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Finite Mathematics 3e
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| You can get back here from anywhere by pressing the "Everything for Finite Math" link. | ||
| Chapter 1 Functions and Linear Models |  |
| 1.1 Functions from the Numerical and Algebraic Viewpoints | On-line tutorial for Section 1.1 |
| 1.2 Functions from the Graphical Viewpoint | On-line tutorial for Section 1.2 |
| 1.3 Linear Functions | On-line tutorial for Section 1.3 |
| 1.4 Linear Models | On-line tutorial for Section 1.4 |
| 1.5 Linear Regression | On-line tutorial for Section 1.5 |
| On-Line: New Functions from Old: Scaled and Shifted Functions | |
| On-Line: Fitting Functions to Data: Linear and Exponential Regression | |
| Case Study: Modeling Spending on Internet Advertising | |
On-Line Resources for Chapter 1 | |
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials | |
Math Tools for Chapter 1 | |
| Java Graphing Utility | Function Evaluator & Grapher | Excel Grapher | Simple Regression Utility | Free Mac Grapher | |
| Chapter 2 Systems of Linear Equations and Matrices | |
| 2.1 Systems of Two Linear Equations in Two Unknowns | On-line tutorial for Section 2.1 |
| 2.2 Using Matrices to Solve Systems of Equations | On-line tutorial for Section 2.2 |
| 2.3 Applications of Systems of Linear Equations | On-line tutorial for Section 2.3 |
| Case Study: The Impact of Regulating Sulfur Emissions | |
On-Line Resources for Chapter 2 | |
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials | |
Math Tools for Chapter 2 | |
| Row Operation and Pivoting Utility | Excel Row Operation and Pivoting Utility | Graphing Calculator Pivot Program (TI-82/83/85/86) | Free Mac Gauss-Jordan Program | |
| Chapter 3 Matrix Algebra | |
| 3.1 Matrix Addition and Scalar Multiplication | On-line tutorial for Section 3.1 |
| 3.2 Matrix Multiplication | On-line tutorial for Section 3.2 |
| 3.3 Matrix Inversion | On-line tutorial for Section 3.3 |
| 3.4 Input-Output Models | On-line tutorial for Section 3.4 |
| Case Study: The Japanese Economy | |
On-Line Resources for Chapter 3 | |
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials | |
Math Tools for Chapter 3 | |
| Matrix Algebra Tool | Free Mac Matrix Algebra Program | |
| Chapter 4 Linear Programming | |
| 4.1 Graphing Linear Inequalities | |
| 4.2 Solving Linear Programming Problems Graphically | |
| 4.3 The Simplex Method: Solving Standard Maximization Problems | On-line tutorial for Section 4.3 |
| 4.4 The Simplex Method: Solving General Linear Programming Problems | On-line tutorial for Section 4.4 |
| 4.5 The Simplex Method and Duality (Optional) | |
| Case Study: Airline Scheduling | |
On-Line Resources for Chapter 4 | |
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials | |
Math Tools for Chapter 4 | |
| Linear Programming Grapher | Excel Row Operation and Pivoting Utility | Simplex Method Tool | Row Operation and Pivoting Utility | Graphing Calculator Pivot Program (TI-82/83) | Free Mac Pivot Program | |
| Chapter 5 Mathematics of Finance | |
| 5.1 Simple Interest | |
| 5.2 Compound Interest | |
| 5.3 Annuities, Loans, and Bonds | |
| Case Study: Saving for College | |
On-Line Resources for Chapter 5 | |
| Chapter Summary | Chapter True/False Quiz | Chapter Excel Tutorials | |
Math Tools for Chapter 5 | |
| Time Value of Money Utility | |
| Chapter 6 Sets and Counting | |
| 6.1 Set Operations | |
| 6.2 Cardinality | |
| 6.3 The Addition and Multiplication Principles | |
| 6.4 Permutations and Combinations | |
| Case Study: Designing a Puzzle | |
On-Line Resources for Chapter 6 | |
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | |
| Chapter 7 Probability | |
| 7.1 Sample Spaces and Events | On-line tutorial for Section 7.1 |
| 7.2 Estimated Probability | On-line tutorial for Section 7.2 |
| 7.3 Theoretical Probability | On-line tutorial for Section 7.3 |
| 7.4* Probability and Counting Techniques | |
| 7.5 Probability Distributions | On-line tutorial for Section 7.5 |
| 7.6 Conditional Probability and Independence | On-line tutorial for Section 7.6 |
| 7.7 Bayes' Theorem and Applications | On-line tutorial for Section 7.7 |
| Case Study: The Monty Hall Problem | On-line Monty Hall Simulation (Java) |
On-Line Resources for Chapter 7 | |
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | |
| Chapter 8 Random Variables and Statistics | |
| 8.1 Random Variables and Distributions | On-line tutorial for Section 8.1 |
| 8.2 Bernoulli Trials and Binomial Random Variables | On-line tutorial for Section 8.2 |
| 8.3 Measures of Central Tendency | On-line tutorial for Section 8.3 |
| 8.4 Measures of Dispersion | On-line tutorial for Section 8.4 |
| 8.5 Normal Distributions | |
| On-Line: Sampling Distributions and the Central Limit Theorem | |
| On-Line: Confidence Intervals | |
| On-Line: Calculus & Statistics | |
| On-Line: Fitting Functions to Data: Regression | |
| Case Study: Spotting Tax Fraud with Benford's Law | |
On-Line Resources for Chapter 8 | |
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | |
Math Tools for Chapter 8 | |
| Histogram and Probability Distribution Generator | Probability Distribution Generator and Grapher for Bernoulli Trials | Normal Distribution Utility | Normal Distribution Table | |
| Chapter 9 Markov Systems | |
| 9.1 Markov Systems | |
| 9.2 Distribution Vectors and Powers of the Transition Matrix | |
| 9.3 Long Range Behavior of Regular Markov Systems | |
| 9.4 Absorbing Markov Systems | |
| Case Study: Predicting the Price of Gold | |
On-Line Resources for Chapter 9 | |
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | |
Math Tools for Chapter 9 | |
| On-Line Markov System Simulation (Visual Simulation) | Matrix Algebra Tool | On-Line Markov System Computation Utility (Computes Powers of Transition Matrix) | |
| Chapter G Game Theory (Optional chapter; a complete text version of this chapter can be downloaded here in pdf format) |
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| G.1 Two-Person Zero Sum Games; Reduction by Dominance | |
| G.2 Strictly Determined Games | |
| G.3 Mixing Strategies | |
| G.4 Solving Games with the Simplex Method | |
| Case Study: Harvesting Forests | |
On-Line Resources for Chapter G | |
| Chapter Summary | Chapter True/False Quiz | |
Math Tools for Chapter G | |
| On-Line Game Theory Utility (Does everything, including solving games and playing against you!) | |
| Chapter L: Introduction to Logic (Text and Complete Exercise Sets On-Line; a complete text version of this chapter can be downloaded here in pdf format) |
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| Introduction | |
| L.1 Statements and Logical Operators | |
| L.2 Logical Equivalence, Tautologies and Contradictions | |
| L.3 The Conditional and the Biconditional | |
| L.4 Tautological Implications and Tautological Equivalences | |
| L.5 Rules of Inference | |
| L.6 Arguments and Proofs | |
| L.7 Predicate Calculus | |
| Appendix A: Real Numbers | |
| Appendix B: Table: Area Under a Normal Curve | |
| Online Algebra Review Tutorials | |
| A.1 Real Numbers | On-line tutorial for Section A.1 |
| A.2 Exponents and Radicals | On-line tutorial for Section A.2 |
| A.3 Multiplying and Factoring Algebraic Equations | On-line tutorial for Section A.3 |
| A.4 Rational Expressions | On-line tutorial for Section A.4 |
| A.5 Solving Polynomial Equations | On-line tutorial for Section A.5 |
| A.6 Solving Miscellaneous Equations | |
