  We discuss the formulation of cosmological topologically massive (simple)
supergravity theory in three-dimensional Riemann-Cartan space-times. We use the
language of exterior differential forms and the properties of Majorana spinors
on 3-dimensional space-times to explicitly demonstrate the local supersymmetry
of the action density involved. Coupled field equations that are complete in
both of their bosonic and fermionic sectors are derived by a first order
variational principle subject to a torsion-constraint imposed by the method of
Lagrange multipliers. We compare these field equations with the partial results
given in the literature using a second order variational formalism.
