I am going to graduate this spring with a BSEE, but I have realized only now that going into the engineering industry is not the direction I want to take my life. After doing some deep introspection I realized that what I really want to do is go into academia, specifically in mathematics. Luckily, I had at least some foresight early on and picked up a minor in math. Ideally, I would like to finish the degree path that I an on and move straight into a masters program and then hopefully, eventually a doctoral degree program. However, after reviewing the requirements for acceptance into and curricula of several major math graduate programs and even the graduate program of the state school I currently attend, I am wary that, despite the amount of mathematical knowledge I have gained from my minor and what I have gotten from engineering, I am not well enough prepared for graduate school or to even get into a program.
So my question is should I still apply to graduate school despite these misgivings or would it be a good idea to switch majors/pursue a second bachelor's before I think about applying for graduate school. I am not unwilling to spend the extra time and money to do so but at the same time I am wary of doing something this drastic so late into my undergraduate career. Although one thing I am certain of is that this is indeed the path I want to take.