If you're wondering about a specific college, why don't you just look at their website? Most departments have a grad student directory.
I'm not a physics grad student, but as a physics undergrad my graduating class and the class below us was pretty close to gender balanced.
I double majored in math and physics. I found the earlier classes more difficult than the latter. The early classes are usually fast, nonrigorous, vague, and your first introduction to many of the ideas of math/physics. In the latter classes you move slower and the discussion is much more...
One way to think about the Laplacian of a function is that it is a multi-dimensional version of concavity. In the 1-d case it is just the second derivative. Think about the wave equation for a string- this states the vertical acceleration of a point on the string is proportional to the...
My suggestion is MATH 4355: Mathematics of Signal Representation. Why? Because I think it will pack the most punch for the money. The idea of a signal is incredibly useful and unifying, and you don't really have go into full rigor to understand things conceptually. I was lucky to learn these...
My experience has been that it in no way affects your chances of getting into a grad school. I got a DUI when I was 20. Last year I applied to nine graduate schools (for math), and of those, only one required me to list such information. In that one case I had to write a short explanation...
I love seeing threads like these, because they remind me that even within something as specialized as mathematics we all have our differences. I'm a grad student and honestly I have a hell of a time with algebra, topology, and number theory, but analysis comes easily. Maybe it is just the...
When I encountered high school physics I was not interested much... it, along with math, seemed pretty uninteresting and useless. I was practical so I went to college as as engineer, but I eventually realized that the things that mattered were essentially physics and math. I then became...
Wow, I appreciate the sources Chris! The historical development of the terminology (which in my experience often includes insights) is not something that is commonly taught. I'll keep that information in mind for (1) my own studies and (2) when I teach the subject.
Replies to questions like this always run the risk of going into some sort of pseudophilosophical debate, but what the hell, sometimes they provide some insight. The vector/tensor field seems natural enough... "field" typically refers to something spatial like that... or you could say a vector...
It has nothing to do with physics vs. math. The two different entities of a vector (or tensor) field and an algebraic field were assigned the same name. Both entities occur in physics and math.
Once you see why this is true you're going to kick yourself because it is quite simple. Here's the definition of partition into slices:
partition into slices = partition into disjoint open subsets such that the restriction of p to each open subset is a homeomorphism
My impression:
If someone is such that they are impacted moreso by the duration it took you to get the degree then they are by your accomplishments along the way and your potential for the future, then it is likely they will not be in any position of authority to determine your job prospects...
Having somewhat recently scaled this hill myself, I'd say it's most important to understand the ideas in linear algebra and how they apply to differential equations. Also, you will want to know the very basic ideas of probability. I'd list off the key concepts to focus on (in this order) as...
What you should do with a problem like this is just write down the logical structure that you need to prove the result and look at the definitions of the entities involved. What I mean is this:
1) Show (An converges) implies (Bn converges). The symmetry in the assumptions then gives you the...