Looking for schools good in Comp Sci and Music

I noticed however that in this list for “songwriting and composition”- which is electives not core courses for a major- there are only “fundamentals of” and “basic” theory, and only the two classes for “composition for non-majors.” Also, “songwriting” is listed first so not sure what kind of composition this might end up being.

I wonder if a non-major can take lessons with the best teachers, participate in composition seminars for majors, take harmony and counterpoint, etc. etc. and have quality performances of works. Or whether any of the more rigorous theory and composition sequence would work for a transfer. Electives can be taken anytime, but the core courses for the major would be sequential and jumping in midway might be hard.

Here is the info on the composition program for a BM:
https://music.usc.edu/departments/classical-performance-studies/comp/bachelor-of-music-in-composition/