-- Knowledge and understanding of elementary concepts for the numerical modeling of elliptic and parabolic partial di_erential equations, in particular, based on finite difference, finite element, spectral and boundary element methods. - Ability to program the discussed numerical methods in Matlab for classical elliptic and parabolic linear equations, as well as the evaluation of algorithmic aspects, accuracy, stability and efficiency. - Autonomy of judgment in evaluating the approximation algorithms and the obtained results also through discussion with one's peers in possible team work. - Ability to clearly communicate the acquired concepts and to discuss the obtained results. - Ability to learn the drawbacks and the advantages of models and methods of resolution and to apply them in di_erent working and scientific contexts.