<p>Hi everyone,</p>
<p>I graduated in 2012 with a BS in ME and a minor in mathematics from Northeastern University with a 3.8 GPA. As was required by my major I took Calc 1-3 and a joint differential equations/linear algebra course.</p>
<p>Beyond those requirements I took the following math courses.</p>
<p>Combinatorial Math
Probability
Statistics and Stochastic Processes
Partial Differential Equations</p>
<p>These were chosen based on the availability in my schedule, not particularly on interest. I had an A in every math class I took except for Combinatorial, which I had a B+.</p>
<p>While I was in school I flirted with the idea of pursuing a PhD in Math because I truly enjoyed studying the subject. Regardless I ended up going out to make some money first because it seemed to be the responsible decision considering the debt I had accumulated.</p>
<p>After I pay off my undergraduate debt and save up some money I would like to pursue the PhD in Math and that is what I have come here to ask about. I am interested in going to any respectable coastal program, but UCSD is currently at the top of my list (if anyone knows of any other good programs along the coast I'd be happy to hear about them). I don't plan on pursuing this goal for anywhere from 5-7 years. </p>
<p>My questions are as follows:</p>
<p>What steps should I take to make applying to graduate programs in 5-7 years as smooth as possible?</p>
<p>Am I a competitive applicant with my current credentials, or should I assume I will need to go back to school for a couple semesters to fill in some holes and possibly finish my math degree (this could put me farther out, maybe 7-10 years)?</p>
<p>Will my undergraduate credits even be valid this long, or do they ever "expire"?</p>
<p>If I were accepted into a PhD program with my current credentials, is it realistic to think I could fill in knowledge gaps (no high level algebra/analysis) and still finish the program in 5 years?</p>
<p>I know I'm throwing a lot on the table here but from what I've seen lurking on these forums it is one of the best sources for this type of information. If anyone has any experience with people going back for a PhD after a while in industry (especially in a separate field) any input would be greatly appreciated!</p>