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| Modeling with Discrete Dynamical Systems | |
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| Modeling Change with Difference Equations | |
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| Approximating Change with Difference Equations | |
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| Solutions to Dynamical Systems | |
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| Systems of Difference Equations | |
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| The Modeling Process, Proportionality and Geometric Similarity | |
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| Mathematical Models | |
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| Modeling Using Proportionality | |
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| Modeling Using Geometric Similarity | |
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| Automobile Gasoline Mileage | |
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| Body Weight and Height, Strength and Agility | |
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| Model Fitting | |
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| Fitting Models to Data Graphically | |
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| Analytic Methods of Model Fitting | |
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| Applying the Least-Squares Criterion | |
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| Choosing a Best Model | |
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| Experimental Modeling | |
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| Harvesting in the Chesapeake Bay and Other One-Term Models | |
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| High-Order Polynomial Models | |
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| Smoothing: Low-Order Polynomial Models | |
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| Cubic Spline Models | |
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| Simulation Modeling | |
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| Simulation Deterministic Behavior: Area under a Curver | |
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| Generating Random Numbers | |
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| Simulating Probabilistic Behavior | |
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| Inventory Model: Gasoline and Consumer Demand | |
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| Queuing Models | |
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| Discrete Probability Modeling | |
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| Probabilistic Modeling With Discrete Systems | |
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| Modeling Component and System Reliability | |
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| Linear Regression | |
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| Discrete Optimization Modeling Linear Programming and Numerical Search Methods | |
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| An Overview of Discrete Optimization Modeling | |
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| Linear Programming I: Geometric Solutions | |
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| Linear Programming II: Algebraic Solutions | |
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| Linear Programming III: The Simplex Method | |
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| Linear Programming IV: Sensitivity Analysis | |
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| Numerical Search Methods | |
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| Dimensional Analysis and Similitude | |
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| Dimensions as Products | |
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| The Process of Dimensional Analysis | |
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| A Damped Pendulum | |
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| Examples Illustrating Dimensional Analysis | |
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| Similitude | |
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| Graphs of Functions as Models | |
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| An Arms Race | |
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| Modeling an Arms Race in Stages | |
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| Managing Nonrenewable Resources: The Energy Crisis | |
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| Effects of Taxation on the Energy Crisis | |
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| A Gasoline Shortage and Taxation | |
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| Modeling with Systems of Differential Equation | |
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| Population Growth | |
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| Prescribing Drug Dosage | |
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| Braking Distance Revisited | |
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| Graphical Solutions of Autonomous Differential Equations | |
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| Numerical Approximation Methods | |
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| Modeling with Systems of Differential Equations | |
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| Graphical Solutions of Autonomous Systems of First-Order Differential Equations | |
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| A Competitive Hunter Model | |
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| A Predator-Prey Model | |
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| Two Military Examples | |
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| Euler''s Method for Systems of Differential Equations | |
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| Continuous Optimization Modeling | |
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| An Inventory Problem: Minimizing the cost of Delivery and Storage | |
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| A Manufacturing Problem: Maximizing Profit in Producing Competing Products | |
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| Constrained Continuous Optimization | |
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| Managing Renewable Resources: The Fishing Industry | |
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| Problems from the Mathematics Contest in Modeling. 1985-1996 (also available on accompanying CD) | |
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| An Algorithm for an Elevator Simulation Model | |
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| The Revised Simplex Method | |