In A Pocket Style Manual, 7th ed., it says that, although MLA doesn't require a title page, you need to have a header with you name, instructor's name, course title, and the date.
Title and identification MLA does not require a title page. On the first page of your paper, place your name, your instructor's name, the course title, and the date on separate lines against the left margin. Then center your title.
In my paper currently, I have
Does the order matter?