Recent content by remil

Thanks a lot, I really appreciate the feedback. Did you find studying the proofs in books alone good enough though? We're using Spivak & Munkres now (mainly Spivak), and the exercises were either too difficult for me, or either useless because they were easy in the sense that they were more or...

For example when I try to go through longer proofs such as change of variables/partition of unity or implicit function theorem, I don't really feel like I understand what's going on even I read through it for a few times, and I certainly wouldn't be able to proof something like that by myself...

Since the OP brought up the issue of being overwhelmed with the material, can anyone also give some insight in how long to study per day (or what pattern) heavily proof-based mathematics? I also frequently feel that I'm overwhelmed with the material when I study for long hours, but on the other...

Thanks for the feedback and I decided to take the position. I would appreciate if anybody could give me more advice on finding a mentor/help as I indeed feel quite helpless. The instructor is a very nice and approachable person but he never posts any solutions to any of his practice...

Hi, I'm in a dilemma between my grades and research and I would greatly appreciate any advice. I'm currently 2nd year and taking a full year Cal 3 course (on Manifolds) and I have been doing quite poorly so far. I expect that I might get a B if not a C for the course, which will bring down my...