My son is at Case, a sophomore majoring in engineering. A nice thing about Case is once student is in, student can select any major that he or she wants, i.e., there is no additional competition for space in an engineering major. I can’t speak to the math program, but the engineering program is solid. At the same time, the University has a good proportion of female students (which in my view makes for a better environment). Case is Division III, but that’s all I know because sadly my son has little interest in sports. Overall, Case has been challenging academically but satisfyingly so.