IMEC-4001 Matemáticas Aplicadas

Vectorial n-dimensional spaces. Lineal operators, self-value theory, Jordan forms and application to ordinary equations. Differential vectorial operations: escalation and vectorial field gradients, divergence and rotational, total derivatives, vectorial operators in mechanics. Balance problems: discrete, continuous, orthogonal expansion solution, non-linear problems and linearization. Dynamic problems: symmetric and continuous problem solving, modal analysis, orthogonal expansion solution for diffusion problems, Fourier transform. Finite elements: variational problems on spaces with discrete functions.