Alex -
There are two steps involved in dealing with dust spots. The first is processing discipline - mainly, using PhotoFlo or a similar detergent-like chemical to reduce the surface tension of the final rinse water so that it will dry without leaving drying marks, and making sure that dust can't get on your negs while they are drying. The latter can be a challenge in a makeshift home darkroom. I have a drying cabinet in my darkroom that does a great job of protecting wet negs from dust; you may find that your university darkroom will have something like that also.
The second step is to accept the reality that step 1 is never 100% successful, and learn to spot prints. This is a tedious activity, but careful spotting can make those ugly spots completely disappear. And I find that spotting is a great way to really immerse myself in a print, and can be quite relaxing.
I still have a supply of Spotone, but there are other manufacturers who offer products that do the same thing now that Spotone is no longer being made - Marshall's is probably the easiest to find. I also use the traditional brush approach. Others prefer spotting pens - whatever floats your boat.
The objective in spotting is to reduce local contrast to the point where the white spot is no longer distracting. It is helpful, though not mandatory, that the color of the spotting dye match the color of your paper. Spotone and Marshall's both come in sets of six colors, and by carefully mixing them you can match any paper/developer/toner combination made. Always mix drops of dyes into a mixing container, and never add anything (dye or water) to the original dye containers. Marshall's comes with dropper caps to simplify this step.
I mix dyes into a white plastic palate container (actually, an old makeup container with all the makeup removed), and then let them dry completely. Then, I moisten a brush with distilled with that has a drop or two of PhotoFlo added to reduce surface tension, and pick up a bit of the dried dye. I smear that around on the palate, adding a bit of water if necessary to reduce the intensity of the dye. Finally, when I get to the right shade of gray, I then apply it to the print by stippling with the brush. Never brush on the dye. Instead, apply it by stippling to lay a pattern of tiny dots of dye.
Having a magnifier and a bright light helps. I use reading glasses as magnifiers, and normally spot under a bright desk lamp. Angling the lamp so that you can see a distinct shadow of the brush on the print helps - watch both the tip of the brush and its shadow on the print. When they touch, the tip of the brush is on the print. So by carefully bringing the tip and its shadow together at the spot, you get the dye where you want it to be.
Take your time in spotting a print. It may take 30 minutes to complete spot an 8x10" print. In fact, after you are practiced, the problem is that you tend to get carried away and try to spot out the spaces between grains of silver in the print!