Discretization of the domain. Interpolation polynomials. Simplex, complex, and multiplex elements. Interpolation polynomials in terms of global and local coordinates. Formulation of element characteristic matrices and vectors. Variational approach. Assembly of element matrices and vectors and derivation of system equations. Incorporation of the boundary conditions. Solution of finite element equations. Higher-order and isoparametric formulations. Numerical integration. Applications to static and dynamic analysis of solids and structures, steady and unsteady heat transfer and fluid mechanics problems.