I am currently majoring in Physics but I am thinking about changing my major to Mathematics because feel more attracted to it as a subject. However, I have been told that in Physics, one almost always gets a full scholarship to attend graduate school. Is it hard to obtain a scholarship to go to grad school in Mathematics here in the U.S.?
At most US universities, Ph.D. students in mathematics usually receive full financial support that covers tuition as well as a modest stipend (i.e. money paid to you directly for your living expenses, usually between $15,000-25,000 per year). This is normally some combination of:
In my experience, the word "scholarship" is not usually used when talking about funding for graduate study.
Note that the above only applies to Ph.D. programs. Masters students generally have to pay their own tuition and living expenses (perhaps via loans), though sometimes a limited number of teaching assistantships, etc, are available.