#study-discussion
1 messages · Page 12 of 1
we take x a variable from the first set
I mean if we take x=-infini
No we will not take x=-infinity
infinity is not a number
we previosly said that a function takes only numbers
ok
So machine ( [give me here a number])=[ the output of the number]
ok
[the output of the number ] is a dependent on [ give me here a number]
this variable of the output is dependent on the variable of give me a number
ok
so the machine we name it f ; the input we name it x , the output we name it y
x belong to a set of numbers ,f(x)=y
But what mean y
x=5 , the machines gives 10..
Here like is f(x)
y means the result of what the machine f did about x
ok
because = in math means
It's exactly the same things as
It means that it's a the same thing exactly .
like myself = myself
ok
but myself =|= to you
Yes , So a function when it applies to a number it's like machine of bottle of jus (give the jus product)=a full botel of jus with the product
ok
if you do machine of bottle( chocolate)=a bottle of chocolat jus .
what ever you give It the function will link the product
inside the bottle
ok
Or like school of math (X:person non mathematician)=X mathematician
you give it frederic ,it gives frederic the mathematician
So the person is variable , the output is varying in function of the input
yes
ok
a sequence is a particular machine
were you only allowed to give natural numbers to it
and it gives a number
like Machine sequence ([give me here a number like 0,1,2,3,4,5,5,6,7,8,9,10..]) = I will give you a real number
ok
of course there's infinitely of sequences that you can imagine
but an exemple one is
that a sequence witch if you give it a number it multiply it by three
ok
like machine sequence [555 ]= 555*3
or a sequence that whatever you give it a number it gives you 1.6666
machine sequence [100000]=1.6666
ok
That's it then the sequence by testing it's reactions from every natural number you give it
you have that machine sequence [0 ] what it gives ? ,machine sequence [1] what it gives ? ;machine sequence [2] what it gives ?
ok
fellas i dont think this is an appropriate conversation for this channel
mc[3],mc[4]...
ok
This analogy is pretty funny
I should probably also announce that I'm now free from the sin(x) and cos(x) equation demons. I no longer have to graph them and make sin(x) and cos(x) equations based on two points.
I wonder what the next hard thing on Khan Academy is going to be.
I just finished Algebra 2 and I'm moving onto the Integrated Math sections.
Congratulations đ. Although, all formulas of sin and cos can be derived from the sum of angles rule and the definition of sin and cos functions. I'm saying this because calculus is going to require every trigonometric formula you know đđŹ
Cool
They can also be derived from the exponential definition of sine and cosine
Ye
Yes
,A function like a machine We gave it a box of Objets
and it gives us an other box of objects .
That's a very good pre-formal understanding for begginers
But after little by little It will be formalised ,f=(E,F,G)
as G included in E *F ,such as x in E , there's one y in F , f(x)=y.
and after for variables understanding there should be a pre-formal
like explaining various real world variables , than a bit cutting it from the concret context
then formalising that notion .
Do you mean stuff like sin^2(x) + cos^2(x) = 1?
More like cos^2(x) = (1+cos(2x))/2. This one gets used a lot
what if i derive it using a power series
or nah it's actually iffy to use a power series for this
I hope Khan Academy lets me review stuff like that before Calculus.
Yeh
khan academy is in-depth on trigonometry
It's fun to decode archaic language of a book with the modern view
whats the fastest way to learn math
Fastest?
We didn't know it . But to always have a plan
Having knowledge that gives you plans and multiple strategies
To solve a lot of problems
1/you study the lessons and take notes actively, ask many questions, 2/ practice numerous examples, rewrite the proofs of theorems, 3/and do sets of exercises in increasing difficulty from easy to hard. 4/ rewrite the solutions from an answer key, making them your own and reformulating them.
And for each problem make a to do list then organise into a plan that divides the problem a lot into easy parts .
So you follow process easely .
And for concepts go line by line
By asking clarifications and many questions
Because you should work them to know them.
okay thank you
Guys this is not limited to math. But whatâs the quickest way to memorise smth. Ik practising questions is good but other than that.
reading exposition, then doing exercises and asking someone when you don't know how to do a certain exercise
You don't memorize math, you understand it đż
Iâm not asking abt maths solely
Like memorisation in general
Why do you want to memorize stuff though 
It's not really a great way to learn something
If you want to remember things you've learnt, remember the logic behind it, that's way better than rote memorization.
Also nice pfp 
Mémorisation , there's Jim Kwik and some memory experts if you search their books+articles, masterclasses..
The technique is reorganizing data's
In a musical order
Or puting the informations with mental palace technique
Or a weird history .. by encoding
It so you when you decode it
To it's original form you remember it also repeat in spaced times .
Rewrite it a lot.
But when you associate a lot of meanings to it
There's a chance that you will not forget it.
Also having knowledge how to write
In mathematics for exams or when answering an answer
Is very important to never give epsilon chance
That he will diminish you in you're marks
Young man, in mathematics you don't understand things, you just get used to them.
Truth von Neumann
, searching non formal understanding
Isn't there.
He was 100/100 right and that
Réalisation about the truth reality of mathematics is very freeing
And unlocking a big potential
To work on whatever subject you understood or not
But as soon it's well defined
So you will not be limited .
A game of meaningless symbols with rules of logics in paper
That's what only mathematics is and that's where efforts should be concentrated .
And von Neumann historically was a formalist .
Yes
And for that there's a lot of rules to guarantee 100/100 mark
With the hardest corrector
In term of criteria of evaluation .
Introduction , middle, final of each answer to a question like an arguing text
And creating space in answers , and completeness logical validity and clarity of the reasoning
And writing with big words
squaring the final results to make them more clair, and saying witch tool or proposition to use before to use it
..
.but if we go in details there's pages to write about but search online.
Haha tyty ur ones also pretty decent
I disagree for some things memorisation is inevitable. For example in chemistry you have the organic synthesis map. Ofc you learn the concept first but u would need to memorise this. Also memory is a useful technique for example learning languages which doesnât require too much logique yk? Also I do agree rote memorisation is a passive way to learn but that goes for anything. I js wanted to know any active ways to memorise
. Also sorry if this was long 
Can you learn me please How did you work in mathematics?
I donât understand what u mean sorry 
I mean how you study mathematics?
I watch video explanations then do topic questions from easy to hard then practice paper
Why do u ask btw @lost drum
I asked to
Upgrade my method
Whatâs ur method?
- me I look for different answers to a problem
And I try to extract a lot of plans and ideas from witch
I can reproduce them
And integrate them in my knowledge .
Your method seems wayyyy better than mine 
It's by extracting a lot of processes and plans
Then doing them a summary
Also rewrite the answer that he did and complet it and reformulate it
.. and working for it to make it own and repracticing them
Thouse processes when you go to an exam
Whatever he ask a question you choose any plan
That you wanted
And you got 100/100 sometimes we skip
Directly for studying actively a lot of answers
Than trying to do problems .
Thatâs true but sometimes the method u use is limited for example for first principles topic in maths our exam only require us to use one method
But youâre still solving the problems arenât you?
of course you do 9 different problems
For a course but skipping to the answers
Is a bit faster
And we learn
More from it
Than trying to do lonely by being limited with our own habits .
Seek for alternatives from many people and have their knowledge and their work
You will probably find that it's better to immitate
Thouse who are more powerful than you than trying to create the new way of doing
Icc thanks for sharing 
I have a matrix algebra exam in 40 minutes, whatâs the best way to study? đ
All jokes aside, how do you actually remember what you study, it sounds dumb but my brain goes blank when Iâm stressed. And even if I can do all of the practice exams and questions at home, I still bomb the exam.
Iâm notoriously bad at straight memorizing things as well so remembering formulas and stuff is the main weakness.
Itâs obviously too late for my algebra exam, but I have a proofs exam on Wednesday that I need to know all of the theorems that we used in class, and Iâm scared.
If you have 40 minutes, then it's too late to study. Focus on getting awake and calm, and getting to the right location in time.
Hi , I have 1 question:
In the study of mathematical prooves
What is you're method to study the prooves of others ?
Make a list of all the theorems or flashcards of them, ask your friends to quiz you to state them randomly throughout the day
Flashcards work great for high level stuff and open ended math questions but if you use them for rote memorization, they are really detrimental to learning.
is some kinda passive learnin good
draw what you're proving
write down what's given and what you want to show
many proofs also need you to do some kind of trick
so it's also good to write down your strategy
hm perhaps giv sum example
proving the bolzano-weierstrass theorem is an example of allat
same with the intermediate value theorem if you prove it like bolzano did
you draw a closed interval
then draw closed intervals that are subsets of that
the strategy is to construct the interval lengths
here you draw the graph and a closed interval
đ
@plain mural so generally the best way to get good at math is to do math. "Talent in math" is actually just "interested in math" coupled with "practice in math" in my experience.
So looking at this, CBSE seems to be indian, and class 10 means that you're on your second year of secondary education.
yes?
So you're looking at probably subjects such as trigonometry and 2nd year algebra?
@plain mural have you seen this: https://www.khanacademy.org/math/ncert-class-10?
For me the best way
Is to know it's truth
And it's reality .
Gaston Bachelard say: mathematics is a set of acts not superposed knowledj .
By knowing the reality of mathematics
Everything will be very easy because you will base you're work
With the good plan and never one will
Arrive to that except the true researcherchers of truth .
Who knows the truth and are working with the truth they knew.
Frankly, that sounds like woo, and gaining attunement to the "true nature of mathematics," or whatever, definitely won't help you understand how to use trig functions to solve a triangle, or solve a system of equations, or a differential equation, or show a function between two groups is a homomorphism.
Me I believe that The truth of mathematics is a big game of symbols with the rules .I believe logicism and formalism
But I can be wrong
And mathematics is an experimental activity and a science fiction .
So when I solve a trig function
I will do it in the way my philosophical knowledj was .
Yes, it is, but what does that get you? That's like saying the true nature of life is chemical interactions between enzymes. Sure, that's true, but it won't help you explain anything about population dynamics of deer vs wolves. Or the breeding habits of moths.
It's a shortcut to pretending you understand things without actually taking the time and effort to actually understand these things.
Yes, but I have some confidence about jean Dieudonné, Hilbert and some big mathematicians.
Who were superior to me and worked very hard .
And other reason
: is that my knowledj of basical logics
That logical truths in math of all statements
Were pure formal and all mathematics is just
The combinaison of a set of axioms
That anything witch doesn't return to axioms in mathematics
Is absurd .
But meaning of those propositions is not appropriate to mathematics
So all mathematics is meaningless except if we attribute it .
Saying that all of mathematics reduces to axioms is missing the point. Of course it does. There are even multiple sets of axioms from which you can make all of mathematics. My point is you don't appeal directly to the axioms of mathematics when you're solving any particular problem. You appeal to the definitions of the given field. If I want to integrate a function, I wouldn't start from the axioms of set theory then construct the natural numbers, then construct the integers, then construct the rationals, then construct the real numbers, then construct the notion of a relation, then construct the notion of a function, then construct the notion of a metric space, then construct the notion etc etc etc
Instead I would use the definition of derivative, and the fundamental theorem of calculus, to compute the antiderivative, and solve the integral.
Actually, I wouldn't even use the definition of the derivative. I would use the derivative laws that are derived from the definition of the derivative.
The point is none of this comes for free with the axioms of mathematics. There are entire fields built upon these axioms and you have to know details about the fields that you are in. Simply knowing the axioms of mathematics won't help you.
@lost drum does this make sense?
Yes
truth .
But combinaison
Of axioms are limited with
And , or, no ..
So with thouse combinaisons and the axioms all possible mathematics
Is resulted.
There are foundations of mathematics that do not appeal to first order logic separately. My understanding is, this is one of the reasons for homotopy type theory being as popular as it is. It's a "univalent" foundation of mathematics. That is to say the first order logic is baked into the definitions of type theory itself.
But I could be wrong, and somebody will be along to correct me if I am
First order logics
Is the Microsoft in mathematics
It's more common maybe then
All others.
And then most of mathematicians
Have just a bit of logical knowledj .
Have you taken geometry?
No
Really? Did your school not offer it or have you not taken it yet?
Anyway, I would like to prove to you that the axioms of mathematics are not really relevant to most practical problems that you'll experience in mathematics. Even purely theoretical ones.
So I will tell you that it is a fact that, in a euclidean space, the sum of interior angles in any triangle is 180°.
My challenge to you is to prove it starting from the zf axioms And first order logic. You may take or leave the axiom of choice, your call, it shouldn't be relevant.
||You will find the task to be impossible, because formally constructing many of the elements that are required to prove this is well beyond the ability of anyone who is otherwise ready to discuss the angles of a triangle. This is why in geometry courses we talk about Euclid's axioms of the plane, because they are a far more suitable basis for most of the work we do in geometry.||
||And in fact, Euclid's axioms of the plane were the axiomatic foundations of much of mathematics for over 2,000 years, The fact that we constructed the axioms of mathematics on set theory is almost an accident of history.||
@lost drum ^
No but all propositions that I will use for the problem
=axioms+{and,no} connections between them .
If it's not defined above axioms it's absurd
It doesn't belong to our mathematical system .
The problem I gave you is possible to do, it just requires understanding far more mathematics than you understand.
I assume.
You would definitely need to be a 3rd year undergrad in mathematics to approach this problem with the level of sophistication required to give it a rigorous treatment. (And this is not something that we should require 8th graders to go through before we teach them geometry.)
(Because in order to define a space in which you can start operating in, you have to understand how to define spaces at all, which requires an introductory course in topology.)
@lost drum ^
(You'll need to define real numbers to handle the addition of arbitrary angles, and that's going to be in a real analysis course.)
(There's probably other things that I am missing as well)
Also, a minor point on this. It was proven in the 1920s or 30s by Godel that all axiomatic systems of mathematics are either incomplete or inconsistent (or both), so it is possible to find statements not provable in any consistent axiomatic system. I.e. it can be true and it can also be false, the system in question doesn't make a claim either way. This means we can choose it to be true or choose it to be false and add it as an axiom. For instance, the continuum hypothesis says that the cardinality of the real numbers is the 2nd smallest type of infinity after the naturals. This is independent of ZFC. Would it be absurd to claim it true and add it to our axioms, ZFC+C? Maybe, but then again ZF+C was a similar situation. Any axiom system is a set of choices made by people, they are not perfect.
I found Fourier Motzkin elimination on GitHub simple, and MIT licensed and rather recent, no more help needed. X E.
You are right
It's truth .but the proove of card (R)>card (N)
Is it not done with what is
Build by axioms ?
I remember the proove was well defined
But as 2nd infinity among all infinities is absurd for me .
I dont know if There is a set J, card (R)>card (J)>card (N) .
And then the propositions non constructed well
they are raricime and fastly corrected or avoided .
But you were right
About the weaknesses of pure logics ..
And thankyou so much @small salmon
And after
It has limits in applying mathematics
Like the non conventional models
And dimensional analysis ..
All is latter is formalised to axioms
Also the use of infinitisimals and so we can not reduce subjectivity in Mathematics in its historical origins is mostly immense and deeper tha n that.
As a sociological phenomenon .
The best works are not the most formal, generalised one ..
But the richest in being
the most useful and good and benificial for communities
Witch brings the best Life and in that the pure formal mode of thinking disconnected from anything is the most unproductive and non creative outside of the box .
How to not burnout every month? I would like burnout to be less frequent
Ok thank sir
@pastel meteor 28 is correct, how did you get 8 please reason your working so I can help you out
Open a help channel actually and ping me @pastel meteor see #âhow-to-get-help
This channel is for study discussions
Here's some ideas in the form of questions, but of course what makes sense for me might not line up for you.
- Am I taking on too much work? (If you are taking on too much work, then there's essentially no way to realistically avoid burn out.)
- Am I pacing myself correctly? (If you leave work for the last minute, then you spend a lot of time panicking and working less effectively, this also can contribute to high levels of stress and/or anxiety.)
- Am I taking breaks? (5 minutes for every hour, stand up and look at something else a little bit.)
- Am I hydrated/fed/taking care of my basic needs? (Sometimes, something as simple as a shower can help a lot.)
- Am I using my resources correctly? (Are you working in a study group? Do you mesh well with them? Are you working with your TAs or other course help?)
- Am I taking breaks doing things I enjoy? (Sometimes, recreation in the form of internet addiction/doom scrolling, can hurt more than it helps, and it bleeds over into your work life and makes you feel miserable. Remember, if screen time and paper time is work time, then maybe recreation can be novel time or board game time or if you're an extrovert then club time or something, I don't know what extroverts do.)
Come to think of it I haven't taken a shower and wasn't eating very good food for the last 3 days... Also I don't have TAs per se, just a person I can email my questions (since I study online essentially everything is self taught)
Hmmm, I need to change up a few things. Thanks for the suggestions âșïž
Do you prefer to do math homework in one sitting or sporadically throughout the day, assuming you grasped the concepts already?
Can someone tell what music should I listen to while studying? Should I completely avoid music while studying?
I generally avoid listening to music while studying, sometimes I listen to calmer albums with no vocals (some of nine Inch nails for example). If it's a boring repetitive task I need to slog through I listen to whatever
Oh, thanks!
Hello, i have to give calculus in a month and a half
is it adequate time to get a passing score
is there someone here who can help me with that/
on DM
s
yeah that sounds like single-variable
also i have another math subject called calculativ mathematics
are you sure it isn't an analysis course
i have several math courses to pass for getting my degree
calculus 1, probabilities and computational mathematics
the last one is very hard everyone in the school struggles
you need to be good at derivatives and series tests
so 1,5 time is adequate
given a 2 hour involvement with that
?
I have the Thomas book on calculus
should i need more?
around 2-3 hours but do the exercises
single-variable
Hi,
I didn't know how to manage my time
There's a lot of advisors and I dont know the best ?
Use time blocked timetables
Or use tools online such as notion to create a plan
Another tool I found very helpful is the Eisenhower matrix
Oh and giving rewards or future treats as a way to motivate yourself is also good
hk this should be pinned
Omg how do people even get to the point of burning out? I'm having the opposite problem, I'm not working hard enough, I'm taking too many breaks, getting sucked into yt shorts or whatever 
Please teach me how to burn out đ
"Not working hard enough, procrastinating all the time" is one of the signs of burnout.
How did I burnout by doing literally nothing all day long 
for months
I've never worked hard enough to burnout, for more than a few days in my whole life lmao
one thing that I am trying to implement right now, is just ban my phone
because a scary amount of my time every day is lost to youtube
what do people watch on yt
Same!
Nothing useful
at least if you're talking about me
I can't outright ban my phone, but I think I should ban youtube and discord slowly
Because I need it for communication and stuff
discord is not as bad
in that case have you considered uninstalling youtube?
youll still have access to it on your browser
What a wonderful idea
let me do that rn
I did disable youtube earlier but then I installed it again because I thought I could control myself 
You when you're in a "who can have the least self-control" competition and your opponent is me: 
Woah congrats!!
donuts are good
T^2
Damn, I blocked YouTube today, and started studying with the "only a few minutes" mindset, and even though this usually doesn't work today it did! I solved 2 exercises in 70 minutes! Happyđ đ!
When that stuff continues for months I think I would consult a doctor... But idk I'm not a doctor in the first place đ¶
I just hope you're okay man


Thank's so much
have very big feel of will and emergency toward the task by it's concequences if it's done or not done .
divise the task into steps and start with little part of it .
,repeat Saying for yourself do it now , do it now , do it now ..
then attack it whatever the situation .
use 10 minute rules , when you want to take the break about you're task
move it to 10 minute , when 10 minutes finishes turn it to 12 minutes ..
But you should have complet knowledj by clarifiying and thinking before , and verifiying .. for that you're work will be certainly well done
and you should have a plan from with to apply you're knowledj and in that it must be active not just passive when you acquire it .without a plan you will be confused with +infinity of possibilities and you will be divided much and have no guide but when you follow step by step you will have a real sens of progression.
finaly give a deadline for you're task
exemple at 2/5/2026 hours x it's finished .
Source: brian tracy :eat that frog , Nir eyale :indistractable .

what will you say ?
say to what
About the advices I gave to nemsis ?
i am not a part of this conversation
đ„č
Can anyone teach me algebra
^ joke answer, do not take this seriously
delete youtube
delete instagram, discord, etc.
no not slowly
do you have anyone important on discord
idk about you but i have everyone in real life on other socials
for YouTube, make a new profile and turn off watch history so it doesn't give recommended videos
and only use it for music and education videos
that reminds me when i had a crunchie bar on my desk while solving problems and my teacher thought i was giving myself a treat if i work through all this. i actually just wanted to eat it but i was getting sidetracked by problems. 
for someone not from a math background and self studying abotts real analysis im having trouble doing the problem sets. anyone have tips, it feels like im going at a snails pace
Nice. Keep going just don't stop.
is it suppose to feel like this lol, I cant do like half the problems without looking at solutions
alot of it is like wow thats clever
Same that happens. When you will go through more and more problems suddenly you will notice a pattern. (I think so)
for sure, thanks for the help.
Yup. Great day
real analysis is hard
especially if you haven't taken linear algebra or an introduction to proofs class
Yeah
At least make sure to spend some time thinking about eaxh exercise and trying
If youre stuck try to identify why youre stuck, like what exactly is the difficult point youre trying to achieve (for eg, i cant show this thing is the supremum cause I dont know how to upper bound the terms)
And when you do look at solutions try to see how they get around the problem
Over time you'll notice patterns and build your bag of tricks
Then it'll become easier
Also since youre doing analysis
Draw pictures, it really helps
self studying abbot too, like others said, you'll notice some patterns
try coming up with your own examples for stuff, can be quite helpful
Depends on the course, but is indeed hard if youre not used to proof based mathematics
Try
To learn logics
And algebra first.
Because the book of analysis is written with the language of set theory and logics
Like the caractérisation of séquences, integrals, supremum,infremum bounds..
So analysis is a spécial case of algÚbre.
And any problĂšme that you solve
Needs the proove of the solution
And for knowing what are valid and unvalid prooves
And formulation of hypothesis, conclusions ..
All of that belongs to logics.
And then what was in high and middle school
was essential to not only have the knowledj but that thouse skills must be in second inconscious nature in you
Without needing consciousness efforts with them .
But if you havent did many tasks befire and studird difficulties are going to increase .
So start soon from the basics or tasks will be very big for you.
And you should memorise not only the courses
But second nature inconscisnous skills must be repeted
To be fully downloaded or you will lose by time thouse algorithmes and automatism ..
So all is summed up in the two questions : have I complet knowledj and have I classical skills about my knowledj ?
analysis is just the study of whatever
it's the study of sequences, limits, continuity, spaces, etc
I think I finally got it, simplex solver from GitHub for linear inequalities, minimums and maximums by linear optimizing. X E.
Would anyone like to discuss how to project in 4d+ spherical or hyperboloid graphics?
Also, is there like a Gaussian elimination for it?
i mean
when i prepped for my IELTS back in HS, I used to study 8-9h a day, without ANY breaks, for the entire summer
no fun, no walks, no movies, no social life, no sweets, no nothing
had to do years of therapy and meds to get a tiny tiny bit close to where I was. still not fully recovered
burnout sucks kids
This is exactly how it starts.
Damn, everyone is sharing their burnout stories... Kinda sad that so many had such negative experiences đ
I got mental illness from the "
" I experienced in high school, and long story short I ended up studying maths as an online degree at my current uni.
Now I'm medicated and healthy at a level I can actually study approximately 2-4 hours a day, and though my life is not full of achievement, it is full of happiness đ
...is what the hypothetical me would say if I was completely burnt out , BUT WE ARE SO BACK BABYđ đ§ đ . THE GRIND HAS JUST BEGUN đ đ
Hi
We burned out well over a decade ago and after several years of abuse laid on top of it (before and after the burnout begun) alongside a burning hatred of maths planted within us by several people around us because apparently we were never good enough at it led to a lot of issues. Now we're unmedicated, barely surviving uni, and very interested in a lot of very random maths, so uh...yeah. It's lucky if we pick up a textbook for more than 30 minutes a day, most days it's just 0.
That's an unhealthy amount
wtf how
You did that many courses this semester??
That's actually awesome I hope they do this in my country too
How normal is it to forget basic math a sem or 2 after doint a course( say line integration)
and How do I avoid this
The problem is recalling the formula, I can do line integration, just given the formula
but for instance I didn''t recall it until I saw it
similarly I don't recall green or stokes theorm ( granted I've literally never used this other than in one exam, but still)
Ofcourse the excuse I have for myself is : You never really prove any of this, so it's expected you'll forget it soon enough
Forgetting details in a previous course you have taken already is T5
T5?
completely normal Hausdorff
but forgetting key theorms like greens đ?
Have you used it a lot in other contexts beside the course you have taken?
never
Repetition is quite important to retain the information
just in vector calculus
Would have used it had I done differential geo this sem, but I didn't
I forget most of the things I never had to use in research
But the things I regularly use have become second nature
That does, yes
Like I've done a LOT of LA , so I do remember a fair bit of it, and even if I forget something I can just derive it again
Thanks so much!
its normal, but its also good to revisit things you learned a while ago in more depth
often you will find that you learn a lot more the second time around
I do plan on revisting it over the next week or so
Know why it's truth
All mathematics of the earth was from people who were working very hard
Read the biography of leonard euler .
And each problem is like a tree
The group of hypothesis and tools are summed in the introduction
Witch gives one proove to the conclusions .
As soon as I left that calc III class I definitely could only do these with the formula in front of me as well đ
Finally completed Integrated Math 2!
I'm moving onto Integrated Math 3 before doing Trigonometry and then Precalculus.
Wow, impressive
Thank you!
What grade am I at roughly now... 11th?
I completed Algebra 2 recently, which I took in the 10th grade.
That I cannot say off the top of my head đ
@reef ocean
would u recommend switching from Notion to Obsidian?
I started using Notion non-stop 2.5'ish years ago, and I got soo much notes and projects and attachments and databases that transferring them to obsidian literally would take years
so ig only starting new projects from scratch or transferring really important ones
I've only tried Notion for about some minutes while looking for corporate-ish organization tools, it's great for that use case if you can pay the subscription, for personal organization it's not a bad tool but I like how Obsidian is way more customizable overall. I would recommend it for its flexibility and so you can own your data, rather than rely on a proprietary cloud service
my current setup is one big Obsidian vault where I keep both notes (which can be e.g. course notes, daily notes or just quick plaintext notes with no formatting) and .pdf files I'm reading, synced across all my devices with SyncThing which I strongly recommend https://syncthing.net, with the following plugins:
the workflow with these plugins is like, you can use Meta Bind to build interactive GUIs with buttons, text fields, etc.; bind these buttons to create files according to some template with Templater; then you can query specific files in your vault with Dataview
on top of that I use Tasks to well keep track of tasks
and the rest of the plugins are for more particular stuff, these four are the core of my vault I'd say
Obsidian recently implemented Bases though https://help.obsidian.md/bases I haven't really tried that out but it's an official alternative to some things implemented by these plugins
I think integrated maths are just algebra and statistics and geometry combined, so you could go straight to trig if you want since you already did algebra 2?
oh damn
Mata Bind sounds so fire!
gotta try it
thankies đ„°
I could, but I want to 100% everything on Khan Academy.
Oooo that sounds fun then, enjoy!!!! đ©·
Thank you!
You're welcome!! đ«¶
After Khan Academy, I'll probably use Math Academy or something like that.
Okiee!!!!!
My plans after that are either Number Theory or Topology.
Niceeee I would love to study those after calculus!
I don't think you need integrated math 1 and 2 to do Trig and precalc though
Also have you done high school geometry, that might be helpful as well
I would suggest real analysis before Topology 
Real Analysis?
Also, I've done High School Geometry before.
Technically twice.
Guys
what do you suggest for not getting stuck with the math when doing physics?
when solving diff equations and using fourier series stuff etc, or using approximations using taylor series to simplify certain equations
how to get the fluency for that?
I've looked up on mathematical methods books but they feel really dry
you can try analytic number theory when you finish calc with apostol's introduction to analytic number theory (later chapters of the book require multivariable calc but a good chunk doesnt)
usually you would want complex analysis background for analytic nt but apostol doesnt require that as a necessary prereq, ofc complex analysis background would be preferable but thats not a problem
Would taking discrete mathematics after multi variable and before differential equations and linear algebra be a good idea? To develop some mathematical maturity before those and higher courses
i am not really sure bc i have never seen a discrete math course, i hear that its bits of elementary nt, combinatorics, graph theory etc... It would probably help you with mathematical maturity, tho personally i would say that you can open a (proof based) linear algebra book like FIS and start a bit with it alone to see if you can follow or no.
The point I am trying to make is that you might not need to take a course in discrete math if the purpose of doing that is developing mathematical maturity since courses like linear algebra also serve as kinda an intro to proofs, ie proofs there are usually beginner friendly in the sense that they are written in full details etc.. (at least it should be in such a course in uni from what i know)
but i cant give you a precise answer because idk your background/abilities, yk what i mean. So the only way to more or less know an answer to your question is to try (proof based) linear algebra
i am saying proof based linear algebra because there are books on the computational side like strang's book
Iâm self studying and have taken up to calculus two so far; I am currently learning proofs with âHow to prove itâ Thatâs my background
if you are a math major and/or if you want to study stuff in pure math then you wouldnt want to use that
Sounds good
thats why use something like FIS
there are much more books too if you want, which you can see if you go the pinned messages in #book-recommendations and scroll down till you see a list of LA books
ohhh i see nice
yea then you probably dont need a discrete math course ig, you should presumably be fine if you get through a part of the intro proofs book (tho i am not sure since idk the book)
np! have a great day/night
Thatâs what I love about this server
You too,goodbye
yea, this server is very nice because you get to know good resources and also you get help (in the math you are doing) from others who know the answers to your questions
Provided you can mentally filter out the nonsense that shows up every now and then haha
sotrue
I know you definitely heard this, but fluency comes from practice, unless you are asking about something else?
I didnât understand if you wanted a technique to being able to do the physics problems easier or something but honestly even to this there really isnât
iirc since you are in hs then just do khan academy AP Physics
I'm asking about how i can train that fluency and get the practice for such physics problems
^ these stuffs
But these mathematical methods for physics books feel dry and more like recipe book
it's kinda impossible to rote learn and apply
my bad i couldn't be clearer
By doing problems?
Ye that I know
But I specifically want to train thise
these
People develop skill in solving problems by basically just spending a lot of time doing problems.
- learning/doing lots of math I guess.
You see tricks elsewhere and think to try them or you spend a lot of time bashing your head against the wall trying any old thing you can think of until something works or you give up.
It's good to think of how productively you are struggling I guess.
Productive struggle to me is not knowing the answer but still in the stage of just trying stuff (or having stuff to try).
Unproductive is when I've tried every thing I can think of, looked through my book and any other reference I can find and haven't found a single useful idea I haven't tried already.
When things get unproductive it's good to start talking to people and asking for help.
I can forward this
I also agree with this, but my method for unproductivitt is pretty sad
Idk what you mean?
When things get unproductive it can be pretty demoralizing for sure.
Usually most of the emotional part of it is frustration + physical stuff like being tired or hungry or whatever.
The frustration is usually not a big deal. The other things are also easy to fix.
Usually by taking a break, quitting for the day, eating food blah blah, depends on what you need.
Often after resting on things you come up with new ideas to try.
Well, I literally just got rejected from Penn. so when I feel tired or want to stop I force myself to keep going to prove to myself something (I know itâs very flawed)
Rejected for undergrad or grad?
Idk if forcing yourself or not really matters.
You just eventually run out of things you can think of to try if you spend enough time being stuck.
Undergrad
Ah that is a little bit disappointing but for math I don't think it's a huge impediment.
My undergrad was much worse than psu or upenn and I managed to get accepted to a grad school that I think is decent and that has people studying things I'm into.
I have also seen students from much much better undergrads than me in my program and they don't strike me as particularly special besides maybe having taken a couple more grad courses in undergrad.
Like what
Pretty small state school
I mean I just want to take my grad requirements in undergrad
Part of the purpose of undergrad courses is to actually certify "hey this person knows undergrad content"
Idk if outright trying to skip undergrad courses is always advantageous compared to just taking undergrad courses and acing them.
I don't think you actually even can skip grad requirements at my current school.
You'd have to take the prelims and intro grad courses regardless of what you did in undergrad here either way.
Other programs may differ.
I guess my point is you are wasting your time trying to optimize for requirement systems you don't even know that are multiple years away.
The purpose of undergrad imo is to learn a particular set of basic skills and to expose yourself to new math you might not otherwise see. The former being more important than the latter. So if I were you I'd frame things more with those goals in mind.
I am doing that now
Via self study?
That doesn't provide much in the way of assurance that you actually learned the things you claimed to have learned besides you vouching for yourself.
That is true
Self study to me at least is mostly just about getting good at stuff.
I do it for conceptually understanding stuff
It's helpful in school because it gives you a head start on stuff you may take later, provides connections to things you are learning and all that other good stuff.
Yeah this is good too.
Iâve kinda been interested in doing stuff solo tbh
Autodidactic gang
Tf is that
From the ug pov, somebody has to eventually submit grades that effectively say either "this person learned X" (or not).
It's not foolproof but there's an element of verification/vouching
I can do that by asking people In mathcord
Nah, that's not the same lmao
Like, when I grade people I have to ask myself "does this person get the thing they were supposed to learn here"
I have TA'd and taught lol
Then I have to assign a grade based on that
Eventually I have to submit the students grades for the class to the admin folk
Does self grading work if you eliminate the act of bias
unfortunately unis cant care about what you have self studied tbh, like they wont be testing you to check if you know what you claim you do and you dont really have a way to prove your claim
Like, I try really hard not to be an unfair grader, but I think it's literally impossible to be perfectly fair.
The feedback and evaluation coming from an outside source is valuable imo though
I mean the only way to prove it would be to write a paper thatâs factually correct 
unless you create a situation where you could show what you know in the presence of someone who could convince the admission team then you wont get anywhere
and idk if there is a way to create such a scenario lmao
Why canât I just send an email to a local professor
Say you do
With the exception of certain, generally low level classes, for which there are accredited testing organizations offering exams that are accepted as class credit in many institutions
And you send them a giant giga list of all books, notes and problems you've gone over. Does that show them much besides you being able to read and write?
What if the whole list is plagiarized?
well thats certainly a way to do it, if you could publish a paper in a journey then ig it would easily get you in as an undergrad 
What if they admit you and you can't pass the prelims?
What if I record myself writing a paper
Or like
Explain everything
Iâm not Mike from suits
Then what if this still happens?
More studying then
In my program two failed prelims -> you get kicked out
i mean sure if you can meet a prof and convince him/her that you know what you are doing then that would probably help
Iâm writing a icml paper with a friend but thatâs coding sadly
The "more studying" you can do is limited.
Well itâs conceptually understanding it right? Are you saying the prereqs like
So like if I take an alg geo class rn, but I donât have abstract alg taken
Then like
Would that count
ohhh i see, but does that enable you to enroll in the uni as a regular/full time undergrad student?
Like define it
I'm saying eventually you will be expected to perform on the spot (typically via actual tests) and people will be forced to assign grades to your performance.
Self studying is good. But people are trying to objectively evaluate students both for assigning grades and for admission purposes.
if by taking an AG class you mean an official class where you have a certificate then i doubt that the admission will care about whether you have a certificate with a class on AA or no lol
I really doubt it
the point is that you should have some kind of proof
Part of the issue is that grad courses are harder to evaluate than undergrad courses.
I have taken grad courses where you have zero obligation to do anything.
if you only have your words then that wont get you anywhere in the admission's eyes
With most undergrad courses there's usually some method of evaluation.
If only this was good will hunting
I guess self study prepares me for lower undergrad courses up to like abstract alg
do you still get a certificate/credits even when you dont do anything? tho ig there is at least a test or something like that?
I can study grad school topics (and I will before I turn 18) but it wonât be enough?
Just do your best to learn all the basic undergrad content, try and ace all those courses, try and get in a couple grad courses and maybe an undergrad research project with a prof.
In roughly that order of priority
Here they still assign grades for these types of courses.
Well any math you do will be good.
It's just that grades, admissions and bureaucracy are a clusterfuck lmao
ohh i see

yea thats reality, nothing can be done about that. If you have some relations with prof(s) in the said uni who can kinda influence the admission's decision then you might be able to do something 
Typically you do that by getting profs to write you good letters.
tho i dont have any basis for this but it sounds logical lmao
Maybe I should just go into business
Which means you took them for courses, did well in their course, maybe did some research projects etc.
It's not as bad as it sounds
Well I don't think it is.
vro you shouldnt overcomplicate things for yourself
if you want to do math then i dont see a reason to not do it from what you have said until now lol
just because you didnt get into this or that uni isnt the end
I donât want to deal with the technicalities of the math world
you could aim for a better uni for masters/phd
I just wanna explore
Fwiw my letter writers were my real analysis prof, my complex analysis prof and my abs lin alg prof.
The real analysis one I just took courses with.
i mean i dont think what was discussed above is restricted to math
thats how admissions work in general
The ca one I took a course with and did an (unofficial) pointset reading course with because my ug did not offer that in the ug program and I was at max credits
The alg prof I also did a summer research project on some number theory topic with
None of this is anything special. Like, I just did undergrad and got good grades, then I did a couple extra things besides that.
Since you are already starting at higher level math than I did when I started ug you can probably do more than I did.
Idk the math world is NOT what I thought
Wdym?
Iâm on analysis and point set top (will do alg too before 18 so yeah
Like
Idk
Lot of beefing
Weird to even enter the world
Lot of weird technicalities
Yeah, just make sure to not neglect the more basic undergrad topics and squeeze in as much extra shit as you can.
The vast majority of mathematicians I have met are very nice non-confrontational people
Except maybe a bit nerdy and reclusive.
I wouldn't let internet nerds decide what the culture is like irl for you.
I study two hrs a day on math, physics and random other stuff
I should lowkey study like
10 hrs a day
like rn i am in a trash online private uni because i was forced to get into it for reasons, and now i am planning to try transferring into a public uni which is really good. If it works then thats good, if it doesnt then i would have to continue in this online uni and there wouldnt be much of a choice in front of me. But thats not the end of the world lol.
if i just get depressed and give up or whatever then nothing will really change, i wont see the admissions of that uni telling me its alright you can get in even dw about transfer exam. Instead, life will continue normally and no one (except family and close people) will care lmao
Idk it depends on what else you have going on, what your needs are, what your goals are, etc.
Erdos worked 19 hrs on just math
yo guys
You don't want to overwork yourself or make yourself hate math.
lol real asf
I mean I feel like this is my only purpose
so just do what you can
I have no female and no one likes me besides a few close friends
I transferred from a small cc to my university. You got this. 
Idk if I subscribe to the idea that I have a purpose. I just like math lol.
At the time it feels important, but that doesn't mean other things can't/couldn't be important.
ur not eridos mate
the goat 
Erdos is also not a great example to base your life around.
yea things will probably work out nicely (hopefully)
tho i have to study for the language which sucks
You shouldn't even really try to be.
well he also put that mich work
because it wasnt like today
where we habve advanced technology, quick yt videos etc
I have worked jobs with some wild hours in which people have been overworked to the point of getting killed or hospitalized due to accidents while driving or things along those lines.
eridos didnt have organic chem tutor
That work proportional to todayâs technological advancementsâŠ
sure, because i am better than him fr. Once he was trying to be like me 
He studied nt bro
Your health is important. You aint gonna be doing much math if you wrap your car around a telephone pole and die.

You won't be doing much math if you overwork yourself until you hate it either lol
Have you heard of the saying
wait
Genius lies one story above madness
why do i have u added
ohh
bro
ur still in high school
ts cant be that deep
go do a sport
ts guy
But you want to also take care of yourself along the way!
Wait what where I say that
It rly depends
oop
You get my pt
Oh I forgot about that
Iâm still on real analysis cause Iâm lazy asf (this all changed with Penn rejection)
The story of the dead 
SpoOoOookkKkkyyYyy đ±
Goated screenshot
I just like manifolds and topology
And
Idk
Alg top -> hodge conjecture�!?!
What do you do to not hate math
LIKE
I think there's an element of that. But a lot of hobbies come with some fantasy of being this or that. Math is also just a fun thing to do.
I think the ppl that do it long term tend to be more motivated by things along the line of the latter.
The uni accepts them equivalently to transfer credits
Not sure if that answers
my original question was dumb so nvm
but yea that answers the natural question
Literally me yesterday I got like 6 hours of sleep (across 2 days) and had to drive 2 hours there and back both days and by the time I was on my way back I was falling asleep periodically
Miracle I didn't end up in a ditch blacking out so often
Yeah, it's best to avoid driving if you haven't gotten enough sleep.
You could hurt yourself or somebody else.
If it's real bad you can usually just pull over somewhere quiet for a quick nap.
There is no thing called a stupid question
well then my question was the first instance of this phenomenon
Doubtful
bro has not been in my hs classes
what are appropriate consequences for getting a B on calc
some of us studied a lot and they prepared well but they didn't getted unexpected results like you expect 20/20 mark but you get 13/20
points are loosed because of lack knowing how to write well solutions .
First :say what you wanna do like let's proove that f is integrable second :say what is gived , what are the data's of the question , give a reintroduction of all hypothesis , notations ,different variables in one word all it's objects of the introduction
third write what you will use like theorem of pythagoras ,criteria of riemann .
fourth use it but do a complet proove with all steps
until you get the conclusion you wanted .
When we say with all steps I mean if there's a big step divide it into a lot of substeps and substeps into subsubsteps ..
the more you divide it into steps chances are not to loose poits even if dividing it
infinitely is impossible .
Because absolute rigour is not a possible end but if you did that as far as you can with the time of the exam
you get a complet mark but it's better to follow the structure of a tree
By giving for each step a title 1 and substep 2 a title..
@unkempt gorge
What you will say ?
Uh
Care to give context
i want a deterrent to stop it from happening again
I have a question :
did you study in US ?
nope
in france ?
no?
In witch country ?
Ah
it's better .
đ„ł
I needed help :
Library of mathematics of this century is in exponentiation
What is the most important field and what are the most important books of mathematics ? and what is the most important goal ?
Well
Your gpa absolute tanks, if your going into math or any stem field then you might be a bit cooked for getting accepted to good colleges
im already in college and i feel like i shouldnt be here đ
who tf does this badly on calc while already in college???
im sorry for being stupid
What you majoring in
Ur not stupid bro
cs and math đ so i shouldnt be doing so badly
Well
One b doesnât define you
Of course it makes you feel like shit but
i should feel like shit
Bro
if i didnt feel like shit there would be a bigger problem
Well
Yeah
The act of not performing well makes you feel shitty
What did you do to get the b
Did you study
And how did you study
no đ
Well, Iâm pretty sure thatâs the reason
i need to be punished
unfortunately not
I was gonna suggest go outside wearing minimal clothing for 10 minutes and think about being homeless (toxic study motivation fr)
This is a joke though
no thats a good idea
Honestly I think metacognition is improtant, and understanding that YOU NEED TO STUDY FOR THE STUFF YOU DID BAD
ty
Well what an actual good idea would be to fucking study
Wrong way of thinking
Everyone deserves to eat bro
Getting a B does not constitute not eatingâŠ
i dont have the right to feel sad tbh, it's entirely my fault that this happened
You should understand your mistake first (why you made the mistake which is why you got a b) and then work towards fixing that goal, in this case itâs because a lack of preparation, so you just need to study and prepare and youâll do well
It still doesnât constitute denying basic human rights
to other people sure, but i can and should when it involves myself
Do you perhaps learn from your mistakes or
There's a problem sometime : Is the innability to apply what we learn and overplaning
i wish someone would force me to study
Get a study buddy bro.
Get someone to motivate you to continue
I mean then you need to think empirically
Like there are so many discord servers
Join a study server
Did you do anything though�
Did you use your motivation
Maybe one time you receive a lot of knowledj and advices from people , methods ,inspiring quotes..
Then the result you will be overwhelmed with wanting
to try to do all the things then you overthink and you overplan
Over planning is good
Up until a certain point
Itâs all empirical from my perspective
Yes but to move from a plan to an other and making to do lists you live in inaction .
It's the danger then you will not work .
Thereâs a very simple method
Count to 3, if you can think of a actual valid reason for not studying then donât study
If you reach 3 then you must study
Or itâs like
You condition a certain state
Like when ur focused snap your finhers
Laterc when you want to study, snap your fingers and lock in
Honestly
I use a simple method also
how do you enforce this tho
Yeah first time is the hardest
Uh
Okay
Are you free rn
not rly but i will be soon
Just count to three
And go
Just donât use your brain when you want to study and donât try to contest it
how do you enforce the rule tho
now ,do it now ,do it now ..
sorry i don't understand what you're typing
Punishment but only up to the point of discomfort
Just like
Do pushups or something idk
There's an other method : say in you're self do it now ,do it now , do it now ..
Honestly just use the pomodoro method
if only i was consistently as productive as i was on my flight back...
That doesnât matter
Your to caught up in the past
Indeed lmao
Or buy them meals
Unless you do work
Just take the action ,Dont think , dont plan ..do it now ,do it now ..
And you need to beleive absolutely that the difference that makes all the difference
Yeah basically stop living in the past and just focus
is only the action .
Start by beleiving that
and never doubt about that .
Then in every situation take action immediately whatever is the situation .
Yes then takes just actions , just continue working ..
and if you wanted to procrastinate say in you're self do it now, do it now ..
and beleive absolutely without doubts that without taking the action nothing changes .
then if you want to apply you're knowledj
take only useful ideas thouse who call the specefic action in order to be done
and take just little useful bits of knowledj and dont remember the rest to pay all you're attention on
to apply them or you get confused with multitasks .
@storm jasper
What you will say ?
Me I had a story ,In my 3 month of holydays:
as me I was a procrastinator my mom
helped me to go to an office of motocycles
I worked their with social pressure of bosses ..
for 3 months .
wdym, i've also had work experience for a few months
what's this supposed to tell me
I worked approximatively 9 hours a day
for 5 days /week
I've had executive dysfunction issues before.
What's helped me is setting deadlines for myself, doing things everyday at a certain time, and starting now instead of waiting.
Setting timers can also help as well.
Be we suffered ,That made me consciousness
that without studying hard at university
I will risk to suffer all my life
45h/week is very common with a degree too
like thouse people .
i don't know what your point is
i'll be forced to keep a much stricter schedule next semester if i get the classes i want, so hopefully that helps
Yes! And you've got this!
thank you <3
You're welcome!
i might be late but did you check your exams after they were corrected?
we don't get to
i didn't complete almost half the paper though
why tho? was the exam long or were you nervous because of the pressure/time constraint?
i don't know, i don't know anyone who completed the paper either, but for my part i was doing questions much slower than usual
I see. alright then try testing yourself at home by solving previous exams (like from previous years for example) but with the time constraint
if you do a bunch of exams in this way at home you will probably become faster in the exam
because you will have adapted to working under time pressure
it will probably still be more comfortable than the actual exam since you know that failing this practice test wont have consequences but still i think it will probably help
other than that i would say try your best to not care in the exam
by that i mean dont think about "what if this goes wrong" or things like that. well its hard and sounds idealistic lol
but if you try i think you might be able to reduce your nervousness in the exam even if slightly
just have confidence in your abilities and in the time you spent practicing/preparing at home
i could do all the past exam questions i attempted and in much less time than the exam
