Finite Mathematics & Applied Calculus 3e Stefan Waner and Steven R. Costenoble Table of Contents, On-Line Resources, Everything!

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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)
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 10 Nonlinear Models
10.1 Quadratic Functions and Models	On-line tutorial for Section 10.1
10.2 Exponential Functions and Models	On-line tutorial for Section 10.2
10.3 Logarithmic Functions and Models
10.4 Logistic Functions and Models
On-Line: Inverse Fuctions
On-Line: Fitting Functions to Data: Linear and Exponential Regression
On-Line: Using and Deriving Algebraic Properties of Logarithms
Case Study: Checking Up on Malthus
On-Line Resources for Chapter 10
Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials
Math Tools for Chapter 10
Java Graphing Utility | Function Evaluator & Grapher | Excel Grapher | Simple Regression Utility | Free Mac Grapher
Chapter 11 Introduction to the Derivative
11.1 Average Rate of Change	On-line tutorial for Section 11.1
11.2 The Derivative: Numerical and Graphical Viewpoints	On-line tutorial for Section 11.2
11.3 The Derivative: Algebraic Viewpoint	On-line tutorial for Section 11.3
11.4 Derivatives of Powers, Sums, and Constant Multiples	On-line tutorial for Section 11.4
11.5 A First Application: Marginal Analysis
11.6 Limits: Numerical and Graphical Approaches (Optional)	On-line tutorial for Section 11.6
11.7 Limits and Continuity: (Optional)	On-line tutorial for Section 11.7
11.8 Limits and Continuity: Algebraic Approach (Optional)	On-line tutorial for Section 11.8
On-Line: Sketching the Graph of the Derivative
On-Line: Proof of the Power Rule
On-Line: Continuity and Differentiability
Case Study: Reducing Sulfur Emissions
On-Line Resources for Chapter 11
Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials
Math Tools for Chapter 11
Java Graphing Utility | Function Evaluator & Grapher | Excel Grapher | Simple Regression Utility | Download Free Mac Grapher
Chapter 12 Techniques of Differentiation
12.1 The Product and Quotient Rules	On-line tutorial for Section 12.1
12.2 The Chain Rule	On-line tutorial for Section 12.2
12.3 Derivatives of Logarithmic and Exponential Functions	On-line tutorial for Section 12.3
12.4 Implicit Differentiation
On-Line:Linear Approximation and Error Estimation
On-Line:Proof of the Quotient Rule
On-Line:Proof of the Chain Rule
Case Strudy: Projecting Market Growth
On-Line Resources for Chapter 12
Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises
Chapter 13 Applications of the Derivative
13.1 Maxima and Minima	On-line tutorial for Section 13.1
13.2 Applications of Maxima and Minima	On-line tutorial for Section 13.2
13.3 The Second Derivative and Analyzing Graphs
13.4 Related Rates	On-line tutorial for Section 13.4
13.5 Elasticity of Demand
Case Study: Production Lot Size Management
On-Line Resources for Chapter 13
Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials
Math Tools for Chapter 13
Java Graphing Utility | Function Evaluator & Grapher | Excel First- and Second-Derivative Graphing Utility | Free Mac Grapher
Chapter 14 The Integral
14.1 The Indefinite Integral	On-line tutorial for Section 14.1
14.2 Substitution	On-line tutorial for Section 14.2
14.3 The Definite Integral as a Sum: A Numerical Approach
14.4 The Definite Integral as Area: A Geometric Approach
14.5 The Definite Integral: An Algebraic Approach and the Fundamental Theorem of Calculus
On-Line: Numerical Integration
Case Study: Wage Inflation
On-Line Resources for Chapter 14
Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials
Math Tools for Chapter 14
Numerical Integration Utility | Graphing Calculator Programs for Numerical Integration | Excel Riemann Sum Grapher
Chapter 15 Further Techniques and Applications of the Integral
15.1 Integration by Parts
15.2 Area Between Two Curves and Applications
15.3 Averages and Moving Averages
15.4 Continuous Income Streams
15.5 Improper Integrals and Applications
15.6 Differential Equations and Applications
Case Study: Estimating Tax Revenues
On-Line Resources for Chapter 15
Chapter Summary | Chapter True/False Quiz | Chapter Excel Tutorials
Chapter 16 Functions of Several Variables
16.1 Functions of Several Variables from the Numerical and Algebraic Viewpoints
16.2 Three Dimensional Space and the Graph of a Function of Two Variables
16.3 Partial Derivatives
16.4 Maxima and Minima
16.5 Constrained Maxima and Minima Applications	Also See On-Line Material on Regression
16.6 Double Integrals
Case Study: Constructing a Best Fit Demand Curve
On-Line Resources for Chapter 16
Chapter Summary | Chapter True/False Quiz
Math Tools for Chapter 16
Surface Graphing Utility | Excel Surface Graphing Utility | Linear Multiple Regression Utility
Chapter 17 Trigonometric Models
17.1 Trigonometric Functions, Models, and Regression
17.2 Derivatives of Trigonometric Functions and Applications
17.3 Integrals of Trigonometric Functions and Applications
On-Line: Proofs of Some Trigonometric Limits
Case Study: Predicting Cocoa Inventories
On-Line Resources for Chapter 17
Chapter Summary | On-line version of this chapter
Math Tools for Chapter 17
Java Graphing Utility | Function Evaluator & Grapher | Excel Grapher | Excel Derivative Grapher
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
On-Line Chapter: Trigonometric Functions and Calculus (Text and Complete Exercise Sets On-Line; brings together material in Chapters 10, 12, and 14)
Introduction
Modeling with the Sine Function
The Six Trigonometric Functions
Derivatives of Trigonometric Functions
Integrals of Trigonometric Functions
Chapter P: Calculus Applied to Probability and Statistics (Text and Complete Exercise Sets On-Line; a complete text version of this chapter can be downloaded here in pdf format)
Introduction
CP.1 Continuous Random Variables and Histograms
CP.2 Probability Density Functions: Uniform, Exponential, Normal, and Beta
CP.3 Mean, Median, Variance and Standard Deviation
Case Study: Creating a Family Trust
Appendix A: Algebra Review
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
Appendix B: Table: Area Under a Normal Curve