Sunday, 11th July 2021

🌿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.🌼

4/06/2021

Heya!!

It's a beautiful day here and I have decided to do the following stuff

Complete revising Differential Equations ( I have an exam on it next week)

Finish the last assignment of Group theory

Revise Group theory Problems

I hope you have a wonderful day ^^<3

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.

Math notes on graph theory!

august 18, 2021

Hello! I’m in a pretty good mood today bc I’ve started getting homework done and I’m determined to stay on top of my work this year! I don’t want to make the same mistakes I made in my junior year and I have college apps, so I’m gonna work extra hard this year! Best of all, I also got the Director of IT position for an organization I applied for! :)))

18th August - What is your favourite summer drink?

Cherry slushies and chocolate milkshakes!

[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.

Not me listening to this amazing Streets edit while I’m taking my SAT test 

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! ^-^

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 ^_^

18/05/2021

Hello 👋

It is currently 6.40 in the morning and I just finished doing my duolingo lessons.(I am learning French and about to complete check point one.If you know any good movies in French do let me know,I'm struggling to find some good stuff lol).

Today I want to complete the following stuff

Revise yesterday's work and do Group Theory(Important actions and applications)

Solve 10 Problems on Group Theory

Complete revising last week's maths and start revising last week's stats.

I wish a very wonderful day to you ❣ Happy, restful and productive! Don't overdo anything, health always comes first!!

Image credits: Pinterest