I think the issue is, if it's like the schools I'm familiar with, you took the 1xxx, 2xxx and maybe 3xxx stats/calculus/linear algebra courses. You didn't take their 3xxx/4xxx follow-ups that the math and CS (different courses, same idea) took. At Georgia Tech, CMPEs took 2130 Languages and Translation. The course introduced compilers, it introduced language hierarchies (regular, context-free, etc.), but the 3xxx or 4xxx CS theory and compilers courses were where the material was really taught. And CMPEs rarely took those courses. If they did they were seeking a second major (no minor in CS was offered at the time, IIRC).
The same is true in math. EE/CMPE, probably every E, took through differential equations, maybe another math course or two, but few took number theory, numerical analysis, real analysis, the 4xxx stats or 4xxx linear algebra courses.
The depth at the undergraduate level between what an engineering major gets from the other departments (math, physics, cs) is nowhere near the depth that those majoring in those programs will see (depending on school, I'll grant some schools may not have strong science or math programs beyond the core engineering majors need).
The same is true in math. EE/CMPE, probably every E, took through differential equations, maybe another math course or two, but few took number theory, numerical analysis, real analysis, the 4xxx stats or 4xxx linear algebra courses.
The depth at the undergraduate level between what an engineering major gets from the other departments (math, physics, cs) is nowhere near the depth that those majoring in those programs will see (depending on school, I'll grant some schools may not have strong science or math programs beyond the core engineering majors need).