  In this work, we systematically analyze higher derivative terms in the
supersymmetric effective actions for three dimensional scalar field theories
using $\mathcal{N} =1$ superspace formalism. In these effective actions, we
show that auxiliary fields do not propagate and their effective actions can be
expressed in terms of the physical fields. So, the theory does not change its
field content upon addition of higher derivative terms. We use derivative
expansion to generate four, five and six dimensional terms for an interacting
scalar field theory with $\mathcal{N} =1$ supersymmetry. We show that along
with pure fermionic and bosonic terms, there are various five and six
dimensional topological terms that mix bosonic and fermionic fields. Finally,
we use these results to obtain higher derivative topological terms in the
effective action for two M2-branes.
