31/05/2021

23/05/2021

Hello 👋

I hope all was well for you guys 🤗

So today I did the following stuff

Group Theory problems

Cooked dinner for my parents

Duolingo

Continued reading 'Wuthering Heights'

Exercised

I'm looking forward to the coming week.There is nothing special but I don't know I am just feeling good about it 🤭

My favourite quote this week

It's delightful when your imaginations come true,isn't it?

-L M Montgomery (Anne of Green Gables)

25 II 2023

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

a big news in my life is that I got a job. I will be a programmer and I start in march. at first I am going to use mostly python, but in the long run they will have me learn java. I'm excited and terrified at the same time, this semester is gonna kill me

🌿27/06/2021

I was stressing out today morning about some maths stuff so decided to give myself a break and draw ^^

Idk where life is taking me but hopefully when I look back it makes sense.

🐻5th July -  Do you have any special plans or activities for this summer?🐻

I plan on learning some cooking.The other day I experimented with some paneer recipes I found on Instagram and I have been making soya noodles a lot lately as well.They have become my comfort food 🐿I have attached an image I took of my noodles this afternoon.

🐰6th July - What do you usually do during the summer? Is anything different this year?🐰

For me summer means a lot of cycling.My dad and me wake up early in the morning and just ride our bikes till we are tired.There is a nice sun rise spot where we can have tea and enjoy the sunrise..This time we couldn't do it a lot because of covid but we did try to drink tea while enjoying the sunrise on our terrace but oh boy I do miss cycling.

🐻5th July -  Do you have any special plans or activities for this summer?🐻

I plan on learning some cooking.The other day I experimented with some paneer recipes I found on Instagram and I have been making soya noodles a lot lately as well.They have become my comfort food 🐿I have attached an image I took of my noodles this afternoon.

🐰6th July - What do you usually do during the summer? Is anything different this year?🐰

For me summer means a lot of cycling.My dad and me wake up early in the morning and just ride our bikes till we are tired.There is a nice sun rise spot where we can have tea and enjoy the sunrise..This time we couldn't do it a lot because of covid but we did try to drink tea while enjoying the sunrise on our terrace but oh boy I do miss cycling.

[9.20 pm ] I didn't do much vector calculus today.I did read a little about number theory though (not related to academics just a fun book).I also finished a book called aa Noughts and Crosses.I also will start reading Hamlet today.

***

218 days left to go...

Will I make it?

The Mayuriit Project.Stay tuned on a tumble blog near you.

What does FTC say?

It says that if a person takes the derivative of a function and then integrates it over a region on the number line say [a, b] then this is the same as evaluating the function on its endpoints.

What does the Green's Theorem say?

Green's Theorem is the fundamental theorem of calculus in 2 dimensions.Instead of taking the derivative of a single variable function we take the curl of a 2 variable function.Instead of integrating this over a number line we integrate it on the xy plane.Instead of evaluating the function at the two endpoints a and b and taking the difference, we take the line integral of the function and integrate it around the curve in a counterclockwise direction.

What does the stokes' theorem say?

Stokes' theorem is the fundamental theorem of calculus in 3 dimensions. Instead of taking the derivative of a single variable function, we take the three-dimensional curl. Instead of integrating this over a number line, we integrate it on the surface (To evaluate the surface integral one has to dot the vector field with unit normal vectors). Instead of evaluating the function at the two endpoints a and b and taking the difference, we take the line integral of the function and integrate it around the curve on a surface in a counterclockwise direction just like in Green's Theorem.

Sunday, 11th July 2021

Further Maths - Mechanics Mixed Exercise 2

Doing some mechanics questions to practise because it does my head in… I got this book from my parents earlier, as it’s an old present they found - looks super interesting! Today’s a funny day bc everyone’s waiting for the football tonight haha

🎵 Boulevard of Broken Dreams - Green Day

Answers to the summer studying challenge under the cut!

Keep reading

Day 1

Assignment: Classwork of Vector Calculus

[11.32 am]I have ODE lab viva soon and I am terrified but hopefully, it will be over soon. I have given myself the task of completing 20 problems of vector calculus.

***

[3.20 pm] I did start but there has been a dip in my motivation.So I guess I will just take a nice bath, cook some snacks for myself and my parents and then sit and study again.

***

[9.45 pm] I am done for the day.Today I did some problems on vector calculus.I don't know why but I felt tired in the evening and just could not sit and solve stuff so I did not force myself.There is some kind of peace in calculating the angle between two very complex surfaces don't you think? Only if I had more energy to go through it.But now I remember also loving the concept of directional derivative.It is not done yet so gotta continue tomorrow.

222 days left to go..