Date: 01/02/2026
What subject(s) I've studied: Analysis I
Favourite fact I've learned: It's possible to numerically approximate $\sqrt e$ using Taylor's series!
Favourite equation: $ f'(c)[g(b)-g(a)]=g'(c)[f(b)-f(a)] $ (Cauchy's theorem)
Something I need to revise: List of asymptotic equivalences
Something I've not understood: Proof of the fundamental theorem of calculus
A mistake to avoid making: Focusing too much on theory, leaving out excercises
Favourite piece of media: Yanran's YouTube channel, her study vlogs are the best
Note to self: Stop procrastinating pls