MA422, Lia Vas    --  Mathematical Modeling Topics


1.     Basic ideas and techniques of mathematical modeling.

2.     Modeling methodology. Modeling skills. Model reliability. Model testing.

3.     Programing in Matlab. M-files.

4.     Modeling with differential equations. Continuous dynamical systems.

5.     Modeling with difference equations. Discrete dynamical systems.

6.     Dimensional analysis.

7.     Empirical (experimental) models. Effectiveness and validity.

8.     Interpolation and model fitting.

9.     Simulation modeling. Monte Carlo simulations.

10. Discrete and continuous optimization modeling.

11. Modeling with systems of difference and differential equations.

12. Report writing and result presentation.