Gloomstudy - Blog Posts

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.

[8.08 am] Just finished revising all the vector calculus that I have done so far. I will do 10 more pages of vector calculus today. Just praying to God that this day goes well.

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[12.29] I studied vector calculus for an hour and so done with it for today. I will later check out Paul's online notes to see if I can use them for my next two chapters. But for now, I'll watch a movie.

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[10.18] I completed three chapters of analysis 1.Omgggg.I was listening to some om chantings in the afternoon because I was getting stressed. It did help and made my day go so much better. I still haven't figured out how I will remember the proofs. I understand them and only vaguely reconstruct them. I just have to remember that I don't need to stress about it. I'll eventually get to know about it. If you guys know how to do it then please let me know <3

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217 days left to go...

Will I make it ?

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

[2.01 pm] Since morning I have been struggling with focusing on one thing.I did complete today's vector calculus stuff but with that I was also doing the drawing above and watching The wolf of Wall Street.My focus has been all over the place.I need to pull myself together.

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[7.57 pm] Done with 1 chapter of Analysis 1.It was about Cauchy sequences.I understood the proofs and was able to recreate them on my own.They were not perfect but I did get the gist.

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[9.18 pm] I am not going to finish the linear algebra chapter that I started.It is hard and I am not going to force myself.The world is not gonna end if I finish it a little late.So taking if slow.I did finish a chapter in group theory .I will do a bit of duolingo and sleep.I am planning on just doing vector calculus tomorrow and do duolingo the rest of the day.

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219 days left to go...

Will I make it ?

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

[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.

🐼3rd July and 4th July of Summer Studying Challenge 2021🐼

Do you have a lot of work this summer?

The work is not a lot but I do need to be disciplined to get it all done.

What is the most important task that you need to complete this summer ?

I have to complete my mathematics assignments.These include Vector Calculus, Integral Calculus, Real Analysis, Linear algebra and Group theory.It might look like it's a lot but it is not.I have been struggling with Group theory assignment 3.It has been such a nightmare lol.I did speak to my maths professor about this and he said he will help me out.So a bit relived for that.