Hello all, I am a senior at a very unknown school (in terms of math, but comparing a few classes to youtube series at well known schools, our classes are certainly not a joke or anything). And I am trying to find the balance of realistic options but still want to go to the best school as possible. So i guess I'll share some info in hopes that someone could give me some advice
So my major is pure math and my minor is in chemistry and here is a list of all the classes I'll have finished by the time I submit my applications:
Calculus 1,2,3 and Proofs (Duh but figured I'd list it haha)
Abstract Algebra (Groups/Fields/Rings... etc)
Abstract Algebra 2 (Factor Rings/Ideals/UFDs/Finite Fields/Galois Theory)
Linear Algebra (Teacher loves Abstract and proofs)
Complex Variables (will take in fall 2011)
A. Calc (will take in fall 2011)
Numerical Analysis ( " " " " ")
History of Math (" " " " ")
Elementary Number Theory (Indepenent Study, school only offers it one in seven years >.<)
Algebraic Topology (Indepenent Study)
Classes in Spring 2012
Point Set Topology ( I know I should take this before Algebraic but I plan on learning point set this summer on my own)
My GPA for major and overall should be around 3.7-3.8ish (idk guessing kinda). I'll get a A+ letter from a recent UCLA PHD grad, a A to A- from a recent PHD grad from Penn State and I have to figure out who I'll get my third from. So will letters hold more weight if I apply to schools that my professors graduated from?
(Trying to be realistic) I think I can say schools like Harvard, MIT... etc are out of my reach, but say I got a 70% in one scenario on the subject what would my options look like? And what about 80%, and 90% and 95%?
Oh and I should mention that I want to do algebra, topology or number theory. Anyways any advice is appreciated and pointers to increase my chances. Thanks all!