study-discussion

[velvet nacelle]

oh i just realised this is study discussion… well

[worthy kindle]

I am just copying and pasting my question here

Hi guys! I just joined, I am 19 and have severe ADHD. I just got my medication today.
I didn't pay attention in school until high school and I am missing a lot of my foundations in math and English. Id like to go into a STEM field eventually but before I even go to college I want to learn everything up to high school in math and english then relearn what I struggled with in high school with the foundations I learned.
I quite literally dont even know my times tables.
I may need to ask in #math-discussion but I just made a khan academy account and it was wondering what grade level would best to start with or if I need to do anything at all. Im kinda just jumping in blind because I have been sitting around doing nothing since graduating early last year.

Sorry for the paragraph

[worthy kindle]

I am starting at a 3rd grade level in khan academy since thats where I stopped paying attention in school but its just really child oriented

[fleet hill]

No but I found reading Bak & Newman pretty easy

My class used that one and then switched to Stein & Shakarchi for some topics like path homotopies

B&N is kinda bland but I think it's straightforward to follow

[sterile rapids]

to what % will i be able to cover a level maths & further maths statistics over a 2-3 month holiday if i revise 5-7 hours a day

[civic wasp]

,iam

[mossy shadow]

Please select the desired selfroles! (Use ,iamnot to remove your current selfroles.)

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Selfrole selector timed out, your roles were not updated.

Mar 25, 2026, 9:32 PM

[cosmic pike]

Guys are groups just intersection of monoids and loops right?

[fleet hill]

Yeah you could say that

[gaunt ruin]

im having a blast with my classes only issue is that is a lot of work and i get extremely tired very quickly

any tips?

dont want to end up slacking off

[normal sleet]

This is normal, I typically work 3 to 4 hours a day max

You probably will have a finite number of hours you can take too, just work with that and enjoy your life outsdie, its good work-life balance too

[storm jasper]

Guys how do i study more? For reference i study 5 hrs a day but im rly unproductive

[rocky terrace]

Tiktok
53 hours

Bro has Tiktok as a full time job + overtime

[rocky terrace]

Step 1: Delete Tiktok

Consistently

[bright lintel]

Are you studying with tiktok in the background

Regarding sleep, if you have friends, doing sports with them once or twice per week will help improve sleep quality
The friends part is important to not give up the sport after 3 weeks

[rocky terrace]

I also struggle with using my phone too much, I use this app called ScreenZen to put softlocks and limit my screentime for specific apps that I end up using too much

[storm jasper]

I sleep like from 3-6 am

I also workout

[rocky terrace]

That's not enough lil bro

[storm jasper]

And

Im 17… though

[rocky terrace]

Especially when you're young (teenager)

you need enough sleep

[storm jasper]

Yeah

Protein + sleeping

[rocky terrace]

Get 8 hours of sleep consistent sleep every night

[storm jasper]

Okay, 3-6 hrs is the range…

I sometimes go to bed at 12 am

And wake up at 6

[rocky terrace]

tbh I don't think it matters too much when you go to sleep and wake up as long as you consistently go to sleep on the same time and get around 8 hours of sleep every night

[storm jasper]

No, i just doom scroll for like 10 hrs a day and then lock in

[rocky terrace]

But yeah delete Tiktok rn 🗿

Imagine not doom scrolling and locking in for like 8 hours a day

[storm jasper]

It was far worse awhile back

[bright lintel]

You'll have so much free time you won't know what to do with it and will end up replacing it with another addiction

[rocky terrace]

How did you use your phone for 34 hours in 1 day?!!?

[storm jasper]

Wdym

Week avg

I eat like 70-100 grams a day

Brooooo whyyyy

[rocky terrace]

I think the answer is pretty clear

[storm jasper]

[storm jasper]

50 hrs 😔

[rocky terrace]

Besides pick up something else to replace Tiktok

like reading a book for example

[raven kindle]

A math book

[storm jasper]

Time to have 50 hrs on google drive

I have all my textbooks on there so

[storm jasper]

Its not that bad trust

[rocky terrace]

it won't be a 1-1 translation from time spent on tiktok to time spent studying because studying is a much more mentally taxing activity than mindlessly scrolling short form content

but it will still help a lot

[rocky terrace]

sotrue

[storm jasper]

But im locked in, alg top, phtnam and dunamical shstems

Um

Oh shit yesturday was worse

Analysis + point set

[rocky terrace]

Have you done exercises from analysis and pointset?

[storm jasper]

Yes

Since when was neamesis postgrad damn

[rocky terrace]

Since they gave me the role

[storm jasper]

Im getting withdrawl now

@glacial bluff

[fathom pelican]

Why you delete tt?

[storm jasper]

Scroll up

Idk about resting tbh, i can get rid of tiktok but prob not the sleeping

I just do hspu and plnche

Planche

[verbal stump]

Help😭😭

[lyric iris]

guys i need some tips

how do i avoid careless mistakes

[heavy needle]

Care more

[normal osprey]

what's ur cr rank

[storm jasper]

Mid

[tall lynx]

Hi guys. I'm currently doing Calc 3 and Numerical Methods. I also have Gemini Pro to automate different things, so I have Notebook LLM, gemini, etc. Do you recommend any of these for explaining topics I might not understand when reading the bibliography?

[storm jasper]

Mathstack exchange is good

Ai isnt that good for math explanations

[tall lynx]

Okay

Thanks for your answer.

[stuck plank]

HeLLO. I have to do stupid homework and dont know what 1 plus 1 is.

[storm tide]

Tedious troll is tedious. If that is all you have to contribute with, this might not be the server for you.

[green terrace]

<@&268886789983436800> 1+1 toll

[rocky terrace]

sotrue

[shell glade]

you spent 32 hours on your phone in one day?

[storm jasper]

Well 5 was productive doing algebraic topology and studying for the Putnam

[shell glade]

how do we not have the russell-whitehead 1+1=2 line

as a sticker

[storm jasper]

Is it that bad

[storm tide]

Personally I'd say because that's rather silly as a meme. But opinions might differ on that.

[lyric iris]

✅ thank you

[left yacht]

get adequate sleep

[lyric iris]

✅ thank you

[raw tinsel]

i see ryan!

[green terrace]

Mrrp

[raw tinsel]

oh no i dont see ryan

on pc

on phone its ok

[green terrace]

Yea spammer warnings hurt the most on pc

[heavy needle]

Char 1 be like

Oh it literally mentioned characteristic 1 on the slide LMFAO

[sudden dragon]

@astral lantern

[astral lantern]

i've already told you something

please go to your channel

and check

[gaunt ruin]

hey, you taking Analisis 2 right?

this is what you mean by Calculus 3?

or you mean Analisis 1?

[tall lynx]

Ah vos sos Renato 😅

Soy Ivan de Telegram.

[gaunt ruin]

ya veo, yo tambien la estoy cursando (Anal 2), me preocupa un poco el tema del paro, pero hay que ver que se decide hoy en la asamblea

[tall lynx]

No voy a poder ir, espero enterarme de lo que se decide.

[gaunt ruin]

tambien esta disponible online por meet

[gaunt ruin]

abajito de la imagen esta el link del meet, por si podes unirte virtual

[tall lynx]

Mil gracias.

[velvet escarp]

I just got a free walking pad from work! I plan on setting it up both for work and studying when I start school later this year, but im wondering has anyone studied while walking? Im not sure if its going to be difficult or not. I feel like when im working on hard problems I will often move around and think, so maybe it wont be too distracting.

[storm tide]

I feel I think better when walking than sitting down...
Reading/writing would be a logistical challenge, though.

[velvet escarp]

No pen and paper? Vs what else? White board and marker? I use those as well

[gaunt ruin]

y... el paro va a continuar indeterminadamente en resumen

posiblemente no inicie el cuatrimestre por completo

[green terrace]

<@&268886789983436800> users not speaking english

[velvet escarp]

Is there a rule against not speaking English? I'm pretty sure math transcends languages

[gaunt ruin]

isnt this person likely an spammer? or is that a mistake

[wheat meteor]

I end up walking almost every time I am stuck on a problem, and then I use whatever object I find to support me while I write it down.

[regal canyon]

Please keep conversations to English

[regal canyon]

Long story

[heavy needle]

You can't even order a black coffee in Spanish around these parts, ain't that right @proven kraken

[gaunt ruin]

thats right

but in my defense, he started speaking me in spanish I just went along with it

greetings to costa rica, dandida.

[true tendon]

Can't we speak in Spanish?

why?

[true tendon]

Sisi

no veo el problema

[spare igloo]

there is no study discussion in ba sing se

[grizzled swallow]

Hi I am new to this channel I was wondering how you guys study maths effectively and what do you guys do when you get stuck on a question and also how to minimise silly mistakes in exams

[green terrace]

<@&268886789983436800>

[brazen mist]

#optimization for minimization problems

[fleet hill]

Do you think you make silly mistakes because you rush or because you're nervous?

There are ways to try to keep more calm and collected during the exam like doing practice problems in the exam room under exam conditions

[storm tide]

<@&268886789983436800> mrbeast scam

[storm jasper]

Is the ban here

[tropic void]

i thinkㅤso

[hoary knot]

I’m complete dogwater at math especially with analysis and algebra

Was thinking if I should switch up my studying strategy

^^^ trying to get around automod

[primal cairn]

you can remove this Aprill foolls crap in the roless section

sorrry for the Inconvenience, mod pearly out

[hoary knot]

oh my gawd bruh lmfaoo

lowkey tho it was for real

[golden stump]

😭

[dense viper]

greetings. i dont need help with something specific but i do have a concern of some sort. i believe this is the appropriate channel for it. i did not pay much attention to mathematics at school so my knowledge has many gaps. for example, i may know how to do a quadratic equation, and to use the quadratic formula, but i dont know what is happening behind it, with the variables and such. what should i do/studyy to get back on trackk? i wouldd appreciate a roadmap of some sort to coverr the most important gaps. thanks.

[analog depot]

I would suggest checking out your earlier programs if that's possible and have a general look on what you think you might've overlooked

Get your fundamentals set, and practice

Perhaps check other systems, like the course topics of Khan Academy for example

[dense viper]

appreciate it though i did not mention it, i did not pay attention to mid-high school so i only (may) have some old bookss that covered thesee topics

[hoary knot]

guys lowkey is this viable?

i feel like i need to change my study strate

im boombing my exams

[vivid reef]

Wheres the general chat

Also who's the owner

[glacial raven]

is theree a program that sieves through some high levell problem to find the holess in your math? and then brings you to thosee problems to review

or part the fun, is figuring the holess yourself

guesss it is blatantly obvious, if you take a quiz and get a problem wrongg then that is a hole ...

[plucky temple]

Hey,is there any physics student who has a good understanding on the electric field intensity concept?

[green terrace]

This is a mathematics group, not a physics one. Go to discord.gg/physics and ask there.

[signal bay]

#discussion and ratgirl is the owner

[vivid reef]

I don't have access to it

Om

Ok

[signal bay]

You do?

[vivid reef]

Nope

[signal bay]

Oh turn off studying

[vivid reef]

Okay

[signal bay]

,iamnot dying should work

[queen trail]

hmmm

[ripe wasp]

Hi! I'm here because, frankly, i have no specific questions. I just need help in general
I am in geometry with statistics, CP

For starters, My math teacher is a twat. we arent allowed to sit down or ask eachother questions. We must ask the teacher.
We get new seating every day. Its randomized ( except its useless because we arent allowed to talk to eachother)

I asked him for help and his exact words ( while privately in his office were) " That's not my problem. I'm teaching perfectly " .

His teaching style isn't working for anyone in the class. The highest grade on the recent trig test was a 32%.

He 'teaches' By writing what we are learning today on the board, then how to do it- but dosen't define anything. ex: he'll write SohCahToa on the board with no explanation. ( He dosen't answer questions, either )

Our weekly schedule in his class is: Monday: Learn new subject : Tuesday- Quiz. Wendsday- practice Thursday- Test Friday- busywork

There is nothing i understand. I am failing.
I am looking for any help i can get- be it already completed math with work shown, notes from someone else- little tips.

Anything helps.
Thankyou.

-# please ping me

[true tendon]

What exactly are you studying? I think I can help you out a bit.

[ripe wasp]

Inverse trig and special right triangle theorems

[patent valley]

Hello, I am soon graduating high school and going to study abroad. My concern is that I can understand mathematics in my native language (Indonesian) but still can't understand the mathematical terms and concepts (even basic ones) when it's in English. Is there a sort of fast paced rigorous resource for this type of situation?

[dusky ether]

what degree are you planning to do, a math one?

one thing that personally helped me a lot is actually being in this server and helping others! you get exposed to lots of english terminology here and learn how other countries teach math

idk about any courses tbh but youtube videos also help a lot too

[patent valley]

computer science

[patent valley]

mmm that makes sense

[patent valley]

what are your opinions on using books

[dusky ether]

like math textbooks?

i dont think it hurts but there's probably an easier way. if you know your course literature in advance I'd get the book and skim through it to find terms you don't know

googling and translating gets you there like 99% of the time

[patent valley]

still waiting for admissions sadly 😭

[patent valley]

understood thank you :D

[dusky ether]

of course feel free to ask in help channels if you get stuck

[storm jasper]

Wth, also i recommend khan

[compact seal]

Guy's I've been learning chain rule and it makes a lot of sense in why we would can't just get the derivative of the function without multiplying by something else.

I just don't understand why we need to multiply by the derivative of the inside function. It doesn't really make much sense to me.

For something like y = (x^2 +x)^2
sure we'd need to do

2(x^2 + x) (2x + 1)

but why the latter? Why does that get us the correct answer? I get we need to account for both rates of change (for let's say y between u, and u between x), yet why is the derivative used to get the answer?)

Is there any better way to get an understand intuitively, or any resources you guys would recommend? Already checks Paul's online notes

[stray notch]

Whats the best way to self study maths

Aka ace my exams at a high school level

[viscid thorn]

get a study schedule, do as much practice as you can, pace yourself, work on your weak points, don't stress

study in a quiet environment away from your phone with nothing but your texts and your notes in front of you for at least an hour straight; otherwise do whatever works to keep you focused

[stray notch]

Where do I get the exercises / explanations I should do. I have an exam in 50 days and it’s quite important and it has a LOT of topics and I don’t know where to start

[viscid thorn]

best thing is to start working through a textbook at home to backfill what you missed in class

just googling things can lead you to nice explanations, if you're only doing hs math khanacademy has nice structred learning with exercises ofc

[stray notch]

Any books you’d recommend?

For example one of the topics is trig

[viscid thorn]

what curriculum?

[stray notch]

Uhh let me send you the topics i’m in a german school system

[viscid thorn]

ah, i see. you might find the best help asking your teachers about that

[stray notch]

Algebra and equations (linear and quadratic)
• Rearranging formulas and solving for a variable
• Proportions and direct / inverse proportionality
• Percentages and interest calculations
• Linear functions (equations, graphs, slope, y‑intercept)
• Quadratic functions and parabolas (vertex, roots, interpretation)
• Plane geometry (angles, triangles, rectangles, circles)
• Pythagorean theorem in right‑angled triangles
• Basic trigonometry in right‑angled triangles (sin, cos, tan)
• Solid geometry (volume and surface area of cubes, cuboids, cylinders, pyramids, cones)
• Scale, similarity, and technical / scale drawings
• Reading and interpreting diagrams (bar charts, line graphs, pie charts, etc.)
• Data and statistics (mean, median, mode)
• Basic probability (events, outcomes, relative frequency, tree diagrams, two‑way tables)
• Multi‑step application and modelling problems

Basic stuff

[viscid thorn]

oh cool, any igcse-level or a-level text should cover this, i.e. any pearson textbook

i've found some of the exercises on physicsmathtutor to be very good, they come in the format of test papers usually

[stray notch]

Physicsmathtutor?

Is that a website?

[stray notch]

How long do you think it’ll take to work through the entire list if your foundation is already solid

Or is that something that cannot be predicted

[stray notch]

Found it

[viscid thorn]

not so long then, it'll be smooth for you

[stray notch]

Thanks a lot for the advice

[viscid thorn]

best of luck on studying! if you need more specific book recommendations try #book-recommendations

[barren remnant]

Is self studying Stewarts calculus good?

[junior umbra]

that's what i did lol

[barren remnant]

Nice nice!

I'll consider it once I meet the pre-requisites and can pass the knowledge tests in the early pages of the book.

[storm jasper]

U could get away with just doing khan academy

Just sayin

[barren remnant]

Tysm!!!! I really needed to hear that, I have doubts of doing over 500 pages when I can just do Khan Academy.

[storm jasper]

Well i dont think its worth spendinf that much time

I feel like lin alg u might have that excise

[barren remnant]

Tysmmm again, that's DEFINITELY what I'll do, because I already plan on taking a course on it in college/uni and so I'd essentially be pre-learning it right now.

[storm jasper]

U should read textbooks when u get to analysis

[barren remnant]

That one sure!

[storm jasper]

If u keep up a pace of 10 pages a day u could finish a book in 30-50 days

If ur consistent

Of course shit gets hard fast

[barren remnant]

That's nice! I feel like sometimes I do 5 pages a day, or even like 5 pages in a week...

[storm jasper]

Like alg top and alg geo is lowkey kickin my ass

Even with prep

So like

Just keep thinking

Just leep doing exercises

Ur gonna get better and it comes easier

[barren remnant]

Indeed indeed

I really appreciate it

[storm jasper]

Yeah

[barren remnant]

Thank you

[storm jasper]

Just start being consistent. In fact once spring break started ive only skipped one day (i still dtudied for 2 hrs). But like yk u have to make anhabit

Like after i shower before bed i study for like 4-5 hrs striaght

And usually when i wake up

In the day i normally just bedrot though

[barren remnant]

Yep!!

[barren remnant]

Is it bedrotting though when you've been doing something that at least to me is really admirable which is studying advanced math every single day?

[storm jasper]

No i just think im being extra lazy

I think i realized that

If u just show up and be consistent

And focus when u need to foxus

Aka lock in

U can be lazy and bedrot the rest of the day

I shouldnt be lazy

I mean my lazy terms is usually just doing a quick workout and skincare routine

[barren remnant]

Yessir!! I've been locking in on Khan Academy for the past 2 years and now I'm nearly ready for pre-calculus on it.

[storm jasper]

How many hrs a day

[barren remnant]

Lemme check

[barren remnant]

In a certain week last month I did this many minutes

idk other than that. Sometimes I do 0 minutes, sometimes even multiple hours I think

I get busy with procrastination

[storm jasper]

Check ur total

This is my total, and my account is hella outdated….

[barren remnant]

8000 minutes

[storm jasper]

Damn

[barren remnant]

2 million points!!!
I have like 550k, I made my acc more than 4 years ago.

[storm jasper]

Lmao

[barren remnant]

[storm jasper]

I was a sweat back in the day

Am not now lmao

[barren remnant]

that's fine!

I really wish that 8 year old me just grinded Khan Academy consistently

[barren remnant]

Idk why though, math itself isn't going to change and so my race to know it doesn't matter as much as actually understanding it which I feel like because I'm older now I have a deeper conception of all math topics that I know so far.

Knowledge has no age

[pure lichen]

Hi guys, I am self studying from stewarts calculus currently. I have the late transcendentals, 9th edition, metric. I am just finishing up chapter 4 on "Integrals". It has been about 11 weeks since I started.
I am fine with the pace I am going at, I enjoy the subject, and I enjoy the studying, however I realise I need to learn HOW to study from books properly.
So I would like to ask, what is the best method to study from textbooks? I have been writing notes in notebooks for each subchapter, and I have been writing questions and answers for each subchapter in other notebooks. I feel like there is a faster way to do this all without spending so much time.

[barren remnant]

Someone recommended to me before when I said I wanted to study calculus from openstax to not try to do every exercise but more like only 3-5 from each lesson, if that helps.

[storm jasper]

Wait that was me

[pure lichen]

ah I think 3-5 wouldnt work in this case. I like Stewart because he has lots of excercises. If i dont fully understand the contents of a chaper, I can fix that lack of understanding by doing as many questions as needed. I read every sentence in the subchapter and write notes for explanations and theorems I consider important, I suppose I am worried that I am finding too much "important" and therefore spend too much time writing notes

[storm jasper]

I mean refwr above what i said…. But yeah u might be spending too much time. I mean its good to master everything buttt

Idk for me specifically i did exercises until i got 4/4 3 times in a row and that was enough

But yeah soend enough time actually understanding the theorems

[pure lichen]

hmmm. I think I probably am getting overly anxious about whether I understand what I am doing or not then, most likely due to imposter syndrome due to self studying. As in, the fear of "what if im stupid and im actually understanding none of this" and doing lots of questions to ensure I do understand it. and then of course all the notes I am writing.
Do people say that flashcards can help when it comes to maths? for remembering definitions and theorems and whatnot

[barren remnant]

Wait really? I thought it was cats

[storm jasper]

I reccomended stax but idk who cat is

[storm jasper]

Ummmm just set up a rule: if u can do a problem (similar concept) 3x in a row ur good

[storm jasper]

It kinda does help? I just review notes or do exercises to use those said theorems

[pure lichen]

I do not feel like this will work. Looking back, if I did this for chapters like "what derivatives tell us about the shape of a graph" id have remembered none of it and been struggling now.

[storm jasper]

U need to use active recall and testing effect + spaced repetition for everything youve learned

Ur probably not reviewing it

Also

Ik its hard

Like “why am i messing up”

Think instead like “this is just a small step in my journey”

<@&268886789983436800>

Yo cloud

[pure lichen]

A lot of the material in this book depends on previous chapters and their subchapters so I dont think too much review is necessary.

[storm jasper]

Too much key word

Still review

[storm jasper]

Id agree but like

Remember this

I learned deravatives like 4 yrs ago or something

Maybe it was 5 idk

Point is, when i reviewed it durinf like a proof for like arc tangent and stuff

I didnt remember how to do it

[pure lichen]

okay yeah true sometimes i still forget how to differentiate trig functions 😭 and i covered that like a year and a half ago (self studied a level pure just doing stewart for more rigour pre uni)

[storm jasper]

Also i completely forgot usub just because i havent practices it even though one or two practice problems would’vep helped me get clarity back

[storm jasper]

How old r u lmao u remind me of me when i was yoonger

[pure lichen]

okay you got a point, I just get laser focused on what Im currently practising and its probably moren harmful than anything (although enjoyable)

[storm jasper]

Well yeah but if u are laser focused but u still fail because not reviewing a topic isnt that a bit of an issue

[pure lichen]

21. I dropped out of college twice (not sure where you are from but in the UK college is 16-18)
    foundation year at uni I start this year

[pure lichen]

oh not I woudlnt say im failing. Just not going at the pace I want.

[storm jasper]

🫡 gl bro i know u got that

[pure lichen]

haha thanks mate I appreciate it

[storm jasper]

Or like being bad a few problems its all just practice

Uh omni hai

[storm jasper]

U just gotta keep pushing. Like i know it might seem hard and u wont make progress. Thats kinda what i felt like during the beginning of calculus. And honestly every others. The difference was i was consistent and i used semantic encoding in order to understand the topic at a deeper level

[pure lichen]

what is semantic encoding ?

[storm jasper]

Google, but basiclaly what it is is understanding ur topic or whatever at a deeper level

Sort of resonate with it

Well

Try to apply the topic to ur life

[pure lichen]

that sounds interesting. Thank you

[storm jasper]

Im glad u enjoyed my ted talk

[dapper mango]

Can someone give me tips on how do I improve in maths im cooked

[red rapids]

Do more of it

[scenic shuttle]

Usually it take a lot of practice

As someone who was doing pretty badly in math before, I improved a lot through practice, but my professor is kind of making things confusing even though my method works

[lapis tundra]

ye its mainly ratio and proportion

i think thats my weakness

@ruby gorge

[ruby gorge]

Yo

[lapis tundra]

.

[cosmic pike]

What if the partion has elements a and b such that [A]={x belong to A| x~a}
[B]={x belongs to A|x~b}
Where [A] and [B] are unique equivalence classes

Is this statment still true with that

[tropic void]

Yes the statement is always true

[cosmic pike]

What if partition contains a and b such that

[cosmic pike]

Such that

[tropic void]

Still works

[cosmic pike]

So like partition can be union of 2 equivalence classes

Ok we can take [A] and [B] as equivalence classes that only contain a and b then the union of [A] and [B]
Is equal to Ai={a,b}

Is this correct ?

[heavy needle]

Partition iff Equivalence Relation

That was one of my first pure math exercises

[weak geyser]

same

[junior umbra]

fundamental theorem of equivalence relations is so useful

[normal sleet]

Whats that

[junior umbra]

equivalence relations = partitions

[normal sleet]

Ah

[rocky terrace]

probably the fact that there's a 1-1 correspondence between equivalence relations and partitions on a set

[normal sleet]

I see
Never knew people gave that a name

[rocky terrace]

I've never heard of it refered to as the fundamental theorem though

[weak geyser]

i've heard of that before

[crimson elm]

That's a theorem?

[junior umbra]

it's in my group theory book lol

[weak geyser]

i usually hear it called "exercise 1.1.1"

[crimson elm]

I thought it was just an obvious fact

[junior umbra]

it's called precisely that

[normal sleet]

Its obvious but very useful at least

[junior umbra]

wait not that one

[normal sleet]

I can kinda see why its called a fundamental theorem

[junior umbra]

this

[weak geyser]

yeah

some fundamental theorems are easy

[normal sleet]

Though a lot of theorems get called fundamental for some weird reason

[rocky terrace]

like fundamental theorem of arithmetic

[weak geyser]

like "fundamental theorem of homomorphisms"

[rocky terrace]

🥀

[weak geyser]

aka 1st iso thm

[junior umbra]

me when i implicitly use fter to construct something

[weak geyser]

1st iso is really handy

i used it today

[junior umbra]

lowkey 1st iso to me...

[normal sleet]

At some point you stop thinking about it as you use it

[weak geyser]

yeah its pretty clear once you see it

[rocky terrace]

yk books should talk more about equivalence relations generated by some relation

[normal sleet]

True

[weak geyser]

topology books often do

[rocky terrace]

it comes up in intro alg top or even intro top, and I was bamboozled when I first came across it

[weak geyser]

when discussing identification

[rocky terrace]

I'm saying intro books should do it as well

[crimson elm]

First isomorphism is just saying everything is linear algebra

[normal sleet]

It also lets you construct the pushout and coequaliser in the category of sets

[weak geyser]

i learned groups before vector spaces so for me it was "everything is a group"

lol

[rocky terrace]

How?

[normal sleet]

[crimson elm]

Some UA mf will say wild shit

[normal sleet]

Yeah the first iso is just A/congruence relation ~= image

[left yacht]

i have never heard of that phrased as the fundamental theorem of equivalence relations

makes sense though it's a pretty fundamental theorem

[junior umbra]

we like implicitly using fter

[left yacht]

no it was a theorem in my abstract alg book it just wasnt titled fundamental thm

[weak geyser]

same

[junior umbra]

in my abs alg it is fter

[weak geyser]

it was the thing before they introduced maps

[crimson elm]

I guess it was mentioned in my numerical analysis class. That was the only good part and from there it went downhill

[junior umbra]

fter stands for "funny thing everyone reuses"

[weak geyser]

it is cool how equivalence relations, surjective maps, and partitions are interchangeable

[crimson elm]

tfw kernel vs cokernel

[left yacht]

surjective maps define equivalence relations?

oh shit that is true

[weak geyser]

yea

ig dont have to be surjective

[left yacht]

maps themselves do yea

[junior umbra]

surjective maps are equivalence relations ig

[left yacht]

a \sim b if f(a) = f(b)

[weak geyser]

but if you let $f: X \to X/{\sim}$ by $x\mapsto [x]$ then it does exactly what you expect

[mossy shadow]

lexi

[weak geyser]

you recover the equiv rel

[junior umbra]

group quotients are a funny way to simplify an equivalence relation

[crimson elm]

tfw

[normal sleet]

group quotients are basically equivalence relations that respect the group operation
Like if a1 ~ b1 and a2 ~ b2 then a1a2 ~ b1b2

[junior umbra]

yeah

[rocky terrace]

cohomology

[hearty briar]

Hello, I want to ask some of you guys tips about how to improve focus

Cuz I get wrong answers many of the times due to losing focus

I think some of the root causes are:

1. I won't be able to do it
2. I fear all of this effort just to be nothing
3. I wish I was smart just like others
4. I wish ppl like would just applause me and finally getting approval (I fantasize Abt this and no.3 during studies from time to time)

So yeah 😢

If I could ask for you guys tips or advice, i would definitely appreciate it! Thanks
And sorry for such long statement 🙏

[red rapids]

Easiest answer. Do what you like. Find ways to like what you must do.

If you enjoy yourself in the process of whatever it is you're doing, then you'll be focused no matter what.

Unless ofc you have a medical diagnosis suggesting difficulties in doing so

[hearty briar]

[hearty briar]

Does dopamine detox stuff also work?

[red rapids]

The harsh truth is that most ppl like to find excuses like this hocus pocus stuff in order to justify their failures. Most ppl laser in on things only when they like it enough to spend time on it.

[red rapids]

Huh

[hearty briar]

Nvm

Cuz I just heard about it from some yt videos to improve focus

[red rapids]

There's nothing you can do to improve it besides doing what you like. Like it enough and you'll spend more time on it. Spending more time on it will lead to focus if that time is sustained.

The exact mechanisms vary and there are methods to regulate activity but that's entirely dependent on the person. So there's no one size fix all solution besides doing what you like.

[edgy sierra]

occasionally focus on a small thing

[lament heath]

no

[heavy needle]

I wish my brain worked that way

[heavy needle]

Depends on what you mean, if the question is "is short form content rotting my brain?" The answer is yes, and holding yourself to a higher, less over-stimulated, standard will help.

If the question is "will stopping for X days magically fix everything and I can go back to normal life afterwards" the answer is no

[red rapids]

If you really enjoy what you're doing then your brain is mostly just gonna take you around related tangents. That's not inherently a bad thing. But if your brain drifts from the subject altogether into some thing completely unrelated then you should ask yourself whether you prefer thinking about this (possibly random) unrelated stuff for self stimulation more so than a grind that is not so rewarding on the first go around.

[heavy needle]

I think this advice might be better for someone with less severe ADHD than me

[storm jasper]

I have an extreme amount of adhd, usually i use the power of “very close deadlines” in order to force me to lock in

Well not an extreme amount but im jittery asf

[heavy needle]

I use those too. Unfortunately I'm 99% self study at this stage in life so I need different or adapted coping mechanisms

[storm jasper]

Im all self study btw that excuse does not work.

[heavy needle]

See you say that, but that doesn't make it a valid refutation

[storm jasper]

Ugh

Im saying its plausible

[heavy needle]

Manufactured deadlines are inherently less motivating than those externally imposed

[storm jasper]

So have a little faith

[storm jasper]

Heres another tip

If its cold or something

Go outside

[heavy needle]

I can't work outside

[storm jasper]

Thats not my point

Go outside

And when its cold out, think about your future, and what happens if you dont lock in

[heavy needle]

If distracted, get further distracted

[storm jasper]

That also works yeah

[heavy needle]

Also this method only works if what you're motivating yourself for has guaranteed returns

[storm jasper]

Okay, why are you looking for ways to poke holes in my argument like ik its wise but its a way to lock in which was your question

Im locked in to get into harvard

[heavy needle]

If I try to motivate myself with the consequences of failure, then the route I'm motivating towards must be 100% certain, or else I'll also end up demoralizing about the potential failure (of the plan)

[storm jasper]

Yeah

[heavy needle]

Then I just become demoralized

[storm jasper]

You do better on your exams and shi

Or you gain more knowledge, both which is useful

[heavy needle]

I don't have exams

And I don't have problems with stressing or studying for exams, those are easy

[storm jasper]

Oh right its the adhd portion

Focusing?

[heavy needle]

Directing and Motivating, yeah I guess focus is the word

Like I don't even play video games for large chunks of time as often

I tend to get distracted by road blocks

[crimson elm]

Doing math as a hobby is tons of fun. I never stop learning it unless of course I'm tired or sick

Now for exams lol it's very hard

[weak geyser]

i do wonder

like the math i learn is all for fun

i want to learn it, but i'm not being quizzed or anything

[crimson elm]

Also the thing with exams is you are doing it to get a certain grade or something

I do enjoy the process of doing the problem sets as a preparation sure

[weak geyser]

i want to go to university to study math, but i'm worried it will be totally different and my ambition will be crushed

[crimson elm]

But like it also hurts me morally when I go to an exam sick or something bad happens and I do bad on it

[weak geyser]

i'm worried i won't be able to hold up to the pressure of studying math for a grade

[crimson elm]

it feels like I wasted time preparing for an exam which ended up being bad instead of spending my time doing something fun unrelated to exams like idk work on my thesis

You can like literally understand nothing and still do really well on an exam

[weak geyser]

i'm technically studying math for a grade rn but like calculus bc is not the same as commutative algebra

[crimson elm]

<@&268886789983436800>

[weak geyser]

<@&268886789983436800> ?

thank

[weak geyser]

fr?

how do exams usually compare to like

exercises

[left yacht]

[crimson elm]

jesus christ

<@&268886789983436800>

[left yacht]

i mean for your calc bc class, can you not get away with memorizing a few formulae?

[crimson elm]

where are these scammers coming from

[silent tangle]

hell

[left yacht]

that was my friend could you unban him thank you

[weak geyser]

yeah i guess

but i thought it's different in uni

where you have to like produce proofs and shit

[wispy zephyr]

generally they're people who were already on the server and got their accounts hacked

[left yacht]

i mean obviously that's not fun to do but for me (i am also in high school) people always do that

[left yacht]

im also curious about that lol there are definitely exercises i could not do in a timed format

[crimson elm]

problem sets is where the actual learning happens

For exams, most of the time you just memorize a couple of things and hope for the best

[weak geyser]

(oh)

[left yacht]

ive heard professors usually choose reasonable questions for the exam (i.e., not the thought-provoking exercises that would take hours of thinking to handle) which makes sense

[weak geyser]

yeah like looking at the problem sets at the end of chapters and stuff

[crimson elm]

For my analysis exams, we have to memorize a couple of definitions

[weak geyser]

i couldnt do those in a room on an hour time limit or whatever

[left yacht]

loll yeah

[crimson elm]

We have to do proofs of course but the proof questions are also free if you memorize the proof questions which are going to come

[weak geyser]

is it usually testing you more on your understanding of the derivation of the material or your ability to apply it

[left yacht]

but doing stuff in a timed format is fundamentally different from doing math itself imoj

[crimson elm]

oh yeah doing math under time constraint is stressful

[weak geyser]

to do well on exams, do you need to understand how all the proofs of the chapter work

or just the results and how to apply them

[crimson elm]

It depends on the class of course. Best case scenario is all of my algebra classes

[weak geyser]

i'm trying to think of an example

[crimson elm]

They are fair so if you understand the material then there is no doubt you will do well

Worst case is numerical analysis

If you understand the material really well then it's not guaranteed you get a passing grade

Since the exam is mostly about testing your computational abilities

[weak geyser]

like in a group theory class, is it stuff like "prove that if G is a group such that X and Y, then Z must hold"

i know it would depend on the specific class

[crimson elm]

A standard question would be like

"How many groups of order 52 are there?"

"Given a group G and a group H. Define bla bla bla. Prove that it is a group"

stuff like that

[weak geyser]

oh dear

idk if i could do that

wait

oh theres a 4p rule

blegh

[left yacht]

(you'd also have time to review before the exam)

[weak geyser]

(this is true)

(i don't need to contain the full knowledge of every undergrad math course in my head at all times)

(but it's probably best to understand the general ideas and key theorems that help later on)

(like if i forgot cayley's or first iso that would be bad)

[crimson elm]

If you consider doing math in uni you will find the proof classes are more pleasant overall

[weak geyser]

i think i will do math in uni

idk how i couldn't

[crimson elm]

Yeah you probably will complain about some classes like idk stats or whatever but for the most part it's fun

[weak geyser]

i can't imagine not trying to learn more of this stuff

oh @left yacht how's your group theory learning going

[left yacht]

i paused it cuz im reading an analysis book rn

will get back to it soonm

i am at ch6 in artin rn

[crimson elm]

love how everything there is just number theory

such a good book

[left yacht]

i need to reread ch2 before i get back into it i think i forgot some stuff

[weak geyser]

peakkk

[hoary marsh]

Hi guys! Do you know any places I can find that have hard lines and planes questions?

for vectors*

[green terrace]

Any linear algebra textbook

[hoary marsh]

do yk any good ones?

okay sweet thank you very much!

[normal sleet]

Idk if planes and lines means linear algebra, it sounds like something out of multivariable calculus before the calculus

[icy zenith]

fuuuuck now comes the actual hard stuff 😭

[edgy sierra]

non-fundamental theorem of calculus

[edgy sierra]

think it does but it depends on the context

[normal sleet]

Depends if the planes and lines cross the origin

[heavy needle]

Homie said vectors so yeah

[icy zenith]

i've already reached the video of integrals. It's 5am, maybe tomorrow

i understood limits but l'hopital rule just flew over my head really hard

[frail sable]

How do I find the balance of studying and practicing?
My main goal in math is currently to compete in math olympiads, and I find myself at a dilemma:
Should I prioritize studying about new knowledge and theorems or spend most of my time solving old tests? I've been trying to find a balance, but idk how I should distribute my time.

I can't study new theory and do problems in my mind at the same time, i'm not a math comp machine yet

But yeah I do always keep my mind occupied with a problem, but actually trying to solve it is quite different

But i'd get in a loop of just solving problems and not learning anything new if I just focus on that

Keeping a problem lingering in my mind is a much smaller time commitment than actually trying to solve it with pen and paper

[pallid ferry]

Hi Guys year 10 here (grade 10 in Australia) I have to do a team investigation on a topic/project do you guys have any ideas? Last year some people did like comparing ev to petrol cars and some people did a Dyson sphere. You can do nearly anything but I’d prefer something more with numbers.

[subtle pollen]

you can look at other systems of numbers, like modular arithmetic, or many other examples of systems of numbers

gaussian integers

[pallid ferry]

Okay

Do u have like a specific topic name I could do

[pallid ferry]

Like what should I call the investigation if I did this

[subtle pollen]

just find some video you can understand about modular arithmetic

and see if it interests you

[pallid ferry]

I already know some

[subtle pollen]

okay

[pallid ferry]

But tyyy

I’ll look into

Lmk if u have any ideas

[subtle pollen]

I have ideas 🙂

you could try to learn the definition of a ring and then look at some examples

a ring is some collection of things that you can add and multiply, just like the usual numbers, but they dont have to be numbers

but you could also tell me what things in math you like and I can give you some more ideas

there are many options

[pallid ferry]

Alrightt thanks I’ll look into those first then I’ll see if I want anymore ideas

[pallid ferry]

This sounds pretty cool

Is it alright if I dm u later on?

[subtle pollen]

sure you can DM me

[hexed laurel]

A ring may be a lot for a year 10 project (depending on how advanced your year is/how engaged they are to learn group and ring theory)

Perhaps diophantine equations? Here, modular arithmetic is utilized in the study of such equations

Moreover, you would be able to build a narrative that leads to asking Fermat's last theorem in a presentation (not proving it, of course)

Here, AoPS has a good page to start you off (with example problems): https://artofproblemsolving.com/wiki/index.php?title=Diophantine_equation#Fermat's_Last_Theorem

[burnt drum]

anyone got a playlist for the whole mathematics topics from a to z
I'm trying to help my brother here

[scenic shuttle]

depends on what topics you need

if your brother is doing hs or early college math, you can suggest them khan academy

[pallid ferry]

its supposed to be a group project for a competition and we are encouranged to get outside help off the internet and others. I'm quite engaged into number theory stuff like modulo ect since ive been participating in math olympiads and go to lectures for it. I'm quite happy to dump loads of time into this but the main thing I'm looking for is a good topic that is creative and interesting enough to perform very well. so any idea helps. Ill read over the page you linked. thanks

[brazen stag]

Hmmm the fact that it's for a competition I think would color my advice a fair bit, as it means you want to appeal to a judge's sense of aesthetics (in math, that usually means narratives and data visualization, since mathematical elegance tends to be a bit less gripping than what your competitors may use). To this end, might I suggest combinatorial game theory? It's intuitively appealing, and there are often good pictures associated with the game states. The main downside is that you'd have to get a bit creative if you're also trying to make the case that the subject is useful or "urgent".

https://en.wikipedia.org/wiki/Sprague–Grundy_theorem is fairly technical, but its examples do a decent job imo at introducing the subject as well as its first major theorem (indeed, one which is quite striking and powerful!).

[pallid ferry]

it doesnt have to be useful or 'urgent' but the site says 'MTQ dares students to think outside the box and dive into the realm of creative and critical thinking. Whether it’s investigating real-life applications, delving into the world of statistics, or unraveling the logic behind mathematical principles, MTQ encourages students to explore the endless possibilities of mathematics.' so i don't think they mind what i do. I'll read what this combinatorial game theory is, sounds interesting. Thanks for your ideas.

[green terrace]

<@&268886789983436800>

[twilit mason]

@soft tangle we dont allow soliciting on this server

[hollow fable]

Any recommendations for studying better?

[scenic shuttle]

depends on what topic you need

[fresh hemlock]

any tips for sasmo guys?
I have sasmo coming up but the next day I have batch reshuffling exam since I'm also preparing for JEE

[hallow hinge]

Is anybody there from class 10th cbse i need some tips..

[wide crypt]

To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.

[fierce crypt]

no the ai strikes again

but it did his job right

[sharp arch]

How do you guys study for coding exams

[storm tide]

Code a lot?

[rocky terrace]

If it's one of those "yeah write code on a piece of paper" type ones, I won't even attend 🥀

[pulsar saddle]

theory or application?

[kind chasm]

Do u guys have any good methods to overcome procrastination

[signal bay]

You dont-

[kind chasm]

wdym you don’t bro

[barren remnant]

I just spent a few hours studying physics, and now that I want to study math I can't because I don't have enough energy, how do you study math without energy?

[crimson elm]

I sleep

[barren remnant]

What usually helps me with procrastination is just doing the thing by talking to myself and thinking about how I can do it, for example when I need to do some assignments I just stop what I'm doing and go do that.

[barren remnant]

Good idea, I'm trying to rush my progress towards reaching calculus by studying all of the pre-requisites, but maybe that's not the best idea now that I write it out.

https://tenor.com/view/poppiekitsune-sleep-sleepy-pokemon-eevee-gif-2151133880489722978

[brisk latch]

how can i focus more/get less distracted? whenever im in class im always just on my laptop while the teacher is explaining/giving a lecture, and ive been doing pretty bad on my tests cause of this, went from getting 90s to 60s

[rigid sorrel]

make a routine and force yourself to stick with it for some time
In a few weeks you will just start automatically doing your work at that place and time (it could take longer though).
Creating a little bit of friction between the working place and distractions could also be useful.
If whats making you procrastinate is boredom, then slowly start doing more and more boring tasks till you see that its not so bad (i.e. train your boredom resistance)

[kind chasm]

thank youu

[rigid sorrel]

If youre mentally exhausted then take a relaxing break (e.g. go for a walk, listen to some music). You cant really do math if you cant think

[rigid sorrel]

you could try taking notes on paper or building some friction between you and the distractions

[barren remnant]

Tysm! I 100% agree

[brisk latch]

my school is paperless and i dont really bring paper, and our work is online

[rigid sorrel]

If youre getting distracted without thinking, you could change the way you access the distractions. This breaks the automated cycle.
If youre willingly getting distracted, then you need to stop doing that. Ask yourself if the lecture or your distraction is more important. Working on your boredom resistance could also help. (just slowly do more and more boring tasks, till it doesnt feel that bad doing them)

If your browser is what distracts you, there are extensions that let you block websites (distract me not is what I use for example)

[somber ivy]

Hey guys, I am a Cambridge International A level (CIE) student, giving maths P3 and M1 this may/june. Does anyone have any tips? Particularly for M1 as I do not have physics. Any notes, channels or resources would be greatly appreciated 😄

[proper rain]

Using AI to solve questions and then doing related questions by yourself is a good method for preparing yourself for exams?

[junior umbra]

no

[proper rain]

You got any tips

[junior umbra]

not really

[proper rain]

Alright

[junior umbra]

i just know you shouldn't use ai (or at least lower use) because it is very usually inaccurate

[proper rain]

Using math gpt

It's pretty accurate, and it also explains everything

[junior umbra]

ok sure

if you want to believe that go ahead

[proper rain]

Alright

[dim sable]

hello is taking engineering mathmatics 232 & MATH 242 Introduction to Probability & statistics with university phy 2, and two major robotics courses doable? or is it better to take one of the math courses in summer? and what is engineering maths and probability and stats maths are they ez?

and what about differential equations and linear algebra?

[rocky terrace]

it depends on the content of those courses and the instructor teaching the courses

[somber ivy]

Relatable. Maybe at a higher level it stops working? But it works perfectly fine for me, If you're solving using past papers (which you should) then maybe try searching a solved version of your paper on youtube, maybe you'll find a channel which solves and explains past papers from whatever exam board you're giving

[edgy sierra]

generosity

[main trail]

I think I'mma fail alg 2.
I just can't get myself to study it anymore

[heavy needle]

<@&268886789983436800>

[storm jasper]

Alg top or

[barren remnant]

You got this!! ❤️

[rotund zodiac]

if you are looking for advice: take a break from studying, and while you're taking a break, brainstorm some ways to engage with the material that isn't what you are doing right now. most likely you're doing practice problems and reading textbooks - this is the way to study, yes, but try something that allows you to absorb the content without doing the same thing over and over.

e.g. make some flashcards of terms and definitions, prepare a very small talk where you discuss the proof of something in the textbook, create some mind maps linking certain conditions together (i.e. if X becomes Y with commutativity, then X -> Y and write "commutative" over the arrow). hopefully this will refresh your brain and help you make some new connections

[glacial raven]

maybe ask some friends in the class to study together

i believe in u

don't suffer alone, probably others would benefit from studying together

[delicate zinc]

does anyone know the best way to study math? my main problem is i can get all the questions right at home but on the test i forget everything and make so many dumb mistakes

[storm jasper]

Simulate the testing enviornment

[main trail]

Rings and fields

[proper rain]

We are talking about upper high school (Grades 10–12) level. The thing is there are 100+ topics

And in every topic, there are 2-3 different formulas

I know most of the stuff I learnt last year but I have forgotten how to do many of them and I have an exam in 3 months

[storm jasper]

Dummit + foote or

[main trail]

D&F yeah

[edgy sierra]

do integration by substitution then by parts

eliminating ln(x) should be priority here

and it shouldn't be hard to see how doing so leads to a nice simplification

also (2) is something you can show via mean value theorem

oh

"except at finitely many points"

[edgy river]

Guys i just passed my 12th n am looking into getting math n computing, can anyone pls tell me the curriculum, courses, n potential jobs i can get from from this branch?

[strong oar]

can someone doing a math degree or math at a university level answer a question for me? its about study techniques and what makes sense in terms of how to learn.

i got recommended a book about logic in the physics discord, because i want to ease my way up into graduate level mathematics. i was always bad at math, both in HS and during uni, but im starting to realize why. i honestly cant think of whyyyy it would be harder, as seem to not be lacking the structured thinking skills (i know how to code in c++ for example). one reason might be that i have bad anxiety arround math.

so im trying to do the excercises in this book and i get to this (bare in mind i know what set builder notation is):

We are going to write the following sets in set builder notation.
...
(f) F = {2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, . . .}.

I know the solution by now, because I peeked. But what am I supposed to do when staring a problem like this? fuck around and find out? trial and error?

i feel like if this had been in a real class, id have lost my mind because the answer wasn't obvious and there would have been pressure to perform immediately. what do people do here when tackling problems like these?

[red rapids]

If you know what the set builder notation is then the answer is in fact obvious. What you need to do to identify is to try and describe the set using words as opposed to listing out each and every element. What is the best way you can describe that? Then, how do you write that down using some math symbols like inequalities, equalities and what not?

[strong oar]

to me it isnt :/ at first it just looked like a random number sequence.

[red rapids]

Also, the set builder notation works in a way where multiple possible answers are acceptable.

[strong oar]

the issue is finding the expression that describes the sequence. at least to me it was.

[red rapids]

Entirely? You can definitely find some sub-patterns at the very least.

[strong oar]

yes. i did. im just wondering: how long am i supposed to start at stuff like this? what is a reasonable timeframe here and what am i allowed to do in the meantime? like, i think i would have eventually figured out this regards prime factorization, but assuming i need to solve this as part of homework, is it okay to get anxiety, am i supposed to picture something?

[red rapids]

As I already mentioned before. The question you should be asking yourself is why you're looking to get into it in the first place. Curriculum varies from place to place. One can tell you an idealistic standard perhaps. Jobs that open up can vary depending your exact skillset as well.

[strong oar]

i was trying to plot the difference between each index in the sequence as a graph, still didnt offer me a hint 😄

[red rapids]

Why are you so worried about the time frame? It's clear you're just seeing this stuff for the first time (or after a long time?). You are supposed to take your time until this becomes second nature. It's normal

At times it would be obvious enough to write in seconds. Other times you may confuse yourself for hours.

But you'll get used to it in a short period of time.

Practicing similar problems with a mix of some different things is often what helps in identifying patterns quickly.

[strong oar]

should i just invent the problems myself?

[red rapids]

Some may need more practice than others.

[red rapids]

That can be counterproductive. You can find books which have plenty of them.

[strong oar]

i do want to figure out if i can push myself to a similar skill level like someone that did a more math heavy degree. l

[strong oar]

hmm okay, ill try that then. ill report back when i make any progress

[whole wing]

If it's any reassurance, I have a masters in theoretical physics and a bit more than a bachelors in math, and it took me a while to figure out that it's about prime factorisation. Pattern finding skills are obviously important, but they're orthogonal to at least learning most of math. Not to mention that here it's just a set pulled out of a hat with zero context and hence zero intuition about the kinds of patterns the author had in mind

(Essentially I started by spotting these were multiples of 2 and 3, but then after the first few you get big jumps. And then it took some trial and error and an aha moment to figure out what's going on)

[red rapids]

I honestly didn't see anything there other than numbers whose prime factors are 2 or 3.

[whole wing]

And yes, sometimes the right idea just doesn't come, often because you're stuck in the wrong direction. Learning to change strategies and reconsider is very important, but also very hard for most people. It's often easier to do by leaving a problem and coming back to it later.

[red rapids]

But yeah, not the easiest thing to spot. I admit I've drilled such stuff enough as a child to have a good intuition but every now and then there's a stumper even for me which takes a while.

[whole wing]

As a rule of thumb, if you've just been staring at the problem for 10 minutes, you should move on

Of course, the goal is to try to reduce the "just staring"

Draw pictures, dry different approaches, etc. Learn how to approach a problem as systematically as possible, which include remembering insights and realisations from previous problems

There's an interesting little book by Pólya called How to Solve It which might give you some inspiration

[storm jasper]

Dam

[strong oar]

thanks, that actually is reassuring

[strong oar]

this is good advice, ill keep this in mind

[olive geode]

I still have no idea what the sequence is... Seems like a really crappy problem, I don't know what guessing sequences has to do with math

[rotund nebula]

I am looking for tips on how to do well on an accuplacer math test. Does anyone know what might be on that?

[whole wing]

(It's the set of numbers of the form 2^a 3^b. But yes I agree)

[storm jasper]

Do stuff related to the accuplacer test

Do problems related to that basically

[rotund nebula]

i figured its just the practice tests I have seem to easy to be entry level for engineering

its geometry and algebra 2 at max 98% of the time

[storm jasper]

Meaning like abstract algebra or

[rotund nebula]

kinda

i was just wondering if someone knows what might actually be on it that isn't taught in highschool

[storm jasper]

It might be abstract alg then, idk i feel like la works better for engineering?

[rotund nebula]

yeah

[proper rain]

I lost motivation and i have exam in 3-2 month

[crimson elm]

many such cases

[lean temple]

how do you guys organize all of your notes, guessing by chapter, do you do recall and review old notes / concepts / vocab stuff?

[gloomy ice]

hey guys

I feel like I'm losing my love for maths & just forcefully studying MO.I don't feel enough curiosity for maths IDK why

[storm tide]

MO = MathOverflow?

[gloomy ice]

MO=Math Olympiad

[storm tide]

Perhaps olympiad math is just not the kind of math that interests you? That's okay, it's not a requirement for anything to be thrilled by that specific kind of abstract gotcha problems.

[gloomy ice]

maybe main reason is that I'm studying Number theory, but I can't get ideas to prove things. I can solve questions. but struggling with proofs

[storm tide]

Perhaps just take a break, find something else to put your mind to for a while. Competitive math is supposed to be a fun way to engage your math interest, it it isn't fun for you to crack a problem, it will be counterproductive to force yourself to keep doing it.

[toxic shard]

can someone help me study this

[viral osprey]

Maybe #geometry-and-trigonometry or a help channel (see #❓how-to-get-help )

The help channels can be good for posting questions if you're stuck and need a hint.

[toxic shard]

i just dont know how to practice it

[viral osprey]

Well the general way to practice math is by doing exercises.

Do you have a textbook?

Most people get exercises to practice out of their textbook.

[toxic shard]

no

[viral osprey]

If this is for a class, then do you have access to old homeworks you can redo?

If so, redoing old homework can be helpful.

I usually just try to do a ton of exercises, work through practice exams, redo old homework and rewrite my notes.

Usually that's enough for me to be able to pass exams and stuff

[toxic shard]

alright

thx

[plush hedge]

what's the best way to get feedback on my proof writing
whenever possible, i would prefer being able to evaluate my own proof rather than getting feedback from someone else

so maybe a list of things to look out for would be nice

[short lantern]

Is anyone here self studying a college level intro to physics course? I tried joining the physics server but it requires me to verify my phone, and discord isn't allowing me to do that.

Also, I used to have a really good book for reviewing algebraic concepts but I forget the name of it. I may use ALEKS instead in the meantime, but if anyone has algebra book recommendations, please send them my way.

[low viper]

Hello! So, I’m currently self studying maths, and there are proofs which are confusing. Should I try to understand until I get it or take a break and revisit later?

[short lantern]

Both. When you're not understanding things, first work on it consistently, but once it's not fully clicking, take a break. Let it soak in the fats of your brain. Look into concepts that will help you understand— find out what you don't know. Then revisit.

[low viper]

Thank you so much!

[short lantern]

No problem! Often with progress in math in the beginning, knowing what you don't know is as important as what you do know. You have to know what you don't know, in order to figure out what's not clicking in a problem.

[rotund zodiac]

assuming you know your proof is correct and you just want to improve your style, i don't think there's a list of things that applies to everyone. instead, get a few external opinions on your initial proofs, so you can create your own list of things to look out for

but like, generally speaking, you're aiming for logical correctness, the steps in a good order (make an argument when you need to make it, not 5 years before), something that is simple enough to be understood by your peers. i'm also going to say good style and latex; if you have a big chain of equations in the middle of your paragraph, that's really hard to read vs. putting each one on a new line with align*

[rotund zodiac]

and you can open help channels here to do that :3

[smoky isle]

Hey, I don't have a math problem based question but rather something else. It's that whenever I'm solving at home even time bound, I'm able yo solve the question correctly even though it's complex which using calculus and different theorems. But when I'm doing a similar problem in the exam, I really don't know what's wrong but I never seem to get a single question right. My process is correct but I'm never able to reach the expected answer.

I'm really stuck on this and this has been my weak Ness for years now. Even in college(1st year) it's the same. The checking is even stricter so they cut half of the marks that I could get. If it's a 5 marker, I only get 2.5 cus I deviated from the xpected answer.

[rotund zodiac]

you could try simulating the exam environment so you get more comfortable with it. same time of day, similar lighting, on pen/paper, no other objects in front of you, etc.
and the idea is you trick your brain into expecting the exam environment

also, are you doing practice exams at home, or are you picking problems out of a certain chapter? because if you are on the "derivatives" chapter then you know the question is related to derivatives in some way, but on the exam there is no such hint

[smoky isle]

Yeah, makes sense. I'm doing topic wise. Since the process of the questions coming in the exam is same, the teacher asks us to solve the topic wise sheets given to us. Which have problems related to that topic.

Tbh, I really don't have much time left to solve entire PYQ papers cus I complete the syllabus till last day.

[rotund zodiac]

try to get a practice exam in then, or something else where you dont know the topics
and also try to sit down for the entire length of the exam - you dont want your brain to get tired because its not used to working for the full length of an exam

[smoky isle]

Alright, I'll try my best.

BTW, since GPA is not as important as it used to be, how much importance should I give to practicing and solving problems instead of upskilling in things that actually matter

[harsh ermine]

Anyone here experienced with Feynman's Technique?

I'm pretty new to it and when I try to use it on a new topic I'm studying, I constantly getting stuck on the explaining stage, because I keep trying to find a way to explain a concept that seem to link to another concept that I don't know and so I study that thing as well which lead to me struggling to explain it clearly as well and it just keep going deeper and deeper into a rabbit hole.
So am I doing it right? to try to understand thing deeply as I learn or should I try to understand it fully first then try it to see if there's a gap in the knowledge.

And maybe it cause I'm really new to this technique so I don't quite grasp it, but I find it taking very long time to try to explain thing in my own language and then trying to simplify it further take even longer, sometime it take even longer than to study it in the first place.
Is this a type of thing that I would just get better overtime and getting faster at?

[arctic blaze]

Good morning/good afternoon everyone, could someone help me with statistics? I'm in the 4th year of secondary school.

[plush hedge]

thank you!

[edgy sierra]

apply it

a lot

if you apply it to an integral while looking at the solutions, at least apply it to the function's general form

(2) will make you more familiar with similar integrals

[harsh ermine]

I meant feynman technique the study method not integration technique xd

[edgy sierra]

oh

no clue

[harsh ermine]

🫡

[rotund zodiac]

from a cursory read, that kind of seems like the point no? you start explaining it, then identify problem areas and refine your understanding of said problem areas. it kind of sounds like you need to solidify some underlying concepts before moving up

learning how to communicate math is a skill that takes time to develop and can be very hard at first, so practice will really help with that. try to create some "notes" for your presentation at least at first

[gaunt ruin]

mathematics is tough

i am doing first year of mathematics bachelor and I am getting thrown so many exercises at my face

prove this prove that

not even simple stuff at least for me its complicated

i feel like very tired after a couple hours of study

[floral musk]

what do you guys do when you are reading a book with no exercises

[outer rapids]

what topic are you reading?

[floral musk]

differential geometry

kobayashi and nomizu

[outer rapids]

pick a concrete example and play around with it

every time you get a theorem run it through your example and see if you can figure out what is going on

another good exercise is if you have a theorem, try and figure out which theorem assumptions are necessary and why

[muted steppe]

Oh no, I'm stuck

[pliant python]

Is it normal that I make errors in calculations?
How do you guys concentrate?

[edgy sierra]

yes

concentrating on a small object helps from time-to-time

[storm jasper]

Gl

[zealous hornet]

Would anyone have any advice for me. I am currently going through book of proofs, and I have found the first two chapters fairly intuitive. However, I have been struggling a lot with the combinatorics sections. I have done the topics in combinatorics before, however on a more superficial level. I have had to get help on probably 1/2 of the questions in this chapter, some of which I had no idea where to start. What should I do? Should I press on with the book and then circle back to the chapter to reinforce it another time?
Never really found combinatorics intuitive the first round of doing it either, I guess the only positive I have atm is that I understand it more than I previously did.

[storm jasper]

Go back to the very basics of conbinatorics

And think of the rules ig idk

[grave valley]

up to u and what u want out of reading the book. combo is one of those things u just have to work with a lot until u internalize it

i mean everything is like that to some degree but

theres not a lot of analogy u can exploit when learning combo like u can with other stuff

just gotta learn how to count

[proper rain]

In the exam, there will be 100 topics

Does someone have any studying methods

[viral osprey]

Are you getting stuck because you do not understand basic proof techniques or are you getting stuck because there are too many problems with slick little combinatorics tricks you do not see?

In the latter case I would say getting help is fine. Just make sure to write up a very clean proof after the fact that you fully understand.

Obviously you should not immediately seek out help if you get stuck. Part of transitioning to advanced math is learning to cope with being stuck and figuring out ways to push forward anyway

[zealous hornet]

I haven't hit the proofs chapters yet, nor the combinatorial proof section in this chapter. I do feel like I missed some tricks or key ideas for a question to answer it. For example this question, I first looked at it and I was confused with what to do. However, I now know that you rewrite 9^n as (10-1)^n and then use the binomial theorem, which looking back it pretty easy to do and now feels logical. I think there may be some areas which I could use going over again, but I feel some of the questions require sort of not so obvious techniques to solve them.

[zealous hornet]

I think that is an issue I have as well, I perhaps seek out help too fast. It just can get frustrating sometimes lol

[proper rain]

Anyone

[storm tide]

I think in many cases what can cause a kind of lockup here is if you're so purist that you look only at "Use the binomial theorem to show 9^n =" and expect there to be a systematic procedure that will lead you to discover the formula at the end of the problem statement from scratch.
However, you actually have all the information in the problem statement. Some of the psychological barrier is simply to convince oneself that it is not "cheating" to start with the sum on the RHS and try to pattern-match that to the conclusion of the binomial theorem.

(This is related to a common syndrome where students internalize the "=" symbol as meaning there is some kind of left-to-right process going on, rather than just an assertion that the two sides, each separately, evaluate to the same result).

[viral osprey]

A lot of tricks are really obvious in retrospect but really not obvious beforehand. In this case you've discovered that you weren't using all the information you had from what it sounds like. That's something to work on for sure. But it's not really saying much about whether or not you can prove things or solve problems in general. Just that in this case you found a blind spot you could have exploited for this particular problem. So, file it away as something to consider next time you're stuck on something lol.

[viral osprey]

Often times you only want to seek out enough help to give yourself a foothold to make progress from. It won't help to just read a fully written solution every time you get stuck.

[zealous hornet]

Yeah, I think that is an issue I have. Is this something which will just get better with time as I do more questions and gain more experience, or is this something I should consciously think about whilst doing a problem?

[zealous hornet]

Gotcha, I appreciate the advice for that. I will try and do better next time by not jumping to the full solution. Thank you!!

[storm tide]

To a large extent it is "just" a matter of unlearning a skewed impression of what math is that school education unfortunately tends to produce.
In school, unless you have extremely good teachers, you see only problems that are so easy that they can be solved by knowing the right procedure: Start at the problem, know the right steps and carry them out correctly, and you will arrive at the right answer.
University math is more about coming up with the procedures in the first place, or finding proofs where there's not even a procedure in sight when you're done. This can be quite disorienting, and many students a year or two to become comfortable with it.

[zealous hornet]

I am currently doing a degree in physics, but I am dropping out at the end of the year. I am currently self-learning all of this, and I think the mathematics we do in physics has warped my reality of what actual mathematics is and what it aims to do. Like the maths we get taught is all about using a method or tool to do x or y in physics, and it feels very procedural. It also feels illegal lol, the amount of times we have been told you can just assume we can do something or something is true in mathematics is crazy.

[proper rain]

Is khan academy good for studying

[rocky terrace]

yeah

[fleet hill]

yea it's great

[jaunty torrent]

Hi guys! This isn't a question on a specific problem, rather i'm looking for advice on how to prepare to take my first putnam as an incoming undergraduate freshman! I'm super interested in math as a subject and just finished taking Calc BC (which isn't very impressive compared to what's coming im sure) but I wanted to get a start on studying super early and maybe try to get at least like 2 points on the whole thing haha. Are there any courses or books/textbooks you guys might recommend/know of. i know this is super broad so any help really is appreciated!Hi guys! This isn't a question on a specific problem, rather i'm looking for advice on how to prepare to take my first putnam as an incoming undergraduate freshman! I'm super interested in math as a subject and just finished taking Calc BC (which isn't very impressive compared to what's coming im sure) but I wanted to get a start on studying super early and maybe try to get at least like 2 points on the whole thing haha. Are there any courses or books/textbooks you guys might recommend/know of. i know this is super broad so any help really is appreciated!

[raven kindle]

i looked up a PDF on putnam prep and found this that seems good: https://www.math.toronto.edu/beni/putnam/files/putnam_hints.pdf

It's actually not easy at all to get a nonzero score at all if you don't have any background; you definitely can try though if you have a day to spare! and prep would be good general prep for math undergrad anyway

Topics range between multivariable/vector calculus, linear algebra, abstract algebra, number theory, geometry

Quite a step up from calc 2 but maybe you can pick up the basics on a few of those topics over the summer

Familiarize yourself with proof-writing too because all solutions are in the form of proofs

which is basically what math is all about

[storm sandal]

can anyone workout real numbers

help e

class 10th cbse boards

chapter 1

is anyon even online?

[storm jasper]

Oh im literally doing this rn, same for me, incoming freshman, the goal is 50-70 points

[jaunty torrent]

yeah im tryna get started

[storm sandal]

hlo

[crimson elm]

<@&268886789983436800>

[signal bay]

What

[elfin fjord]

I have to be good im exacts, bc i am so bad in math btw, i dind’t remind the school subjects. How to like exacts and be good on this?

[storm jasper]

Spaced repetition + testing effect

[elfin fjord]

thx

[glacial raven]

I'm using anki to do some cloze deletions on definitions and theorems. my biggest difficulty is that I have low energy and don't feel like doing the problems

a while ago I used anki to schedule problems but that was misguided. I learned quite a bit but it consumed me

any tricks to psyche yourself to do problems? maybe put on a 'study' outfit idk hahah. Maybe wear a wizard hat

guess it is pretty simple:
Step 1 Turn off wifi access
Step 2 Open book to problem pages
Step 3 Work on problems and refer to book when struggling

I think it helps to surround yourself with others that are studying ...

your brain will be like, oh I am the only one not studying and then start conforming to their way

[dusky glade]

One trick is to study what you LIKE studying

[glacial raven]

but then I would fail the classes

it is true, what I liked studying I got the highest marks and had no effort in doing problems. I guess the more aligned advice is to try to learn to appreciate the problems / studying for things you aren't interested in - make it interesting in some manner so that you can stomach it.

[dusky glade]

Yeah 👍 📚

[crude siren]

guys how do i start a study routine im so fuhed up i come home and i doom scroll on tiktok n shi and like i have a 51% in pre-ib math grade 10 rn

[icy basin]

Hello

[crude siren]

and i have to do IB next year helpp

[icy basin]

Can some help me plan my freshman year

[icy basin]

Make studying comf and try to make it easy to do think why u doomscroll try to build a system where instead of being bored you doomscroll u study to build it u should make accessing study easier like put ur books in a place u could see that makes it easy to access

[crude siren]

ur smart kid

ur going places

[icy basin]

Thx

Ur nice to

[glacial raven]

uninstall the apps that you waste time on. start monitoring and setting goals for only 30 minutes of screen time etc

find friends to study with

find the smartest person that can tolerate you and study with them

[brazen mist]

start with uninstalling discord

[glacial raven]

i mean discord is nothing compared to tik tok as far as i can tell. haven't used tik tok

[brazen mist]

i waste more time on discord

[glacial raven]

another good tip is to start working for only 2 minutes and then hopefully by the end of the 2 minute syou can push through and keep going

[icy basin]

Also can someone help

[glacial raven]

so maybe just set the small goal of 'work for 2 minutes on math' every day and then see how long you can do it, keep track of records etc. make it a game

[brazen mist]

yeah, i agree with that

just start working

[icy basin]

Oh wrong thing

Nvm

[icy basin]

I meant help in this i replied to wrong thing sry

[glacial raven]

consistency is also more important than all nighters / long study sessions

(for the long term)

[icy basin]

Thats some james clearence advices

Sigma

[glacial raven]

ohio

[icy basin]

Btw can u help me to plan my freshman year

[glacial raven]

no

Well, what do you mean? like pick classes?

also are you in college or high school

[icy basin]

Hschool

Smh like that like picking classes how should i like understand or take the foundation like how does the system worm

[glacial raven]

it depends from school to school. My general advice is to study the foundations seriously and make friends to study with in your classes

As for what classes to pick, at least for me, when I went to high school they basically picked them for me aside from some things like music class

[icy basin]

I can tell about passions

[haughty forum]

@icy basin

u on?...

@glacial raven

[junior umbra]

pls dont ping other people

just wait for someone to come

[green terrace]

<@&268886789983436800> user randomly pinging others unprompted

[haughty forum]

how would i know if im new...

[junior umbra]

i mean

[haughty forum]

i ddint wanna cause problems

[junior umbra]

isn't that type of behavior unacceptable anywhere

[haughty forum]

i dont really know and i wont repeat it again

[haughty forum]

[green terrace]

Read #rules also know some basic etiquette

[haughty forum]

i dont really wanna argue but it says dm..

and as far as my knowledge i didnt wanna try to cause any disturbances

just wanted to get some algebra...

[glacial raven]

you need me?

[junior umbra]

he was just pinging random people dw

[haughty forum]

im getting reported for pinging...

[haughty forum]

wdym i wanted to ask the last person online

[glacial raven]

whatever, what do you need? ...

[haughty forum]

i wanna learn about algebra

[junior umbra]

waiting is better, there's a lot of people on this server that can help

[junior umbra]

what grade are you in?

[haughty forum]

im new so i dont really know and i apologised and said wont do it again

[haughty forum]

completed hs

[junior umbra]

ok

[haughty forum]

algebra from scratch can u help

[junior umbra]

abstract algebra?

[haughty forum]

linear please

[junior umbra]

oh linear algebra

[haughty forum]

and axiomatic sir

[junior umbra]

i suck at the rigorous version so i'm not qualified to speak about it

[haughty forum]

may i trouble u with asking which topic are u most proficient in..?

[junior umbra]

mostly abstract algebra

some field theory

about it

[haughty forum]

umm sir do u have proficieny/knowledge in geometry

and lmk any other things which i might break rules in..

[green terrace]

Friedberg Insel and Spence

or Axler (available for free at https://linear.axler.net) or Treil (https://www.math.brown.edu/streil/papers/LADW/)

[viscid thorn]

red pill/blue pill LADR vs LADW

[red rapids]

Axiomatic sir? Since when did an honorific get axioms?

[red rapids]

Common sense. Something that seems to be missing in early education these days.

[haughty forum]

me pinging others is more problemqtic thqn others using profanity?wheres sense in that

[red rapids]

I don't see where and how profanity came up over here. Pinging random ppl in a chat like you've already spoken to them and have some understanding is just weirdly inappropriate.

[haughty forum]

wanna see where i can show u tho and im new and i even apologised,i never spoke to them and was trying to initiate a convo the only thing inappropriate here is u making base less alligations

[red rapids]

I've not made any allegation* and I saw you apologised. I only replied to your strange af question because it is a matter of common sense.

[quick elk]

wait until you hear about lady lemmas

[main trail]

hi, I wanted some advice (copying from #math-discussion )

I think I'm taking *measure and integration) and metric spaces at the same time next sem, is that a bad idea?

I will also have LA2 and ODE next sem

[rocky terrace]

Bad idea in what way?

[main trail]

(a) would it be too much , typically
(b) is it a bad idea to do both at the same time in terms of missing insights

[rocky terrace]

There's not much intersection between measure theory and metric spaces

[main trail]

Measure is a graduate course, which is my only worry

[rocky terrace]

All you need is single variable real analysis to learn measure theory

If you are good with that, then you can handle measure theory

it also depends on the lecturer

So it'd be better to ask the people who have taken these courses in the past, or you can also talk with the profs who will be taking the courses

For a)

[main trail]

fair

thanks

[glacial raven]

I think I know the answer is just do more every day, but any tips on how to study more? I get tired after like half an hour

I used to be able to play computer games for like 10 hours as a child. If only I could put that focus towards studying math... I think I am onto something

but now I am unable to play computer games for 10 hours, it is tiring just like studying math is ah ...

maybe I am missing out on the social aspect of studying? if I had peers in a class I might feel more connected and that learning together would keep the motivation up

Also, I have no authority over myself to set hard deadlines, I think it is a lot of executive functioning that I have not been training ... interesting

[rotund zodiac]

if you get tired after half an hour, take a break after every half hour

[icy basin]

Guys

Can someone help me

[scenic shuttle]

just ask

[rocky terrace]

How much sleep do you get?

[glacial raven]

idk like 7 hours

[rocky terrace]

Not bad. Is it consistent?

[glacial raven]

yes

[rocky terrace]

That's good

[glacial raven]

diet is fine, exercise could use improvement, I take walks but don't do much more than that

[rocky terrace]

Well playing video games is not as mentally taxing as studying mathematics

What math are you studying now?

[glacial raven]

discrete math / proofs

[rocky terrace]

What do you mean by "tired"

[glacial raven]

my brain is like 'stop doing this' 'do something else'

'enough of this'

[rocky terrace]

When you are...reading exposition? or solving problems/doing proofs?

[glacial raven]

Yeah in total I don't think I study more than 30 minutes

[rocky terrace]

Well it's only natural to get some resistance when you're doing something new and out of your comfort zone

[glacial raven]

so I have very little endurance for solving the problems, and reading the exposition

right that is why I figure it is best to just try to poke more and more every day

but every day it is learning new things haha

[rocky terrace]

I used to as well, then I ended up overcompensating for it by working on a single exercise from an undergraduate book for days and even more than a week 🥀 which was unideal

[glacial raven]

ah well I believe in u

[frosty gate]

does somebody too ever just feel this, like u cant get urself to do things because of stress, like u try sitting down to study, plan ur day, but its just after 1 or 2 days the system feels toooo exhausting to follow? Are there any better study systems u can make in this case? (besides to do lists ,calendars, etc etc)

[winged crow]

A better question to ask would be, what is the stressor? And then try to find a way to avoid it.

[vital laurel]

i try to make systems that i can't possibly not follow

like, i tell myself. "seriously its only 10 minutes of studying a day cmon just open the book"

[storm jasper]

Uh yeah i get that all the time, basically what i do is rationalize studying or doing whatever, somethin like oh 5 minutes and usually that 5 mins is enough for me to lock in. Also you could probably just automate “planning” your day to get that stress away and honestly spread the activities that ur most excited with just general activities

[icy basin]

Hi

[proven hull]

Hi

[icy basin]

U probably have smh called ocd which i reppetvive cycle of obsessive ideas that pressure you and let you not be able tp atudy my recommendation is to try to seperate the feeling and do stuff that decreases anxiety like sports before studying etc

You should also make studying feel rewarding and dont study to proof urself to others make understanding hard rewarding maybe give urself a gift after u finish etc