In this thesis we experimentally study the infrared magneto-optical properties of single and multilayer epitaxial graphene grown on a SiC substrate. Which is a promising material due to the scalability of the production method. However, graphene grown on SiC is also very complex, due to grain boundaries, wrinkles and in the case of multilayer graphene a twisted stacking. The optical experiments reveal a giant Faraday rotation in highly doped single layer graphene of several degrees. The spectra also show clear evidence for plasmonic and magnetoplasmonic excitations. From the transmission and Faraday rotation spectra the optical conductivity and a.c. Hall conductivity – the optical analogue of the d.c. Hall conductivity – are obtained, respectively.