Ok, my friend, I was in your spot at one time, I found myself to significantly improve in maths from back in the day, when I was truly a monster. It seems to me you are cramming for a final examination perhaps. You've posted a many topics ranging from various form for the reason you stated, but the best thing you can do right now is take a break, go outside for a minute, open your mind to fresh air. Come back in, and for a few minutes evaluate to YOU what your weak points are in the course, assess them, and study each one intently, without jumping around from topic to topic causing your mind to be in a constant flutter of mathematical terms, Sorry to be of no use to your post. Mr. F warn me if need be.
lol youre totally right, but the thing is the exam is like 7 hours away, and i have another exam right before that...so im pulling an all-nighter trying to understand something.
in terms of what i dont understand, honestly, theres almost nothing that id be extremely confident on if i saw it. the class for someone like me is a monster- the book/curriculum is taken directly from MIT and you needed a 700+ on math SAT to even be considered (and even with all these topnotch students, the midterm was curved 40 points)
so at this point, i just want to be able to have something down for each question. i have followed that advice, and taken numerous breaks. but theres just so many things that were crammed in that im just trying to get a little bit of knowledge on everything rather than an extreme knowledge on one thing (and god forbid that 1 thing isnt on the 9-question test)
PS...the taylor error is probably the only thing i literally wold have to leave completely blank with no idea how to even start it (besides one other question that is forthcoming )
Worst thing I ever did for a math test or final. Pull an all nighters the night before, I always pull all-nighters previous to the test but never before, I allow my mind to rest, be at peace, re-gain its mental energy, get a good breakfast, and read up on some follow up questions pre-test. I suggest you do the same, a all night will not benefit you any much more than you what you can recall at this moment, If I recall these feelings, stress, panic, frustration, from studying all night thinking you know the material only to take the test and draw a blank. Get some rest bud, for a few hours, eat some food, then read up before the test. However, if you persist to study do as you mentioned copy down a legitimately example that can be easily seen by you to prove some theorem. Refresh after breakfast.
As for you Taylor series error, ill reply to that in an another thread.