Description
Book SynopsisTable of ContentsI. A LIBRARY OF ELEMENTARY FUNCTIONS
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
