Finite Mathematics Applied to the Real World

Table Of Contents & On-Line Resources
for
Finite Mathematics Applied to the Real World

Syllabus Options

About the Books

Main Page

Calculus Applied to the Real World

Finite Mathematics & Calculus Applied to the Real World

Chapter 1 Linear and Quadratic Functions and Their Applications
Introduction
1.1 Coordinates, Graphs and Functions
1.2 More on Functions: Intervals and Domains (Optional)
1.3 Linear Functions
1.4 Linear Models
1.5 Quadratic Functions and Models
1.6 Best Fit Lines (Optional)
You're the Expert--Maximizing Net Profit
Review Exercises
On-Line Chapter Summary
On-Line Chapter True/False Quiz
On-Line Chapter Review Exercises
Additional On-Line Topics
New Functions from Old: Scaled and Shifted Functions
Fitting Functions to Data: Regression
Math Tools for Chapter 1
Java Graphing Utility | Function Evaluator & Grapher | Simple Regression Utility | Free Mac Grapher
Chapter 2 Systems of Linear Equations and Matrices
Introduction
2.1 Systems of Two Linear Equations in Two Unknowns
2.2 Using Matrices to Solve Systems with Two Unknowns	On-line tutorial for Section 2.2
2.3 Using Matrices to Solve Systems with Three or More Unknowns	On-line tutorial for Section 2.3
2.4 Applications of Systems of Linear Equations
You're the Expert--The Impact of Regulating Sulfur Emissions
Review Exercises
On-Line Chapter Summary
On-Line Chapter True/False Quiz
On-Line Chapter Review Exercises
Math Tools for Chapter 2
Row Operation and Pivoting Utility | Graphing Calculator Pivot Program (TI-82/83) | Free Mac Gauss-Jordan Program
Chapter 3 Matrix Algebra
Introduction
3.1 Matrix Addition and Scalar Multiplication
3.2 Matrix Multiplication
3.3 Matrix Inversion
3.4 Input-Output Models
You're the Expert--The Japanese Economy
Review Exercises
On-Line Chapter Summary
On-Line Chapter True/False Quiz
Math Tools for Chapter 3
Matrix Algebra Tool | Free Mac Matrix Algebra Program
Chapter 4 Linear Programming
Introduction
4.1 Graphing Linear Inequalities
4.2 Solving Linear Programming Problems Graphically
4.3 Solving Standard Linear Programming Problems using the Simplex Method	On-line tutorial for Section 4.3
4.4 Solving Nonstandard Linear Programming Problems
You're the Expert --Airline Scheduling
Review Exercises
On-Line Chapter Summary
On-Line Chapter True/False Quiz
On-Line Chapter Review Exercises
Math Tools for Chapter 4
Simplex Method Tool | Row Operation and Pivoting Utility | Graphing Calculator Pivot Program (TI-82/83) | Free Mac Pivot Program
Chapter 5 Sets and Counting
Introduction
5.1 Sets
5.2 The Number of Elements in a Set
5.3 The Multiplication Principle; Permutations
5.4 The Addition Principle; Combinations
You're the Expert--Designing a Puzzle
Review Exercises
On-Line Chapter Summary
On-Line Chapter True/False Quiz
On-Line Chapter Review Exercises
Chapter 6 Probability
Introduction
6.1 Sample Spaces and Events	On-line tutorial for Section 6.1
6.2 Introduction to Probability	On-line tutorial for Section 6.2
6.3 Principles of Probability	On-line tutorial for Section 6.3
6.4 Counting Techniques and Probability
6.5 Conditional Probability and Independence	On-line tutorial for Section 6.5
6.6 Bayes' Theorem and Applications	On-line tutorial for Section 6.6
6.7 Bernoulli Trials	Probability Distribution Generator and Grapher for Bernoulli Trials
You're the Expert--The Monty Hall Problem	On-line Monty Hall Simulation (Java)
Review Exercises
On-Line Chapter Summary
On-Line Chapter True/False Quiz
On-Line Chapter Review Exercises
Math Tools for Chapter 6
Probability Distribution Generator and Grapher for Bernoulli Trials
Chapter 7 Statistics
Introduction
7.1 Random Variables and Distributions
7.2 Mean, Median, and Mode
7.3 Variance and Standard Deviation
7.4 Normal Distributions
You're the Expert--Lies, Damned Lies, and Statistics
Review Exercises
On-Line Chapter Summary
On-Line Chapter True/False Quiz
On-Line Chapter Review Exercises
On-Line Chapter on Calculus & Statistics
Additional On-Line Topics
Sampling Distributions & Central Limit Theorem
Fitting Functions to Data: Regression
Math Tools for Chapter 7
Histogram and Probability Distribution Generator | Probability Distribution Generator and Grapher for Bernoulli Trials
Chapter 8 Markov Systems
Introduction
8.1 Markov Systems
8.2 Distribution Vectors and Powers of the Transition Matrix
8.3 Long Range Behavior of Regular Markov Systems
8.4 Absorbing Markov Systems
You're the Expert--Predicting the Price of Gold
Review Exercises
On-Line Chapter Summary
On-Line Chapter True/False Quiz
On-Line Chapter Review Exercises
Math Tools for Chapter 8
On-Line Markov System Simulation (Visual Simulation) | On-Line Markov System Computation Utility (Computes Powers of Transition Matrix)
Chapter 9 Game Theory
Introduction
9.1 Two-Person Zero Sum Games; Reduction by Dominance
9.2 Strictly Determined Games; Saddle Points
9.3 Mixing Strategies; the Expected Value of a Game
9.4 Solving Games with the Simplex Method
You're the Expert--Harvesting Forests
Review Exercises
On-Line Chapter Summary
On-Line Chapter True/False Quiz
Math Tools for Chapter 9
On-Line Game Theory Utility (Does everything, including solving games and playing against you!)
Chapter 10 Mathematics of Finance
Introduction
10.1 Simple Interest
10.2 Compound Interest
10.3 Annuities and Loans
You're the Expert--Pricing Auto Loans
Review Exercises
On-Line Chapter Summary
On-Line Chapter True/False Quiz
On-Line Chapter: Introduction to Logic (Text and Complete Exercise Sets On-Line)
Introduction
Statements and Logical Operators
Logical Equivalence, Tautologies and Contradictions
The Conditional and the Biconditional
Tautological Implications and Tautological Equivalences
Rules of Inference
Arguments and Proofs
Appendix A: Algebra Review
Introduction
Operations on the Real Numbers	On-line tutorial for Section A.1
Integers Exponents	On-line tutorial for Section A.2
Radicals and Rational Exponents	On-line tutorial for Section A.3
Appendix B: Using a Graphing Calculator
Appendix C: Table: Area Under a Normal Curve