Introduction in the Finite Element Method (FEM). General description of the FEM. Displacements method. Plane finite elements. Three dimensional and axisymmetric finite elements. General families of elements and isoparametric elements. Generalization of the Finite Element Method. Weighed Residual Method (Variational Methods, Rayleigh-Ritz Method). Fluid and Heat conduction field problems. Elasto-Dynamic field problems (static and dynamic behaviour). Incompressible and non-Newtonian materials (application in the simulation of structural problems). Methods for the solution of large systems in the FEM. Pre-processing and post-processing of data and other techniques in the FEM. The errors in the FEM.