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After having completed the course, the student is able to:
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Formulate a design assignment as an optimization problem.
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Classify an optimization problem by its type of parameters, objective function and constraints.
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Choose appropriate mathematical solution algorithms for specific optimization problems.
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Use an optimization software toolbox to solve optimization problems.
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Course description:
This course deals with methods for systematic mathematical optimization of structures and systems.
Course content:
- Design optimization, design variables, objective function, constraints.
- Unconstrained optimization, conjugated gradients, Newton’s method, line search.
- Constrained optimization, Lagrange multipliers, sensitivity of the optimum.
- Mathematical tools, linear programming, non-linear programming.
- Design Sensitivity of linear problems, eigenvalue problems and time response.
- Model approximation, response surface, regression and fitting.
- Multilevel optimization.
- Topological optimization.
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