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Preface | |
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Overview Module | |
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Overview of Computational Science | |
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Projects | |
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References | |
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Module | |
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The Modeling Process | |
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Introduction | |
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Model Classifications | |
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Steps of the Modeling Process | |
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Exercises | |
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References | |
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Fundamental Considerations Module | |
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Computational Toolbox--Tools of the Trade: Tutorial 1 | |
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Download | |
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Introduction | |
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Module | |
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Errors | |
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Introduction | |
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Data Errors | |
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Modeling Errors | |
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Implementation Errors | |
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Precision | |
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Absolute and Relative Errors | |
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Round-off Error | |
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Overflow and Underflow | |
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Arithmetic Errors | |
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Error Propagation | |
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Violation of Numeric Properties | |
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Comparison of Floating Point Numbers | |
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Truncation Error | |
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Exercises | |
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Projects | |
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Answers to Quick Review Questions | |
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References | |
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Module | |
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Rate of Change | |
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Introduction | |
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Vel o c ity | |
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Derivative | |
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Slope of Tangent Line | |
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Differential Equations | |
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Second Derivative | |
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Exercises | |
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Project | |
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Answers to Quick Review Questions | |
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Reference | |
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Module | |
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Fundamental Concepts of Integral Calculus | |
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Introduction | |
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Total Distance Traveled and Area | |
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Definite Integral | |
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Total Change | |
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Fundamental Theorem of Calculus | |
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Differential Equations Revisited | |
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Exercises | |
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Project | |
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Answers to Quick Review Questions | |
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References | |
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System Dynamics Problems with Rate Proportional to Amount Module | |
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System Dynamics Tool: Tutorial 1 | |
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Download | |
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Introduction | |
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Module | |
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Unconstrained Growth and Decay | |
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Introduction | |
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Differential Equation | |
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Difference Equation | |
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Simulation Program | |
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Analytical Solution Introduction | |
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Analytical Solution: Explanation with Indefinite Integrals | |
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Analytical Solution: Explanation without Indefinite Integrals | |
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Completion of Analytical Solution | |
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Further Refinement | |
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Unconstrained Decay | |
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Exercises | |
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Projects | |
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Answers to Quick Review Questions | |
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Reference | |
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Module | |
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Constrained Growth | |
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Introduction | |
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Carrying Capacity | |
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Revised Model | |
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Equilibrium and Stability | |
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Exercises | |
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Projects | |
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Answers to Quick Review Questions | |
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References | |
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Module | |
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System Dynamics Tool: Tutorial 2 | |
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Download | |
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Introduction | |
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Module | |
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Drug Dosage | |
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Downloads | |
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Introduction | |
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One-Compartment Model of Single Dose | |
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One-Compartment Model of Repeated Doses | |
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Mathematics of Repeated Doses | |
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Sum of Finite Geometric Series | |
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Two-Compartment Model | |
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Exercises | |
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Projects | |
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Answers to Quick Review Questions | |
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References | |
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Force and Motion Module | |
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Modeling Falling and Skydiving | |
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Downloads | |
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Introduction | |
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Acceleration, Velocity, and Position | |
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Physics Background | |
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Friction During Fall | |
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Modeling a Skydive | |
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Assessment of the Skydive Model | |
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Exercises | |
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Projects | |
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Answers to Quick Review Questions | |
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References | |
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Module | |
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Modeling Bungee Jumping | |
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Downloads | |
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Introduction | |
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Physics Background | |
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Vertical Springs | |
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Modeling a Bungee Jump | |
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Exercises | |
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Projects | |
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Answers to Quick Review Questions | |
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References | |
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Module | |
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Tick Tock--The Pendulum Clock | |
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Download | |
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Introduction | |
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Simple Pendulum | |
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Linear Damping | |
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Pendulum Clock | |
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Exercises | |
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Projects | |
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Answers to Quick Review Questions | |
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References | |
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Module | |
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Up, Up, and Away--Rocket Motion | |
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Download | |
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Introduction | |
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Physics Background | |
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System Dynamics Model | |
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Exercises | |
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Projects | |
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Answers to Quick Review Questions | |
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References | |
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Simulation Techniques Module | |
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