Is Applying as an Applied Math Major As Rigorous as Applying as an Engineering Major?

It tends to be for those schools that have separate admissions for different schools. It may occur to you that people could say they were majoring in the less competitive major and then switch when they get there. Schools have that covered. It is a bad plan because you will probably be stuck with the original major. Schools make it very difficult to switch schools when it involves a less competitive to a more competitive school/major.