I Am Currently Studying Analysis 1.In That They Proved That The Square Root Of 2 Is An Irrational Number

I Am Currently Studying Analysis 1.In That They Proved That The Square Root Of 2 Is An Irrational Number
I Am Currently Studying Analysis 1.In That They Proved That The Square Root Of 2 Is An Irrational Number

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 šŸ°

More Posts from Mayusthings and Others

3 years ago

someone needs to tell Lance Armstrong about the Banach Tarski paradox

3 years ago

Hello! If you don't mind can you tell me how you organised your journal for your academics.I am a maths major and I wanted to do that for my proofs as well.I did try searching on the internet but I didn't get anything good.

Thank You in advance xx

It was a really basic format honestly ! So these are all the journals I kept during my whole undergraduate degree.

The black ones were for course and module information, lecture notes, to do lists and essay plans.

The dark and light yellow were a reading journal and a dissertation journal. I wanted to separate my own impressions of texts and I wanted to keep all my dissertation research and planning in one separate place as obviously I was conducting it by myself.

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Black Journals

At the start of every year I would write down all the essential information from each of the four modules I was taking. This is an example (I have whited out the name and email of my course convened and lecturer for privacy reasons). But it includes contact information, lecture and seminar hours and locations, learning outcomes and assessment criteria (the things you will be assessed on, obviously paying attention to these helped me get top grades), assessment information (how many essays or exams I had that year and how much they contributed to my final mark and how many words they were) and finally the primary reading list.

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This is what a spread of my lecture notes looks like. I always hand wrote my lecture notes because I couldn’t retain information and didn’t enjoy using a laptop. In my first two years I used a rough notebook to write them down then wrote them up neatly later, which was too time consuming for third year. But by that time I had developed my note taking skills and felt confident writing them up as I listened in the lecture. I just wrote the name of the module and the text we were studying and the date for reference. I would change to a red pen for anything I felt was key information. I know most people won’t like this method but I write fast and quite neatly !

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My to do lists, essay plans etc didn’t really have a format obviously. I just wrote down what I needed to do, did some rough mind mapping, occasionally put a little doodle in. My essay plans were sort of all over the place but this is where I did my essential planning and then rough work tended to be on scraps of paper or on the draft essay document. The first is a checklist at the end of the year and the second is one of the essay plans/brainstorms for an essay I got a first in.

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Yellow Journals

(i.) Reading Journal

I kept a reading journal throughout university, which I wish I had used more. It’s literally just a brain dump of all my thoughts and impressions of what I was reading and any quotes I found relevant. I included secondary reading in this too in my final year. It’s something I’m going to carry on with because I love having somewhere to keep my stream of consciousness about literature. It was so helpful for me to read over this when I was writing my essays because there were some really insightful bits of analysis or key things that I had forgotten and needed reminding of. Highly recommend everyone doing this, if not on paper then on a document on your laptop !

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(ii.) Dissertation Journal

There was very little method to this journal. But having it all in one place really kept me organised. It was a place of messy but very important brainstorming, figuring out and rough work. It’s the sort of thing that’s probably only coherent to me. I just wrote down what I needed to do as I went along. So in the early stages there was a lot of trial ideas, there was pages of information about how we should structure and deal with our dissertations from lectures, deadlines etc.

The first image is the first page where I started writing out some vague ideas about the topics I wanted my dissertation to address and which literature that worked with. The last two are just an example of what some of my working out looked like, how I was deciding to structure my argument, and which secondary materials and theorists I would use for each chapter. But there were all sorts of things in there, random tangential points and ideas I needed to note down, tips about how to write an effective dissertation etc. It ended up being my highest grade so this definitely worked for me !

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3 years ago
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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 -_-

3 years ago
Heya! I Finished Chapter 12 Of Analysis 1.It Was I Think The Toughest Chapter So Far But It's Not That
Heya! I Finished Chapter 12 Of Analysis 1.It Was I Think The Toughest Chapter So Far But It's Not That

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 šŸ¤·šŸ»ā€ā™€ļø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

3 years ago
Hi Guys! As Some Of You May Know, I’ve Been Trying To Switch Over To Notion To Stream-line All My Research
Hi Guys! As Some Of You May Know, I’ve Been Trying To Switch Over To Notion To Stream-line All My Research
Hi Guys! As Some Of You May Know, I’ve Been Trying To Switch Over To Notion To Stream-line All My Research
Hi Guys! As Some Of You May Know, I’ve Been Trying To Switch Over To Notion To Stream-line All My Research

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.]

3 years ago
mayusthings - mayusthings

mayusthings - mayusthings

[8.08 am] Just finished revising all the vector calculus that I have done so far. I will do 10 more pages of vector calculus today. Just praying to God that this day goes well.

***

[12.29] I studied vector calculus for an hour and so done with it for today. I will later check out Paul's online notes to see if I can use them for my next two chapters. But for now, I'll watch a movie.

***

[10.18] I completed three chapters of analysis 1.Omgggg.I was listening to some om chantings in the afternoon because I was getting stressed. It did help and made my day go so much better. I still haven't figured out how I will remember the proofs. I understand them and only vaguely reconstruct them. I just have to remember that I don't need to stress about it. I'll eventually get to know about it. If you guys know how to do it then please let me know <3

***

217 days left to go...

Will I make it ?

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

3 years ago
[10.26 Pm] Tomorrow’s My Chemistry Final.So Just Hoping That It Goes Well.Today I Completed Differential

[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.


Tags
3 years ago

I love nights because I can peacefully think about proofs without self made restrictions (To do lists and life)

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mayusthings - mayusthings
mayusthings

|She/her | Maths Undergrad | I love reading too|Personal blog is @silenthoughtss| I follow and like from this account|

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