Efnisyfirlit

• 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

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