>>11353439Top of the page indicates course and lecture number, and whether its a continuation or a new lecture.
I use lined paper.
I will occasionally include a blank line in the middle of my notes in case there is a natural break in the material or if things are getting too cramped. Otherwise, my notes are generally contiguous and don't leave much open space.
The right hand of the page is generally a place for diagrams if needed. If not, notes go all the way from left to right.
I always put a "Def:" "Lem:" "Prop:" "Thm:" and "Prf:" markers on the left margin. They are underlined. Every definition includes the word itself underlined. If a theorem has a name, the name goes in parenthesis after the Thm: marker but in the center part of the page (still to the left but not the margin).
I am liable to switch between pen and pencil for notes. I try to stick with pencil. Pen does last longer though.
>>11353472False. Anyone who doesn't take mathematics notes is guaranteed a complete and utter failure.
>but I get As sometimes!!!!If you aren't getting perfect grades in undergraduate coursework, you've got bigger problems than note-taking. Difference between you and I is, I understand perfectly how to prove most major theorems I've learned because I actually took the time and energy to internalize them by writing them out with a pencil. If you just stare at something, you'll never learn it.
>But I use it in problems!!!!You can prove as many silly little toy problems with Sard's theorem as you like. You still won't have an intuition for why the proof works.
>I just pick up the intuition on my own later, lecture moves too quickly for me to build intuition and continue notetaking new material simultaneously!Slow. Never going to make it if building mathematical intuition through tactile interaction with a concept isn't natural to you at this point. If you need to puzzle through problems to understand how and why they work, then you're not going to make it.