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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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