I am starting to design my personal website and I would like to devote part of the site to sharing knowledge in the fields of Mathematics and Computer Science.
My main concern is determining what is ethical to share and what isn't.
I don't plan on publishing solutions to homework exercises or questions from my previous exams, as this seems obvious to me.
What I would like to share is the content of the individual subjects such as:
- Examples (Those of which I create myself)
- My personal interpretation of the subject matter
My concern is in regards to sharing definitions and theorems is ensuring I am not plagiarizing works from textbooks and professor's lectures.
Since there is only but so many ways to rephrase a definition before it loses its meaning, how much should I change the representation of a definition (or Theorem) so I am not plagiarizing how it appears in particular text?
My final concern is in regard to reference other sources of knowledge. Throughout my college experience, I am constantly looking for multiple resources to supplement my learning. For example, YouTube video series X does a really good job with an introduction to Linear Algebra. Would it be ethical to reference or add links on my personal website to YouTube video series X?