Recent content by elarson89

Hello, I am learning about manifolds but I am not understanding part of the definition. This is what I'm looking at for defining the n-manifold M. (i) M is Hausdorff (ii) M is locally Euclidean of dimension n, and (iii) M has a countable basis of open sets I have a problem with (ii)...

graph f(x,y) = 0 (ignore the in maple part please!) NOTE: please ignore the in maple part of this! hi everyone, is there a quick way i can graph f(x,y) = 0 in maple? I've ran into this problem a couple of times where f cannot be separated very easily. Or are there any tricks to parametrize f...

Hello, I am looking for a resource (preferably a textbook) to help me with nonlinear, multivariable functions and working through taylor series expansions of them. My calculus book only covers single variable expansions unfortunately. Thanks

Hi all, I have what should hopefully be a quick question. Given an ODE of the following form (sorry no tex) y = y(x) with y' defined as differentiation wrt (with respect to) x y'' + y' + y = 0 and I want to make a change a variables A = x/a (for some constant a) so that we define a new...

genius! I had boltzmann's constant to be of order 10^23, not 10^-23. Thanks a ton!

Help with a loglogplot in maple please! Hi all, I have some physics homework that I'm trying to finish tonight. I have it all done and everything, and now all i have to do is make a plot. I'm trying to do a loglogplot of Planck's Law. Here's my code: with(plots); c:=2.998*10^8...

Do you know the textbook that will be used? When your prof told you that advanced calc would be helpful, he probably is just looking for a solid grasp of the calculus that you have taken already, as well as some vector calculus. Derivations of the heat and wave eq, as well as some important...

there's, only one addition formula for sine... and then there is the euler's formula e^ix=... and only one way to equate coefficients... I would write them out but I don't know how to embed tex.

One can look into any precalculus book and find a proof of the addition formulas of sine and cosine. Though as most are aware there is a quick way to get the formulas by using Euler's Formula. But to get the formulas by eulers formula, you must equate coefficients with respect to the imaginary...

One way you can visualize it is by using some geometry. Your example: if its my car, then its red. Think of a small circle, in that circle put "my car". Then put that circle in a larger circle, and lable the large circle, "red". Now you can see if you pick your car, you have to pick red. Now if...

I can't replace the grade on it, so flunking it isn't an option, and i don't think i will be retaking it either, though i might change my mind down the road on retaking it.

Hi everyone, I have a quick question, hopefully. What do you think would look better to a grad school, or rather, what would be the lesser evil, getting a C in a non major course, or a big fat W? If it matters, I have 3.7-3.8 gpa, and my lowest grade so far is a B+ (senior standing but with a...

I haven't read all 5 pages but i understand the question. I want to restate it because I am a bit confused on it too, but in more of a general sense. It's more intuitive to use the natural numbers in math, but somewhere along the line multiplication was generalized to include decimal...

I'm not quite sure on what I'll go to grad school for, but probably in physics and may pursue a higher degree in astrophysics. So far I've taken diffy q, intro to linear algebra, and a combinatorics class. I'm not sure what my favorite is but i really enjoyed both diffy q and combinatorics...

If you are familiar with the pigeon hole principle (PHP), this problem is pretty straight forward. If you don't know the PHP, it's simple enough, and goes something like this. If you have n+1 pigeons but only n pigeonholes, then there is at least one pigeonhole with 2 or more pigeons...