Prepositions

ad + accusative

to, towards, at

apud + accusative

among; near; at the house of; in the hands of; in the works of

contra + accusative

against

per + accusative

through, by (as in 'by means of')

a or ab + ablative

from, away from; by
(by: usually a person, after passive verbs)

cum + ablative

with, together with

e or ex + ablative

from, out of

in + accusative

into, onto, against

in + ablative

in, on

sub + accusative

up to

sub + ablative

under, beneath

ante + accusative

before; in front of

erga + accusative

towards; with regard to

inter + accusative

among, amid; during the course of; between

intra + accusative

within, inside

ob + accusative

because of, on account of; with a view to, in connection with

propter + accusative

because of, on account of; for the purpose of

de + ablative

about, concerning

pro + ablative

in front of; as a substitute for, in place of; according to; for, in return for; on behalf of

sine + ablative

without

super + accusative

to a position higher than

super + ablative

in a position higher than

causa + genitive
gratia + genitive

sake of; for the purpose of

in casa
in mensa
ad aquam
in aqua
in casam
in mensam

in the house
on the table
towards the water
in the water
into the house
onto the table

post + accusative

after, behind

in dies

day by day, as the days go by

prope + acc.

near

circum + acc. 

around