Recent content by Battousii

I'm looking for my cat. I remember putting it in a box... :smile:

Well, if you just assume e^{i\pi} = -1 holds**, then you simply have e^{i\pi + 1} = -e. Since e^{x} = n is defined in \mathbb{R}^2 for any n > 0, you can come up with any z such that e^{i\pi + z} = - n for any positive n.** Of course, you don't have to assume anything. :biggrin: The proofs for...

Alright, thank you. That makes sense. Basically, a rigid motion will preserve distances and angles (in terms of vectors). Can you clarify what it means when the Orthogonal group, O(n), fixes the origin?

... fixes at least one point. I recently came upon the proof in a book and I didn't quite understand the notion of "rigid motion", and I was wondering if you could help clarify it for me. Is it just "the vertices must stay in the given order", as used in symmetries of polygons? I've attached...

Yes, that does make sense, and your words are very true. Thank you very much for your advice. Joe - Indeed, Chicago is among the best for mathematics. The B.S./M.S. Joint Degree program looks very interesting.

Excellent! I suppose that if you passed out of many of the other math classes, you could theoretically start off near grad level?

Thank you very much for your advice, Joe! He loves the University of Chicago -- in fact, it is one of his top choices, if not #1. His dream is Honors Analysis there, which I believe is for freshmen. Also, I think NC State requires a GED, so it may not be an option for him at all (Chicago does not).

Indeed. However, he has 3 years time before he enters university to fill in most of those gaps. Hopefully that will be enough time, given the pace he at which he is currently working. Committees are scary. Hell, white boards are scary. :eek:

"Fish" is an expression of surprise. :biggrin: Glad to see that it worked out well for you. If NC State gives him similar issues, then I suppose he'll have to look at other schools. Hopefully the AEO credits will be transferable to most other colleges.

Fish. :bugeye: Limitation is the worst thing you can do to a man. What if you take them through AEO? The classes he is studying are officially the classes he is taking through the homeschool.

Thank you for your advice. He'll contact the university, but if you have any more advice, please post.

Oh, right. There are other classes you have to take besides math to get the degree. I think they are a few classes in the natural sciences, and your normal core. Well, he's homeschooled, so it is possible to take many college classes in a day. I think I'm talking about just the math portion...

Okay, how about this: If the person wants to attend NC State and s/he takes many of the required classes for the B.S. math degree through this program, what happens? What if you start out at NC State at grad level? Do these graduate classes count towards your B.S. or a graduate degree? Should...

How exactly do placement tests work for most colleges? Do you say "I want to take so-and-so upper math class", and they'll give you a specific test for that class to make sure you have knowledge of the prerequisites? Ex. If you want to place into a graduate-level analysis class, will they test...