Date: 07/02/2026
What subject(s) I've studied: Analysis I, Geometry I
Favourite fact I've learned: It's incorrect to solve limits to $-\infty$ of the $[\infty - \infty ]$ form by rationalising, it only works for $+\infty $ !
Favourite equation: $ \text{dim } U + \text{dim } V = \text{dim }(U+V) - \text{dim } (U\cap V)$ (Grassmann's formula)
Something I need to revise: Improper integrals
Something I've not understood: Methods for solving non homogeneus ODEs
A mistake to avoid making: When calculating Taylor polynomials, don't stop too soon or you will miss terms with a relevant power!
Favourite piece of media: The Digital Meadow by Sabine Carys on Substack
Note to self: Go to bed earlier