1. Some preliminaries:the standard discrete system 2. A direct approach to prlblems in elasticity 3. Generalization of the finite element concepts.Galerkin-weighted residual and variational approaches 4. Plane stress and plane strain 5. Axisymmetric stress analysis 6. Three-dimensional stress analysis 7. Steady-state field problems-heat conduction.electric and magnetic potenteal.fluid flow .etc 8. Standard and hierarchical elemen shape functions :some general families of Co continuity 9. Mapped elements and numerical interation-infinite 'and 'singularity' clcmcnts 10. The patch test ,reduced integration and non-conforming elements 11.Mixed formulation and constraints-complete field methods 12.Incompressible materials,mixde methods and other procedures of solution 13.Mixed formulation and constraints-incomplete field methods,boundary/Trefftz methods 14. Errors,recovery processes and error estimates 15.Adaptive finite element refinement 16.Point-based approximations;element-free Galerkin-and other meshless methods 17.The time dimension-semi-discretzation of field and dynamic problems and analytical solution procedures 18.The time dimension-discrete approximation in time 19.Coupled systems 20.Compuret procedures ofr finite element analysis