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I'm wondering, what skills a person interested in FE needs and how proficient he/she has to be? One particular skill I'm thinking of is programming. After going through an MFE program, will I be good enough? I always look at the CS and ECE guys doing some hardcore programming and I feel that I...

I'm currently majoring in engineering, and I must say that the rigour of mathematics is fair. Some courses are much easier, while others are a bit more complicated. However, I think this is nothing compared to what the pure math/theoretical physics guys go through. What kind of mathematics are...