This caught my eye and I can relate as I went to Hofstra before YU and there are many bad courses there as well.
I WOULD NOT try to argue with him or convince him of anything. You will not convince him of anything and it will only make you look bad. It’s like trying to argue with a mod here, if they disagree with too much you they will simply block you from typing and allow the people they agree with to continue typing. Because he controls the class, it would be foolish of you to play by his rules. If the fight is rigged, why give in to that? Furthermore, it very well may be assur to try to convince the class under such circumstances.
More importantly, think about you. It might be assur to remain in the class and continue to hear the words of an apikores. You should try to take more objective courses like math and science. I know it might be inconvenient, but is it worth your neshama or being over a lav for?