Silenthoughtss - Silenthoughtss

tagging game

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

tagging @studyviolette, @silenthoughtss @brightstudyblr, @finchleaf and anyone else who sees this and wants to do it!

[9.33 am] I already finished studying 20 problems of vector calculus.I did line integrals and piecewise functions.I am not that confident in calculating the integrals of Piece wise functions though so gotta work on that.

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[1.11] Yayy just finished a chapter in group theory.I was explaining it aloud and my mom came in and said "You are gonna hurt your throat". I don't know just feeling nice about it.Maybe something like appreciating little stuff ^^

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[10.35 pm] Yayy (happy dance) done for the day.So let me tell you what happened after the previous update.So I slept in the afternoon and my dad woke me up saying my mom was preparing my favourite sabudana vada ( Maybe I'll take a picture next time?).Yeah so the evening started nicely.Then I did a chapter of analysis. 1.I did some drawing and colouring (I'll put the pic here ) I thought it was messy and did not like it but my friends did (Yeah I sent it to them ^^).After dinner I did half a chapter of linear algebra and I am calling it a day day day.

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221 days left to go...

Will I make it ?

The Mayuriit Project.Staytuned on a Tumblr blog near you.

Heya!!

Today I revised some stuff (90% of the day lol) and did chapter 10.Chapter 10 is about the scenic viewpoint theorem,Bolzano-Weierstrass theorem for real and complex numbers.

Fun fact: Bolzano- Weiestrass theorem for reals makes use of the scenic view point theorem and monotonic sequence theorem but both of them are not valid in the complex numbers because complex numbers don't have order.

This chapter also discussed about Cauchy sequences (it has to satisfy a condition to be called that),some facts (and proofs!) about when it is bounded and such and finally the Cauchy convergent criteria.

I also did chapter 11.It is about the convergence of series.It initially told me what series means and some popular series ( telescoping,harmonic,geometric etc) and what do we mean when we say a series is convergent.It spoke about some nice theorems (involving series of non negative terms,comparison test,cauchy criteria,absolute convergence) and some examples based on the theorems.I did get one basic doubt and I'm sure my friend will be able to clear that out as well.He really has my back when it comes to these silly doubts ^_^

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.

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[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.

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[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..

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.

One can live magnificently in the world if one knows how to work and how to love.

-Leo Tolstoy

[3.48 pm]The piecewise functions that I didn't like can be solved easily using greens theorem (Happy dance ).The only condition is that the terms gotta be continuous and bounded.I did complete my targeted 20 problems a day but not at all satisfied with the topic.So I am going to do the same topic tomorrow again but I will find some different problems.It suuuuuuuccccckkkksss when you do problems and still need more problems to perfect the concept but I am going to be patient because everything will be just fine after a year.

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[10.43 pm] I usually wind up with my studies by now but I haven't yet finished some of it. So I am going to sit for 30 more minutes and finish it all off and not push it to tomorrow. I was helping my friend with experimental values for a physics experiment. You know those scientific notations I always used to find them boring when I first learnt about them but now after actually using them so many times I have come to appreciate them very much. Those notations feel like these delicate things to me now. You gotta handle those notations with care and when you do it will give you get such an accurate answer.its just a very nice feeling to see it come together.

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[11.45] I completed a chapter of real analysis 1 and a very small chapter in group theory.I wanted to do a bit of linear algebra but I changed my mind and so I am gonna do it tomorrow.

***

220 days left to go...

Will I make it ?

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

august 1-2

Hello! Here’s another sneak peek of my Notion school page! My courses for my senior year have finally come out an I got all of my first choices! I’m also very proud of my Notion page now bc the aesthetic is just *chef’s kiss*

Also I really want to list them out bc why not, so my courses for this semester are:

AP Calculus AB

Game Design and Simulation

Physics Core: Mechanics

Classical Myth: Epic and Tragedy

Financial Planning

Mentorship: Senior Mentorship I (which is basically a mentor/research program)

All of these are college level courses (except Physics, which is acc. honors, and Financial Planning, which is just a student life course). So yeah, I have a lot of work cut out for me, but I took even more courses in my junior year so I should be fine now tbh. 

And basically I go to a selective (the application was so hard T-T) public residential high school (although its only for 11th to 12th graders) that offers a lot of advanced courses, if you were wondering why I was taking so much college-level stuff. And yeah its pretty prestigious and all that shit bc the average SAT score of students there was like 1430 or smth, although I somehow managed to get in with a 1330 *-* but yeah I love ranting about my school, I could talk about it all day if someone asked ヽ(*ﾟｰﾟ*)ﾉ

1st August - What do you do when you go to the beach?

Lol the last time I went to the beach was when I was in ninth grade and it was part of a school trip so… idk really

2nd August - What do you like most about the beach?

To be completely honest, I just like walking on huge sand dunes barefoot and putting sand in my brother’s swimming trunks

🌿2021 Summer Studying Challenge 🌿

Thank You to @myhoneststudyblr for creating this challenge ^^

🌸July 1 2021🌸

🌱What are your plans for this summer?🌱

I intend to complete 3 courses from YouTube.(Linear algebra,Real analysis and Differential equations).I'll be doing this by watching one lecture of LA or DE or one of RA everyday.

Perfect the proofs of Analysis 1,2,Linear algebra (Theory and computational)

Solve and perfect the problems of Vector calculus, Integral Calculus, Linear algebra , Real analysis.

🌼I also want to remember throughout this challenge that I am more capable than what I believe.🌼

From tomorrow I'll be starting to study real analysis,Linear algebra.I have a feeling I am going to enjoy it.