I'm currently pursuing a master's degree (math) in the US, and I have been accepted to a different PhD program (applied math). I've been offered funding for only four years, though, because I am already pursuing my master's degree. Is this something of a big concern? I'll essentially have to start over at the new program by trying to pass their preliminary examinations, and all other universities seem to provide funding for 5 years, even if students come in with a master's degree because in the US, the PhD process seems to take some time to complete.
Any ideas and suggestions as to whether this is something of a big concern, and whether students can get funded for an additional year even if they're coming in with a master's degree?
Here are some details about the two programs. The program that has offered me 4 year of funding has 2 qualifying exams. I will have to take classes for one of those qualifying exam. In principle, I think I can take the second qualifying exam soon, but I would still need to enroll in one one semester class to cover the last 20-30% of the material. This second exam, however, would require me to take at least some substantial time hitting 3-4 books, and practicing a lot to ensure I can actually solve the exam itself on the day of the exam.The program that has offered 5 years of funding has 3 exams, but I can fulfill the requirement for two of them by taking a sequence of graduate level course. One exam has to be written. The exams at both schools are of comparable difficulty, I suppose, with minor differences, of course.
I have been offered TA support by both schools, but I suppose this takes up a lot of time when it actually comes to getting down to doing research. I also don't know how the research experience, of course, is going to pan out.