thanks everyone for advices, it's been helpful. well, i will try to do my best at this point, and working as hard as possible seems to be the way to go =).
ok here is my secret: I decided to quit pretending I was smarter than others and to try to see how good I really was: i.e. I decided to see how good I could be by aCTUALLY WORKING AS HARD AS POSSIBLE.
The result? I was nowhere near as good as I fantasized, but much better than I had been.
best wishes to you. you all know what you should be doing. my advice is merely that if you start doing those things, they will work for you.
I studied set theory a lot because it is rather important to what I study. However, it seems set theory and logic is something that you just kind of pick up as you go. At least, that's my experience.
You can hit two birds with one stone. First review the basic topics, such as vector spaces, dimension, linear maps, etc. Then look at more 'abstract' topics, such as, say, canonical forms of matrices, spectral theory, etc.How important is linear algebra to the mathematician? I have already taken a course in linear algebra, but I am thinking of studying it again over the break before 3rd year, since the course I took was not so good. Is it worth studying linear algebra properly, or should I focus on abstract algebra instead? Or both?
i was out one year from undergrad. the bigger gap was from grad school. i went astray in 2nd or 3rd year, hung on until the fifth and took off for a 4 year job teaching.
then i went back and finished the phd in 3 more years, at 35. (does that sound old? it does sort of to me too for a grad student, but i wouldn't mind being 50 again now!)
lets start a list of good free books.
Is this the same information you're going over in your Calc III class? If it is, use it Paul's Online Notes is a great resource. You also might want to try studying a different way, if your current method seems inefficient.