What's the difference betweeen the 2 degrees, does any school offer both degrees?
I would imagine that Engineering Physics implies that the school has some sort of engineering program. Perhaps Engineering Physics majors take a few classes in, say, the ME or EE departments. Whereas Applied Physics seems like it can be offered at even a liberal arts school with no engineering department, and can be a subset (or "track") within a Physics major.
Separate names with a comma.