.2 Second Derivative and Graphs
• • 4.3 L'Hôpital's Rule
• • 4.4 Curve-Sketching Techniques
• • 4.5 Absolute Maxima and Minima
• • 4.6 Optimization
• • Chapter 4 Summary and Review
• • Review Exercises

Chapter 5: Integration

• • 5.1 Antiderivatives and Indefinite Integrals
• • 5.2 Integration by Substitution
• • 5.3 Differential Equations; Growth and Decay
• • 5.4 The Definite Integral
• • 5.5 The Fundamental Theorem of Calculus
• • Chapter 5 Summary and Review
• • Review Exercises

Chapter 6: Additional Integration Topics

• • 6.1 Area Between Curves
• • 6.2 Applications in Business and Economics
• • 6.3 Integration by Parts
• • 6.4 Other Integration Methods
• • Chapter 6 Summary and Review
• • Review Exercises

Chapter 7: Multivariable Calculus

• • 7.1 Functions of Several Variables
• • 7.2 Partial Derivatives
• • 7.3 Maxima and Minima
• • 7.4 Maxima and Minima Using Lagrange Multipliers
• • 7.5 Method of Least Squares
• • 7.6 Double Integrals Over Rectangular Regions
• • 7.7 Double Integrals Over More General Regions
• • Chapter 7 Summary and Review
• • Review Exercises

Chapter 8: Trigonometric Functions

• • 8.1 Right Triangle Trigonometry
• • 8.2 Trigonometric Functions
• • 8.3 Derivatives of Trigonometric Functions
• • 8.4 Integration of Trigonometric Functions
• • Chapter 8 Summary and Review
• • Review Exercises

Chapter 9: Differential Equations

• • 9.1 Basic Concepts
• • 9.2 Separation of Variables
• • 9.3 First-Order Linear Differential Equations
• • Chapter 9 Summary and Review
• • Review Exercises

Chapter 10: Taylor Polynomials and Infinite Series

• • 10.1 Taylor Polynomials
• • 10.2 Taylor Series
• • 10.3 Operations on Taylor Series
• • 10.4 Approximations Using Taylor Series
• • Chapter 10 Summary and Review
• • Review Exercises

Chapter 11: Probability and Calculus

• • 11.1 Improper Integrals
• • 11.2 Continuous Random Variables
• • 11.3 Expected Value, Standard Deviation, and Median
• • 11.4 Special Probability Distributions
• • Chapter 11 Summary and Review
• • Review Exercises

Chapter Appendices: Appendices

• • A. Basic Algebra Review
• • A.1 Real Numbers
• • A.2 Operations on Polynomials
• • A.3 Factoring Polynomials
• • A.4 Operations on Rational Expressions
• • A.5 Integer Exponents and Scientific Notation
• • A.6 Rational Exponents and Radicals
• • A.7 Quadratic Equations
• • B. Special Topics ([online](https://media.pearsoncmg.com/ph/esm/esm_barnett_bcb14e_19/launch/Barnett_14e_AppendixB.pdf))
• • B.1 Sequences, Series, and Summation Notation
• • B.2 Arithmetic and Geometric Sequences
• • B.3 Binomial Theorem
• • B.4 Interpolating Polynomials and Divided Differences
• • C. Tables
• • Table 1: Integration Formulas
• • Table 2: Area Under the Standard Normal Curve