I'm an undergraduate studying math and I'm taking a graduate math class for the first time this semester. I've taken the undergraduate prerequisites, but it's still very challenging, which I was expecting.
I'm starting to get overwhelmed by the content and the pace of the course. The professor is not only very famous in the field but also tends to brush off most things as 'basic' during lectures and doesn't seem to like to answer students' questions in detail. I find it intimidating to approach the professor or go to office hours because I feel like I don't even know the basics. I'm the only undergraduate in the class, but it seems like other graduate students are also finding the content quite intense.
I also don't have anyone to work with, and I find it very difficult to just randomly approach people in the class, not only because I'm introverted but mostly because I feel very embarrassed of my lack of understanding. I'm really interested in the subject and I want to give it my best. It's hard to tackle the problem set even after consulting multiple books, and I feel more discouraged and unsure of myself. I'd appreciate some advice from people with more experience.