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.
🐼3rd July and 4th July of Summer Studying Challenge 2021🐼
The work is not a lot but I do need to be disciplined to get it all done.
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.
“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
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! ^-^
Dead Poets Society as Chaotic Academia, pinterest
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.
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)
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
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)
🐼3rd July and 4th July of Summer Studying Challenge 2021🐼
The work is not a lot but I do need to be disciplined to get it all done.
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.
[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.
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✌️
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
111 posts