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Re: No Linear Algebra and Calc II and III, NEED TO APPLY FOR PHD ECONOMICS, WHAT DO I
I feel bad for you, but the simple fact is that even a very low ranked Econ PhD program will not look at a candidate with as weak a math background as you. Calc III and Lin Alg are absolutely necessary just for making it through the first year classes of an Econ PhD program. For that matter, some US MA programs in Econ require Calc II, and a few require at least one of Calc III or Linear Algebra. Pretty much every US university is already at least two weeks into the fall semester, so it would probably be very difficult for you to take courses as a non matriculated student this fall.
Spend a year taking Calc II, III, Lin Alg and possibly a serious undergraduate econometrics class (if you do not have it). If you could somehow squeeze in Real Analysis and a good Probability course that would help. Then apply next year. Even so, you would probably only have a chance at a lower ranked program, though it seems to me that you would be OK with a lower ranked program as long as it is respected enough that graduates can get decent industry jobs.
I do understand that you only have a year left on your contract but there is no way for you to be ready to apply this fall to PhD programs. If staying in the US after the end of your contract is an issue, you might be able to get into Econ MA programs which usually have application deadlines in the Spring, some as late as May.
Given your current job, having the Sociological Econ MA from LSE, and the fact that you want to work in development it might be a good idea to look a little outside the standard Econ PhD programs. A PhD in Public Policy or in Development or something similar, perhaps with an Econ oriented focus might work out better for you. However, you would still probably need Calc III and Lin Alg to get into a good program in those fields that have an Econ focus.