I am a final year BSc Mathematics student and I am seriously considering taking a Master's sometime soon. Some institutions have two separate courses for pure and applied maths. My question is, if I was interested in a field such as PDE and wanted to do both sides of the pure and applied spectrum, i.e., existence and uniqueness, analysis etc.. and numerical modelling and such. What options are there in regard to this kind of thing? Does taking a pure course mean you get stuck in only the pure side of each topic? Or, is there generally a lot of overlap between the two sides?
Apologies for the wordy question and thanks in advance.