I Got A Proof Wrong On An Exam. No Points. 

Sunday, 11th July 2021

Further Maths - Mechanics Mixed Exercise 2

Doing some mechanics questions to practise because it does my head in… I got this book from my parents earlier, as it’s an old present they found - looks super interesting! Today’s a funny day bc everyone’s waiting for the football tonight haha

🎵 Boulevard of Broken Dreams - Green Day

Answers to the summer studying challenge under the cut!

Keep reading

[3.48 pm]The piecewise functions that I didn't like can be solved easily using greens theorem (Happy dance ).The only condition is that the terms gotta be continuous and bounded.I did complete my targeted 20 problems a day but not at all satisfied with the topic.So I am going to do the same topic tomorrow again but I will find some different problems.It suuuuuuuccccckkkksss when you do problems and still need more problems to perfect the concept but I am going to be patient because everything will be just fine after a year.

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[10.43 pm] I usually wind up with my studies by now but I haven't yet finished some of it. So I am going to sit for 30 more minutes and finish it all off and not push it to tomorrow. I was helping my friend with experimental values for a physics experiment. You know those scientific notations I always used to find them boring when I first learnt about them but now after actually using them so many times I have come to appreciate them very much. Those notations feel like these delicate things to me now. You gotta handle those notations with care and when you do it will give you get such an accurate answer.its just a very nice feeling to see it come together.

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[11.45] I completed a chapter of real analysis 1 and a very small chapter in group theory.I wanted to do a bit of linear algebra but I changed my mind and so I am gonna do it tomorrow.

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220 days left to go...

Will I make it ?

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

21/05/2021

👋 Hello

It's around 10 pm and I'm not yet sure If I want to sleep in early or just chill around with my phone a little longer .Today I completed the following tasks

Revised Group Theory

Revised stats for 15 minutes

Revised chemistry for minutes

Studied Bayers Strain Theory in chemistry

Complete 10 problems from group theory

Little bit of Duolingo (I'm learning French)

I also submitted my chemistry assignment today

I'm quite happy with how today turned out.In the afternoon I was thinking that I can't get it all done but some I managed so a little proud of myself today.

Tomorrow I'll be starting the Schaum's series for Abstract algebra.I'll not be doing it entirely now.I will just be focusing on the group theory part that is the first 10 chapters.I'm planning on doing 1 chapter a day for the next 10 days.If anyone wants to join me in solving the Schaum's series please let me know, we can do it together and keep each other accountable and help if doubts arise.It'll be just for 10 days so a very short period of time.

That is all that is there in my study part of my life right now.

I hope today treated you well as well😊If not, there is always a tomorrow🐣

Good Night 🌟

saga in black and white

🐼3rd July and 4th July of Summer Studying Challenge 2021🐼

Do you have a lot of work this summer?

The work is not a lot but I do need to be disciplined to get it all done.

What is the most important task that you need to complete this summer ?

I have to complete my mathematics assignments.These include Vector Calculus, Integral Calculus, Real Analysis, Linear algebra and Group theory.It might look like it's a lot but it is not.I have been struggling with Group theory assignment 3.It has been such a nightmare lol.I did speak to my maths professor about this and he said he will help me out.So a bit relived for that.

🌿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.🌼

My July spread 🐻

In the above picture I have a calender where I put down major events, tracker for my habits, a monthly check in for reflection and improvement.

Happy and Blessed July to you ^^<3🌿

What she says: I’m fine

What she means: How come Rene Descartes is only remembered as a philosopher, and the guy who said “I think therefore I am”? The Cartesian plane is NAMED after him and still only hard mathematicians know that he invented it. Also, the whole Newton/Leibniz argument completely ignores the fact that Descartes allowed both of them to discover calculus, because of his theories/ideas and invaluable work with exponents - he literally laid the foundations of calculus but no one mentions him when discussing who invented it. He even invented the modern notation of writing powers as superscripts as well as the convention of using x,y,z for variables and a,b,c for constants. Most importantly he INVENTED ANALYTIC GEOMETRY and pulled everyone’s collective heads out of their collective asses. He was one of the greatest mathematicians. But yeah, a cool philosopher too, let’s let “Cogito Ergo Sum” be his only legacy.

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 🍰

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…