July 17, 2021

26/05/2021

Salut 👋

I just finished 30 minutes of French 🇫🇷 in Duolingo.I love the way it sounds 🤭So today I have decided to do the following stuff

Simple Harmonic Motion

Group theory Problems

Mathematics and statistics revision

I'm hungry,I'll go prepare my breakfast now.Ba bye have a wonderful day!

“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

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 2 of Summer Studying Challenge🌱

🌸July 2 2021🌸

🐼Do you have a specific goal for this summer ?🐼

I want to become more confident in my abilities by the end of the summer^^

🐻Today I did the following stuff🐻

Completed Assignment 3 of Vector Calculus

Completed chapter 2 of Linear algebra.

Completed chapter 1 of real analysis.

Duolingo French.

🐿Happy Summer 🐿

28/05/2021

Hello 👋

Today I did the following stuff

Revised Physics

Started Linear algebra

Duolingo (French)

For linear algebra I'm currently watching videos by Sheldon Axler.They are short and to the point☘ Here is the link if anyone wants to check the videos out

YouTube

Linear Algebra Done Right

I'm very tired today so off to bed.Ba bye and I hope you had a good day today if not,don't give a damn about this world, you are the best 🤗

Hello! I really like your blog and it somehow makes me feel good and safe, your notes are really pretty! When I look at them they seem so interesting and I wish to understand them but the problem is I haven't even started university (I have just finished high school) and I'm kind of scared thinking it would be too difficult for me to grasp. It is just so different from high school math but at the same much more fascinating. Do you perhaps have any advice on how to introduce myself to it, where to start? Or should I just wait for the classes to start and then study?Best wishes to you!! Thank you

Hey @dantesdream !

I just want you to know that mathematics is difficult at the University level but it is not more difficult than any other university course.It is just different.📚

So how is mathematics different and why you shouldn't get discouraged by it?

There is an entire book written on it.It is called 'Alex's Adventures in Numberland' written by Alex Bellos.There is one particular page that I really like.It talks about how are brain perceives the world around us on a logarithmic scale but mathematics is linear and that is why we have to put the extra effort into it (To convert logarithmic to linear) but according to me this extra effort is far less than wading through hundreds of textbooks often contradicting each other that many other university courses require. Here is the cover page of the book I recommended if you would like to read it.

Apart from having a positive attitude towards it I think it'll be great if you could start studying it before your university begins.

So from where should you start?

If you know where you'll be going for your university studies then you can check if your university has uploaded their notes online and start accordingly.Some old students also usually post their notes,so see if you can get your hands on them.If these two options fail then there are two more.Oxford university has made all their mathematics notes avalilable.You can start with their Introduction to mathematics and complex numbers course (I'll put the link at the end).A student from Cambridge University named Dexter Chua also has made his notes available.You can start with Numbers and sets if you use his notes (Again I'll put the link at the end).

Oxford notes:

https://courses.maths.ox.ac.uk/overview/undergraduate

Dexter's notes:

https://dec41.user.srcf.net/notes/

You should be fine with these but the beginning steps into mathematics needs a little more help.You can use the book called as 'How to prove it:A structured approach' by Daniel J. Velleman.If you can read this with the first course that you are taking (your university notes or Oxbridge notes) then I think you'll enjoy the course more just like I did.Here is the image of the book

If you want to know more then I'm just a message away so feel free to ask your doubts.

And thank you for all your compliments hehe ^_^

// july 🌿

july’s shaping up to be a really busy month! my gold practice expedition was at the start of the month, i’m doing some recruitment for the digital leaders group at school, we break up next week and then i’m going camping and straight on holiday! i did actually have a good time on my expedition, despite my boots being completely soaked by the third day and the inordinate amount of midges.

in terms of my theme for this month i decided to stick with the florals and go for a wildflower theme. it’s quite drawing heavy but i don’t have that much school work this month so hopefully i’ll have time to draw it all!

The feeling of contentment after understanding the proofs from a chapter is all that I’ll ever want and need.

#mathblr

[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.

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! ^-^