Is it permissible to study by means of a non-Islamic bank that covers the tuition fees?

What is given for your studies is likely to be either part of your father's unlawful salary, making it unlawful (haram), or from unlawful interest (riba), making it forbidden to take unless you are poor and in need. It is also possible that it comes from the bank's mixed funds (containing both lawful and unlawful elements), in which case taking it is disliked (makrooh) but not forbidden (haram).