First off, nice welcome to Vaasa in advance. I myself study International business here.
About the skiing there's one mountain right outside of Vaasa (8km) accessible by bus, but it's opening depends on the snowfall, this winter it didn't open until middle of December I think. This is no big mountain at all
Here's a link to all the ski resorts in Finland, as you see from the link there's a bunch of mountains quite near Vaasa about 1-2 hour drive which should open maybe late october early november depending on the snowfall aswell. Some examples Simpsiö, Joupiska, Parra, Sotkanrinteet. I have only been to Simpsiö myself and that was skiingwise not a challange exactly but manageable.
oh and the link ofcourse http://ski.fi/hiihtokeskukset
I dont know what else to write right now, but if you have any further questions feel free to PM me or ask in this thread.
If not you definetly should hit me up when you're coming to Vaasa! :)