What will Naval Reactors ask you??? Anything they want to.
Moral of the story. Don't worry about memorizing theorems and rules. They are looking to see how you think. They really could care less if you know the integral of the natural log of x or that the derivative of x raised to the n is n times x raised to the n minus 1 power. 
Yup! Good info here.
They
definitely want to see you thought process. Write down the question asked, all assumptions, equations, solution steps and your final answer. Make it absolutely clear, on paper, how you processed the problem from point A to point B to point C and etc. Someone, completely removed from the interview, should be able to walk into the room and know at a glance what was asked and how you came to your conclusion. Hell, the interviewer may not even be listening to you. How frustrating would it be, if after a 100% technically correct dissertation on why a heat engine can never be 100% efficient, the interviewer looks up at you and starts asking you more questions about info you already divulged. So, it is very important to write everything down. For the most part, the interviewer could really care less what the actual answer is or if it is not 100% correct. It is the process!
DO NOT, under any circumstance, give up and say,
" I don't know".
Do not argue with the interviewer.
Listen to the interviewer. If during the interview, he/she interrupts you, tries to correct you or tries to guide you to the correct response, then shut-up, take their advice and move on.
If you have received any poor grades, i.e. C or below, you better have a darn good reason why. Those reasons had better not lay blame to anyone else but yourself. Good examples are:
1) I underestimated the class and did not focus as hard as I should have.
2) I did not realize I was having trouble in the class until it was too late and I did not seek help in time to recover.
Have a plan to address shortcomings, ensure success and prevent future piss poor performance.
Hope this helps and good luck.
