Helpful links
My notes for the vectors stuff of MA12001 are here: https://dundeemath.github.io/MA12001-algebra/_site/. This module builds directly on this (particularly chapters 1 and 3) so it may be helpful to revise this.
Most of the important results in this module are here: https://en.wikipedia.org/wiki/Vector_calculus_identities. Your formula sheet in the exam should be based off this.
The curvilinear co-ordinate results are summarised here: https://en.wikipedia.org/wiki/Del_in_cylindrical_and_spherical_coordinates.