I'm an international student so please be kind for my poor English.
In my point set topology class I can understand the lecture notes and can explain proofs in detail if required.
However, I don't really do well on quizzes and that frustrates me a little.
I know point set topology is important and, whether or not I get good grade in the course, I need a solid understanding of it.
I want to be successful in my mathematical career so I ask for your advice on how my attitude should be towards my circumstances right now, and on which topics in point set topology one needs to know as a math researcher. For instance, in some book the author recommended Royden's Real Analysis book and said that topology chapter in the book is in his subjective opinion, is basically all point set topology most mathematicians need.