Mymessystudyblr - Blog Posts

Some group theory notes that I took today.

📚Summer Studying Challenge 📚

August 8 2021: What books are you currently reading?

Yesterday I started reading 1984 by George Orwell.But I have also started two other books namely 'Men of Mathematics' by E.T.Bell and 'Music Of Primes' by Marcus du Sautoy.I have also decided to buy Anna karenina by Tolstoy after reading a post about it by @theclassicalmind.

🌟3rd August 2021 🌟

Summer Studying Challenge by @myhoneststudyblr

Q. What is your least favourite thing about the beach?

Probably getting sand in my hair lol

📷 The picture attached is my bujo spread for the first week of August.

📚Currenly Reading : Men of Mathematics by E T Bell.

I’m so tired today,Btw my august spread.

Happy August you guys ^_^

30th July 2020

🌿What would be your perfect summer day? 🌿

Wake up late,have a light breakfast,pack a good lunch and go to a nearby scenic water place with my family.My family includes my parents,my cousins,my uncles and aunts.Eat a ton of fruits,play a lot of games,make a truck load of memories and fall asleep on my mommy's shoulder in the car on the way back home.

Today was a good day ^_^

I completed

The first chapter of Analysis 2.The first chapter is all about limits.

I also did half of chapter 13 of analysis 1.

I also solved like 15 problems of analysis 1.

I loved the chapter of power series.It was kinda cool.I also liked the chapter of limits.I am looking forward to study tomorrow's chapter ^_^

(PS:The picture is some old notes of group theory)

Heya! I finished chapter 12 of Analysis 1.It was I think the toughest chapter so far but it's not that tough that I'll loose my sleep over it.I also got the above book from Amazon today.The title is sexist but so is history 🤷🏻‍♀️I started from the last chapter and made some notes on it.I also revised chapter 8 today.Otherthan that it was a pretty chill day.I also answered an ask on Tumblr.I thought it was important to answer the question correctly and so I tried to the best of my ability 🐰

Now Nighty Nighty you guys

I hope you had a good day <3

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 ^_^

Heya!!

So today I just revised the first four easy chapters of analysis 1 and then I started chapter 12 (Analysis 1).Chapter 12 is about tests for convergent series like the leibinz test for alternating series,comparison tests (there are two of them) and a lot more which I will be doing tomorrow.I am feeling very tired today.I didn’t even do much.I just had 2 hours of statistics exam and have been feeling tired ever since.Maybe I did not rest enough after the exam or maybe I just have to go and sleep now.

I did place an order for some multivitamin pills though.This is the first time I’ll be using the brand so let’s just see how that goes and apart from that I telephoned two of my school teachers.Here in India it’s guru Poornima (Basically Teacher’s Day according to the Hindu calendar) and it was lovely talking to them.I really do miss them a lot.I also put a sheet mask on in the evening hoping that it’ll make me feel better.It did but I’m still tired so I’m just gonna go sleep.

Aww look at you cutie reading everything hehe I hope your day went better^_^

See you tomorrow <3

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 ^_^

Heya!!

Today I revised all the topics I covered in Analysis 1 so far and did chapter 8 and 9.

Chapter 8 is about the algebra of limits.In there I learnt how to write proofs using ε-N method.There were quite a number of cases (with examples!).Most of them were good and could be deduced easily from previous theorems and axioms but I did find 4 proofs a little challenging.I have noted them down and I’ll be discussing those with my prof soon.

Chapter 9 was about monotonic sequences.In there I learnt about the monotonic sequence theorem and the proof of this theorem is very cute.This theorem's proof is very intresting because it connects to the theorem where square root of 2 is proved as irrational but it is more general.So it patches all the gaps on the real number line quit nicely.There were some examples too which I liked and I also learnt the steps of proving a theorem when monotonicity is involved.

It was a pretty cool day.

I hope you had a good day too^_^

***

The Mayuriit Project

Will I make it? Stay tuned to find out!

206 days left…

I am currently studying Analysis 1.In that they proved that the square root of 2 is an irrational number using the approximation of supremum concept and I'm floored.The proof itself makes use of 2 concepts (the completeness axiom and the law of trichotomy).I'm just in love with that proof right now.

Above are some pages from my journal.

Hope you are having a goody goody day 🍰

[10.04 am] I am planning on waking up at 4 tomorrow and eventually make it a habit.I'll keep updating you guys on that xx

***

[9.51 pm] Today I wrote my last chemistry exam for life and I couldn't be happier.Next year onwards I can just have maths courses so no more chem fuss.Tomorrow I have my law exam so preparing for that.It is an extra subject.I am not at my best today.I have been anxious all day and hopefully I will feel fine tomorrow.

***

214 days left to go...

Will I make it? 49 assignments...23 courses..1 tiny room...

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

[10.26 pm] Tomorrow’s my chemistry final.So just hoping that it goes well.Today I completed Differential calculus and vector calculus course.I still have problems to do though but that is 2 down out of 50 assignments ^^ (Happiest Dance lol).It felt nice to cross of that from my monthly goals spread.

I hope your day went well.If not there is a fresh tomorrow waiting for you.<3

***

215 days left to go…

Will I make it ?

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

[3.06 pm] I have not yet started my day.I watched a movie in the morning (Mona Lisa Smile) I am in love with Julia Roberts Help Me!!!.I am feeling so good about myself and my situation right now.I love these days.

***

[9.57 pm] I finished two chapters of Differential equations and revised previous week's stuff.I put a face mask on, lit a candle and just chilled in the evening after the work.I am thinking of switching my moisturising cream so hunting for a new one.I'm thinking of ordering some more candles as well because they are helping me in reducing my study anxiety lol.

I hope you guys had a nice day.

***

216 days left to go...

Will I make it?

The Mayuriit Project, Stay tuned on the 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.

***

[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.