Is there any fundamental difference between a statement of purpose for a masters and a PhD?
In particular, I am talking about North American graduate schools and in the fields like mathematics and science where there is a high degree of technical knowledge. This means that there may be quite a significant difference in the level of maturity when comparing a potential master's student and a potential PhD student
For instance, it may be more understandable for a student applying for a master's to have a less extensive research experience than someone who is applying for a PhD. But on the other hand, it also seems to make sense that the committee for graduate applications would be the same and it may be difficult to actually distinguish the difference.
My question stems from the fact that I don't seem to see any examples of statement of purposes that explicitly mentions that they are applying for a masters.
I would be thankful for any insights.