Definitions for "Matriculate"
To enroll; to enter in a register;
to enter or admit to membership in a body or society, particularly in a college or university, by enrolling the name in a register.
To go though the process of admission to membership, as by examination and enrollment, in a society or college.
To "matriculate" to SDSU is to apply to SDSU, be accepted, and start coursework at SDSU.
To be formally accepted as a degree or certificate candidate in a specific curriculum or major. i.e. "I think I'll be a Communications major" would translate more formally as "I plan to matriculate in the Communications curriculum".