I remember one of my Calculus finals. I was like, "Hmm, I can't possibly study everything in this little time, so I'll just make sure I know everything up to the last quiz we had."
Question, like... 2 (a). Find the eigenvectors and eigenvalues of this matrix. I'm actually embarrassed to say I didn't know that at the time (if memory serves, they're really easy to do), but hey, it was taught in the last two weeks, so I really passed it up. Next question...
(b) Using the answer you got in (a), solve...
(c) Using the answer you got in (b), solve...
(d) Using the answer you got in (c), solve...
...
(i) Finally, solve this, using the answer you got in (h).
... Okay, 30 to 40% of the final right here. What did I need to increase my letter grade? 90 some odd? What did I need to not drop? Like, 25?
Ha. HAHAHAHAHAHAHAHAHAHAHAHAHAAAHAHAHA...
But in all seriousness, most my experience in math comes from finding meaning in numbers, taking a concept and understanding it in numbers, and daisy-chaining ideas until you get to what you want to find out. First step is to understand what the numbers mean, and why you should use one equation instead of another. Unfortunately, some people don't really tell you what they mean, or what they could be used for, and that just means a lot of people just think they're solving for x. I know that's kinda genero advice, but hey... that's really what math is supposed to drill into you, I think. It's not really about the integrals so much as it is problem solving.
Me personally, drop or not, all I'd be able to think of at this point would be my sweet, sweet revenge on this subject one day. It will be delicious, like gulping a cup of condensed milk. Also, the above taught me what happens when you hinge your bets like that.