Engineering really doesn't involve that many mandatory math courses, or it didn't when I went to college. Three semesters of calculus, linear algebra and differential equations - that was all I took. If you already took these courses at a college, you might not need to retake.
I’m not an engineer, but I think it’s always possible and appropriate to go beyond any curriculum to aim to be a world class leader. For my son’s high school physics practical assignment, the class was told to ignore friction in their experiments. DS first completed the assignment as prescribed and then added a much longer section where he examined all the variables he could consider, including surface friction and air friction, applying very complicated calculus to show how all the other variables accounted for the gap between the expected and measured outcomes. His physics teacher commented honestly in his feedback that he lacked the ability to follow DS’s calculus calculations, but he was impressed with how well DS accounted for the gap between the theoretical and experimental data. In twenty years of teaching physics, no other student of his has ever attempted to go beyond the curriculum this way.
