Thanks again for the responses.
@TakeruK Yes you are right, sorry I should have made it clear at the beginning that I just finished first year undergrad and in September I will be starting second year. The good thing about my university is that you can change your concentration any time in the sense that the degree matches the courses you take and not the other way around. There is a 'financial math' degree but there all the rigor of math is watered down and as Arcanen mentioned correctly.
"In terms of previous coursework, having the fundamental skills in mathematics, modelling and programming (which, fortunately for me, is practically what electrical engineering is) is much more important than having previous finance knowledge (or even mathematical finance itself; experience in real analysis for example is more important than a course on pricing derivatives)."
Regarding interest, I am pretty sure this is what I want to pursue in the future but I understand that interests could evolve over time so I am picking courses that are quite transferable. Another question I have is on the transcript, do the universities see what major/minor you have declared or only the courses that you have taken?
@ Sigaba Thanks, I will keep this in mind.
@ Arcanen I think you are enrolled in the programs that I want to go to so all the things that you have written I have all read before. But I think you misunderstood my posts. I have not taken or intend to take courses like finance as I understand they are not quite useful for this field. All the courses that I am taking are all quantitative courses. What I am saying is that I will taking courses like Time Series, Stochastic processes in 3rd year switching with abstract algebra and topology.