A couple of comments based on the OPās list and some of the follow on posts:
1)Columbia does not offer a BM degree (performance degree), but they do have a music performance program, so if you wanted to go there for engineering, you could study that, and take lessons, play in the orchestra and so forth, and I believe they may pay for private lessons (which in NYC, would be relatively easy to find a high level teacher).
2)The program between Columbia and Juilliard is not a dual degree program. The first level of that is the exchange program, where Columbia students can take lessons at Juilliard, and I believe can do chamber (not not orchestra there)ā¦it is relatively tough to get into.
Then there is the joint program, which normally kids apply to when in the exchange program first. This program if they get in letās them finish their studies at Columbia, then they go to Juilliard for an MM (masters, performance). Lot of kids finish Columbia in three years, then go for their masters at Juilliard. With engineering probably would take 4 years to finish the UG, but still is possible. While still at Columbia, you study with a teacher at Juilliard, same as being in the exchange program.
I believe the NEC/Harvard and NEC/Tufts Exchange works the same way, you do UG at the other school, then get your masters at NEC.
I can tell you these are not easy programs to get into, they only take a small handful of students (true of Columbia/Juilliard, and the NEC programs). I know people who got into the schools separately, but didnāt get into the joint programs, it tells you how hard it can be. (Not saying donāt try for it, just warning you might not be a likely path).
And of course, you can always get your UG degree in Engineering, take lessons, do chamber (both at Columbia, plus there is the New York Youth Symphony chamber program), then apply for a masterās degree at the school of your choice. You also donāt necessarily have to get a performance degree, you could get a dual major BA/BS in music and engineering (if the school offers a BA on the piano).
One warning, as others have said, music performance degrees (BM) are pretty intense, and engineering is really, really rough (my brother has a bachelorās and masterās from Columbia engineering), so it could be rough sledding to do a dual degree program at someplace like U Mich that offers it; not saying it isnāt possible, just warning you that despite popular perceptions that BM degrees are ālightā, they arenāt, the theory and history and ear training classes can be intense, plus with ensembles and practicing, it takes a lot of time, you arenāt going to get by as more than a few misguided parents have asked me (āMusic couldnāt be that hard? What, they have to practice an hour a day? Not a big loadā¦ā) with an hour a day practicing, it is pretty intense.