Is it difficult to work in PhotoShop/Illustrator,etc btwn Mac & Windows?

I am thinking about signing up for a Graphic Design class. The class is in a computer lab that runs Windows PC versoins of the software (PhotoShop, Illustrator, etc).

However, at home I have a Mac that has the same software. If I save the work I do at home on a flash drive (*psd, *ai, etc) will the windows version of the program recognize these files and vice versa? If not is there some sort of conversion process I need to do?

Thanks.