Introduction to Cartesian tensors and indicial notation; stress tensor; strain tensor; stress and strain tensor transformation in 3-D; linear constitutive equations for isotropic, orthotropic, and anisotropic materials; governing equations of 2-D and 3-D linear elasticity; applications of2-D elasticity in rectangular and polar coordinates; torsion of prismatic bars; FEM solutions; failure criteria; introduction to plasticity.