General introduction -- Mathematical preliminaries and classical variational methods -- 1-D Finite element models of second-order differential equations -- Applications to 1-D heat transfer and fluid and solid mechanical problems -- Finite element analysis of beams and circular plates -- Plane trusses and frames -- Eigenvalue and time-dependent problems in 1-D -- Numerical integration and computer implementation -- Single-variable problems in two dimensions -- 2-D Interpolation functions, numerical integration, and computer implementation -- Flows of viscous incompressible fluids -- Plane elasticity -- 3-D Finite element analysis.