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finite mathematics: everything!


Following the table of contents in
Finite Mathematics 4e   by
Stefan Waner and Steven R. Costenoble

You can get back here from anywhere by pressing the "Everything for Finitge 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 RegressionOn-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 | Steve Costenoble's Java Graphing Utility


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)
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

Last Updated: August, 2007
Copyright © 2007 Stefan Waner

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