The supernova remnant IC 443 provides a striking example of a shock wave
impacting a molecular cloud, producing intense emission along several narrow
boundaries or "ridges." Observational evidence suggests that these molecular
shocks are either partially dissociating with the degree of dissociation varying
from point to point or that there are multiple shocks, possibly a mixture of
low-velocity, nondissociating C-shocks and higher-velocity, dissociating J-
shocks.  We propose observations of the SI(25), SiII(35), FeI(24), FeII(26,35),
OI(63,145), and CII(158) FIR fine-structure lines and the high-J CO lines at
selected positions throughout the remnant.  These observations will coincide
spatially with existing observations of H2, high-velocity HI, low-J CO, H2CO,
HCO+, HCN, CS, H51alpha, and OH and will serve as excellent discriminators of
the various shock models which have been proposed.