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Contents
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
