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Advanced Problem Solving Using Maple™:Applied Mathematics, Operations Research, Business Analytics,
Problem Solving
Introduction to Maple
The Structure of Maple
General Introduction to Maple
Maple Training
Maple Applications Center
Discrete Dynamical Models
Introduction
Modeling with Dynamical Systems2
Linear Systems
Equilibrium Values and Long-Term Behavior
A Graphical Approach to Equilibrium Values
Modeling Nonlinear Discrete Dynamical Systems
Systems of Discrete Dynamical Systems
Case Studies: Predator–Prey Model, SIR Model, and Military Models
Problem Solving with Single-Variable Optimization
Single-Variable Unconstrained Optimization
Numerical Search Techniques with Maple
Problem Solving with Multivariable Constrained and Unconstrained Optimization
Unconstrained Optimization: Theory
Unconstrained Optimization: Examples
Unconstrained Optimization: Numerical Methods
Constrained Optimization: The Method of Lagrange Multipliers
Constrained Optimization: Kuhn-Tucker Conditions
Problem Solving with Linear Systems of Equations Using Linear Algebra Techniques
Introduction
Introduction to Systems of Equations
Models with Unique Solutions Using Systems of Linear Equations
Stoichiometric Chemical Balancing and Infinitely Many Solutions
Review of Regression Models and Advanced Regression Models
Re-Introduction to Regression
Modeling, Correlation, and Regression
Linear, Nonlinear, and Multiple Regression
Advanced Regression Techniques with Examples
Conclusions and Summary
Problem Solving with Game Theory
Introduction
Background of Game Theory
Examples of Zero-Sum Games
Examples of Partial Conflict Games
Conclusion
Introduction
Data Envelopment Analysis
Simple Additive Weighting
Analytical Hierarchy Process
Technique of Order Preference by Similarity to the Ideal Solution
Methods of Choosing Weights
Index
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