1. Name 5 reasons why the FEM delivers you only an approximate solution. 

2. Try to show that abrupt changes of material properties can cause numerical difficulties by attempting the solution of the 2 spring model presented in class 

3. Show that th final form of the conservation of linear momentum equation for 3D elasticity follows the use of gauss divergence theorem. 

4. What is interpolation? Give a simple example. 

5. R is the region defined by x2 +y2 + z2 s 1. Use divergence theorem to evaluate J zdv 

6. Prove the following vector identity using third order permutation tensor definition.