  In this paper, we propose a recipe for B-model computation of genus 1
Gromov-Witten invariants of Calabi-Yau and Fano Projective Hypersurfaces. Our
formalism can be applied equally to both Calabi-Yau and Fano cases. In the
Calabi-Yau case, drastic cancellation of terms used in our formalism occurs and
it results in another representation of BCOV-Zinger formula for projective
Calabi-Yau hypersurfaces.
