Mathematics · Columbia University
The first 6 chapters of Rudin's analysis pretty closely: Properties of real numbers, basic topology and metric spaces, sequences and series, continuity, differentiation, integration.
Proof-writing and conceptualizing topological space
Learned the first portion of Rudin's Intro Analysis material. Topology, series and sequences, continuity, differentiation, integration theorems.
It is an interesting and hard math topic that is harder to take through online classes. It helps having the lectures be recorded so that I can review certain topics, but it is also harder to ask questions online.
Basic topology, sequence and series, limit, continuity, differentiability, integral, etc.
What is continuous function, field, integration, rieman sum, and etc.
I learnt a lot of real analysis. Nothing intensely profound, what it says on the tin.
How to read, write, and (sometimes) understand rigorous proofs. You go through the first six chapters of Baby Rudin, meaning you get some basic info on topology, sequences, continuity, etc. Good if you want to get PhD economics or be math major. Or if you enjoy pain
More practice with rigorous stuff. Developed pretty essential knowledge of concepts I’ve worked with for years.
Well Real analysis is smth you cannot escape if you are major in Math. You had to take it anyway