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• Title Page
• Copyright Page
• Contents
• Preface
• Diagnostic Prerequisite Test
• Chapter 1 Functions and Graphs
• 1.1 Functions
• 1.2 Elementary Functions: Graphs and Transformations
• 1.3 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 Mathematics of Finance
• 2.1 Simple Interest
• 2.2 Compound and Continuous Compound Interest
• 2.3 Future Value of an Annuity; Sinking Funds
• 2.4 Present Value of an Annuity; Amortization
• Chapter 2 Summary and Review
• Review Exercises
• Chapter 3 Systems of Linear Equations; Matrices
• 3.1 Review: Systems of Linear Equations in Two Variables
• 3.2 Systems of Linear Equations and Augmented Matrices
• 3.3 Gauss–Jordan Elimination
• 3.4 Matrices: Basic Operations
• 3.5 Inverse of a Square Matrix
• 3.6 Matrix Equations and Systems of Linear Equations
• 3.7 Leontief Input–Output Analysis
• Chapter 3 Summary and Review
• Review Exercises
• Chapter 4 Linear Inequalities and Linear Programming
• 4.1 Linear Inequalities in Two Variables
• 4.2 Systems of Linear Inequalities in Two Variables
• 4.3 Linear Programming in Two Dimensions: a Geometric Approach
• Chapter 4 Summary and Review
• Review Exercises
• Chapter 5 Linear Programming: The Simplex Method
• 5.1 The Table Method: an Introduction to the Simplex Method
• 5.2 The Simplex Method: Maximization with Problem Constraints of the Form …
• 5.3 The Dual Problem: Minimization with Problem Constraints of the Form ú
• 5.4 Maximization and Minimization with Mixed Problem Constraints
• Chapter 5 Summary and Review
• Review Exercises
• Chapter 6 Logic, Sets, and Counting
• 6.1 Logic
• 6.2 Sets
• 6.3 Basic Counting Principles
• 6.4 Permutations and Combinations
• Chapter 6 Summary and Review
• Review Exercises
• Chapter 7 Probability
• 7.1 Sample Spaces, Events, and Probability
• 7.2 Union, Intersection, and Complement of Events; Odds
• 7.3 Conditional Probability, Intersection, and Independence
• 7.4 Bayes’ Formula
• 7.5 Random Variable, Probability Distribution, and Expected Value
• Chapter 7 Summary and Review
• Review Exercises
• Chapter 8 Limits and the Derivative
• 8.1 Introduction to Limits
• 8.2 Infinite Limits and Limits at Infinity
• 8.3 Continuity
• 8.4 The Derivative
• 8.5 Basic Differentiation Properties
• 8.6 Differentials
• 8.7 Marginal Analysis in Business and Economics
• Chapter 8 Summary and Review
• Review Exercises
• Chapter 9 Additional Derivative Topics
• 9.1 The Constant E and Continuous Compound Interest
• 9.2 Derivatives of Exponential and Logarithmic Functions
• 9.3 Derivatives of Products and Quotients
• 9.4 The Chain Rule
• 9.5 Implicit Differentiation
• 9.6 Related Rates
• 9.7 Elasticity of Demand
• Chapter 9 Summary and Review
• Review Exercises
• Chapter 10 Graphing and Optimization
• 10.1 First Derivative and Graphs
• 10.2 Second Derivative and Graphs
• 10.3 L’hôpital’s Rule
• 10.4 Curve-Sketching Techniques
• 10.5 Absolute Maxima and Minima
• 10.6 Optimization
• Chapter 10 Summary and Review
• Review Exercises
• Chapter 11 Integration
• 11.1 Antiderivatives and Indefinite Integrals
• 11.2 Integration by Substitution
• 11.3 Differential Equations; Growth and Decay
• 11.4 The Definite Integral
• 11.5 The Fundamental Theorem of Calculus
• 11.6 Area Between Curves
• Chapter 11 Summary and Review
• Review Exercises
• Chapter 12 Additional Integration Topics
• 12.1 Integration by Parts
• 12.2 Other Integration Methods
• 12.3 Applications in Business and Economics
• Chapter 12 Summary and Review
• Review Exercises
• Chapter 13 Multivariable Calculus
• 13.1 Functions of Several Variables
• 13.2 Partial Derivatives
• 13.3 Maxima and Minima
• 13.4 Maxima and Minima Using Lagrange Multipliers
• 13.5 Method of Least Squares
• 13.6 Double Integrals over Rectangular Regions
• 13.7 Double Integrals over More General Regions
• Chapter 13 Summary and Review
• Review Exercises
• Chapter 14 Markov Chains
• 14.1 Properties of Markov Chains
• 14.2 Regular Markov Chains
• 14.3 Absorbing Markov Chains
• Chapter 14 Summary and Review
• Review Exercises
• Appebdix A Linear Equations and Graphs
• A.1 Linear Equations and Inequalities
• A.2 Graphs and Lines
• A.3 Linear Regression
• Appendix B Basic Algebra Review
• B.1 Real Numbers
• B.2 Operations on Polynomials
• B.3 Factoring Polynomials
• B.4 Operations on Rational Expressions
• B.5 Integer Exponents and Scientific Notation
• B.6 Rational Exponents and Radicals
• B.7 Quadratic Equations
• Appendix C Special Topics
• C.1 Sequences, Series, and Summation Notation
• C.2 Arithmetic and Geometric Sequences
• C.3 Binomial Theorem
• C.4 Interpolating Polynomials and Divided Differences
• Appendix D Integration Formulas
• Answers
• Index
• Index of Applications
• Back Cover