[defrost]

I swapped out from being an Engineering major (consistently in the top 5 scoring Engineering students out of a first year intake of 300) to being a math major for similar reasons - Engineering has a lot of rote learning grind exams, not so much exploration of deep fundementals.

The Math dept has numerours courses loosely covering similar material, Math 100 - first year math for math nerds, Math 110 - first math for engineering students, Math 120 - math for business majors, etc.

Math for math majors ( the 100 stream ) had 20 students in all (IIRC) most of whom now hold academic positions, Math 110 had the 300 engineering students, other streams had cross over students from business, medicine, law, et al.

Future mathematicians (and theoritical physicists, etc) are indeed the smallest group the Math Dept. catered for.