While I have always regarded myself as someone who loves the ideas and mechanics of mathematics, I was never really super interested in the process of doing it by hand. I have always been a visual learner, and those online explainers have provided a great foundation for my fundamental understanding of a lot of key concepts.
But recently( and I’m not sure why ), I have taken an enjoyment in just learning and doing math for its own sake. More so, than even just doing things in the computer science world. Not just understanding the concepts of Calculus and Linear Algebra, but becoming obsessed with obtaining and cataloguing as much knowledge as I can on the subject.
Thankfully, I have become a rigorous notetaker and writer, so I have a way to channel this sudden passion into something useful ( like I did with engineering and computer science ). But I want to change some of my style from simply taking notes on my own personal thoughts and ideals, to actually taking math notes on my own as if it were a class( something like my Calculus 3 notes ). Taking standard math notes again is going to be change, as something I have been doing more of is taking transcript notes. These are great for absorbing content from a YouTube video, but they dont do much to cement my own understanding of the concepts uniquely.
I plan to test this more with some Differential Equations notes. Namely, while I will be using 3Blue1Brown’s videos on the subject as a starting point for my understanding, they won’t be transcript notes. I will instead just watch the videos over and over until I have my own solid understanding, and then base my notes off of that. After the fundamentals are there, I will incorporate other content/ideas less relevant to the background of Differential Equations. Think specific methods for computation/solutions ( Euler’s method, Laplace Transform, etc ).
Another point of change will be that of diagrams/illustrations. While I understand the importance of handwriting math, I am simply not good at it, and need to compensate for that with tools. I will continue to use Desmos for pure function graphs, but I want to incorporate Excalidraw into the more abstract illustrations of concepts. I won’t be using the obsidian plugin for this, however, and will instead