  We calculate the entropy of a two-dimensional Fermi Liquid(FL) using a model
with a contact interaction between fermions. We find that there are $T^2$
contributions to the entropy from interactions separate from those due to the
collective modes. These $T^2$ contributions arise from non-analytic corrections
to the real part of the self-energy which may be calculated from the leading
log dependence of the imaginary part of the self-energy through the
Kramers-Kronig relation. We find no evidence of a breakdown in Fermi Liquid
theory in 2D and conclude that FL in 2D are similar to 3D FL's.
