| Week |
Topic |
| 1 |
Introduction to numerical methods, Programing and Software |
| 2 |
Mathematical Modelling and Engineering Problem Solving |
| 3 |
Approximation,round-off and truncation errors, Taylor series |
| 4 |
Bracketing Methods |
| 5 |
Open Methods
Homework #1 |
| 6 |
Linear Algebraic Equations:Gauss Elimination, LU decomposition and Matrix Inversion, Special Matrices and Gauss-Seidel
Homework #2 |
| 7 |
Optimization:One- and Multi-Dimensional Unconstrained Optimization,Constrained Optimization
Midterm #1 : 27 March 2012, 18:00-20:00 |
| 8 |
Curve Fitting: Least-Squares Regression, Interpolation
Homework #3 |
| 9 |
Curve Fitting: Fourier Approximation |
| 10 |
Numerical Differentiation and Integration: Newton-Cotes integration formulas
Homework #4 |
| 11 |
Numerical Differentiation and Integration: Integration of equations, Numerical differentiation
Midterm #2 : 24 April 2012, 18:00-20:00 |
| 12 |
Ordinary Differential Equations: Runge-Kutta Methods, Stiffness and Multistep Methods, Boundary value and Eigenvalue Problems |
| 13 |
Partial Differential Equations: Finite Difference- Elliptic equations
Homework #5 |
| 14 |
Partial Differential Equations: Finite Difference- Parabolic Equations), Finite Element |