Introduction to Mathematical Modeling
4 steps in doing modeling:
1. formulation of a problem: approximations and assumptions to develop, simplify and understanding the mathematical model;
2. solve the equation(s): analytically (usually with some simplification) and numerically;
3. interpretation of the mathematical results in the context of the physical problem;
4. prediction: see the limitation(s) of the mathematical model/theory.
Simple pendulum: derivation of the nonlinear ODE. small angle approximation. period for both the linear and nonlinear pendulum.
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Final Presentations: For groups of a single student, I have put a star next to the group number. The presentation should last for 10-14 ...
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Below is the arrangement for the rest of the lectures. NOTE: All HW/Project due dates are highlighted in red . Meeting with indiv...
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