**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 |