It might be difficult to give a good answer to your question, but I have a couple of remarks that might help.
First, applications of mathematics is on-topic. There is a tag for this (applications).
I think that asking about how specific courses at your university are relevant for specializations would be too difficult to answer. I think that you would be in danger of asking a question that would be heavy dependent of personal opinions or a question that no one (except someone from your university) would be able to answer (so it might be closed as not a real question.)
You might also run into problem of your question being too broad when asking about the general use of a topic. (For example see this closed question.)
You also want to be careful that you don't just solicit opinions. What courses are essential to a career path/specialization I think would depend too much on opinion. If you do want to ask this question, I suggest making it very clear what you specifically want to do.
There are several questions still open that basically asks about a real life application of a topic. And this seems to be similar to your question. See for example
An idea could be to look through the above (still open) questions to see if you can formulate your question in a similar fashion. Now, I do note that the above questions are all old and some might say that these questions should be closed.
Also, the following older meta thread might be helpful: