Of course, many other minors or cognates are possible in 128 credit hours, from music to philosophy, and can be worked out with a departmental advisor. 

For example, engineering and physics has long been recognized to be a valuable combination, and is well respected throughout the scientific and engineering communities. Combining both fields guarantees a thorough grounding in the fundamental laws that underlie practical engineering principles. 

There are a couple of ways to proceed. In both, not all the engineering courses have to be taken from a single engineering discipline (e.g., electrical, mechanical). The engineering courses can be selected based upon the student's interest, in consulation with their Physics Department advisor and an advisor in the College of Engineering.

A student could minor in math, and then have 24 credit hours available for courses in engineering. Since the University's minor or cognate requiement is already met, there is significant freedom in choosing the engineering courses. 

Since 3 credit hours of the GERs can be in engineering, there can be 24 available credit hours there.

In the second option, the student declares an engineering cognate instead of a minor, in which case up to 30 credit hours is available for engineering courses.

A cognate should have a unifying theme, and can be developed with Physics and Engineering advisors.

As above, since 3 credit hours of GERs can be in engineering, these can be added to the engineering numbers in the table.