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^_^
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The Mayuriit Project
Will I make it? Stay tuned to find out!
206 days left…
[11.32 am]I have ODE lab viva soon and I am terrified but hopefully, it will be over soon. I have given myself the task of completing 20 problems of vector calculus.
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[3.20 pm] I did start but there has been a dip in my motivation.So I guess I will just take a nice bath, cook some snacks for myself and my parents and then sit and study again.
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[9.45 pm] I am done for the day.Today I did some problems on vector calculus.I don't know why but I felt tired in the evening and just could not sit and solve stuff so I did not force myself.There is some kind of peace in calculating the angle between two very complex surfaces don't you think? Only if I had more energy to go through it.But now I remember also loving the concept of directional derivative.It is not done yet so gotta continue tomorrow.
222 days left to go..
Zero to the power of anything is zero. Anything to the zeroth power is one. So what is zero to the zeroth power?
The world's most cited mathematicians would seem to be in disagreement about the issue
Do you have any favourite theorem(s)? I'd love to know xx
oh okay i like this. and of course i have favorite theorems, mostly based on how useful they are. here you go :
fermat's theorem (for congruences)
lagrange's theorem
fundamental theorem of finite abelian groups
density theorem
fundamental theorem of calculus (the one which uses riemann integrals)
wilson's theorem (for congruences)
special mention : squeeze theorem (mainly cause of the name)
[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
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215 days left to go…
Will I make it ?
The Mayuriit Project.Stay tuned on a Tumblr blog near you.
july 16, 2021
Hey everyone! For the past few days (and since I found out about energy management) I’ve actually been super productive and getting all my work done! It’s very satisfying tbh. And I’ve already started planning out my senior year again. I’m aiming for all A’s this semester! And it’s gonna be difficult because all of my courses are either honor level, accelerated honor level or college level courses because of the school I go to (besides stuff like PE, student life courses, etc) but I’m confident that I can do it! :)
16th July - Do you have any summer traditions?
I usually travel out of the country each summer, but COVID -_-
someone needs to tell Lance Armstrong about the Banach Tarski paradox
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
Hi guys! As some of you may know, I’ve been trying to switch over to Notion to stream-line all my research progress and notes in one space. Unfortunately, all the examples I found here on Tumblr and on Youtube were more geared towards a bullet journal adaptation of Notion or more undergraduate-focused use of the app, which wasn’t what I wanted to model mine after. Therefore, I decided to play around with Notion myself and ended up making it work for my purposes. Because I am using this with the intention of being more focused and having my priorities straight, I kept the theme pretty basic and efficient. I am still working on learning how to use this app for my purposes but I decided to make this post to show you guys how I set up my Notion. Feel free to message me if you ever have any questions about my set-up or would like to see more of how I set a particular page up. Some toggles and texts are blurred out for research privacy purposes since it is unpublished data. [click on individual images for full res.]
🌿What would be your perfect summer day? 🌿
Hello, welcome to mayusthings where I'll be simply talking about my daily life as a maths undergrad and topics in mathematics that gets me jumping out of happiness!
I hope through this blog that people will get to see that mathematics is a cool subject that can be conquered one step at a time. I also want to make it more accessible to everyone.
Hope to see you around:)
Picture credits:étoiles on Pinterest.
|She/her | Maths Undergrad | I love reading too|Personal blog is @silenthoughtss| I follow and like from this account|
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