1.5 KiB
1.5 KiB
Study Log
Format: Date (title + optional link) → Notes → Questions Sorted newest first.
Example
2026-03-18
- Math Major Guide: Nonstandard Advice — https://www.youtube.com/watch?v=EE7KpcReYw4
Notes:
- Math isn't about speed or memorization — it's about understanding structure
- The "right" way to study math is different from other subjects
Questions:
- How do I know when I've truly understood a concept vs just memorized it?
Log (newest first)
2026-03-19
- Khan Academy: Sets & Their Representations (110 minutes) — https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:sets-ncert-new/x0419e5b3b578592a:sets-and-their-representations/v/what-are-sets
Notes:
- Roster form: lists all elements explicitly, e.g. {1, 2, 3, ...}
- Set-builder form: describes elements by a rule, e.g. {x: x is an odd number less than 10}
- Sets can be empty, finite, or infinite
Questions:
- Still unclear on terminology: positive integer, real number, integral number, etc. — these are number classification names, not strictly a set concept. Looking for a reference to solidify these.
Comment:
- Notes are solid. The number classification question is actually about "number systems" — you'll encounter these more in the lecture notes when they talk about fields and groups. For now, just know that N = natural numbers, Z = integers, R = real numbers. Shortcut: look up "number sets notation" on Khan Academy or Wikipedia. Don't spend too long here — it'll click once you see them used in context.