Since my GPA is not high enough to be competitive for the best phd programs and I haven't really decided my research interest, I think I will enter a master program first.
My undergrad major is theoretical and applied mechanics,and I want my master in applied math, and then my phd (most probably in the US) doing interdisiplinary research like brain science.
If this is the case, should I choose the shorter programs or longer ones? Is it better to write a thesis? Maybe longer programs will enable me to do summer research with profs from other universities? Will I be more privileged in applying for a phd in the US if my master is in the US? I am considering Canada, Ecole polytechnique in france and Berlin mathematical school as well.
Welcome any comments! THX!