Bs physics-> ms engineering

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i know this has been done to death but i think i have unique and timely questions

i have a bs from fsu in 2010 pure math with a minor in physics with an overall gpa of 3.72 but all the coursework for the physics major except for 1 class, so i consider myself a physics major graduate. i've decided i'd like to pursue a master's in engineering for fall 2013.

first question: do you know any programs that are receptive to transition students? such a program would be one that you have anecdotal evidence for accepting physics bs holders and allowing them to take undergrad "catch up" courses or explicitly states as such. there are obviously tons of engineering programs and i'm having a hard time narrowing down the list at all.

second question: how competitive am i? gpa is what it is, i have 2 decent, but not great letters of rec from course professors, 1 perfunctory one from another, and i'm in the peace corps as secondary math/physics teacher right now. unfortunately i have 0 substantive research experience.

third question: what field would be a good fit for me? i like programming, i like math a lot (obv), i like fundamental physics (just not enough to starve while pursuing a career in it), i like hands-on work, i'm not averse (receptive even!) to moving abroad. from reading around i surmise that something that involves DSP and multiphysics modelling and materials characterization (i realize those are 3 really disparate things) would give me some really marketable skills. is there an engineering discipline at the intersection of those 3 fields? otherwise i'm leaning towards something versatile like ME or EE but a couple of days ago i got the crazy idea (inspired by a reddit post) that NucE would be fun. the problem is that reading a couple of the posts Astronuc has commented in i'm worried that job prospects in NucE aren't as good as they were a couple of years ago because of plant contract withdrawals after fukushima. i hope he sees this one and can comment. third and a half question: am i dumb for thinking that oil/petroleum is not a growing industry anymore because (cheap) oil reserves are being exhausted? does it still make sense to do something like petroleum/oil engineering? third and three quarters question would geophysics be a better route then?

sorry question 3 kind of got out of hand

fourth question: is there any chance of getting a master's funded? again from reading i think this is probably a long shot and i'm slowly coming to terms with the fact that i might have to pay for it but does anyone know of any programs that fund master's engineering students?
 

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