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).
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 ^_^
Guess what?
My results got announced !
The results are for my third semester in undergraduate.I am a Math major.So I had 10 classes this semester and I got 7 A+ and 3 As.My sgpa came out to be 8.58.I am super happy and satisfied.I am aiming for a 9 or above this semester and the coming semesters.So join me in my journey and see if I do it 🤭( Hey I did a little bit of advertising there lmao)
That aside today I did the following stuff
Revised Group Theory probelms
Solved some more new problems on Group theory
Duolingo
I hope today treated you well 😇If not then I wish you a good nights sleep 🌙
Love 🖤
[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.
25 II 2023
I had an exam yesterday, one more to go. it was the written part, so 12+ hours of solving problems, exhausting just like before. I completed all of them, but of course I am not sure if my solutions are correct, I will find out on monday. I'm proud of the progress I've made
right now I'm studying for the second part, so the theory-oriented one, I can barely focus because I've already learned those things and now I have to relearn them again
I'm trying to prove all the theorems on my own. partly to see how much I remember, partly to see how much I'm willing to improvize. as they say, if you're using too much memory then you're doing something wrong so I'm hoping to be able to come up with the proofs without memorizing anything new
my technique for studying the theory for the exam is to first test myself on how much I remember by trying to write everything down and note where I'm unsure or don't remember at all. then I read the textbooks starting from the worst topics up to the better ones. when I encounter a long complicated proof I am trying to break it down into steps and give each step a "title" or a short description
for instance, the Baer criterion featured in the photo has the following steps:
only do "extenstions on ideals to R→M ⇒ M injective"
define the poset of extenstions of A → M, A ⊆ B and a contrario suppose there is a maximal element ≠B
use the assumption to define an ideal and a submodule that contradicts the maximality of the extension
it is much easier to fill out the details than to remember the whole thing. this is probably the biggest skill I acquired this semester, next to downloading lecture notes pdfs of random professors I find online lmao
a friend suggested that I could make a post about tips for reading math textbooks and papers. as for papers, I don't have enough experience to give any tips, but I can share how I approach reading the books
a big news in my life is that I got a job. I will be a programmer and I start in march. at first I am going to use mostly python, but in the long run they will have me learn java. I'm excited and terrified at the same time, this semester is gonna kill me
thanks for tagging me @evelynsproductivity!!!
rules: answer the questions and tag some people you want to get to know better/catch up with.
~~~~~~
three ships:
1. Victuuri from Yuri!!! On Ice
2. RobStar from Teen Titans
3. Saiki K and Terusashi (ironically) from the Disastrous Life of Saiki K
last song: Hayloft by Mother Mother
last movie: Uh, I actually can’t remember ヽ(*゚ー゚*)ノ
currently watching: Uh, Teen Titans (the original) and The Disastrous Life of Saiki K (still my obsession lmao)
currently reading: just finished Girl in the Blue Coat by Monica Hesse & about to start Armada by Ernest Cline
currently craving: some really good watermelon
tagging @studyviolette, @silenthoughtss @brightstudyblr, @finchleaf and anyone else who sees this and wants to do it!
I love nights because I can peacefully think about proofs without self made restrictions (To do lists and life)
digital planning is fun ♡
Dead Poets Society as Chaotic Academia, pinterest
Most of the time when I'm reading a mathematics textbook (currently studying Topology by Munkres) I feel like I will never understand what it is talking about.But the truth is I just have to take a deep breath and go ask for help near a prof or a friend.
#rambles #I know the sol but I get discouraged easily
***
218 days left to go...
Will I make it?
The Mayuriit Project.Stay tuned on a tumble blog near you.
18/05/2021
Hello 👋
It is currently 6.40 in the morning and I just finished doing my duolingo lessons.(I am learning French and about to complete check point one.If you know any good movies in French do let me know,I'm struggling to find some good stuff lol).
Today I want to complete the following stuff
Revise yesterday's work and do Group Theory(Important actions and applications)
Solve 10 Problems on Group Theory
Complete revising last week's maths and start revising last week's stats.
I wish a very wonderful day to you ❣ Happy, restful and productive! Don't overdo anything, health always comes first!!
Image credits: Pinterest
Aspiring Mathematician | I follow and like from my other blog | @mayusthings😇|Also my life just revolves around maths and books| tracking:heythoughtss|Open to asks,shoot'em
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