To be honest I haven't seen to many Michelangelo Antonioni films, but the two I have seen made me very interested to see more. There's this triology which is considered his "important work" that begins with The Fling, continues with The Night, and ends with The Eclipse. I haven't seen any of them, but mostly because I haven't had the chance. I know the plot for The Fling sounds really interesting, and I've always heard about this amazing beach scene were one of the main characters goes missing, which, so I hear, is really suspenseful. The others I haven't heard to much about.
The two I have seen are Blow Up, which is really interesting. It seemed like a critique on this whole London hipster culture going on at the time. It's the famous film one everyone knows about from him. It's definitely worth renting, and has a really great scenes in film where the main character is looking at his photos trying to determine if he had captured a murder with his camera or not. It's just done by cutting through photos but it was insanely suspenseful (for me, at least), because you as the audience are observing and trying to figure out whats in the photos along with the character. It's pretty cool.
The other one I saw was this film called The Passenger, which I think I liked more. It's about a journalist who's hotel neighbor suddenly dies, and the journalist decides to take his place and attend his meetings and appointments. It's a really good mystery film, Jack Nicholson is the main character, it has this great single shot ending which I'm pretty sure was influential to at least a few more modern directors. It's worth poking around for also.
From I can tell, his movies have this distinctive style. Lots of long shots, very distanced, not a lot of music, but great use of sound. Both Blow Up and The Passenger were worthwhile experiences. As for whether you should take the class, I personally find classes like that a cinch because I'm into movies. You'll probably get stuck doing a style analysis essay or something from the sounds of it, so I don't know. It's really up to how much you're into art films, because neither Blow Up or The Passanger are really mainstream affair.