My impression is that Engineering majors take as many Physics and Math classes, but they tend to be more on the practical side. For instance, a math major can

My impression is that Engineering majors take as many Physics and Math classes, but they tend to be more on the practical side. For instance, a math major can take a bunch of set theory, number theory and topology that an engineer wouldn't see. The math major could also take a curriculum that is indeed more similar to what the engineer takes.