Introductory Material:

• Introduction to software package (e.g., MATLAB/SciLAB, MathCAD) and programming language (e.g., V-Python);
• limitations, errors and tolerances

Data organization for manipulation:                                                

• 2-D and 3-D plots, matrices and vectors, “Least Squares” method

Functions and Equations:                                                                  

• Systems of equations and approximation of functions (e.g., Taylor series, Fourier series);
• differential and state-space equations

Programming:                                                                                    

• Writing algorithms/programmes (e.g., Bisection method, Newton-Rhapson method);
• numerical integration

Applications:                                                                                      

Mandatory:

• Projectile motion with air resistance;
• Forced-Damped oscillations;
• Double-Spring oscillations;
• the wave equation, the heat equation, Poisson’s Equation.

Optional:

• Driven damped pendulum;
• Radioactive Decay;
• Potentials and Fields;
• Navier-Stokes Equation;
• Two- and Three-body problem;
• Planetary motion;
• Fourier Analysis;
• Transients in circuits;
• Chaos;
• Molecular dynamics;
• Electrostatics;
• Diffusion;
• Phonons;
• Random systems;
• Statistical mechanics;
• Quantum mechanics.