Modelação Matemática e Aplicações

Objectives

Acquire knowledge about mathematical modeling of physical phenomena and associated numerical and computational aspects. Interpret numerical/computational results and the corresponding physical meaning.

Syllabus

Fundamental models from mathematical physics (Poisson, Heat and Wave equations). The course is based in two or three modules, that include some of the themes: - Volterra integral equations in population and biomedical models. - Mathematical models in neuroscience. - Image processing with partial differential equations. - Constitutive laws. Newtonian and non- Newtonian fluid models. Elasticity models.

Prerequisites

Differential and Integral Calculus III, Numerical Analysis.

Cross Competence Component

The UC allows the development of transversal competences on Critical Thinking, Creativity and Problem Solving Strategies, in class, in autonomous work and in the several evaluation components. The percentage of the final grade associated with these competences should be around 15%.

Programming And Computing Component

Includes the development of computational works.

Ethical Principles

All members of a group are responsible for the group’s work. In any assessment, every student shall honestly disclose any help received and sources used. In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.