
1st  4/12  Introduction: Analytical solution, Numerical solution 
 2nd  4/19  MATLAB: matrices and vectors, ODE solver, graphs 
 3rd  4/26  MATLAB: optimization, parameters, random numbers 
 4th  5/10  ODE: canonical forms of ordinary differential equations, state variables, RungeKutta method 
 5th  5/17  ODE: RungeKuttaFehlberg method, constraints, constraint stabilization method 
 6th  5/24  Linear equations: LU decomposition, pivoting LU decomposition 
 7th  5/31  Linear equations: pivot selecting LU decomposition, Cholesky decomposition 
 8th  6/ 5  Projection: projection matrix, GramSchmidt orthogonalization, QR decomposition 
 9th  6/ 7  Interpolation: piecewise linear interpolation, spline interpolation 
 10th  6/14  Probabilistic algorithm: random numbers, uniform random numbers, normal random numbers 
 11th  6/21  Probabilistic algorithm: Monte Carlo method 
 12th  6/28  FEM: shape functions, stiffness matrix, static deformation of beam 
 13th  7/ 5  FEM: inertia matrix, dynamic deformation of beam 
 14th  7/12  FEM: 2D/3D deformation, 2D/3D shape functions 
 15th  7/19  FEM: 2D/3D inertia matrix, 2D/3D stiffness matrix 