The purpose of these lectures is to give a basic introduction to the physics of phase transitions far from equilibrium. Starting with a general introduction to non-equilibrium statistical mechanics four different topics will be addressed. At first the universality class of directed percolation will be discussed, which plays a fundamental role in non-equilibrium statistical physics. The second part concerns the properties of other universality classes which have been of interest in recent years. The third part deals with phase transitions in models with long-range interactions, including memory effects and so-called Levy-flights. Finally, deposition-evaporation phenomena leading to wetting transitions out of equilibrium will be reviewed.