by Rick Jerz.
Wow, I would think that your computer will have plenty of power for your 44 courses and 370 students. However, some of this will depend upon how it is used by the teachers, and whether there is a bunch of concurrent usage. I don't have a feel for this because I only run around 5 courses each semester, around 80 students.
Yep, I know how these things go when we have to begin teaching. From above, I think I recall that you have a running version of Moodle, you just wanted to upgrade to 2.4. If you are at 2.2, you are already getting many of the benefits (but of course, not all) of running Moodle 2.
Good luck.