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Finite Mathematics 4e
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| You can get back here from anywhere by pressing the "Everything for Finite Math" link. | ||
| Chapter 0 Algebra Review | |||
| 0.1 Real Numbers | On-line tutorial for Section 0.1 | ||
| 0.2 Exponents and Radicals | On-line tutorial for Section 0.2 | ||
| 0.3 Multiplying and Factoring Algebraic Equations | On-line tutorial for Section 0.3 | ||
| 0.4 Rational Expressions | On-line tutorial for Section 0.4 | ||
| 0.5 Solving Polynomial Equations | On-line tutorial for Section 0.5 | ||
| 0.6 Solving Miscellaneous Equations | |||
| 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 | |||
| 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-82/83/84/85/86) | 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 Matrices in Practice: Game Theory | On-line tutorial for Section 3.4 | ||
| 3.5 Matrices in Practice: Input-Output Models | On-line tutorial for Section 3.5 | ||
| 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 | On-Line Game Theory Utility | 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-82/83/84/85/86) | 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 and Theoretical Probability | On-line tutorial for Section 7.2 | ||
| 7.3 Properties of Probability Distributions | On-line tutorial for Section 7.3 | ||
| 7.4* Probability and Counting Techniques | |||
| 7.5 Conditional Probability and Independence | On-line tutorial for Section 7.5 | ||
| 7.6 Bayes' Theorem and Applications | On-line tutorial for Section 7.6 | ||
| 7.7 Probability in Practice: Markov Systems | |||
| 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 | |||
Math Tools for Chapter 7 | |||
| On-Line Markov System Simulation (Visual Simulation) | Matrix Algebra Tool | On-Line Markov System Computation Utility (Computes Powers of Transition Matrix) | |||
| 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 | |||
| Appendix A: Logic (Also see on-line full chapter version below.) | |||
| Appendix B: Table: Area Under a Normal Curve | |||
| 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 | |||