I. A LIBRARY OF ELEMENTARY FUNCTIONS

• 1. Linear Equations and Graphs
  • 1.1 Linear Equations and Inequalities
  • 1.2 Graphs and Lines
  • 1.3 Linear Regression
  • Chapter 1 Summary and Review
  • Review Exercises
• 2. Functions and Graphs
  • 2.1 Functions
  • 2.2 Elementary Functions: Graphs and Transformations
  • 2.3 Quadratic Functions
  • 2.4 Polynomial and Rational Functions
  • 2.5 Exponential Functions
  • 2.6 Logarithmic Functions
  • Chapter 2 Summary and Review
  • Review Exercises

II. FINITE MATHEMATICS

• 3. Mathematics of Finance
  • 3.1 Simple Interest
  • 3.2 Compound and Continuous Compound Interest
  • 3.3 Future Value of an Annuity; Sinking Funds
  • 3.4 Present Value of an Annuity; Amortization
  • Chapter 3 Summary and Review
  • Review Exercises
• 4. Systems of Linear Equations; Matrices
  • 4.1 Review: Systems of Linear Equations in Two Variables
  • 4.2 Systems of Linear Equations and Augmented Matrices
  • 4.3 Gauss - Jordan Elimination
  • 4.4 Matrices: Basic Operations
  • 4.5 Inverse of a Square Matrix
  • 4.6 Matrix Equations and Systems of Linear Equations
  • 4.7 Leontief Input - Output Analysis
  • Chapter 4 Summary and Review
  • Review Exercises
• 5. Linear Inequalities and Linear Programming
  • 5.1 Linear Inequalities in Two Variables
  • 5.2 Systems of Linear Inequalities in Two Variables
  • 5.3 Linear Programming in Two Dimensions: A Geometric Approach
  • Chapter 5 Summary and Review
  • Review Exercises
• 6. Linear Programming: The Simplex Method
  • 6.1 The Table Method: An Introduction to the Simplex Method
  • 6.2 The Simplex Method: Maximization with Problem Constraints of the Form ≤
  • 6.3 The Dual Problem: Minimization with Problem Constraints of the Form ≥
  • 6.4 Maximization and Minimization with Mixed Problem Constraints
  • Chapter 6 Summary and Review
  • Review Exercises
• 7. Logic, Sets, and Counting
  • 7.1 Logic
  • 7.2 Sets
  • 7.3 Basic Counting Principles
  • 7.4 Permutations and Combinations
  • Chapter 7 Summary and Review
  • Review Exercises
• 8. Probability
  • 8.1 Sample Spaces, Events, and Probability
  • 8.2 Union, Intersection, and Complement of Events; Odds
  • 8.3 Conditional Probability, Intersection, and Independence
  • 8.4 Bayes' Formula
  • 8.5 Random Variable, Probability Distribution, and Expected Value
  • Chapter 8 Summary and Review
  • Review Exercises
• 9. Markov Chains
  • 9.1 Properties of Markov Chains
  • 9.2 Regular Markov Chains
  • 9.3 Absorbing Markov Chains
  • Chapter 9 Summary and Review
  • Review Exercises
• 10. Data Description and Probability Distributions
  • 10.1 Graphing Data
  • 10.2 Measures of Central Tendency
  • 10.3 Measures of Dispersion
  • 10.4 Bernoulli Trials and Binomial Distributions
  • 10.5 Normal Distributions
  • Chapter 10 Summary and Review
  • Review Exercises
• 11. Games and Decisions (online at goo.gl/6VBjkQ)
  • 11.1 Strictly Determined Games
  • 11.2 Mixed-Strategy Games
  • 11.3 Linear Programming and 2 x 2 Games: A Geometric Approach
  • 11.4 Linear Programming and m x n Games: Simplex Method and the Dual Problem
  • Chapter 11 Summary and Review
  • Review Exercises

Appendix 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

Appendix B: Special Topics (online at goo.gl/mjbXrG)

• B.1 Sequences, Series, and Summation Notation
• B.2 Arithmetic and Geometric Sequences
• B.3 Binomial Theorem

Appendix C: Area under the Standard Normal Curve

Answers

Index

Index of Applications