
1st  9/28  Introduction: Analytical solution, Numerical solution 
 2nd  10/ 5  MATLAB: matrices and vectors, ODE solver, graphs 
 3rd  10/12  MATLAB: optimization, parameters, random numbers 
 4th  10/19  ODE: canonical forms of ordinary differential equations, state variables 
 5th  10/26  ODE: RungeKutta method, RungeKuttaFehlberg method, 
 6th  11/ 2  ODE: constraints, constraint stabilization method (CSM) 
 7th  11/ 9  Linear equations: LU decomposition, pivoting LU decomposition 
 8th  11/16  Linear equations: pivot selecting LU decomposition, Cholesky decomposition 
 9th  11/23  Projection: projection matrix, GramSchmidt orthogonalization, QR decomposition 
 10th  11/30  Interpolation: piecewise linear interpolation, spline interpolation 
 11th  12/ 7  Probabilistic algorithm: random numbers, Monte Carlo method 
 12th  12/14  FEM: shape functions, stiffness matrix, static deformation of beam 
 13th  12/21  FEM: inertia matrix, dynamic deformation of beam 
 14th  1/ 9  FEM: 2D/3D deformation, 2D/3D shape functions 
 15th  1/18  FEM: 2D/3D inertia matrix, 2D/3D stiffness matrix 