Students enrol, professors... what?

Solution 1:

There is no term that could fill in the blank in 'Professor P _____ course C' and would be analogous to 'Student S enrolled in course C', because the process that leads to P's teaching C is not at all analogous to enrolment. A student simply chooses a course, completes the necessary paperwork (or clicks on something on the university's website) and is then enrolled (assuming there are no special obstacles such as failure to pay the fees or lacking the prerequisites). There is nothing like this that a professor does.

The process that determines who teaches what depends on the nature and customs of the institution, the traditions of the academic field, the seniority of the professor, on whether the course is introductory or advanced, on whether the professor is regularly employed by the institution, visiting from another one, or hired only for the specific course, and so forth. (Incidentally, I am assuming that the OP is using the word professor casually, as is usual among the students on North America. That is, I am assuming that the question is about everybody who teaches in postsecondary education, not only those who hold the title of a professor.) In some cases, the decision is made at a departmental meeting, in others it is a matter of negotiation between the professor and the head of the department. Sometimes there is a great deal of back-and-forth discussion about the matter, sometimes very little. The preferences of a highly distinguished professor typically carry great weight in the process; the preferences of a junior one much less.

When professors talk among themselves, they may use the terms that reflect the specifics of the process in the particular case, such as 'P has chosen to teach C', 'P has been asked to teach C' or even 'P has taken C'. Such terms, however, cannot be used by the outsiders, who typically don't know whether, for example, P had much choice in the matter. One term that does not imply anything about the specifics of the process, and is thus probably the best for an outsider to use is 'Professor P is scheduled to teach course C.