study-discussion

[red rapids]

https://tenor.com/view/robo-reading-book-enthiran-trending-amazon-prime-video-robot-gif-18222078600260417162

[rocky terrace]

I remember watching this movie when I was very little

[red rapids]

People are not gonna be at your beck and call just because you want them to be. If you want help that bad, learn how to help yourself without having to wait on other people to. The only way to do that is failing at it over and over again until you don't

[shadow sinew]

@red rapids thank u for the motivational speech

[red rapids]

Was not meant to be motivation at all and your sarcastic mockery isn't appreciated. Have some courtesy and respect for the time people offer you and most of all, patience.

[shadow sinew]

I was being serious but ok

u have a good day

🙂

[shadow sinew]

@red rapids my apolgies if it came out as sarcastic or mocking, that was not my intention

[maiden hollow]

Hey everyone.
I’m honestly weak in maths right now, but I really want to improve day by day because I know maths is important for programming and AI.

Can you guys give me some tips on how to get better at maths consistently? Like what topics I should focus on first, how much I should practice daily, and how you personally became very good at maths.

I’d really appreciate any advice or learning methods that helped you. Thanks 🙂

[rocky terrace]

You can try Khan Academy

[marble relic]

can anyone share trignometry notes?

[rough solstice]

hello

[vital chasm]

over there once you have a topic list, you can either khan academy or youtube or some other such thing your way through it (if you sre lacking in time), but if you are not lacking in time i would highly reccomend searching a textbook/textbooks for each topic and doing all the exercises

that should be more than enough

[rough solstice]

so as i was saying , i find those exam entrence honestly hard because it not thought in our 12th grade in morocco , and i find it bit confusing

[vital chasm]

can you find a syllabus copy?

[rough solstice]

alright i'll try it, but also do u think they got like hard equations and stuff?

[rough solstice]

the copies of the entrence exam are just few no lot......like 1 or 2 shared exams hmm 1mn i'll translate one of them

[vital chasm]

from the example question you sent me, i think after having studied a rextbook you should find it pretty easy

[vital chasm]

i wont be able to go through em

i am not saying pasr-paper, am saying syllabus copy

[rough solstice]

i honestly dont know what a syllabus is , because all my studies in those scientific subject are in french

[vital chasm]

syllabus means list of topics

like the set of things that can come in the exam

[rough solstice]

they got space geometry Scalar product in space, equations of planes, and spheres.// Probability Theory: Focus on conditional probability, independent events, and the Binomial Distribution.//Combinatorics: Permutations, arrangements, and combinations.

and complexe numbers Focus on algebraic and trigonometric forms, Moivre’s theorem, and geometric interpretations in the complex plane. Numerical Sequences especially the arithmetics

[vital chasm]

i see, in worst case scenario, you should be able to find all of these on khan academy

[rough solstice]

Differential Equations , Primitives and Integrals Logarithmic and Exponential Functions , Limits and Continuity

[vital chasm]

but in better case scenario, are there any standard french textbooks?

[rough solstice]

honestly im not sure, but most people say there is some textbooks in french designed for exams entrance paracticing

but honestly what i see, is that university exam is more harder than the others

[vital chasm]

ah, then you can ask around for that textbook, and go through it?

[rough solstice]

yeah sure, but im not sure if that one textbook designed for the normal lvl for the others uni exams and not designed to be hard

also that university im willing to get, it exams and whole studies is in english which is a big problem because all my studies in french, so i gotta learn both in both languages and know the words in english and french

[vital chasm]

i doubt difficulty will be a big issue

[vital chasm]

that i cant help with

[rough solstice]

it's fine

all i mostly wanna know , is khan academy got like hard examples, like ones in entrance exam and like olympics and stuff?

[vital chasm]

the entrance exam is nowhere near as hard as olympiad (i think)

[red rapids]

Khan Academy got nothing on any entrance exam lol. Olympiads are a different kind of beast.

[crimson elm]

Any reason for doing olympiad maths?

[rough solstice]

then what should i use?

[rough solstice]

it just there is some kind of my dream shcool that i really want to get in, but their entrance exam is so hard. also what special about it if you hit like first, second or third place on that exam, u get full shcolar ship, the food, the shcool fees, the dorms everything for free

[crimson elm]

Sure but this doesn't answer my question

[red rapids]

Use regular textbooks alongside past papers of your exam. Some old style books can be very helpful as well. You can look at Loney's Trigonometry and Coordinate Geometry books alongside Hall and Knight's Higher Algebra with Maron's Problems in Single Variable Calculus.

[red rapids]

But honestly ik you didn't ask for this advice but having a "dream school" is overrated af. Most incoming undergrads tend to have no idea what they're getting themselves into to make an informed decision on that matter. They're just manipulated by marketing and PR. They might be good places to be, but you may have ignored something that is far easier to get into and a much better fit for you as well.

[rough solstice]

oh yeah e, i forgot T_T, well some says that their entrance exam is so hard, like olympics

[rough solstice]

alrightt

[rough solstice]

i mean, that shcool that i dream about, is, famous in the entire country too. and known to be competitive, also i got the infos i have from people like teachers etc, people who got hight chance of being corrrect about the information not like random people

also thank you very much for the advice !

[red rapids]

Might be biased about teachers' takes here but in my country, where entrances happen along the same lines, the teachers usually have absolutely no clue and themselves rely on hearsay with marketing and PR manipulation

[rough solstice]

ah i see, also like we mostly hear about harvard university in usa etc we also got like ones in morocco, um6p it very famous but hard to get into especially if you're aiming for full shcolarship

[red rapids]

It usually depends on what you wish to study tbf. If it's something like engineering they're probably right because most of the reputation comes from job offers. If it's the sciences or math, idk how many of them would be well read about the present research.

But honestly, this is still one of the worst ways to decide which uni to go to as an undergrad.

[rough solstice]

well, i choose it, because it is my only way to study out of where i am. also i see others who are as ambitious as me, and even get less grades get it, so i assume, getting accepted to pass the exam entrance is easy, so first step is not that hard. which makes me question, if i was able to be accepted to pass the exam, then why not give it my all and get shcoolarship there?

[red rapids]

I'm not gonna argue with you over here. I said my piece. Take it or leave it lol. Plenty of ways to do something for yourself in life. Only in hindsight will you realise if you made the right choices or not.

[rough solstice]

i see, i'll think about what you said. i know i have a way long path and i wouldnt understand some stuff as you as i think u prop got experiences etc , but thank you for your advices !

[hollow fable]

How detailed should notes be?

[red rapids]

As detailed as one can possibly write including things that confuse you, your interpretations of what is going on and caveats of such intuition. That's what I recommend my students. The ones who keep that up tend to improve their understanding quite rapidly.

[normal sleet]

My notes these days are basically either things like overarching ideas of the paper
Or detailed computations that are not obvious but the author does not elaborate

Or mistakes in the paper

[red rapids]

Aye, that's how it should work when reading research literature, but afaik this person is a HS student, not a researcher lol.

[hollow fable]

[uneven jackal]

A new thought came into my mind. As we know that JEE advanced tests deep understanding, creativity and one's ability to connect different ideas and draw conclusions, for the topics it covers, specifically the topics covered in 11th and 12th grade.

Therefore, should I be able to do problems in JEE advanced, in order to know if i really and deeply understand those topics ?

Conversely, if i am unable to do JEE advanced questions even when I learned topics, asked questions, explored conditions, tried to re-explain theory to myself and tried to figure out stuff within or related to those topics, all out of pure interest, would that give me a reality check that i unable to connect ideas creatively or deeply understand topics ?

What do you think ? Have you tried JEE advanced problems of different years ?

[rocky terrace]

[red rapids]

JEE Advanced does not test any deep understating or creativity or any of this stuff. And idk why you pinging me on some random shit.

[rocky terrace]

CMI and ISI are better if you wanna do math

You can even do physics at CMI

[red rapids]

And CS

[rocky terrace]

yeah

[uneven jackal]

I wanted to ask, because you have no problem with JEE itself.

[uneven jackal]

What's ISI, CMI and CS (computer science?) ?

[red rapids]

I do. I have made it pretty clear. It's a very contrived examination. But why are you asking exactly?

Like where are you headed with all this?

[uneven jackal]

Then what's its purpose?
It must test something, people have been screaming that it is extremely hard and tricky, i wondered if that difficulty and tricky-ness of the questions serves as a test of deep understanding of a certain topic or creativity of the individual.

[rocky terrace]

it tests your ability to take standarized tests

[uneven jackal]

I learn introductory physics out of interest → I encounter physics questions of JEE or peers sharing me some JEE questions → I am unable to do them → I feel guilty that I lied to myself about understanding those topics. (Reality check)

[uneven jackal]

What are these ?
Exams ?
Institutes ?
Google says they are institutes but how are tests of ability?

[uneven jackal]

Oh chennai mathematical institute. What entrance exams do they have ?

[storm tide]

That doesn't follow. It doesn't even need to test anything particuarly well defined, as long as its questions can be answered by few enough test takers that it produces some ranking.
Its basic purpose is that the institutions that use it have more interested and qualified applicants that they have room/budget to accept as students, so they need a not-too-obviously-biased way to select whom to let in.

[hasty lantern]

$$
\text{Soit }
P(x)=\prod_{i=1}^{n}(x-x_i)
=\sum_{i=0}^{n} a_i x^i .
$$

On sait que la matrice de Vandermonde inversée pour un (k\in{1,\dots,n}) est :

$$
\begin{vmatrix}
1 & x_1 & \cdots & x_1^{k-1} & x_1^{k+1} & \cdots & x_1^n \
1 & x_2 & \cdots & x_2^{k-1} & x_2^{k+1} & \cdots & x_2^n \
\vdots & \vdots & & \vdots & \vdots & & \vdots \
1 & x_n & \cdots & x_n^{k-1} & x_n^{k+1} & \cdots & x_n^n
\end{vmatrix}
$$

$$
\xrightarrow[C_n \leftrightarrow \sum_{i=0}^{k-1} c_i a_i + \sum_{i=k+1}^{n} a_i c_i]{}
$$

$$

\begin{vmatrix}
1 & x_1 & \cdots & P(x_1)-a_kx_1^k \
1 & x_2 & \cdots & P(x_2)-a_kx_2^k \
\vdots & \vdots & & \vdots \
1 & x_n & \cdots & P(x_n)-a_kx_n^k
\end{vmatrix}
$$

$$

\begin{vmatrix}
1 & x_1 & \cdots & x_1^{k-1} & x_1^{k+1} & \cdots & -a_kx_1^k \
1 & x_2 & \cdots & x_2^{k-1} & x_2^{k+1} & \cdots & -a_kx_2^k \
\vdots & \vdots & & \vdots & \vdots & & \vdots \
1 & x_n & \cdots & x_n^{k-1} & x_n^{k+1} & \cdots & -a_kx_n^k
\end{vmatrix}
$$

$$

a_k
\begin{vmatrix}
1 & x_1 & \cdots & x_1^{n-1} \
1 & x_2 & \cdots & x_2^{n-1} \
\vdots & \vdots & & \vdots \
1 & x_n & \cdots & x_n^{n-1}
\end{vmatrix}
$$

$$

a_k
\prod_{1\le i<j\le n}(x_j-x_i).
$$

[mossy shadow]

ishantgaming67

[hasty lantern]

Nice

Finally i will now pass BBA (Bachelor of Business Administration) (Honours)

[red rapids]

English please? Also, better suited for #math-discussion

[uneven jackal]

So, they basically want to know if the students that are taking the examination are interested and are applicable for the majors they choose in the institutions ?

[red rapids]

Learning it doesn't mean you'll be able to solve everything. Ideally, you should be able to but it's normal to get stuck and make mistakes. Then you investiage what went wrong. And that's how you become more thorough with the material.

[red rapids]

Why are you spamming?

[storm tide]

They just want a way to reject most of the applicants because they don't have capacity for all of them.
It can't be just a random lottery (which would probably be politically unacceptable), and it cannot just be based on who the administrators like best (which would have too obvious a risk of being discriminatory) or who will pay the most for a place (also politically unacceptable).
It should, of course, reject most of the actually unqualified applicants, but there's still too many qualified applicants for that to be enough rejections

[red rapids]

More precisely, they want a way to reject most of the applicants while being as lazy as possible logistically.

[storm tide]

That's undoubtedly one of the secondary considerations.

[uneven jackal]

Yes that's what I been talking about, learning from our mistakes and reflecting on ourselves.

But are JEE advanced questions really what people claim them to be ? Like, are they the ultimate difficulty of questions or problems ? Or they just teach to think in one kind of way, one kind of problems and hard in that specific way, instead of being hard in general ?

[uneven jackal]

So they designed the examination in such a way that it washes off most of the population that gives the examination?

[storm tide]

Yes, that's what it's there to do.

[uneven jackal]

Ooh, interesting.

[main trail]

hi, just wantedadvice

would dojg measure thoeory alongside commutative algebra be feasible

for someone who knows ring, field and group thoery

( and RA)

[crimson elm]

Wdym by feasible

[main trail]

lemme rephrase is it a good idea

I also plan on doing a summer course on hyperbolic geo

[crimson elm]

Presumably you want to do AG or number theory after commutative algebra in which case why not

[main trail]

this is the course outline for the same( for a ref work load)

[crimson elm]

Oh workload

[main trail]

I'm just exploring interests tbh

[crimson elm]

Idk tbh it depends from person to person

[crimson elm]

Nice hyperbolic geometry is beautiful

[main trail]

it's a bit pricy but If I don't want credits the prof has allowed free auditing

[crimson elm]

If you're scared of grades just do auditing ig

[main trail]

it's the cost tbh

,w 24,000 INR to USD

[mossy shadow]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by math_rocks

[crimson elm]

Oh valid

That sucks

[main trail]

also

wanted to share my measure theory collection

[red rapids]

If reflecting is what you're doing then why are you obsessing over some examination prep problems instead of getting better at whatever it is you feel inadequate in? Difficulty is often very subjective. Consensus doesn't change that fact. In any case, a discussion on the exam itself, it's philosophies and analysis is likely not a great fit here unless you're planning on appearing for the same. For the level of clarity you are seeking, I don't think a textual conversation on a public channel or even privately will be constructive. It may be a valuable discussion to be had with (more than a few) people doing research in pedgagogy in India or outside if they have enough knowledge and perhaps experience in the system.

[uneven jackal]

Yeah

[red rapids]

Also, just FYI, there are often brilliant people who struggle with trivial stuff when put on the spot while there are also idiots who can get really tricky things right with some pattern training. If it was that easy (like 1. With an exam with contrived difficulty or 2. Ability to solve problems perceived to be hard really quickly or 3. A defense of some work you did to strangers who are supposed experts, etc.) to truly measure competence, the world would be a very different place today. You have to find your own yardstick.

[uneven jackal]

True.

Your take is respectable.

[uneven jackal]

I won't say that I am some "brilliant" person (I believe I am totally not), nor that people who can solve stuff quickly are merely just "idiots".

That said. For the first part, i remember an incident that took place years ago. I was solving math problems or maybe doing random stuff in school then our teacher asked us to solve a specific "prove that..." question in triangles chapter of 9th grade NCERT, I glanced at the problem and begun trying it out, just a minute passed and few students already had solved it with all the logical steps while I was still trying and was completely stuck for 2-3+ hours with confusion and spent efforts trying to figure it out myself, until some classmate loudly gave a hint or a theorem to use to solve that problem and then I was able to solve it.

That time, it really felt that how people practice alot of problems such that they are able to guess the pattern unusually fast instinctively. And the solution felt like a kind of "one-way random trick" that I just couldn't figure out.

[viral osprey]

Add dudley, folland, tao, papa rudin, bass and zygmund

Oh also bruckner

That one and bass are free iirc

Bruckner/bruckner/thomson

[edgy sierra]

i just got flashed by a hint while i was trying to prove a theorem

will this significantly affect my understanding of said theorem

[fleet hill]

no

[cinder steppe]

this looks like an awesome course

[real sinew]

Hi

I study slow because I try to proof everything

And i have no sens of proportion

What's solution ?

[real sinew]

I dont know how to choose a book in mathematics ?

[scenic shuttle]

@last furnace how did the math competition go?

[red rapids]

If a glimpse of full frontal nudity doesn't affect your understanding of human beings, why should a hint affect your understanding of a theorem?

[red rapids]

Halmos and Bogachev are worthy additions

[unkempt gorge]

Least weird math person

[wheat plume]

Sometimes it helps, sometimes it doesn't. Maybe you can skip through statements of theorems, but if it seems important, you can work through the proof

Or you can work with other people in the area so you can get a sense of what is important

[sharp maple]

can anyone help me study statistics, I need to study significance tests and confidence levels mostly but i dont even know where to start

[shadow sinew]

Im failing

[sharp maple]

same

i have a 50 rn

and my last day to turn in assignments is tomorrow

and the tests that will make or break if i pass is in 4 hours ;-;

[hot crypt]

hi

[sharp maple]

sup

[uneven jackal]

Relatable. This is exactly how I felt during that time, I tried out different ways to solve it, trying to figure it out and felt like that I was very close to it but then the hint felt like it ruined everything.

[storm tide]

Honestly, though, once you have turned the problem over in your head so much that a glimpse of a hint will insta-spoil it, then you've already gotten as much learning out of the problem as you're going to do. The only thing there is to lose by then is the ego boost of solving it yourself.

[uneven jackal]

I did move on, once it was solved and yes I kinda felt like that the mental effort I spent could be valuable, though that feeling of finally getting it was amazing.

Though it's not something to be taken personally, i solved it and moved on. I think that the lessons and realisations I got from it are more valuable.

[uneven jackal]

That is very true.

"If reflecting is what you're doing then why are you obsessing over some examination prep problems instead of getting better at whatever it is you feel inadequate in?"

You are completely correct here, i should be improving my weak points instead of obsessing over an examination that I do not even care about or plan to give. And yes i would say that I am not a very reflective person, even though i try to reflect all the time, it almost never ends with fruitful conclusions.

"Difficulty is often very subjective. Consensus doesn't change that fact. In any case, a discussion on the exam itself, it's philosophies and analysis is likely not a great fit here unless you're planning on appearing for the same."

Yes. I'd like to agree here, it's very dangerous that I get easily influenced by peer and public opinion and hype about the difficulty of such examinations. I should really be focusing on my own curiosity and interest in the subject that I am interested in.

Difficulty is definitely subjective, JEE advanced and similar examination may just test the ability of pattern recognition for certain types of problems while in reality there can be uncountable different types of problems, such as self-created exploratory questions, deep proof questions that require creativity and sustained engagement, questions that last weeks to months to figure out, and the list goes on and on.

And yes, I am not even planning to appear for that examination, that said, I was curious about it, i apologise. Analysing the philosophy of an examination is not fruitful and what I am doing out of curiosity is very unfruitful as i should be improving myself instead of listening to the outside world, you already pointed it out in the past, thanks for pointing that out.

"For the level of clarity you are seeking, I don't think a textual conversation on a public channel or even privately will be constructive. It may be a valuable discussion to be had with (more than a few) people doing research in pedgagogy in India or outside if they have enough knowledge and perhaps experience in the system."

Oh, I see.

My intentions were not about "research-level" analysis of the questions in similar type of examinations but I was not aware of that, thanks for letting me know that, i appreciate it.

[hollow wolf]

Hello

It was not in my channel list that's why I was messaging there

[red rapids]

Hello. If you're in the Indian subcontinent there is a major issue with how mathematics programmes work here unless you are in a top tier uni. Do you have any goals as to why you wanna study math?

As far as what the issue itself is wouldn't matter unless Ik why you're getting into this. Hence the question.

[hollow wolf]

As I like it and it improves our neuroplasticity and I don't qualified jee as I wanted to be an ai ml engineer

But I am good at maths and I like it

[red rapids]

If you wanna be an engineer why do you wanna study math? As much as it can help you, you're better off studying engineering.

[main trail]

Also , and I suspect this is will be brought up soon enough, do you know what typical college math is like?

[red rapids]

So @main trail the reason I stopped you is because Algebra 1 in most Indian unis is actually Elementary Algebra

Not Abstract Algebra

[hollow wolf]

Because I can't afford a private college fees as I don't have a nearby university at my home so I need more money for lodging fooding and extra

[main trail]

oh 😭 , I study in India too, I wasn't aware, sorry

[red rapids]

You're probably in a good enough uni then lol

[hollow wolf]

In which university are u can I know about it

[red rapids]

Generally not a nice question to ask in an online space lol.

[red rapids]

Could you answer @hollow wolf

[red rapids]

Also this.

That way I can help you better. There are avenues in India that are less known to ppl if they really wish to study math but there's also the problem that most ppl either have no idea what they're signing up for or they go to a place that keeps up your flawed expectations of math and renders you incapable of doing much besides teaching in schools. Not that it's a bad thing in and of itself, but India is a strange place.

[hollow wolf]

I told u, I am financially broke to get into a private engineering college

[red rapids]

There are enough state engineering colleges in India.

That don't need JEE

And there are plenty of private unis in India that offer good scholarships based on board exam scores.

[hollow wolf]

I don't know any in my state most of are on the basis of jee mains and

I got above 80% in my boards if u know any can u tell mw

[red rapids]

Also, if this is the motivation to study math, better not. You'll end up in a much worse situation.

[red rapids]

Which state are you in?

[hollow wolf]

Bihar, here government colleges only offers diploma on the basis of their own exams

Are u also from India

[red rapids]

Oh Lord. Is it possible for you move to another state for studying?

Most of the places I speak of are in South India. Might be a few in West Bengal still.

[hollow wolf]

I arranged the fees for the tution of college but I lack hostel and mess fees

[red rapids]

How do you think I know all this stuff

[hollow wolf]

And in private colleges specially in India it's not confirmed that u can get a part time job so I can pay my fees

[red rapids]

What exactly is a budget you can handle? Can you consider working while studying?

[hollow wolf]

5 lakhs

[red rapids]

Who said that lol

[hollow wolf]

My many friends got into and many neighbours

[hollow wolf]

I can work

[red rapids]

Consider applying to South Indian colleges then. Many are cheap (esp. in Chennai), don't need JEE scores and you can stay in cheap PGs while working part time in almost all of these colleges if you need to.

And avoid academic fields if you don't know what you're getting yourself into. You'll end up regretting it and then become a teacher and pass on that regret to other students. That's the vicious cycle of Indian schooling.

[hollow wolf]

Can u consider me any college in Chennai

[red rapids]

If you're actually interested in studying mathematics, go to Bengaluru or Chennai. Both have good things to offer, but you need to do some due diligence on what studying mathematics is like and what people do normally. There are roads into the AI-ML industry from there as well, but much harder to grab in India unless you know what it takes.

[red rapids]

Private ones, you can consider CIT and Krea (not in Chennai, but very close to the border). They tend to have great scholarships.

State ones are all equally bad but you can try out Loyola, Madras Christian College, Venkateshwara, College of Engineering, Guindy.

[quick elk]

white guy from Wisconsin with a fetish

[red rapids]

The only fetish they have is for you 😘

[quick elk]

🥹

[main trail]

another alternative would be going to whatever collgee you can and prepping for UGA/UGB no?

[red rapids]

Not sure if that's doable with financial struggles. You might as well take a drop and study while working for such a thing. The whole CSE, AI and DS track in India has become over saturated with tons of people with immense potential who have no idea why they're there tbf. I have a feeling OP is in the same boat but might well be the simplest course of action for financial security down here.

Oh and for all the criticism I throw about the JEE thing. This is the biggest one. Your average Joe never had the chance.

[main trail]

SO TRUE

JEE is anything but fair

it's almost a tool to keep the rich rich

[quick elk]

finally a positive thing said about it

[uneven jackal]

"Also, just FYI, there are often brilliant people who struggle with trivial stuff when put on the spot while there are also idiots who can get really tricky things right with some pattern training."

Agreed. It's almost self-explanatory, a person obsessed with math but is intellactually humble would not care about showing off skills and it would really take time for them to solve "Trick-based" questions when they are put on the spot, while people who do not care about mathematics beyond their school curriculum but have a lot of traning in solving lots of "trick-based" or "pattern-based" problems could solve those kinds of problems and get the right trick in lesser amount of time.

"If it was that easy (like 1. With an exam with contrived difficulty or 2. Ability to solve problems perceived to be hard really quickly or 3. A defense of some work you did to strangers who are supposed experts, etc.) to truly measure competence, the world would be a very different place today."

I do not believe that it is easy, but you are right, we cannot truely measure competence, everyone has their own skill in which they thrive.
I (cannot name/don't know about) any artificially created challenge that can accurately measure things like different types of intelligences, creativity, wisedom, maturity, and so on. And i do not think that they are something to be measured and be compared around, if I ever said that, I apologise for doing so.

AND, for the last part...

As per my "yardstick", this is what I currently picture :-

I would just like to be curious and deeply interested in mathematics/physics (or the things that I care about after learning from my mistakes and finding what I am truely interested in) i would want to keep learning while being intellactually humble. No exams or any comparable skill matters to me because i would only like to care about understanding and exploring the topics in the feilds that I care about.
Though, for me to keep learning these stuff, survival is extremely important, and for that i would like to develop or work towards a skill that can helpful for being financially comfortable, it could be anything that is feasible, someone recommending me for "Data analyst" or anything that can give me enough time to think deeply and learn the things that I care about as a hobby.

Though things can surely change in future, like i would get to know my true interests and many other things and i would like to accept it and I know that I don't have any experience with how to be financially comfortable and live a sustainable life while leaving room for genuine intellactual interests.

I feel that this probably vulgarizes and romaticizes the idea of self-studying or living a sustainable life with such hobbies, I am not sure as I don't have any experience. But this is what i may feel sometimes as I am having burnout or losing interest in everything and i should not reason with feelings or emotions alone.

Thank you so much for listening and actively replying to me even when I brought my same anxiety, self-doubt about my interests and ability, comparison about my self-worth and mentally orbiting around the same Prestige, Comparison and hard problems, and which may have caused some frustration and I apologise for it and I am greatful to you for redirecting me towards what i should really work towards, and moving forward with putting my attention towards the subjects themselves instead of using mere examinations to measure my abilities or capabilities.

[pliant python]

Hey everyone! I'm looking for book recommendations for high school students — ideally ones with lots of proofs and demonstrations — or websites where I can practice. I've been trying to study math on my own in my free time, so any suggestions would be really appreciated

[real sinew]

I find it hard when I open a book that I know nothing about

In stead to finish him fast with effectiveness

I try to proof every statement and do every exemple et and rewrite every proof in order to have complet certainty

And I take note of everything because I fear to lose what's important

But some people seems for me that they study very faster than me and they advance in levels

I dont know what they do

Because it can take me 4 hours to finish 30 pages

Im like 🐌

[red rapids]

Go to #book-recommendations bruh.

[fleet portal]

hi,
I am learning linear algebra,
but i am losing interest in it..
i used to love maths and there were good regular people in this server..but time has changed

how do i make it interesting again..

why maths is interesting to you?

[red rapids]

How does

I am learning linear algebra,
but i am losing interest in it..
i used to love maths
have anything to do with
and there were good regular people in this server..but time has changed
?

[fleet portal]

because it made learning math with human interaction

which is a good thing

[red rapids]

You don't have humans around you irl who learn math?

[fleet portal]

no

[red rapids]

Damn. Okay. That's sad fr. But there are still plenty of folks here who do. Idk why you think that has changed.

[fleet portal]

i am graduated but not in maths..but i used to love math..as there was a healthy competition then

now help channel feels dead to me

[red rapids]

That said, wanting to learn and do math is an internal thing. The availability of peers shouldn't be a motivating factor but an elevating one.

Bad example but Ramanujan had no peers. He loved what he did tho and kept doing it until he had peers that helped him go even beyond.

[hollow fable]

Grid, dots, or standard ruled notebooks?

[red rapids]

Strange. They all seem very active to me.

[red rapids]

Tablets, blackboards and LaTeX.

[grave valley]

is this a survey

it doesn't matter which one u use

[wispy zephyr]

i personally preferred grids over lines, haven't tried dots

[grave valley]

i used to use grid but i like lined now

also never tried dots

[marble relic]

oye @versed bridge

[lapis sluice]

i usually go for lines but ive never tried dots, i think dots and grids would be better for diagrams charts or graphs than writing

[marble relic]

result aagye 12th ke

😭

lagg gaye mere

[signal bay]

!english

[wide crypt]

Hwæt! We Gardena in geardagum

[marble relic]

😭

[cunning nymph]

Hi everyone!

I’m a B.Com(Accounting) graduate from India with a strong interest in mathematics and quantitative fields. Recently I started exploring higher mathematics seriously because I realized how important it is for the fields I want to pursue.

My long-term goals are:

• Computer Science
• Quantitative Finance
• Economics
• Quantitative Research

and I eventually want to become a Quant.

Since I come from a non-maths background, I would really appreciate guidance regarding:

• what mathematics topics I should study,
• the correct order/roadmap,
• and the best resources/books/courses to follow.

I’m ready to study seriously and consistently, so any guidance from experienced people here would mean a lot.

Thank you!

[red rapids]

You start by doing some senior high school and first year undergraduate mathematics to begin with. Pick up these notes on Discrete Mathematics along with Stitz and Zeager's Precalculus and Piskunov's Differential and Integral Calculus.

If these look overwhelming to you or you feel clueless, you may have to start a bit earlier, at around the early high school level.

[versed bridge]

Who pinged me?

[marble relic]

me

12th ke result aagye 😭

[versed bridge]

🫡

[marble relic]

itna khrab paper

itne khrab marks

gosh

[versed bridge]

💔

[marble relic]

but theek hai atleast accha number aaya

69%

[versed bridge]

Lol

[marble relic]

ur in 11th yea?

[versed bridge]

10th

[marble relic]

haze ko ping kr

[marble relic]

jst entered?

damn bruv ur young asf

[versed bridge]

@finite oxide

[versed bridge]

Yep

[marble relic]

i see

[versed bridge]

I gotta grind as hell

Tday

[marble relic]

lol 10th is ez asf

asli khel is 11th

[versed bridge]

INMo aint

[marble relic]

nd 12th

[marble relic]

tru

[versed bridge]

Ioqm

Aint

RMO aint

[marble relic]

cbse ki baat kr rha hu 😭

[versed bridge]

Hmm

Yeh it's ez

[versed bridge]

Mai HBCSE ki

[marble relic]

haze ko ping kr

[marble relic]

whts tht

[finite oxide]

?

[versed bridge]

Bro

@marble relic

Callin

For 12 th result

[finite oxide]

ill be giving boards next yr

[versed bridge]

Oh nvm

[finite oxide]

just entered 12th

@marble relic kitne

%

[versed bridge]

@finite oxide

@marble relic

Is here

?

[marble relic]

sup

69% aagye 12th mai 😭

[finite oxide]

sup

[finite oxide]

yo thats not bad

• your goal is iat right

[marble relic]

yea

[red rapids]

@versed bridge @finite oxide @marble relic you're hijacking an open online space for a conversation that needn't be here. Nor are you respecting the rules of the server. Either you continue this in #chill or take it to your DMs.

[marble relic]

??

"hijacking" bruv this is a discord server chat....

anyways we're done

[red rapids]

You're discussing mutual grades and in Hindi no less. What do you suppose this channel is for?

[marble relic]

I was jst telling them my result

[marble relic]

study discussions

[red rapids]

You can DM them

[finite oxide]

alright man we're done with this channel

[marble relic]

its complicated....

[finite oxide]

it was just for a little bit

[marble relic]

yea

anyways mb, we'll take care of this

[finite oxide]

yeah

[red rapids]

Understandable, but this was better engaged in a different channel like #chill or you could make a group for yourselves. Do remember that this is a space for a lot of other ppl. Prolonged usage of an uncommon language and context that people don't have would make a newcomer looking to ask something very confused.

[marble relic]

it shws no access btw

[marble relic]

hmmmmmmmmmmmmmmmmmmmm

[red rapids]

That's because you have the studying! role. Check #info lol.

[marble relic]

ah

[finite oxide]

sorry we'll ensure its in chill next time

[red rapids]

In any case, congratulations on your board exams results ig.

[marble relic]

AHHH

DONE

i can see #discussion finallyyy

[finite oxide]

lol

[red rapids]

Pro tip. Check out the channel's info before deciding to talk in them

[marble relic]

😭 alr

[hollow fable]

They definitely ain't gonna let me use any of those in school💀

[hollow fable]

I've also never tried dots, gonna try it probably. It looks cleaner

Nvm Probably not

[red rapids]

There's also writing tablets as well. No features besides writing and storage. Also which school doesn't permit students to use blackboards lol

And why would you use LaTeX for live note taking? It's more useful for faring out your notes

[fleet portal]

hi people

[fleet nebula]

hey everyone

[keen gulch]

@edgy summit hows salt analysis

[edgy summit]

i did it in class once

and then never got time to do it again

too much memorization

[keen gulch]

is it actually that much

[edgy summit]

only organic and physical is what i know 🥀

wbu

[keen gulch]

man maths used to be fun but the mcq qs types ns tuff

[edgy summit]

it was ez tho

[keen gulch]

actually ykw i think discussions is a more appropriate channel

rather than study discussion

[edgy summit]

i remmeber pboac etc part

[keen gulch]

idk either

[edgy summit]

precipitating reagent is only part i remember

[keen gulch]

havent learned, i only know its annoying

we only done till coordination compounds

its a free chapter imo

[edgy summit]

hows ur 12th going tho

[keen gulch]

chill i guess

[edgy summit]

mine was going well till last 3 month was left

[keen gulch]

😭

[edgy summit]

w chapter

splitting and stuff seemed weird but its lowkey easiest chapter for me

[keen gulch]

yea its a free chapter

but its lowk weird

we finished it today and i didnt understand the last part

[edgy summit]

dude btw keep doing pyqs

jee mains specially

[keen gulch]

yea pyqs imp

[edgy summit]

oh which part

[keen gulch]

jtd

[edgy summit]

oh

yes

[keen gulch]

goofy chapter

lol

[edgy summit]

fr

[keen gulch]

even CFT was weird

[edgy summit]

yeaaa

[keen gulch]

its like rather than diving deep into the theory of CFT, i remembered the procedure

[edgy summit]

i jst learned splitting part

from cft

and its effect etc etc

thats all they ask about

i mean i know the reason too but it never came in use

[keen gulch]

ye

thats why

the exam is leaning more towards question knowledge

rather than conceptual clarity

[edgy summit]

fr

[keen gulch]

well it was nice talking gotta go sleep

lol

[edgy summit]

u guyz mustve completed organic right?

[edgy summit]

yea

[keen gulch]

not completely, some chs like biomolecules are left

[edgy summit]

which coaching btw tell me in dm

[keen gulch]

actually no alot of chs are left

[keen gulch]

sorry cant say that

eitherways its a local

[edgy summit]

i hate biomolecule 🥀

[keen gulch]

so theres a 90% chance you wont know it

[edgy summit]

ic ic

[keen gulch]

thx for understanding

cya for now

!

[keen gulch]

see dm

[hidden sundial]

Hey you guys wanna study algebra with me!!

[signal bay]

Which kind

There are multiple subfields withtin algebra

[fleet portal]

hi everyone

[fleet nebula]

hi

[edgy sierra]

high school, linear or abstract

[signal bay]

She left or sth

[edgy sierra]

ok

[heavy needle]

Geometric of course

[edgy sierra]

cue speech bubble

[signal bay]

algebraic algebra when

[rocky terrace]

https://tenor.com/view/lets-larp-larp-lets-go-meme-larping-ryu-jjk-gif-4454813626454837513

Me when someone mentions geometric algebra:

@devout sun I've finally collected all the jjk memes by watching every jjk season

[heavy needle]

https://tenor.com/view/jujutsu-kaisen-aoi-todo-gif-20976953

[rocky terrace]

My goat todo 🙏

[wheat plume]

depending on the book it could be fast or slow

[junior umbra]

hi you came back

[versed bridge]

Hey i have to go sleep

[signal bay]

good night

[red rapids]

Nah. You don't have the manga memes.

[red rapids]

Awww

[rocky terrace]

I mean the anime memes that I've seen lol

[slim iron]

anybody know some good amc10 studying resources?

[gaunt ruin]

pretty sure alcumus is decent

@slim iron

at least for the basics

maybe after you get more confidence you can pick up past amc10 papers

[robust panther]

I am doing a subject called higher anal sus starting june 1st I am having to use chat gpt for every problem in the textbook am I cooked.

[signal bay]

Err i would say yea

Also ai sucks

!noai

[wide crypt]

Please do not trust ChatGPT or similar AI tools for mathematical tasks, as they often generate output which "sounds correct" but has numerous factual or logical errors. Use of these AI tools to answer other people's help questions is strictly against server rules (see #rules).

[hazy vigil]

[robust panther]

Chatgpt breaks down all the steps and brings in past notes which are relevant. I am tempted to create some referencial notes app cause my textual working memory and recall, suck. Could replace Ai for the referencing. But I need good answers/

[signal bay]

Errr notes? You could try obsidian or sth, or be a chad and use a notebook

[edgy sierra]

don't use ai for this

[robust panther]

It is a poison apple

[signal bay]

Then dont eat it

[robust panther]

goddamn it I need to make friends then

[signal bay]

We have human helpers here

[smoky isle]

hey guys, ive been struggling alot with silly mistakes while solving math problems. for example, I sometimes divide by 2 and in the next line forget to include it, resulting in a wrong solution. this has happened multiple times to me while im practicing to solve fast or during exams. Please give some tips.

[obsidian wigeon]

everybody makes those kinds of mistakes, best advice is to save a bit of time before the exam ends so you have time to go back and proofread

[signal bay]

Double check your solution

[smoky isle]

alright, Thanks for the tip! @obsidian wigeon @signal bay and one more thing, when i write fast, my handwriting gets so messy that these mistakes increase cus its a mess. any tips on improving on that? so that i can write fast while also not having such messy solutions.

[signal bay]

Err slow down i guess

[obsidian wigeon]

i guess you could try practicing (like not during an exam)?

my handwriting is kind of crap, so i'm not one to give good advice there haha

[smoky isle]

this is an example of my handwriting lol

[obsidian wigeon]

i've certainly seen worse

[violet plinth]

Certainly rather similar to mine.

[violet plinth]

I think you have to practice writing slowly in proper form, so that you can still preserve legibility when you write quickly.

[gaunt ruin]

i recommend calligraphy practice unless you are going into medschool

[whole wing]

I don't think the issue is the individual letters, but the messiness of the "layout"

[tranquil nimbus]

????

higher anal sus??

OHH analysis?

😭

[stoic viper]

hey guys, stupid question but do i need to memorize all the first and second derivatives of the inverse trig functions, can't I derive them when I need to. Costs 20 seconds but still.

[left yacht]

u should probably have first derivatives of arcsin, arccos, arctan memorized

[stoic viper]

ok

what about the second ones?

should I memorize them too?

actually, do i even need the second order ones?

[stoic viper]

I will take that as a yes to memorizing the first order ones and ignoring the second order ones for now.

ty

[whole wing]

We don't know what the expectations of your exam are

[stoic viper]

ig, but I was just talking from a general perspective

guess that's stupid cuz I'll have to memorize them at some point anyways.

[eager brook]

i think there is no reason for you to memorize the second derivatives

[stoic viper]

ok ok ty

[whole wing]

Nah, at some point you just forget them, as long as you can rederive them it's fine

[stuck wagon]

Hello guys

Do you guys make friends on here and how does it help your studying

[stuck wagon]

Actually the best way to memorize them is to use them a lot

I.e solve many problems involving them

[rocky terrace]

[winged crow]

I would be interested in hearing your opinions on these questions: "What differentiates an A student in a uni-math class from a B or C student? And what advice wold you give a B student?"

[unkempt gorge]

The B students need to b better

[cyan shadow]

People I'm going to start learning math from the scratch

From arithmetic to calc

Any suggestions?

[signal bay]

The difference is their grade

[rigid stratus]

Mostly study habits

[winged crow]

Wdym by that? Can you give an example?

[rigid stratus]

How they take notes and revise them, how they attend lecture, how they approach problem sets (eg how much time they spend, who they study with and how, how quick they are to look up an answer and dually how often they long with a problem after it becomes unproductive, etc.)

The other big factor is just how much mathematical maturity they have I think

[winged crow]

Are you an A student by chance? If so, what insight can you give more for the second part of the question.

[edgy bronze]

which topics or where can i find a list of (in order) things to learn?

im in year 10

i can send a list of the stuff ive been taught if neede

[red rapids]

Your school's affiliated educational board's website more often than not if you're asking specifically for school wherever you're at.

[edgy bronze]

not specifically for my school but js like tryna go beyond stuff ive been taught

[edgy sierra]

was wondering if proving a theorem mentally is as good as proving a theorem by working it out on paper

[signal bay]

Maybe nah

You cant really keep track af it in your mind

[edgy sierra]

i can kind of keep track of it

[signal bay]

But like

Writing it on paper doesnt burden your mind as hard

[green terrace]

no

You should try to write the details on paper

especially if you're new to proofwriting

at some point you'll be able to make small leaps yourself mentally and your proofs may get slicker or you may not need to write down as much, but at the beginning, you should be working it out

Funny enough, I had this exact discussion in the #advanced-lounge yesterday

[unreal mulch]

No, there are especially many gaps you might think they're intuitive or obvious in your mind, but hard to formally justify on paper.

[green terrace]

Hey catgod

long time no see how goes it

[unreal mulch]

Hello TCC!

[unreal mulch]

I'm quite busy rewriting my personal website right now, along with other university projects.

[green terrace]

Ah nice, we graduated on Friday

[unreal mulch]

Congratulations!!!

[swift tartan]

Congrats! 🎉

[rocky terrace]

Are you the god of all cats?

[red rapids]

They're beginnin' to feel like a Cat God, Cat God
All their kittens from the front to the back nod, back nod
Now, who thinks their paws are long enough to slap box, slap box?
They said they meow like a robot, so call them Cat-bot...

[barren remnant]

Has anyone studied Stewart's Calculus?

[green terrace]

Yes, it was...fine

nothing to write home about

[willow temple]

so im taking calc bc next year and was wondering if anyone could tell me how feasible it is to teach myself the course contentes over the summer

[iron wagon]

very doable

summer break would be more than enough time to prepare

[iron wagon]

yeah, it's good tho it doesn’t cover enough vector calculus.

[shadow sinew]

is there a point studying for my physics test if i already failed my last 2, like i see no point

[signal bay]

The point is that
1 you can somewhat save your grade
2 learning is good, if you study this time you will get better
3 even if you need to resit, studying is better than not studying

[shadow sinew]

my averag is a C-

[signal bay]

Errr it still applies

[shadow sinew]

@signal bay also there is literally no one to help me

[shadow sinew]

cant tell if u are joking or being serious

[scenic shuttle]

<@&268886789983436800> shitpost

[hoary kindle]

Keep it on topic please

[willow temple]

how well do you think id be able to cover the entirety of the course contents if you dont mind me asking.

[blissful iris]

Hey how does one study to get better at math. Is it really sitting down and just solving problems. My retention for math is very low it's in one ear and out the other. I learn and then forget. Is there a way around that.

[velvet marsh]

practice, link stuff to real world

[blissful iris]

Thank you. When you say link it to the real world does that mean I should think of everything as math problem.

[velvet marsh]

Not everything

but certain things have common real world applications
like exponents with compound interest
mechanics/parabolas with sports/projectile motion etc

[blissful iris]

How does one get into learning about this. I'm very out of touch with math and want to learn it as a life skill. Are there courses that you know of.

What you just said seems like rocket science to me.

[fluid loom]

Uh

[iron wagon]

I don't know about ur math background, but imo it’s possible to study all the calc bc material over the summer and be prepared to get a 5.

I didn't do ap calc bc and did IB math AA HL instead. But I roughly know what AP calc bc covers, and imo, integration by trig substitution is the hardest topic, tho it’s not that hard if you practice. Some people say series is the hardest, but I personally found it very easy.

[zinc pawn]

going off that previous discussion, do you think it's possible for one to go from algebra (starting point being functions) all the way to precalculus during the summer?

I'm in college now and for a math credit to count for my degree it has to be calculus I or higher, and I would not be able to do well enough in the placement test to do that right now 😭

and if it is possible, is there any other resources besides khan academy that could help

[rotund zodiac]

i think it's possible for sure! you'll need to brush up on your trigonometry though, that is what most of precalc is building on. if you're in college, see if there's a precalculus course and you might be able to get the course notes for it :)

[ionic delta]

yo wsp

@noble pike

@thick shadow

[zinc pawn]

does anyone have good resources for ALEKS? or is just khan academy the best bet

[frank marsh]

guys my parents hate me when I get a B

they stop loving me as soon as I get a B in a subject

[signal bay]

Either talk them out
Or pull the lock yourself in room strat

[obsidian wigeon]

start trying harder to get C's

[frank marsh]

i did the pull the lock yourself in the room, and they told me that if i did it again, they'll remove the lock from the door 😭 🙏

[red rapids]

The perfect parents ✅ 🔥 💯

[red rapids]

Yes. It is to teach you how to re-attach the lock. Since you can't even do that and will cry about it online.

[frank marsh]

you won't get it vro

[red rapids]

I actually do, but idgaf. This space is for #study-discussion. What you're looking for is therapy.

[frank marsh]

ok

[storm tide]

Not therapy as such, but probably some kind of support that a math server like this is not geared to provide.

[quick elk]

and yet every day....

[red rapids]

Everyday what? You get a B?

[jovial bluff]

guys i need help with math,i dont have work because i procrastinated,the argument is trygonomethry and its just the basis,the first 2 theorems and the theorems of the rope( i hope its called like that),in 2 days i have my final exam and im cooked,what should I do?

[red rapids]

Have you done the go try no metry?

Not much you can do but that

[jovial bluff]

am I doomed?

[red rapids]

So long as you stay online instead of working with what little time you have, probably.

[edgy sierra]

No you study by doing the problems on the exam

[red rapids]

https://tenor.com/view/joke-stickfigure-not-affected-gif-14391548

[edgy sierra]

Wish i could shitpost too but i already used my gif for the week

[quick crane]

What's a good book on vectors? And what's another good one on linear algebra?

[edgy sierra]

axler

[quick crane]

I primarily need computation, not proof. (I heard Axler is quite proof heavy)

[wanton cradle]

strongly recommend a great balance of computation and theory in linear algebra done wrong. for even more computation linear algebra and its applications (lay, lay, mcdonald) is pretty good

[quick crane]

I need it for some engineering projects so the real concept is coming from physics. So yeah thanks man!

[quick elk]

I meant contrary to what Trop said, every day there are people doing the opposite here

[unkempt gorge]

I got an A- 😭

[quick elk]

how did this become about grades and not the therapy seeking🤡

[unkempt gorge]

Can I get some therapy, my GPA just got lowered

[remote ingot]

For my Calc II in Fall, I’m having to brush up on my math knowledge since it’s been almost two years since I took and passed Calc I, what focuses/concepts from Precalc, Calc I, and potentially Algebra should I know/memorize in preparation for that?

[keen dock]

partial fraction decomposition is pretty important

so is polynomial division (i think that's what it's called)

[remote ingot]

What’s that?

[remote ingot]

I know what that is.

[keen dock]

consider a fraction where the numerator is a polynomial of degree n and the denominator is a polynomial of degree m where m > n

partial fraction decomposition is basically where you can turn this fraction into a sum of fractions where the denominator of each addend is a linear term that divides the polynomial in the denominator in the original fraction

but this is prob a terrible way to explain

[remote ingot]

What’s A and Bx+C?

[remote ingot]

In this case?

[keen dock]

A, B, and C are the variables youre solving for

in partial fraction decomposition

[remote ingot]

I see.

How do I solve for those in that case?

[keen dock]

it's been a while since ive done it

but there are plenty of videos and resources out there

good luck with calc 2!

[remote ingot]

Sure.

[remote ingot]

One last thing before I go. How do you rate a course like this vs. “The Art of Problem Solving?”

[keen dock]

not sure what you mean, can you clarify?

like the difference between calc 2 and that book?

[remote ingot]

Oh shit I forgot lol.

https://tutorial.math.lamar.edu/classes/calci/calci.aspx

I mean THIS course.

[keen dock]

oh i see

[remote ingot]

I’m currently using “The Art of Problem Solving” books, precalc first, BUT I was also recommended that course so I’m split.

[keen dock]

what are you split between?

[remote ingot]

Whether or not to use the books or online course because I am currently using the book BUT I’m not totally satisfied with it as an education course.

Because while it has a lot of problems, unconventional ones too, and it explains how to solve them, why this way, and what pitfalls there are.

I don’t really feel like it teaches you how if that makes any sense.

[keen dock]

oh I see

just choose whatever feels best

[noble saffron]

Yo guys, i want to learn more about math, any tips how i could do that (and i don't mean practice, but rather resources and maybe approaches on for example what to do if i can't start a problem or am stuck on it, like should i try solving it on my own for an hour first and then consult with ai for example or?)

[steep grove]

can i ask what specific curriculum u have

if its uk, i can help you

[noble saffron]

Not uk

[steep grove]

hmmm. i would tell you to ask for help.

there are certain situations which i would want you to be stuck on the question for an hour but that's for more complicated questions/tests which require you to develop your problem-solving ability

even then, sometimes you need to just seek help so you can learn how to answer it

[noble saffron]

Well yeah

I just feel like oftentimes my mind tries to look for a visual answer first and that's why it doesn't click that i could solve it differently

Like sometimes my mind doesn't click into math stuff at first

[steep grove]

how do you approach math questions?

[noble saffron]

It depends

[steep grove]

that's a bit of a weird question i think

[noble saffron]

It all depends on the certain problem tbh

[steep grove]

i would say to not memorise how to solve a question

understand how to solve a question

solving math questions is a series of logic

you just need to understand the logic

[noble saffron]

Yeah, that's what i plan to work on

[steep grove]

do you do other subjects?

[noble saffron]

Understanding the principle and being able to visualise it

[steep grove]

is maths your main subject or one of your "other subjects"?

[noble saffron]

Wdym by this

[steep grove]

like for some people

math is the subject they like to focus the most on because they like it

for other people, it might be just another subject to them that they want to pass

[steep grove]

this server is always here to help you for this btw

[noble saffron]

Well i had a rough journey with it, i used to be alright with it (not fully into it, but be alright/best among my peers), then later i didn't have great teachers and lost all hope in math and some time i had a better teacher and i started thanks to that and math videos getting interested, so now i try to rebuild my foundation my way, because the school approach didn't quite work for me

[steep grove]

for me, math is my "main subject" (i studied math, further math and computer science in school).
for my friend, math is his "other subject" (he studies biology, chemistry and math - he wants to go into a medical field so math is just another subject he wants to pass)

i feel like theres a difference

because i can afford to spend more time doing math

he has to multitask other subjects along with math

[noble saffron]

It's just that with visualisation i usually try rather looking for videos with animation because those are great, unfortunately there aren't for everything

[noble saffron]

Oh like that

Yeah, math is a main

[steep grove]

oh thats good

then it would be easier for me to help

[noble saffron]

Also computer science lol

[steep grove]

i was a little similaar to you ig. at some point, i stopped liking math as much but when i got into understand how certain stuff like trigonometry works, i started liking maths. and bc of that i chose further maths.

[steep grove]

thats good

have u seen 3b1b?

what topics do u struggle on

[noble saffron]

So you can relate

[steep grove]

not entirely

[noble saffron]

Subscribed, but found his videos to be quite advanced, at least from what i remember

Haven't seen his videos for some time now

I used to watch the organic chemist

[noble saffron]

I can't really say, so it's mostly like i just get some stuff and some don't, it's not even like topics per se but like just parts

Can't really explain, someone would have to see my whole math career or something to understand what's up

Also i just seem to be absolutely a pain in the ass when i try to explain this stuff to people, because i can't explain and sometimes it's just me not understanding it fully

[steep grove]

can u name something in particular

have u asked ur teachers or classmates for help on those parts

they may help you to understand

see if you can steal some free tutoring from one of the top students

i used to do that

some people like to help

[noble saffron]

My classmates usually just take stuff at face value, they don't have in depth understanding of things and the teacher doesn't have time to deal with stuff

[noble saffron]

Functions

I usually find that it is one of those things that can always startle me

Or even like area and such equations for shapes

[steep grove]

do you mind me asking you how old you are/what grade you're in

ig i was lucky to do further math (pretty much a class full of math nerds) so i had access to better support bc of that

students who won't take stuff at face value and try to understand in-depth

[steep grove]

what part of functions do you struggle on?

[steep grove]

what particular ones do you struggle on?

[steep grove]

still, I'm sure there are some of those students around

do you have a study room in your school?

if so, you can find those types of people there

there's always this server as well full of people who will help

i understood a lot of concepts from people in this server

who take the time so you can understand properly

[noble saffron]

It's hard to explain everything, it's oftentimes stuff when they give you an equation and don't explain how it is derived and stuff, like equation of area and stuff like that

[stoic viper]

hmm, are you talking about integration and stuff or like about finding the area of shapes in geometry?

[mental ingot]

Most probably about areas and volumes, mensuration.

[red rapids]

#book-recommendations message

Don't really know exactly. I do recall being swayed into the engineering landscape early into my high school. What probably helped me unlike many others of today was how prevalent Kalam was during my childhood as an inspiration to the youth. That probably helped me stick to my guns and the dream was always about learning and doing something special. The notion of what's special has evolved over time for me though.

Furthermore it helped that I got a full scholarship to study physics at a good institution while I deliberately appeared for and failed at almost every opportunity to get into an engineering school. So I kinda sabotaged my parents' goals for me. Yet I was still registered to an engineering programme against my will via my board exam grades (I was still a minor going into uni). But the scholarship helped me ignore that lol.

Today's inspiration for the youth are sadly jingoistic political leaders with fake degrees and businessmen in the corporate world writing BS self help books. Moreover the entrance coaching industry is at an all time high with its marketing campaigns and social media glorifies these things to the point where the youth doesn't know what options they have.

Worst of all, this kind of narrative dominating peer and social pressure also makes most students in India not think critically about what they want to do and how to look for means to do so. There's also the fact that the school culture doesn't allow much wiggle room for students at an impressionable age to read good books. Reading can often facilitate said critical thinking.

Honestly could do really good research on this lol.

[mental ingot]

Interesting, my friend is Indian and he complains about being forced into engineering.

That's why I asked.

But on the politicians point, India is indeed in deep shit.

[red rapids]

It is quite common for engineering and medicine, both. Even from back when I went to uni. But it's far more now than ever because of the entrance coaching industry being bigger than ever and the social narrative spinning a web around the youth.

[mental ingot]

He told me that a bachelors in science is usually looked down upon in India, B. Tech being the preferred degree.

He will probably find a way to do mathematics somehow, I hope, last time we talked he had his JEE exams, we haven't talked since.

[red rapids]

Nearly all degrees in India are a sham lol but yeah B.Tech and MBBS have a prestige tag associated to them. What doesn't help is that the B.Sc tag here comes mostly from colleges that have subpar curriculum and take in primarily engineering school rejects and less so people who want to do science. What's even worse is the looking down on humanities and social sciences from as far back as middle school.

There are very few exceptions to having good unis serving up a B.Sc for students with reasonably modern curricula.

[mental ingot]

Sad state of affairs.

[red rapids]

It's not so great at the M.Sc or PhD level either but at least the top tier institutions are less competitive because most of the talent either left the country or got eaten by corporate slavery.

[red rapids]

Very very tough really if he gets into an engineering institution in the country.

[mental ingot]

I have heard of TIFR and IMSc though.

[red rapids]

Only grad school and good grad school but one should also consider the crop they're picking out of.

[mental ingot]

Rest in peace then.

[mental ingot]

What do you mean?

[green terrace]

Kalam as in Former President APJ Abdul Kalam? (I have a funny story to share if so)

[red rapids]

The graduates come primarily from the sub-par colleges I alluded to with the exception of a handful of engineering grads who prepared for this. The guys who apply for these schools have to go through an exam that is not even as hard as JEE Advanced and it's for grad school. The only thing that's probably a challenge relatively is the breadth of content but it's still only one subject you're writing for unlike JEE Advanced. The objectively lower difficulty level should tell you something about the subpar expectations they have of the students applying for such top tier grad schools. What's worse is a vast majority probably has no exposure to research and has been taught science in a rote manner without any of the soft skills you'd expect developed to some degree by then.

[red rapids]

Indeed, the same Kalam.

[mental ingot]

That's a shame.

[red rapids]

There's opportunity to switch majors in some good colleges tho if your friend is in one. If he takes that and the place has a half decent math programme, maybe he can get somewhere.

[mental ingot]

Let's see.

[green terrace]

I had a chance to meet him back in 2011!

[mental ingot]

I don't know what happened to him.

[green terrace]

Though I didn't, at the time, realize how much of an honour it was

[red rapids]

Yeah. It's a shit show of insane proportions lol. I would love to write an entire book on this.

[green terrace]

My dad however, had actually worked with him for several years while back in India and before he came to America after his postdoc in Switzerland

[mental ingot]

I think we have talked before, you are quite fond of writing books.

[red rapids]

It wasn't exactly that difficult post his tenure as President, which I think ended in 2007.

[green terrace]

That is true, though at the time we didn't have a lot of chance to leave the city I was born in due to money issues so it still was interesting in the sense that he'd come by very close to where we used to live

If things had gone a bit differently (less racism in the hiring process), my dad probably would've been in, and still been in the DRDO (but due to racism and some other stuff at the time, he didn't get the position)

[red rapids]

Damn. Your dad must have some nice things to say. Never heard people say anything in poor taste about Kalam honestly.

[green terrace]

Yes, he's had quite a lot of good to say about Kalam

[red rapids]

Hehe. Except I haven't really finished any that I've started, yet. Hope to change that starting with the end of 2026 or early 2027.

[mental ingot]

What is DRDO?

[red rapids]

Yikes

[red rapids]

Defense Research and Development Organisation.

[green terrace]

I forget the acronym, so I'll let Killuminati answer

[mental ingot]

Same, except I don't know enough to write any.

[green terrace]

Yeah apparently someone there basically told him to his face they didn't want any north indians (in less polite terms) in the position and was overall super snarky to him through the whole process

[red rapids]

Probably the most well funded research institution in India and also one of the most corrupt lol.

[green terrace]

(my family is originlly from the far north but moved to the south about 100ish maybe a bit more, years ago)

[mental ingot]

Huh

100 years is a long while.

Practically south Indians at that point.

[mental ingot]

Ohh, I remember

He spoke of some institutes linked to DRDO or something

NIER or smth

Idr

[red rapids]

Weird. Many North Indians were instrumental in setting up DRDO afaik. Vikram Sarabhai being an important one among them.

[green terrace]

Yeah this is also what I have been told about this

[red rapids]

Not if you've got interesting ideas about arranged marriages which have to be caste, religion and community specific.

[mental ingot]

I see, India is complex.

[green terrace]

Also, IDK if this fits as a study question, but I'm looking for some general advice ig, my undergrad GPA wasn't the best but I made improvements in my last year-year and a half of classes and got mostly A's in everything, how would one phrase this if applying to grad school?

[red rapids]

Enough that I hardly ever see it in my eyes as a proper country besides in name.

[mental ingot]

Hmmm, its rather diverse.

Probably most diverse place after Africa.

[green terrace]

Oh also probably a better fit for book discussion but I was wondering, if I wanted to learn a bit more about rhe history and diversity of india, where should I look?

[mental ingot]

I think that prime minister of India wrote some good books

The first one, I forgot his name.

Jawaharlal Nehru.

[red rapids]

Too bloody dense to be contained in a single book even as a summary. Each region is so intricately diverse and since for a very long period of time the subcontinent had no centralised power structure it's difficult to trace as well. You'd have to get more specific imho for better details.

[mental ingot]

I started reading about India a little after reading the Bhagavad Gita.

[red rapids]

Yep. Quite possibly, except Africa is whole ass continent around 10 times larger than India.

[mental ingot]

Interesting culture so different from my own, I was shocked to see that in Hinduism, apparently, heaven is not the goal.

I think Indian religions are very sophisticated compared to others, maybe because Indians had time to think about this kind of stuff.

Too off topic.

[red rapids]

Depends on which school of Hinduism you consider. The Mimamsa school is heaven seeking but most are seeking liberation roughly speaking.

[mental ingot]

That too, just so overwhelming.

[green terrace]

Alright ty

[red rapids]

Idk if you need to convey that really. To my knowledge, most reasonable grad schools (excluding engineering programmes cos idk much about them) are concerned with what you bring to the table more so than why you did well or poorly in specific things. Depending on where you apply the cultures can vary so you had best ask ppl specific to the school itself for advice maybe.

[green terrace]

yea I'll be talking to the grad coordinator at my uni (as I'm planning on just applying to where I did my UG)

[red rapids]

I went to grad school in Germany and even worked with the admissions committee of my uni for a while. Over there we just vet the profiles and see whether the degrees are of substance rather than on paper only (usually some telling signs) and ensure they have above average grades. This benhcmark shifts a lot for scholarships or restricted admission quotas and there we care more about recommendations as well.

[green terrace]

ahhh

[red rapids]

I think the vetting is also because we get tons of applicants from the subcontinent lol with either fraudulent degrees or paper degrees where all grades are maxxed out but skills are zero because they used cheat codes like previous year papers and copied assignments with really subpar courses not much beyond the high school level while pretending to do a bachelor's on paper.

Even so, some people slip through because of the liberal process lol. And I've seen some terrible practices by some of these people. At the scale and pace at which this tends to happen I'm not even surprised by some level of institutional racism there given they're literally being paid to do work as a TA or an RA quite liberally but they do absolutely nothing but cheat and plagiarise. Even if there's a strong minority doing good, these cases stick out like a sore thumb and put a bad taste in everyone's mouth.

I recall one peer of mine getting banned from a lab for literally pasting screenshots of some random dude's lab report because "he didn't know how to code" (ffs just use excel/sheets?).

This doofus somehow later became a TA for a scientific computing course lol (which he "proudly" aced by cheating) where he basically would miss the tutorials and didn't hand any feedback to the students for their work. Idek if he bothered checking.

A handful of cases like these lol.

Oh yeah. Also know a guy who couldn't add two rational numbers (I am strictly not exaggerating) starting his grad school somehow with a scholarship and wing it with heavy AI usage and making other people do his work for him and now he's doing a PhD related to quantum simulations lol. Make it make sense . The guy failed an advanced quantum mechanics course I tutored in and from what I could see he didn't know anything. Somehow probably through a lot of rote memorization and mimicking how some of his peers would solve problems with access to older papers he passed the course in his second attempt. Till date Idt the guy even knows what he did or is doing. 💀

[mental ingot]

What did I just read lol

Fallen world.

[signal bay]

how.

how

this is dystopian

[crimson elm]

It doesn't sound crazy lol

It's common

[red rapids]

Beats me and this is not an isolated case. Enough people somehow hack their way up to very good positions and then start lording over ppl with admin work because they're good for nothing else lol. Although this is one of the worst cases I've ever seen. Man was carried throughout his masters and somehow weaseled his way into his master's thesis defense and onto a PhD. Academia is kinda built on trust tbf, so it's possible the group lead and his immediate supervisors just assumed he did the work himself.

[red rapids]

Crazy is what Jan Hendrik Schön managed to pull in the early 2000s. In a few decades we might know if he was actually nominated for a Nobel

And given the wealth of AI slop that slips through peer review these days, it's not very surprising to me having seen such cases actively.

[main trail]

cheating I suppse

If it's not being able to add two rationals unironically....

[signal bay]

Adding 2 rationals is like the most trivial stuff ever

5th graders can do it

But like

[main trail]

who needs to add them explicitly 🥀

Just prove your ring has a subring isomorphic to Q

[main trail]

Wait, you're a professor?!

(I ask ask you have the UG -math role but you tutored a masters student?)

Sorry if this is creepy

[crimson elm]

creepy wai smh smh

[main trail]

hey 😭

didn't mean to 🥀

sorry

a less funny story on a similar note from my side

so we had a simple quiz question : Show that from an interval there can;t exist a continuous function mapping onto two disjoint intervals

IVT , simple enough.

Nowe we hadn't done path connectedness and some wonderful people decided to use path connectedness in their answers

||They couldn't defend themselves when the prof asked them 😭 ||

[signal bay]

So you cant have f : [a;b] -> [c;d] and [e;f] be continuous or sth?

[main trail]

Unless I've made a mistake. no? because then IVT isn't satisfied is it

[main trail]

by mapping onto I mean the imahe

image

[signal bay]

What does it mean for 2 sets A and B to be disjoint again, there are no common elements in A and B?

So $A \cap B = \varnothing$?

[mossy shadow]

∫ (larp larp) dx

[red rapids]

No no. Lol. Some day soon, but not even close rn. Although could've been in India given how shit works here

[red rapids]

Idk why I didn't get the PG math role, I did ask for it. Maybe the mods that decided my fate deemed not convincing enough and also my masters was in physics even if my work was mathematical physics. Maybe there's some specificity to the role. Idc really. It's just discord lol. Doesn't matter.

As far as tutoring grad courses go, it's quite common in my alma mater and many other places ik if you've done the course already and have an agreement with the professor on top of a WHB (Scientific Assistant with a Bachelor's Degree) contract in Germany. I tutored two grad courses and three undergrad courses during my time as a student as side quests while doing some cool math courses alongside my thesis after my official coursework was done.

[main trail]

ah, cool

[red rapids]

Why would they if they didn't know how it works? Unless it was some take home quiz thingie or ppl were cheating using AI?

Or were they just needlessly overcomplicating things to show off and got caught for it?

[main trail]

Basically a take home quiz as classes were online due to a personal emergency on the prof's side

oh it gets better, trust me

the quizes were open book

and the prof said as I can't stop you from using AI if I feel you're using AI you better be able to explain what you've done

so they failed on every front

[red rapids]

Quite the smart way to avoid over-reliance on AI.

[main trail]

tbh with this prof things were unconverntial to say the least

you had to meet him once a week for 30 minutes

(these were scheduled meeetings)

during which your quizes would be corrected in front of you with cross questioning if needed, and you'd get partial credit attempts too, and the chance to add detail duing cross questioning

(along with assignments which were given at the start of each topic and due by end of sem, with corss questioing and multiple attempts and all that again)

[red rapids]

We had a prof like this for our analysis course in our undergrad. Had a great grading system. Quizzes and assignments were scored very strictly with the scored being upgraded if you're able to defend your proofs and fill in the holes he expects you to fill in.

[main trail]

yup, pretty much the same for us

midsems and endsems were quite easier

[red rapids]

Would you mind giving his name? I wonder if it's the same guy somehow lol.

[main trail]

but followed the same system and one question in the midsem or endsem could be double credit( of your choice)

[main trail]

Sanjeev agrawall

[red rapids]

Same guy

You're from SNU huh

Yep

Did my bachelor's there

Small world

Yep. So was Amber. Met them recently a few months ago when I visited.

We had that back when I was there already. They removed it in between eh?

Pradeep used to take it (nightmare lol)

He would make more mistakes than correct statements in every lecture lol.

[main trail]

Can I send you a friend request if you don't mind

[red rapids]

Yeah too off topic here too

[green terrace]

<@&268886789983436800>

[uneven jackal]

#math-pedagogy message

[uneven jackal]

Ooh.
I wanted to ask that "Why did you held back yourself from learning logic and proofs in mathematics ?", "were they uninteresting to you, or something else had happened that stopped you to learn them ?".

And, can you tell me that, are you currently interesting in Proof-writing, proof-theory and mathematical logic ? If not, then why is that so. conversely, if yes, then how much and why ? (just curious)

Furthermore, can you also tell me that, what are you going to do for it and Are you planning to learn them ? (again, just curious here)

@stray lion

Aah, I see. But I am not really talking about reading them in a multi-tasking way, what i really meant by "reading two books at the same time" is, kinda treating both of the books as one. So, when reading a certain topic from one book and if not satisfied with the explanation (or wanting something more that the former book is unable to full fill) then move to the latter for the same topic for that fulfillment.

And also, when wanting to explore a specific topic that is not in the former, but is in the latter, then the latter may be used as well.

Similarly, in the case of trying out some exercises (or problem sets) from the latter, Or finding out an alternative explanation, it may be useful here too.

<@&268886789983436800> me breast

Mr beast*

Can you elaborate?

[stray lion]

I felt, uninterested because I never delved myself into the realms of proof writing, because it deemed too "hard" for my taste. I find solace in doing numerical computations more. Although a rigorous approach to maths is of course proofs.
I just never got around to liking them. But I'd definitely explore the realms of a proof based math. I'd start with learning the basics for it, like to write proofs, notations and such, then take one step at a time, until I get better. For resources I'd use books, one specifically comes to mind by jay cummings, maybe there are better ones, but my knowledge is limited for this section of mathematics so I'd do some research first.

[red rapids]

Now we know who is behind all the scams.

[fleet portal]

how do you guys remember all the stuff like statistics concept for a long time?

i really want to know

??

@red rapids

[frosty gate]

Guys did somebody here do the Harvard cs50 course here?? If so which year playlist did you follow??

[red rapids]

I don't have anything to contribute to this. I rarely remember things. I just think for myself and work things out when I don't. Be it Statistics or otherwise.

[frosty gate]

(Asking cuz there are just soo many of thrm and im not sure if all of them are the same or is there any difference in the course syllabus )

[red rapids]

The course titles literally tell you what they are.

[frosty gate]

Ikk it’s just sometimes certain topics are deleted sometimes

Or maybe they just rush over certain points

(Speaking from experience)

[red rapids]

You cannot conver everything in a single course anyways.

[frosty gate]

Hmm true true

[red rapids]

So what precisely are you looking for is what's important

[frosty gate]

So far I just want to cover the basics before I start uni

[red rapids]

Basics of what? Seems like you've yet to see even the course titles lol.

[frosty gate]

Basics of cse

Coding

Algorithms

Discrete mathematics

[red rapids]

They're all very different things

[old mirage]

arent those a bit vague?

[red rapids]

And very broad too, aye.

[red rapids]

For this you can check out CS50x

[old mirage]

it's like saying "i wanna learn STEM"
"what specifically?"
"just science, technology, engineering, biology, mathematics, etc"

[old mirage]

if you want a specific language i know a guy for python/c++/c

[frosty gate]

C++

[red rapids]

Not the best idea to be language specific at the very start.

[old mirage]

ik a guy if you want his channel but i'd reccomend starting with python if you're still a beginner, considering you said "the basics"

[red rapids]

Good resource for later.

[frosty gate]

I mean I did do python at school for 2 yrs , but sure what’s the channel name??

[old mirage]

bro code

[frosty gate]

Thanks

[old mirage]

ik the name is cringe asf

[frosty gate]

Lol it’s fine, thank you

[old mirage]

https://www.youtube.com/@BroCodez this guy

[red rapids]

I strongly recommend avoiding learning a specific language if you're beginning and only know Python. CS50x is the better choice and you'll see a little bit of everything for good reason.

[old mirage]

is it really that bad to start language specific? i did maybe im biased

[red rapids]

It will help you adapt to think about how and when to use what language and troubleshoot things when you inevitably work with Agentic coding.

[frosty gate]

Hmm I seee

[red rapids]

It is, because you probably never know use cases for others. Having a multi pronged exposure is better.

[frosty gate]

Which language did u start with??

[old mirage]

python then C++

[frosty gate]

Nicee

[old mirage]

TECHNICALLY i did scratch in the 3rd grade but, it's frigging scratch bro

[frosty gate]

Ikrrr, I do t even know if I should mention doing scratch as a kid to ppl🥹

[old mirage]

i just dont usually mention it

holy crap the memories bro
my entire class couldn't even comprehend that x is horizontal position and y is vertical position

[frosty gate]

I mean as a kid it was cool n exciting but looking back now idts id have gone out of my way for it

[frosty gate]

Lmaoooo

[red rapids]

Most kids tend to get confused when they see variables for the first time. The association is not the easiest to make for many. This struggle carries over to further studies where people fully capable of procedural things in abstract mathematics rarely have solid intuition behind them.

[old mirage]

the disconnect between this message and your pfp is unbelievable (no offense)

[red rapids]

Huh?

[old mirage]

nothing just ignore what i said

sorry

[red rapids]

I'm just confused lol. What disconnect? What does my pfp have anything to do with this lol

[old mirage]

your pfp is just, overly memey, and that message seemed so extremely serious uh idk how to explain it um

[feral grove]

how do i break into quant

[nimble wind]

Are you an imo gold medalist?

[unkempt gorge]

The same way you break into the european chicken coop market

[feral grove]

yeah

im also 6’5 and lightskin

[nimble wind]

You are a manipulator too?

[feral grove]

still working on that

[lavish carbon]

Can you do Stochastic Calculus with just knowledge of Calc 1 and 2
Or do you need Multivariable Calculus as well?

[edgy sierra]

No

[red rapids]

You also need probability theory and statistics but ofc multivariable calculus before that. Ideally a lot more than that but these things are enough to start.

PS: Pleased to meet The Once and Future Butcher of Blaviken.