Recent content by deekin

Awesome! Thank you so much homeomorphic, I was hoping you'd chime in. The list of people to pay attention to is especially helpful. Georgia Tech also has this guy Stavros Garoufalidis that looks like he does some cool stuff and his students seem to get good post-doc positions afterwards. Once...

I'm starting to do some research into what grad schools I should apply to this fall for a pure math PhD. I'll be finishing my undergrad in May 2015 with a major in math and minor in physics. I'm not 100% sure what area I want to go in to, but I'm leaning more towards the topology and geometry...

You need to talk to the financial aid office of the school you want to attend.

You need to start making A's in those upper division classes. If they see an upward trend in your academic performance, that will help in minimizing the damage done by poor performance earlier on. In my own case, my academic history was similar to yours. I partied way too much my first two...

Ah, nevermind. I think I figured it out. I don't need to use induction. Just pick 0<delta<1. Then for all epsilon>0 and for all natural numbers x and y, if |x-y|<delta, then |f(x)-f(y)|=0<epsilon because |x-y|<delta<1 implies x=y.

Let f:N-> Q be a bijection. I want to show that this is uniformly continuous on N. (N is the set of natural numbers, Q the rationals). My first thought was to use induction. Since every point in N is an isolated point, then f is continuous on N. Let N1=[1,a_1], where a_1 is a natural number...

I clicked on this thread with the assumption that a joke would be the first response. You guys let me down. OP, just do your best. It is meant to be a struggle and to challenge you. I agree that there is not really a way to know ahead of time. Work hard and along the way consult knowledgeable...

Awesome, thanks Donut. What classes in Budapest did you take? Anything you'd particularly recommend? Were you there fairly recently?

On a related note, does anyone here have any experience at Math in Moscow? I've asked around in my own department, and apparently nobody in at least the past 10 years has gone anywhere like that. Or does anybody know of another study abroad program like that geared towards math majors?

Ah ok, thank you. For F = ma = mg - cv. However, I just got back from class and apparently he was mistaken, we were supposed to use the quadratic term for the air resistance rather than the linear. I've got it now, thanks again.

The drag acts in opposition to the velocity (always in opposition to the direction of movement), so it should be acting in the opposite direction to the force due to gravity. However, in lecture, as something is falling the professor put mg and cv to be negative. So I'm wasn't sure what to do.

Homework Statement A baseball (radius = 0.0366m, mass = 0.145kg) is dropped from rest at the top of the Empire State Building (height = 1250ft = 381m). Calculate (a) the initial potential energy of the baseball, (b) its final kinetic energy, and (c) the total energy dissipated by the falling...

Hopefully some of you have heard of this program and have participated in it yourself. Here's the website if you haven't heard of it before: http://www.budapestsemesters.com/ I'm thinking about applying to this program for either the summer 2014 or fall 2014. It looks really awesome. They...

The only simple interpretation that I can come up with is that the force that the string exerts on the block is less than the force F that is acting on the string. Thanks so much for your help, Chet.

Thank you. So using the above suggestion, for the forces in the x-direction for the string, I have F - mgsinθ - Fstring = ma Now I add this to the expression for the force in the x-direction for the block and get F - mgsinθ - Mgsinθ = (M + m)a so solving for the acceleration, we...