First of all, I'm sorry if this isn't the kind of question that should be made in MathOverflow. I read the FAQ and I didn't consider this (that) inappropriate. I couldn't resist! People here are experts. All the experience here could help me.
I'm starting my undergraduate studies in september. I was studying computer science but I'm switching majors. Now I'm going to study mathematics. I don't want to fail any class, and some recommendation from you would be useful.
So I'd like to ask two questions:
- What would have been good for you to know before you started studying mathematics that you didn't know?
- Is there something that you did that helped you learn the most?
Any kind of advice is appreciated. Thank you.
Best Answer
You need to know that you know nothing. Seriously though, that should be the guiding thought when learning mathematics. There is always some subtlety that can be missed or a concept that can be understood the wrong way (and is by many people) when you are too sure of your knowledge.