Recent content by feuxfollets

First year econ/stat courses are rather boring for a mathematically minded person (I'm assuming first year econ refers to the kind where you don't go into things like lagrangians). Try to take an intermediate microeconomics course or something, you should be able to with nothing more than just...

Honors physics at my university pretty much expected you to know all of AP Physics already. There were also "proofs" (as in physics proofs, not math proofs) involving abstract particles/forces/etc. They're pretty basic, but if you've never done anything other than plugging numbers into...

Even so you'll almost certainly have algebra requirements in the applied math phd program. The grad math department at my school is top 20, and both the pure and applied math students have an algebra requirement. Algebra takes a bit of time to get used to, so you should learn it now.

I think it would be better for you to do research at the actual university you're attending, for two reasons: 1) The professor will be much more willing to train you and help you learn if he/she knows that you will be there for the next 4 years. It's a much better investment of the professor's...

You took 14 math classes in your first year? How is that even possible?

For physics and related classes involving lots of derivations/calculations, chalkboards are the best way to do it. Powerpoints are just.. terrible for any of these sorts of classes. In theory powerpoints can be used effectively, but in practice most teachers end up just reading the calculations...

I find Hatcher to be much more readable than Massey if you haven't seen much graduate level algebra yet. Massey just throws around things like direct limits of groups and tor functors and expects you to know them, or at most gives a dry list of properties. Hatcher actually goes through and...

I just want to know if I'm understanding this right. I haven't really seen homology/cohomology outside of Z-related coefficients before, so this still seems kind of weird. I also haven't actually learned sheaf theory, so this might just be totally wrong. So if I have a top space and a sheaf...

Personally I dropped my physics double major last semester to do more math, so summer is a good time for me to go back and look through some fun physics stuff. I plan on going through electromagnetism with differential forms and then doing some QFT this summer. I've also been going through the...

Machine learning is a very useful thing to know. There's some very interesting ideas there, and the field also has lots of applications. An AI course heavily depends on how it is taught at your university. Most undergraduate AI courses don't really go into much mathematical detail. Honestly...

summer: I'll be doing research in applied algebraic topology. don't know if I'm going to take an official class (I do want to go through the MITx circuits class though, that looks fun). fall: randomized algorithms machine learning differential topology algebra algebraic topology or measure...

Does your school actually enforce pre-reqs, as in, prevent you from registering? If not, just ignore them. Come senior year when it's time to graduate, they're not going to make you go back and take integral calculus if you've done well in vector calculus/differential equations/etc. you might...

Modern physics is doable as a freshman, I did that. You don't really need advanced concepts from mechanics or E&M, so an AP background is sufficient. As for the math involved, basic calculus should be enough for the most part. You'll need to pick up some stuff about PDEs but it won't be...

My point set topology course overlapped with real analysis a lot in the first half. I took them simultaneously though so I didn't run into the "review of real analysis" aspect. It does a few things in more detail than real analysis does (such as separability of topological spaces, Rudin only has...

So I got rejected from SUNY, Cornell, William&Mary, Fairfield, Indiana, UW-Stout. Haven't heard from Ursinus yet. so 6/7 rejected and I'm pretty sure I'm not getting into that last one. What do you need to get into these things?... I did a year of algebra and analysis, topology, differential...