The title says it all, I studied very hard I would say, and it’s seemed to amount to nothing. I mainly focused on one part of the material since we only had to solve 2 out of the 4 problems on the exam and usually 2 questions where from what I focused on. As luck had it, there was only 1 problem for what I have studied for, and the problem was very hard and I could not solve it. The other problems seemed almost unsolvable unless you have seen the trick before , which I have not. Thus I could not solve any of the problems. The exam was supposed to mimic the qualifying exam, and the mean was 65%.
I have no idea how to move forward from here. It makes me feel like I am not cut out for math graduate school. What keeps me sane is the fact that I do well on the homework’s , when I have time to look at them.
Oddly enough I think the biggest pain is the shame and feeling of disappointing the professor. I visit his office hours regularly to ask questions and I end up with a 0%.. it will be humiliating having to pick up the midterm.
Any advice as to how to move on From here would be appreciated. Should I treat this as a wake up call and start studying harder and use this as motivation? Or should I just give up?