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Course Weekly Lecture Plan

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
 
 
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