For the purpose of curiosity, I was wondering what set of courses undergraduate math students take if they're on the track to apply for a PhD in Pure Mathematics vs. Applied Mathematics? Let me try to elaborate as best as I can. I mean at my current university, I've known several people who have gone through the track of going for a PhD in Pure Math and they have taken lots of Grad level Math courses and gotten into top US universities for a PhD in Pure Math where research experience in relevant fields is a plus (I think).
But my question is for undergraduate students trying to prepare for a PhD in Applied Math. What sort of coursework do they go through? I mean research experience (I believe) becomes important and taking graduate courses in Pure Mathematics is not so. I do not know much people who went for a PhD in applied math at my school.
I would appreciate it if anyone who can comment on the relevance of pure math grad courses for such students who aspire or strive in applying for a PhD in applied math. Any other comments pertaining to this is welcomed ;)