After graduation, I will go to a graduate school to pursue a master by research degree in Applied Mathematics. The program will be research-based without any coursework.
The supervisors can suggest some courses to take if they think it's nececessary, but let's assume that the program will be research-based only.
I am confident with my mathematical skill. I believe it is good enough to understand research papers in the field I am interested. However, there are clearly a lot of advanced (applied or pure) mathematics topics that I have not learnt.
At the moment, it is not necessary for me to learn them, but I don't know if they will be useful in the future. For example, A gets inspired by a concept/technique in another field B to produce algorithm C in field D. Knowing things in B may help, but of course, it is not guaranteed and could be a waste of time.
Since the program is research-based, my time will be devoted mostly to research work, and there will be no time for any coursework. I wonder if it is a problem to start with research too early instead of spending time on taking advanced coursework to (at least) have a basic understanding of other fields in mathematics.
Should I delay the enrolment date to self-study some coursework, or should I just focus on doing research instead and learn things along the way?