  This is an introductory lecture to the theory of degenerate Fermi gases, in
the context of present experiments on atomic Fermi gases. In part one, some
properties of the ideal Fermi gas are presented, including a discussion of the
fluctuations of the number of fermions in a given spatial zone in 1D, 2D and
3D. In part two, two-body aspects of the interaction potential are discussed
and several possible models for the interaction are analyzed, including the
two-channel model for the Feshbach resonance. In part three, basic predictions
of zero temperature BCS theory are presented, including a derivation of
superfluid hydrodynamic equations from time dependent BCS theory.
