What Does FTC Say?

silenthoughtss - silenthoughtss

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.

silenthoughtss - silenthoughtss

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.

silenthoughtss - silenthoughtss

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.

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More Posts from Silenthoughtss and Others

3 years ago
🐼3rd July And 4th July Of Summer Studying Challenge 2021🐼

🐼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.

4 years ago
“I Think, If It Is True That There Are As Many Minds As There Are Heads, Then There Are As Many Kinds
“I Think, If It Is True That There Are As Many Minds As There Are Heads, Then There Are As Many Kinds

“I think, if it is true that there are as many minds as there are heads, then there are as many kinds of love as there are hearts.”

- Anna Karenina, Leo Tolstoy

El Capricho Park (Parque El Capricho) , Spain

3 years ago
image

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?

My phone, a large supply of food and a blanket! ^-^


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3 years ago
Dead Poets Society As Chaotic Academia, Pinterest
Dead Poets Society As Chaotic Academia, Pinterest
Dead Poets Society As Chaotic Academia, Pinterest
Dead Poets Society As Chaotic Academia, Pinterest
Dead Poets Society As Chaotic Academia, Pinterest
Dead Poets Society As Chaotic Academia, Pinterest

Dead Poets Society as Chaotic Academia, pinterest

3 years ago

My July spread 🐻

My July Spread 🐻
My July Spread 🐻

In the above picture I have a calender where I put down major events, tracker for my habits, a monthly check in for reflection and improvement.

Happy and Blessed July to you ^^<3🌿


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4 years ago

23/05/2021

23/05/2021
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)


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4 years ago

Remember my Sunday post where I said I'm looking forward to the week because I am feeling good about it ?

Lmao Guess what happened, Monday morning I flipped and started getting anxiety attacks and could not really move much the entire day.Tuesday also it continued.Today its much better though and I'm taking it very very slowly.

If you are going through anything similar know that it won't last forever.

You are so much stronger than your anxiety.

23/05/2021

23/05/2021
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)


Tags
3 years ago
🐼3rd July And 4th July Of Summer Studying Challenge 2021🐼

🐼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.


Tags
3 years ago
[2.01 Pm] Since Morning I Have Been Struggling With Focusing On One Thing.I Did Complete Today's Vector

[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.

***

[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.

***

[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.

***

219 days left to go...

Will I make it ?

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


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4 years ago

29/05/2021

29/05/2021
29/05/2021

Heya

I hope today treated you well

So today I did the following stuff

Revised Linear Algebra and revised the anki cards of linear algebra that I made yesterday

Did some problems on linear algebra

The surest way to succeed is through repetition of the material and by solving past papers 📝 So make sure you do finish it 3 Days before the exam.

Peace✌️


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silenthoughtss - silenthoughtss
silenthoughtss

Aspiring Mathematician | I follow and like from my other blog | @mayusthings😇|Also my life just revolves around maths and books| tracking:heythoughtss|Open to asks,shoot'em

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