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Finite Mathematics (with Digital Video Campanion)
ISBN: 9780534665425 | 053466542X
Edition: 5thFormat: Hardcover
Publisher: Cengage Learning
Pub. Date: 4/3/2002
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The new edition of Rolf's FINITE MATHEMATICS continues to offer flexible technology integration with a student-friendly, readable approach. Strong examples clearly illustrate the utility of mathematical concepts. Optional graphing calculator problems are included for instructors who wish to use technology into the course.
| 1. FUNCTIONS AND LINES | |
| Functions | |
| Graphs and Lines | |
| Mathematical Models and Applications of Linear Functions | |
| 2. LINEAR SYSTEMS | |
| Systems of Two Equations | |
| Systems with Three Variables: An Introduction to Matrix Representation | |
| Gauss-Jordan Method ... MORE | |
| Matrix Operations | |
| Multiplication of Matrices | |
| The Inverse of a Matrix | |
| Leontief Input-Output Model in Economics | |
| Linear Regression | |
| 3. LINEAR PROGRAMMING | |
| Linear Inequalities in Two Variables | |
| Solutions of Systems of Inequalities: A Geometric Picture | |
| Linear Programming: A Geometric Approach | |
| Applications | |
| 4. LINEAR PROGRAMMING: THE SIMPLEX METHOD | |
| Setting Up the Simplex Method | |
| The Simplex Method/ The Standard Minimum Problem: Duality | |
| Mixed Constraints | |
| Multiple Solutions, Unbounded Solutions, and No Feasible Solutions | |
| What's Happening in the Simplex Method? (Optional) | |
| Sensitivity Analysis (Optional) | |
| 5. MATHEMATICS OF FINANCE | |
| Simple Interest | |
| Compound Interest | |
| Annuities and Sinking Funds | |
| Present Value of an Annuity and Amortization | |
| 6. SETS AND COUNTING | |
| Sets | |
| Counting Elements in a Subset Using a Venn Diagram | |
| Basic Counting Principles | |
| Permutations | |
| Combinations | |
| A Mixture of Counting Problems | |
| 7. PROBABILITY | |
| Introduction to Probability | |
| Equally Likely Events | |
| Compound Events: Union, Intersection, and Complement | |
| Conditional Probability | |
| Independent Events | |
| Bayes' Rule | |
| Markov Chains | |
| 8. STATISTICS | |
| Frequency Distributions | |
| Measures of Central Tendency | |
| Measures of Dispersion: Range, Variance, and Standard Deviation | |
| Random Variables and Probability Distributions of Discrete Random Variables | |
| Expected Value of a Random Variable | |
| Bernoulli Experiments and Binomial Distribution | |
| Normal Distribution | |
| Estimating Bounds on a Proportion | |
| 9. GAME THEORY | |
| Two-Person Games | |
| Mixed Strategy Games | |
| 10. Logic | |
| Statements | |
| Conditional Statements | |
| Equivalent Statements | |
| Valid Arguments |
