saga in black and white
🌿What would be your perfect summer day? 🌿
🌿What would be your perfect summer day? 🌿
[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.
someone needs to tell Lance Armstrong about the Banach Tarski paradox
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
Summer Studying Challenge by @myhoneststudyblr
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.
Theorem: Take a circle, the area of this circle is the same as area of a right triangle that has one leg equal to the radius and one leg equal to the circumference of the circle..
A long time ago in a faraway land people led simple lives by the means of agriculture. There was plenty of food to eat and to be merry. They had roofs on their head and fresh river water flowing nearby. Life seemed perfect but it was not. Every year when the rains 🌂 began, the river nearby would flood into the village and destroy their lands and homes. The people in the village would move to a nearby village for shelter with their cattle. When the rain stopped they used to come back and each time they came back they found their place in destruction. Their houses had to be rebuilt and their lands had to be outlined again. Fights were a common scene on how the outline was before the water washed it away. So the concept of the area came to maintain peace.
Finding areas of lands made with straight lines was easy but how to find the area of a land that is a curve ?
Firstly instead of taking a land made up of crazy curves let's take a land made up of the simplest curve, the circle.Draw a circle and fill in its area. Then divide it into large equal parts and arrange them in a rectangle.
It's not yet a perfect rectangle.So divide the circle in parts and try arranging these sections into a rectangle.You'll get a thing that starts looking like rectangle.
Now as you divide the circle more and more and try to arrange those parts you'll get a more nice rectangle. This more and more is nothing but the concept of limits in calculus.
So the area of the circle is the area of the rectangle.The area of the rectangle is Base×Height. Here the height of the rectangle is the radius of the circle and Base is equal to twice the area of the circle. So cut up the rectangle diagonally and you'll get a right-angled triangle with a Base as the radius of the circle and height as the circumference of a circle.
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!
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).
https://courses.maths.ox.ac.uk/overview/undergraduate
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 ^_^
Hi everyone, here’s the folder :)
It contains PDFs of A-level textbooks for:
OCR Physics A
OCR Chemistry A
Edexcel Further Maths - Mechanics
Edexcel Further Maths - Core Pure 1 & 2
Edexcel Further Maths - Decision
Edexcel Maths - Pure 1 & 2
Edexcel Maths - Stats/Mechanics 1 & 2
Hope you find it useful!
|She/her | Maths Undergrad | I love reading too|Personal blog is @silenthoughtss| I follow and like from this account|
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