  We investigate (pseudo)differential forms in the framework of supergeometry.
Definitions, basic properties and Cartan calculus (DeRham differential, Lie
derivative, inner product, Hodge operator) are presented; the symplectic
supermechanics (even and odd) is formulated; and the question of quantization
is discussed. In the framework of supermechanics, we investigate also classical
Hamiltonian systems converting to SUSY-QM after quantization.
