She broke up with you because she couldn't handle the stess of you and her exams? Is that right? What? She couldn't just ask you to give her space for a couple of weeks while she handled studying and writing her exams? If she regrets breaking up with you then don't you think she should be the one to tell you that she made a mistake and actually make an effort to reconcile rather than you do all the reaching out? You make an effort after she broke up with you then once again she holds all the power in your relationship and you'll have just told her you will let her do anything and you'll take her back (no questions asked).
Up to you how you go about it of course, but I'll tell you right now that you'll have a far more attentive gf if she has to at least make SOME effort to have you. It's human nature to appreciate something we've had to work for or put effort into obtaining.
“The willingness to accept responsibility for one’s own life is the source from which self-respect springs.” ~Joan Didion