No, these are treated like names of people or places: capitalize following headline capitalization rules but don't italicize. E.g. If you meet the prerequisite, you can register for General Psychology.
However, many course names are also generic enough that it would also be sensible to say, e.g., If you meet the prerequisite, you can register for the general psychology class, PSYC 2301.
You might consulting the writing coaches on a case-by-case basis for more specific guidance.
