  These lectures present the Fermi-liquid theory of superconductivity, which is
applicable to a broad range of systems that are candidates for non-s wave
pairing, {\it e.g.} the heavy fermions, organic metals and the CuO
superconductors. Ginzburg-Landau (GL) theory provides an important link between
experimental properties of non-s wave superconductors and the more general
Fermi-liquid theory. The multiple superconducting phases of UPt$_3$ provide an
ideal example of the role that is played by the GL theory for non-s wave
superconductors. The difference between non-s wave superconductivity and
conventional anisotropic superconductivity is illustrated here by the unique
effects that impurities are predicted to have on the properties of non-s wave
superconductors.
