Growing up in Florida, I used to think that homes without air conditioning were a myth. But I grew up and traveled and realized that there are plenty of places in the 'States (and around the world) where A/C isn't necessary—that is, until those few sweltering weeks in July.
But being the smart frugal apartment dweller that you are, you know it's not economical to splurge hundreds of dollars on an expensive standing air conditioner to keep yourself comfortable for just a few weeks.
Instead, try one of these room-cooling home hacks:

A Cooler, Cold Water and Copper Tubing
Here's a video that shows you how to set up this dorm-legal A/C hack. Or check out this post with plenty of how-topictures.

A Fan Blowing Into a Cooler
Try this one, from Instructables user hleon Fill the cooler with ice (or ice packs) and set up the fan to blow directly into it (without falling in, of course. You're trying to cool down the bedroom, not electrocute yourself). Cut out a few vent holes in your direction and you're good to go. (It should be noted that you don't need a cooler for this to work. It's the best at keeping melted ice and condensation off your wood floors, but you don't need the insulation for this to cool you down, as evidenced by our last "hack"...)

A Bowl of Ice and a Fan
All you need to cool a small space down is a source for cold air and something to blow it around. Simplify both of these ideas and just drop a bowl of ice in front of your fan, just like our own Campbell showed you in this post.
They all work somewhat the same way—by putting ice or ice water right in front of a blowing fan—but you can figure out which version works best for you.
One thing to note about all of them, though: They only do a good job of cooling your room if that room is far away from the source of the ice. A freezer actually warms the air as it's freezing water, so your homemade A/C won't do you any good in the same room.
But if you need to cool a small, localized area—like your bedroom as you fall asleep—each of these projects is a great way to get it done without spending big bucks.
(Top image: Flickr member CarbonNYC licensed for use under Creative Commons)

Shaw's Original Fir...
I have actually built almost every type of homemade air conditioner mention here when i was in college without AC. I also tried a "Swamp Cooler" they use cool water over a cloth or veins that the air blows across to cool it slightly. Swamp coolers are used alot at large outdoor venues. I also built on with the copper pipes on the fan complete a pump and a mini fridge in the hall. That one definitely worked the best.
But for the money if you are allowed use get a $100 window unit or buy a used one for less. There are plenty of articles showing how properly used/maintained/insulated window units used only where they're needed are much more efficient/environmentally friendly than central AC.
I've tried the copper tube version as well. It works alright but it's not even close to real AC. I second the window unit suggestion. It's much better and less hassle.
more important than this hack:
where can I get that t-shirt???
After ours broke the second time in a year, we went to costco and bought a backup airconditioner. "Console" type, but a worthwhile choice. Window units are good, but less portable.
try threadless for the t shirt...
@aperocot
It's from www.threadless.com
Thanks!
I'll stick with my central air here in Southside Virginia.
these are more like evap or swamp coolers...