Short answer, "it depends"-- on how handy you are/become, and what's actually wrong with it.
I assume you own the place and the fan, so the "Maintenance" number rings your own phone. ;) I also assume it's a pull-chain fan, not a fancypants remote-control-switch job.
If you're lucky, could be something as simple as a dirty switch, and a little contact cleaner might take care of it. Or maybe the light kit (where the lights plug into) has come unplugged inside the fan. If not, it could be something as serious as some idiot putting 100W bulbs into a 40W light kit and crisping the insulation off the wires. It's worth finding out which of these is the case. :)
First, though, I strongly encourage you to acquire a Homeowner Antidefibrillation Device (e.g.
http://www.amazon.com/Fluke-1AC-A1-II-VoltAlert-Non-Contact-Voltage/dp/B000EJ332O). Johnny's First Law of Electronics is: First, touch every wire and surface with the HAD.
Turn off the breaker at the mains, HAD check!, unscrew the casing and pull down some or all of the fan, so you can get in there and check out the switch and wiring. (HAD check!). I've never replaced a pull switch, but don't imagine it would be rocket science.
If it isn't a simple fix and you end up running up and down the stairs re/setting the breaker, bear in mind Johnny's Second Law of Electronics: HAD check *every time* you return to the wiring. I know this sounds like fear-filled complainypants but trust me when I tell you, it's better to be surprised by BEEP BEEP BEEP BEEP than by the muscles in your forearm twitching at 60hz.
Worst case, you take down the fan, pick up a $75 replacement at the Home Despot or equivalent and slap it up there while you tinker with it where it's easy to work on. If you can't fix it, problem solved. If you can, you now have a Bonus (or backup?) fan.
