٤٠٠ فيز

Course Description:

1. Introduction: Computation and science, The emergence of modern computers, Computer algorithms and languages, Applications: Newton and Kepler Laws.

2. Numerical Linear Algebra: Systems of linear equations, Eigenvalues and eigenvectors.

3. Interpolation, Extrapolation and Data Fitting : Polynomial Interpolation, Data fitting, least squares fit.

4. Ordinary differential equations: Initial-value problems, The Euler and Picard methods, The Runge-Kutta method , Chaotic dynamics of a driven pendulum , Boundary-value and eigenvalue problems , The one-dimensional Schroedinger equation.

5. Numerical Integration: One-dimensional integral, Multi-dimensional integral, The Runge-Kutta method, Monte Carlo Method.