Preliminaries -- Introduction -- Integral formulations and variational methods -- Finite element analysis of one-dimensional problems -- Second-order boundary value problems -- Bending of beams -- Finite element error analysis -- Eigenvalue and time-dependent problems -- Numerical integration and computer implementation -- Finite element analysis of two-dimensional problems -- Single-variable problems -- Interpolation functions, numerical integration, and modeling considerations -- Plane elasticity -- Flows of viscous incompressible fluids -- Bending of elastic plates -- Computer implementation -- Advanced topics -- Weighted-residual finite element models, and finite element models of nonlinear and three-dimensional problems.