How can I get him to notice me?

well you do kinda make sense about sitting next to him for the rest of the year that would suck. so here is what you do. you show him that you don't care about him and that you can have fun with out him. in that class if you get to talk and have a good time with your girlfriends(but not other guys). this shows confidence and not cockiness. you will notice him looking at you more. when that happens ask him and he might say yes and he might not but I bet he says yes. if he says no then say that's cool, and ask if he has any friends that might want to go. this shows that you arnt needing him and you just want to have fun. that should set you up for later if you want to ask him on a date or something. but I bet he says yes. oh don't wait too long now.

Talk to him find out how he feels ,but you still will probably have to ask him (no guts no glory) or homecoming date.

you got some good advice down there.
well do you talk to him? if so get ur friend to bring up homecomin then all three of yall can talk about it.

make small talk. get friendly with him that way he feels comfortable around you and then if he's interested he'll ask you! don't be nervous, confidence is the sexist!