silenthoughtss

I had an exam yesterday, one more to go. it was the written part, so 12+ hours of solving problems, exhausting just like before. I completed all of them, but of course I am not sure if my solutions are correct, I will find out on monday. I'm proud of the progress I've made

right now I'm studying for the second part, so the theory-oriented one, I can barely focus because I've already learned those things and now I have to relearn them again

I'm trying to prove all the theorems on my own. partly to see how much I remember, partly to see how much I'm willing to improvize. as they say, if you're using too much memory then you're doing something wrong so I'm hoping to be able to come up with the proofs without memorizing anything new

my technique for studying the theory for the exam is to first test myself on how much I remember by trying to write everything down and note where I'm unsure or don't remember at all. then I read the textbooks starting from the worst topics up to the better ones. when I encounter a long complicated proof I am trying to break it down into steps and give each step a "title" or a short description

for instance, the Baer criterion featured in the photo has the following steps:

only do "extenstions on ideals to R→M ⇒ M injective"

define the poset of extenstions of A → M, A ⊆ B and a contrario suppose there is a maximal element ≠B

use the assumption to define an ideal and a submodule that contradicts the maximality of the extension

it is much easier to fill out the details than to remember the whole thing. this is probably the biggest skill I acquired this semester, next to downloading lecture notes pdfs of random professors I find online lmao

a friend suggested that I could make a post about tips for reading math textbooks and papers. as for papers, I don't have enough experience to give any tips, but I can share how I approach reading the books

august 30, 2021

Hello guys! This semester has been pretty amazing for me so far! I’ve stuck to my goals and I’ve been working on my homework ahead of time and I’m not backlogged at all! It feels so amazing ^-^. I’ve also been using my Notion page well, and it’s been immensely helpful in helping me organize my homework and my life in general :’). I’ve also been steadily chipping away at college apps, and today I’m gonna force myself to actually start on my personal essay and not just plan it endlessly ;-;. And last, but not least, I’ve finally planned out the plot for the fic I’m writing in a fest I signed up for!

30th August - What did you learn over the summer? (note: this doesn’t have to be academic-related)

august 25, 2021

Hey guys! I’m so sorry I haven’t posted anything lately but school’s been quite busy and I’m trying to keep up with my school work. Yesterday, I had my first meeting with the mentor I’m going to perform research with, along with the other members of the lab. I’m really excited for it! 

24th August - What three things would you take to your desert island?

thanks for tagging me @evelynsproductivity!!! 

rules: answer the questions and tag some people you want to get to know better/catch up with.

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three ships: 

1. Victuuri from Yuri!!! On Ice

2. RobStar from Teen Titans

3. Saiki K and Terusashi (ironically) from the Disastrous Life of Saiki K

last song: Hayloft by Mother Mother

last movie: Uh, I actually can’t remember ヽ(*ﾟｰﾟ*)ﾉ

currently watching: Uh, Teen Titans (the original) and The Disastrous Life of Saiki K (still my obsession lmao)

currently reading: just finished Girl in the Blue Coat by Monica Hesse & about to start Armada by Ernest Cline

currently craving: some really good watermelon

august 18, 2021

Hello! I’m in a pretty good mood today bc I’ve started getting homework done and I’m determined to stay on top of my work this year! I don’t want to make the same mistakes I made in my junior year and I have college apps, so I’m gonna work extra hard this year! Best of all, I also got the Director of IT position for an organization I applied for! :)))

18th August - What is your favourite summer drink?