The growing importance of computational physics to physics research as a whole will depend not only on increasingly powerful computers, but also on the continuing development of algorithms and numerical techniques for putting these machines to use. Computers are one of the most important tools available to physicists, whether for calculating and displaying results, simulating experiments, or solving complex systems of equations. This course covers a broad spectrum of the most important, basic numerical and analytical techniques used in physics. It contains also many applications in physics (Gravitation, Newtonian Mechanics, Electricity and Magnetism, Vibrations and Waves, Optics, Electronics) based on programming with the procedural languages as MAtLAb, Fortran, C/C++ or Python.