1. Chap 0. Fundamental concepts of FEM - an introduction
2. Chap 1: Boundary Value Problems
Potential energy, Ray-Ritz Method, Galerkin’s Method
Solution of linear simultaneous equation
Positive definite matrix, Gaussian Elimination method,
Conjugate gradient methods

3. Chap 2. One-dimensional Bar structures
Derive the finite element equation: linear shape function
Quadratic shape function，quadratic element
Temperature effects
4. Chap 3: Trusses
Plane trusses
3D-trusses

5. Chap 4:Two-Dimensional Problem Using Constant Strain Triangles
Finite element modeling
Derivation of constant-strain-triangle element
Boundary condition
Orthotropic material, Temperature effects
6. Chap5: 2D Iso-parametric Elements and Numerical Integration
7. Chap 6: Scale Field Problems
Steady state heat transfer
Potential flow, Acoustics
8.Chap 7: Beams and Frames
9.Chap 8: Dynamic consideration