I completed my M.A. in Econ. last semester at a state school and had originally planned to pursue a Ph.D. in Economics but have decided to investigate the possibility of going in a different direction; while taking math courses in preparation for Econ. applications, I discovered that I perhaps have a stronger aptitude and interest in math than I do in Econ. I am considering submitting applications for applied math phds for 2013.
Undergrad: State school, ~ top 75 overall, probably stronger in math. Major: Econ. GPA ~3.07
Grad: State school, ~ top 100. Econ. M.A. ~3.86 gpa.
My grades are not spectacular, but I have taken the following math courses:
Calc I-Calc III
Numerical Analysis I (master's level)
Probability (master's level)
PDE (master's level)
Undergrad Analysis I
Undergrad Analysis II (pending)
Linear Algebra (master's level) (pending).
I received 'A' grades in all of these courses with the exception of the pde course (taking this with no analysis background was a terrible idea); this puts my math gpa at roughly 3.93.
My GRE general scores: 800Q/790V/5.0W.
I have not taken the math subject GRE yet. I am preparing now (I have some holes in coursework, particularly algebra, but I believe I can self study effectively). I understand this probably makes it difficult to evaluate my profile, but I wanted to solicit some opinions on how realistic I would be to apply for phd programs in applied math for 2013 pending a strong showing on the GRE? It is unlikely that I will be able to complete significant additional coursework prior to submitting an application beyond the two courses I am currently enrolled in; if it was absolutely necessary for me to take a particular course in the fall, I could probably do that (summer offerings are extremely limited).
Furthermore, I have some substantial research experience, but in Econ., not in Math; I doubt this is useful?
I appreciate any kind of input.