#study-discussion
1 messages · Page 10 of 1
no, i’m at a community college
also my hs grades were not good
but what are you studying in community college ?
i thought community college only went up till DE or real analysis at best forget grad algebra
i’m just going through the vector calc sequence
remember tao’s advice
who is tao
terence tao is a rather famous mathematician
?
would they be better than me at math, if you had to estimate
i don't know who you are
if i had to guess i would guess he is better than you
but i don't have to guess so i won't
if i lived under a rock i think i would be crushed by its weight
Trolling? Impossible
How else could you go outside in the daylight and remain unstoned?
Alternatively, you have no problem being stoned all day
i live in scandinavia so actually there is no daylight
that's clever
it's not clever, it's too cold
would you prefer to be stoned?
yes but not illegally so i'd have to go the netherlands or something
The most I've seen at community college is MVC and LA fr
how can someone get a 2.5 year math degree with mvc and la 
my country has one of the weakest math educations in europe and on avg after 2.5 years people have often seen complex, top, measure, abstract alg, diff geo and more
It's only 2 year, and the general education requirements fr
o i thought it was 2.5
bru
at end of 4 sems here we're taking advanced measure theory
Then don't forget you have to take 2 foreign languages and 2 gym classes
thank the lord i ain't doing these gen eds
i'd be so behind in math
he's only on campus for 2 days a week, and packed on those days
Sounds depressing
I hate British winters where it's only bright out 8am - 3pm
Do u have extra long summers then? Like 2am to 10pm daylight?
People here would kill for 60s and 70s
That's a grade A or B
He came to my school once
Very good teacher
Weakest math ed in Europe better than strongest math ed in Canada
in uni? I get this a lot
not even in uni
hs too
they've recently been making the papers easier tho 😭 so the boundaries are getting higher
in a level maths 2019, boundaries were like 56 for an A
now its like 74 for an A
did anyone call me?
lebanese tao fr
We are just better
Well I guess nothing can really be done on that front unless you ask around at your uni for more resources or find them on your own (the latter you've kinda done already being here and stuff).
You're not going to just magically stop getting stuck on questions from time to time though. It happens to everybody.
A lot of the time you just sit fooling around with problems and ideas, doing calculations, looking through books and websites etc until you find something that helps you make progress or you give up.
Solving hard problems can take a lot of time and effort.
not allowed :(
These are assignment problems
so graded , and no help allowed
The intention of those is that you attempt the problem at-least somewhat on your own, in most cases your uni isn't going to like...dismiss you because you asked for help on some particularly tricky algebra or analysis problem
They will dismiss you if you cheat in many cases, but asking for help and then acknowledging it isn't cheating
Especially if you ask a TA or a professor
Well the prof's instructions says so
This course has no TA
tbf though, I spent one month on a problem only to finally crack it( it was actually easy tbf), the feeling of joy is incomparable
@green terrace
well, wrong ref
one min
I mean, it depends on a lot of specifics.
Surely you are allowed to sit and think about problems.
.
Not sure what they expect you to do then.
Crack it ourselves I guess
If this is the case the instructor and/or the admin folks are the people you should talk to.
What I'm describing IS how you solve a problem.
You try some shit, if it works you're done. If not you review whatever resources and tools are available and try again.
I do that, yea
Yeah I figured you do.
I am getting better at this tbf
If it's not enough, then you need to reach out to other people. In this case if using other sources is not allowed, then you need to go thru your instructor.
It gets easier as time goes on.
a lot of times, the answer was in front me , I just didn't see it[ Was overcomplicating it]
Yeah, that's normal.
Fwiw, there's only so much they can really say/do.
Like, if you teach yourself some analysis shit like mvt, they can't force you to unlearn it.
Say you do this before the course starts
That does make sense, yes
Have you cheated by knowing the proof of mvt because you decided to learn it in advance? Absolutely not.
Yea, I get what you mean
Now, getting an assignment and immediately hopping online and googling all the answers is not gucci provided they explicitly disallow it (and even if they don't you shouldn't do this).
I really do think you should talk to your prof or somebody at your school regardless of how busy you think they are about this.
The intent behind these policies is probably to force you to actually take the time to struggle and learn the material. Probably not to just fail you.
I have. The issue is most students won't stop at discussing ideas.
I'm contacting your school as we speak. Prepare for the incoming expulsion.
They'll discuss the answer , is what he said.
(Jk)
What does he say about how you can get unstuck when you are stuck?
Well, he does give hints if you've shown a serious attempt to that question
The goal of your homework is surely not to show you problems you won't be able to solve lol.
Ah yeah, that's fair.
Well, then show a serious attempt and if you get stuck be annoying as fuck for those sweet hinty bois
I mean I am starting to appreciate it. And he has been doing this for 30 years , so he knows what he's doing I suppose.[ And that's just for teaching RA]
Yeah, he's not totally wrong about trying to force people to really try the problems.
Sitting around being stuck and confused is kind of a natural part of doing math in general.
I pray every day that my students cheat like this (by learning the material)
That is true. IT's just a shock to the system
BUT, it does make discovering the solutions to a lot of problems so europhic
Not in the same way
the intellectual reward is so sweet
Sweet and sour potato the dsa goat
Data structures and algorithm
R u
Bro needs to be a centrist
Nah wait centrists are both hated and the most liked
Arent people who identify as independent/moderate more likely to vote left
In recent election i think indeps were like 2x as likely to vote against trump
But ik exactly ur political views now
Ohhhh
Yea
I was talking about politics
Of course i do, thats who id vote for
Dw itll only happen if they disagree with the political takes
Why did u joke about that
I thought u were in ur 20s
Did u start uni early or smth?
You seem like you have always been here
Aint no way we are same year
I guess u preferred this to ee or cs server
U seem like a cs person
Dw regardless of what u do, ull be unemployed
We will all be
119 101 32 115 117 114 101 32 119 105 108 108 46
of middle school
(we sure will)
Said we sure be at first
yea, that was an English mistake
anyone else using anki for scheduling review of problems
not for problems but theory yea
interesting can you give an example of what you are doing
say there's a theorem, i type down the connection on the front of the card, and then i try and recall theorem statement and then the proof
e.g if i have a theorem "in a pid ring, all submodules of free modules are free"
My card will be "What do we know about submodules of free modules in PID Rings?"
And the other side will just be statement and proof
ok that makes sense
is there a reason why you dont schedule problems?
that is a problem in some sense
i mean i just do the problems straight away
do you only study things relevant to courses you are taking? Last time i setup anki i started going overboard
here's what happens
you go overboard do a lot of extra stuff
get wrecked in the exam
you learn and start focusing on what's relevant
its amazing. read 3 pages from spivak a day and make anki cards and in a year you will have the whole book done
might be better to put aside n minutes every day
@scenic shuttle this is my main
Now mention this id in that channel
I'm unable to fine that channel
How
I know that you don't know me
do ,iamnot dying
or remove it in id:customize
yeah i dont
iamnot dying
dont forget the comma
,iamnot dying
Removed the studying! role from you.
there u go
We are all dying
u should see #serious-discussion now
albrt camus
Me when I cheat on the exam by memorising the answers before the test
My teachers haven't caught me out yet
Hey i need a suggestion, i did matrices and determinants a while ago
and i was just practicing questions of calculus , encountered a few questions where the propoerties of them would have been helpfull
realised i have forgoten some, like how to use properties
im not sure if i should restart with studying it from start
i did one mistake of not making my own notes of matrices that time ......
restarting would be kinda time consuming and i was trying to increase efficiency of my work due to time limitations
any input is helpfull! thanks in advance!!!
What happens when bro doesnt use anki
(reffering to very basic properties and tricks )
(forgetting them also tells me i never familiarized myself with the same, so maybe i should spend time to relearn the same )
What’s the best way to study pre algebra, algebra 1 and algebra 2
I’m in class 10 in Germany as of now I’d be willing to use anything if it’s good from youtube Videos to books to whatever really
I found this and I’m not sure if it’s considered good for auch a thing
But its extensive
In this course, we will explore all of the topics of a typical pre-algebra course. We will begin by covering operations with whole numbers. Once we understand how to perform operations with whole numbers, we will then move on to study operations with integers, fractions, and decimals. We will finish up the course by l...
khan academy should be good source if u haven't heard about it
the video u sent seems a lot but i feel like its good
Why did they name a site after genghis khan lmao
It was khan academy was used to teach future members of mongol tribe
Im a proud alumni
Khan academy single handedly taught me ap calc fr
Bro the site has such a bad ui
If im unemployed aftr college ill create a better version for both calc and lin alg
Then ill make it free for everyone so everyone gets hooked
Then when everyone is hooked, ill put it behind paymodel and put adds on it
Then i will retire
asian legacy
cant have 1/3 of them not knowing basic math
its just the last name of the founder lmao

Does anybody have any tips for stay focused while studying math? When doing problems I feel like I’m locked in, but when I’m learning new material and not actively engaging my brain and solving a problem I just don’t focus very well or get distracted easily. Anybody else have this experience?
I guess what I’m trying to ask is how to maximize the effort I put into studying
Like if I do math for an hour maybe only 30-40 minutes of that hour was actually spent doing something useful/being 100% focused
try pomodoro
for me i think of it like a reward
focus for an hour get a 10 minute break
you can do different times thats just an example
Hello, I started learning circuit theory/semiconductor engineering/signals and systems. Up to last semester, I could handle the formulas in the book. At some point I'm lost- circuit theory book explains the RL/RC circuit response, which my professor said through separation of variables. I had no idea, so as a last resort I memorized how to solve specific form of a differential equation.
I understand how calculus is critical to explain physical phenomena. Engineering Mathematics course wasn't available to my departments. Internet recommended me the book 'Advanced Engineering Mathematics' for self-study. I am frightened a little, because I feel it's a late start(3rd year, 2nd sem.). What can I do?
You don’t really need to know how the RLC characteristic is derived
Just accept that it is what it is and move on
That’s how engineering goes
Such as, initially energy is stored in the inductor and the capacitoror- at some point the circuit is free of dependent sources, L and C make the current flow through R- the energy is dissipitated?
I’ll need more context to understand what you’re trying to say
From Fundamentals of Electric circuits, source-free RLC circuit response chapter.
At some time t=0 the power source is disconnected from the circuit, and the problem is how to find the decaying response. The book explains the formula through calculus. How should I read this book?
Right, and so the thing to understand about RLC circuits under DC is that they always just decay exponentially to their steady state
And that’s all you need to know
What are you confused about?
have you taken an ODE class yet? usually you learn the methods used for solving second order linear differential equations like these there
imo learn the math from a math book
people do much worse not learning e.g. intro diffyq
or in other cases linear algemra
christ the physics majors here don't need to take a linear algebra class and so only get little bits from other classes and most are rather bad at it
that's very strange tbh
i know right!
I have Howard Anton's Linear Algebra and Dennis G. Zill's Advanced Engineering Mathematics. Are these books good for self-study?
Some people like Axler I hear
though I have heard problems arising from not knowing what a determinant is
I originally learned linear algebra from the 0th chapter of a quantum mechanics book (Shankar's Principles of Quantum Mechanics)
the latest edition of axler fixed determinants
axler is good but as like a second course after doing a more computational first one
because he won't teach you how to calculate anything
e.g. an above average student in a second level quantum mechanics class who only learned that inner products are like projection recently, due to me.
yea he explicitly says in the intro, this is for a second course
and he means it haha
(taking notes in my head, so that I know what to recommend people)
What do you think is a good set of basic books for people? Like calculus, linear algebra, differential equations?
FIS is a good math-oriented LA book that starts from the beginning and has a decent mix of computation and theory
would be my generic recommendation
yeah looking just at dami's recc list it looks like that would be what I'd recc poople.
for non-math types i think a good computation-focused book for la is anton. i've also seen people recommend strang but i personally don't like the writing style
and you know, one day i want to have a child, and there's a fair chance said child will care about math
as far as calc books go all the big ones have essentially the same structure. i recommend the early transcendentals versions (the 'normal' versions put transcendental functions super late for some reason). my personal leaning is toward thomas but that's probably because i used it
Can you tell me more about the book?
like thomas' calculus?
they are titled [book title]: Early Transcendentals generally
for example
these books both teach the same content, just in a different order
i personally think the order is better in the second one
thank you
should I buy the newest edition?
Newer versions are by Pearson and others are Addison. Are there big differences?
the changes between editions aren't huge, so i wouldn't worry too much about which edition you get
if the prices are the same i would get newer though
thank you so much
that said, if you're buying a physical copy, they get way cheaper if you go back a few editions, and the content isn't noticeably different
e
Huh. I had naively assumed it to mean "this is the first and easiest volume of a whole series on transcendental functions that's meant to follow the basic calculus book". 
🗿
Why is that here? I see no attempt from Icarus to post misplaced question.
Oh he's a friend, I'm telling him to actually use the server for math help and I just posted the how to get help link so that he is informed on how to get help
bro is bullying icarus
Nerd
Jarvis list all the real world applications of model theory
I have a book on applications of model theory
I think it's like 50 years old
It references Shelah-Keisler as a new result
Anyway I don't think any new applications have been found
So is it younger than you
...how old do you think I am?
Do u want it in scientific notation
I'm 20 
so young
no way you are 1 year older than me
Imagine being 50 with the name poopoopeepeepants
Imagine being 67
-# (ik it’s cringe)
six seven
ok choco pi
Not even a good song
69420 800815 🗣️ 🔥 🔥 🔥
bro self reacted
nG transformation
"effecting" also happens to be a verb but not the correct one here
indeed
what did you expect from a teacher who makes posters to 6 7 brainrot kids
@coral sleet
to answer, I don't really have any methods for identifying tricks
I just do a ton of problems and hope for the best
I'm really not great at coming up with new approaches with exam pressure on me 
so the solution is solve all previous sessions
got it
Slightly
i would instafail
be glad i dont teach
yes
at that point, i wouldn't sleep
i do that because i agree with what i say
The best strategy is to lean into the memes
By doing them yourself they’ll get uncooler by association
can we create mathematical chambers for anyone who says 67 as a meme
they get put in there and are forced to do a lot of mathematical problems
they'll only be let out once they solve the riemann hypothesis or another unsolved problem
... how many problems?
Infinitely many
To make them a mathematical genius
We could also hold a competition from time to time to have them annihilate each other and promise the survivor to be let out
Hahahaha I was thinking of a certain prime number
23 * 3
those are the only factors
ik because 3 and 23 are prime numbers
so u cant reduce them further
obviously 1 and 67 too
BOIIIIIII
six sevennn
67 is not funny
hey!
so..
I am a high-schooler, into AI, coding, and lots of stuff
I have a very good intuition and I think a good basis but I suck at anything methodical
I feel like I can longer study methodically like I used to do in the past.. probably because I am so theoretically-focused and a bit obsessive when I do that in general
and I need to fix that
how do I do it?
LOL
hi guys i'd like to ask something to yall
im in college and i need to learn limits integrals and derivatives but idk where to start and where to learn them. there are multiple places and i found one and took some notes on derivatives but as soon as i switch the source i see that my notes are not related to the "derivatives" theyre talking abt 🥲
I get it since it's getting trendy now.. but I actually got into it.. also "into AI" doesn't necessarily mean "expert at AI" but without boasting I think I've good foundations and I've been coding for a decent time
Try khanacademy
It's good and I'm not american
I'm glad my size could make you laugh
Some common derivative formulas explained with geometric intuition.
This video was sponsored by Brilliant: https://brilliant.org/3b1b
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to share the videos.
Special thanks to these supporters: http://3b1b.co/lessons/derivatives-power-rule#thanks
...
that's most of calculus
next is defining ln(a) as area under the curve of 1/x from 1 to a, and then using the fact that squeeze transformations (expand one axis by a factor and shrink the other axis by the same factor) don't change the hyperbola y=1/x and also preserve areas. so area under curve from a to ab is the area under curve from 1 to b, so ln(ab) = 1 to ab is 1 to a + a to ab = 1 to a + 1 to b = ln(a) + ln(b)
Hello
No
I'm someone planning to apply to university in this cycle (UK) to start a "BSc Mathematics and Computer Science" course later in 2026. I've already finished A levels so I'm in a gap year. What kind of stuff could I do to boost my personal statement to maximise my chances of securing a good place at a good university?
by december btw
i gotta send in my application by december
my a levels are fine
i dont need to take admissions exams but even if i did them
would they even see it
im eligible for contextual offers
cuz of my postcode
no
A*AB
bro i was so close to another A
i was 3 marks off
no unis like
durham bristol etc.
im on contextual offers
so they ask for like A*AB AAB
without admissions exams
but i want to try get a scholarship too
with a banger ps
expensive and i dont see much point
i was thinking of supercurricular activities
why would i want 3A* after a resit
its just not the same
any ways to help me improve my focus? i just get distracted so easily 
😭
if i resat, ik id get 3A*
and academics dont mean everything
passion is also important
so i want to portray that in my ps by doing supercurricular and stuff
ngl i was thinking of maybe doing step for fun
hello guys, i have differential calculus this semester. I need good online video playlist. any suggestions would help a lot.
My problem:
Havent learned any proof based math and have no clue where to start + never used a math text book since 8th grade.
My current situation: learned calc 1 last year from the course video on freecodecamp (+practice problems and other videos when needed). Mostly the same for calc 2 rn but using khan academy instead. I’m only in algebra 2 in school (very ahead of my age in math and school refuses to really help me go farther) and don’t have amazing reading comprehension skills. I fear I’m a bit unprepared for rigorous math and I wanna take atleast volume one of apostols calculus after I learn calc 3 through some video resource. I want to learn how to better comprehend text book math and proof based math so I can’t fall on my face the second I go to apostol’s calculus.
Any tips for how I could ease myself into more text book math + proof based self study without getting extremely overwhelmed or bored and losing motivation?
Oh if I want to learn calc 3, linear alg, ODE, and Apostol’s calc vol 1, what’s a good order
@lavish breach idk anything about apostol calculus, but often ppl do some sorta basic intro to proofs, eg elementary number theory is common to do. but its not necessary, since most analysis books will have the introductory material you need
imo, you should get used to the process of just reading a book, videos become more scarce for upper lvl math subjects
to do this, you'll have to sit and actively engage with the book, its usually not smth you can just casually read. there are things you'll have to write out on a separate piece of paper to understand, and you might want to take notes of the key details. often, you want to later think about strategies done in the book (for eg in some calculation or proof) and replicate them on your own. pace yourself, you might sometimes need an hour to go through 2-5 pages. a loose schedule based on section numbers might be helpful
i'd rec doing multivariable calculus with linear algebra, then ODE, that'll cover all the "calculus base" you need. then you can do proof based math, like proof based linear algebra and analysis, as well as abstract algebra if you want
abbott's analysis is a good book, jay cummings' real analysis book also looks good for beginners, they go through the necessary "beginner proofs" at the start and explain things well for a first course in proof based calculus
Tysm dude that’s actually so helpful.
The elementary number theory idea sounds like a really good idea so I’ll probably try that first. I think after all the math classes I listed I’ll probably wait for real pure maths till college. Trying to major in physics so I’ll probably switch to learning that for a bit since I don’t fully trust myself to learn pure maths. I’ve heard Apostol’s calculus is sorta in between real analysis and basic calculus so that why I mentioned that btw.
Genuinely screenshotting that message tho, thanks so much again
Guys i skip classes to study in my home, how should i proced now?
ic, ok. im not sure about books that are a mix of calc and analysis, i think spivak's calculus might do this? might be wrong though. the thing is, if you've already done computational calculus, i think you can just do regular analysis from books like abbott
Yeah but, how i study?
Let me explain to you my situation
The exams in my country are questions where do you need to justify the answer, so, i cant find past papers where can i practice so i cant do active recall or these techniques that youtubers recommend
See?
Also i skip classes too
Yeah I’ve heard apostols calculus is similar to spivaks but a decent bit harder. Might be basically real analysis, which I will definitely be waiting to take for a while
Probably will just go straight to analysis I guess to not waste time but definitely waiting on that for a bit then
why do you skip classes if you dont have a plan for home though
I just dont like them
It frustates me
Why are you taking them
Math, physics and chemistry
College
i mean what topic in math for example
so like what does the math class cover/go over
You still are taking the class even if you skip lectures, you have to do the assignments and exams right?
Yk flash card apps like gizmo?
Try using them
It's basically the same thing as active recall
U make questions and give answers to them
It's just less efficient to make your own so that's why I don't use them
Used something with spaced repition. If that has that then hooray.
If I were you I would use Anki. I've never gotten into the habit of flashcards but the software is what I'm want for such a thing
It's free (as in freedom iirc)
the software is free. distributing on the app store costs the developer money, and thus is the probable cause of the cost
you can just try a computer
or, perhaps you can sideload it?
ah, anki web on a browser
my guess was apparently false?
Ah
“Why is the Android version free?”
The Android version is developed by a different group of people, who based it off the computer version I wrote. Because they have day jobs and can only work on it in their free time, AnkiMobile is better supported: no questions or bug reports go unanswered, the app is more polished, and most bugs get fixed quickly.
Frequently asked questions about Anki. Anki is a program that makes learning easier.
Or they just know ios users are willing to pay for something android users wouldn't.
I have just establisted that "they" are not even the same group.
Like come on, read.
Unless you just mean, they would not have charged had they believed the users were similar
in which case, carry on
okay then, sorry for insulting you
Exams yes but assignments not now
(also releasing on ios can be more expensive than on android)
this was indeed a case where it was bad of me
I would like to say, because many people in fact literally just don't read
They weren't like that, though, and I mean this is such a stereotypical excuse
what does undergraduate math mean?
do you study in a specific sphere in math at uni?
it's math which is advanced enough that it generally isn't taught in high school or below, but not so advanced as to be only taught in grad school
there is considerable overlap at the boundaries on both ends, of course
guys i need help. my professor isnt the best at teaching and that can hinder my note taking. she basically just writes the problem on the board and follows up with steps, the process, etc. basically just having us copy what she is doing. she also goes a little fast is there a way i can capitalize off this im tryna lock in
Im so dumb man
I cant ubdrrstand anything
I should be dead
I cannot complete my classes
So i will never learn anything
Im so dumbbbbbb
don’t say that bro
u can learn it just need to spend time to understand and practice
but dont put urself down bro never
I dont even know how to practice
idk what typa problems ur facing but generally just doing problems esp ones u find very difficult can help
the more u do it, even if u solve wrong, the better understanding u get
I cant even start doing it
I just wait for my exams to go wrong and have 0.0
And its all my fault
I can swe my future
Im gonns be a vagabond
to add to what cloud said, it's a very fuzzy term
all the advanced mathematics channels are accessible with the undergraduate mathematics role because literally any mathematics could show up as part of an undergraduate degree depending on the university
hey guys, I am trying to learn about counting, like permutation, combinatorics and so on... it's hard... very hard... how do I learn it? How do I know if I am getting better?
Permutation is when order does matter and combination is when order does not matter
it was just examples of what might be in it
the real problem
is the problems
each case is a case
I miss possibilities
and even though I've been studying it for days
I still can't understand it
oh no, I know how to think of them, a combination is, grabbing a group of 5, and saying, how many subgroups of 2 we can do
a permutation
like that one with the A and so on, I know that two
I know that
I know theory
but it just gets though for each problem
(sorry to interrupt)
of a problem that I have a though time with?
sure
though this is not the help channel
just if any mods see this,
it's an example
"A group of 6 friends, in which 2 sisters do part in Margarida and Mariana, decided to go on a walk. After some time, the found 6 free chairs and decided to sit. The chairs are places in a row, and are fixed to the floor. In how many ways can the two friends occupy the chairs, guaranteeing that Mariana and Margarida stay seperated" -- now before you answer, let me show you my reasoning for solving the problem
There is a group of 6
That group of 6 can be subdivided into a group of 2, the sisters, and 4, the 4 other friendsz
So,
I thought
though not fully understanding the logic, the number of possibilities where they are together is $2! \times 4! = 672$ and then I thought: 6! is if there are no rules, so $6! - 2! \times 4!$, which is wrong
ℕ∈ℝD ALERT: Gonçalo Gonçalves
That is it
you see the problem_
Yeah
I saw it on an example, it's maybe incorrect, but you see the problem
I hope right @long hedge
?
oh
that
well idk gone on ther but I did that at 7am
480
kkkkk
oh, that a good way to think of it, how do you develop that kind of understanding?
oh btw
I need to go
I have a family dinner, just answer that
I gotta go
I'm sorry, but I will probably only see it 30 min from now
just saying
that makes sense
I back
@long hedge
anyways
literally everyone on this community can solve counting questions
and quick too
how?!??
I sometimes take 3 days to get a right answer
oh
!nochatgpt
!nogpt
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).
ok
no
it is corect
why dont you use Walkfram Alpha or somethin like that then?
walfram alpha
I think that was the name
!bots
nop nada
welp tried
anyways, back to the original question, I can't have trial and error methods on the exam
so how do I develop this
ok fine let's drop that
I will keep that in mind thanks
wait, why 5 factorial, if BA occupies to places shouldn't it be 4 factorial
oh sorry, 6 chair, forget it
Do shit ton of problems
For these, often when you have smth where there are many cases to consider (ie, there are many ways that the two can be separated) you do the indirect method bc it is easier to think about when they are together
the indirect method, or an indirect method
and wdym with recursively?
The
how so?
Bc you have a subset of events
And you just consider the opposite
And count the opposite
Subtract from the total
They can either be together or not together
ok
makese sense
yeahh?
(I'll give you time to write it out)
I like long stories anywho
Aren't you taking probability rn 😭
Well you usually consider an events as sets I think, like the event of getting h heads from n flips
atcho time
basically you have 6 seats
and you have the pair AB
Let's consider the case where A is on either edge
then there are 2 edges
and B can go 4 different places so we have
and then we have case where B is on the edge
A can go 3 different places since if it goes to an edge we have already counted it so we have
2*4*4!
2*\3*4!
Now remove those 2 edges (when considering A or B)
and look at the 2 new edges
A can go 2 different edges
and then B can go to 2 different places
Now consider last case where B is on an edge but A isn't
2 cases only (when B is on either edge)
so we have (2+6+8+4)*4! = 480
bro has homeworks in the big 25
i also have homework but i dont do my math homework
just gpt it fr
no it sucks
I dont even use it for math
im doing things like 1+1 is what
good it means you won't be replaced
if you learn it
lmao
that is awful legit
and that point i just drop the class
if the class is very important i'd go on exchange and take it there
i cant change prof bc they only got him to teach this course
every week its getting worse 
wait do they make you pay to do exchange at another uni
dam
well ig if you live with your parents then it'd be more expensive to go on exchange

that was a joke btw
the math course im taking this sem is basically precalc and next sem is calculus
then in 4th year they offer applied engineering mathematics, which I really don't know what kinda math is yet
oh it was a joke ? mb i thought you were serious
LOL
pre calc
only bc i dont go to top school 
north america is also a country 
bro became trump
no
sour's favourite politician
i dont plan becoming a politician
i'm talking about you 😠
bro doesn't like easy money without having to work
too much yapping tho
I sentence you to yap for every minute you have spent designing your profile
bro is stalking me
how did you know
read ur sentence
i had my previous banner over a month now and decide to change it with latest new song 
why did bro change from the iconic 'chipper potato'
because you are a cs major
ay 60% of my time here is spent getting help
i count it as working time
fr
i mean it is true tho 
how did you change it before
here is the trick
they often tell you to re read your answers at the end
right
ya
i could relearn my silly mistakes and do well on exam
So say you complete question 1, then forget question 1 and do question 2 and 3 and then come back to question 1
i usually do this
you need active role
make sure you start with easiest questions first
ohhh
me when i have the role so i dont notice that you need it to do this
do u know display name in dms? u can change ur nickname with this
#❓how-to-get-help or any specific channel
what kind of question is it ?
yea so if it's a fairly basic question occupy a channel in available help channels, if it's more complex take the subject specific channel
why would that be the case though
oops i wasnt trying to do that, i apologize if it annoyed you
ohh i see
lets get back to stu(dying) 
Yup for sure
@drifting wasp , so what I was going to ask and say are a few things
do you know proof writing
hello, am not sure if this is the right place to ask, but any tips on how can I improve my comprehension or understanding a part of math where there are mostly words than numbers? Im having a difficulty understanding texts in any books and I want to improve.
try to convert into numbers as much as you can
so ill just traslate it into numbers?
mhm
but how can I make like a formula or equation for a problem?
e.g. finding concrete examples
ohhh
Yup (sorry for the late reply)
The thing with analysis proofs, unlike linear algebra, is that they don't flow directly from axioms.
They are ..... creative!
I am aware
Also know that analysis problems can and will take hours
Linear algebra proofs don't always easily flow from axioms either.
But I endearingly remember writing up some insane analysis proofs I now have no idea how I thought of. Fun stuff.
(Insane not in an ego-stroking sense, but just in a damn how did I think of that sense)
Iirc this is such a proof
The thing I like about Analysis so far is that it tends to be fun to think about and there tends to be endless ways you can try attacking a problem; I find the visualisability of things to be awesome.
esp in infinite dims
Is having bad sems normal in one's UG degree
or does it just mean I;m doing somethign wrong
Real!
How long of slavery is left for you?
Exactly one year
Idk
I'm getting skill issued
In PDEs
🥀
Bad sem or bad gpa?
I think both are normal but you'll get cooked if you want to go to grad school in the latter case
having bad sems in undergrad is pretty normal. but it depends on what u mean by "doing something wrong" sometimes it's not that ur doing anything wrong. it could just be tough classes, bad profs, lack of support, or personal stuff getting in the way
like for me, im having issues with my digital systems class rn and I feel like the whole sem is going bad just bc of the prof 💔
How do i get better grades?
In general? Understand the material better. Avoid pitfalls like training solution procedures instead of understanding why they work.
live in a country with only pass or fail, then you can easily get the top grade 
!help
To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.
the only thing that will hold up my GPA is my CGPA from sem 1 and 2 🥀
I have 4 hard courses this sem 🥀
RA1,AA1, An advanced LA course ( harder than LA2) and a sociology course
damn how many courses in total?
5
the last one is non-measure probability
how do i study effectively
daily reminder to use noggin
noggin ?
,w noggin (english word)
i see, u will do well 🙂
brain
are there unsolved math problems that are useless even if they are solved, like there are unsolved math problems that are useful if they are solved?
if so, I wanted to know it earlier, because I have had a question, thought about it for a long time, then asked myself "what on the earth is my question useful for...?" and lost motivation for learning math so many times.
I didn't noticed an idea like that until I tried to search open math problems by chance.
Engineer calling goldbach useless
Or Collatz.
The tools we develop to solve goldbach could be very useful like flt
But that goes for every simple unsolved problem.
Cs major calling me useless
Bro has not seen entry level market
But dw i am also useless
We can be unemployed together
I feel it is most fruitful to construe "useless" in the sense of would it be of use in itself to know just the "true/false" answer (imagine it together with a machine-checkable but completely unstructured and impenetrable proof).
Thats what every cs major thought
EE seems safer than CS but then again you are a sophomore, in 2 years as things keep getting worse who knows whatll happen
Id Drop the double major tbh especially if ur short on money
I would tend to consider the bare result pretty useless in the above sense. I don't know enough about the proof to judge whether it contains ideas or techniques that are separately useful.
Dont think about it just do it
And thank me later fr
Bro does not care about his future💔
Crazy how much changed in 3 years
At least as originally published, it was not a machine-checked proof, just a proof that depended on computer support for doing exhaustive searches in each of ~1000 special cases -- but the identification and classification of all those cases had still been done by hand.
For all I know there may exist a machine-checked formalization of the whole thing by now, but that wasn't how it started out.
No, that only comes with the activity roles. You can ask a moderator (directly or by a DM to ModMail) to have your name changed, though. As long as your desired name is not offensive, handling such requests is routine.
Chipper, since you like Ocaml, just sell out to Jane Street after graduation
I usually do pomodoros for my independent study tine.
Sometime the question is complicated and I would solve it eventually, not knowing if the sol is correct.
I dont bother checking sometime causs my mentality revolves around just getting reps in. We dont check answer in class for these home-practice set.
Am I being efficient ? Or should I always check answer??
Realistically most unsolved problems are not particularly useful
Though tropo's collatz answer would probably be my go-to, because of how famous it is
hello
Double majors cost you more money? Wtf
Poincaré conjecture (probably)
Cuz it's topology aka. unemploymentology
Is proving the riemann hypothesis even useful?
We already use it a lot and it seems to be working fine
Will properly proving it do anything for us
if he has to stay an extra year in uni obviously it cost more money
How do double majors work
In my country, it's more like a 50/50 split in modules but u can bias one subject
He needs to take extra year to complete courses
So u could make it like 60/40 by choosing more math modules than CS for example
Is it more like 75/75 in some other countries
In my country it is 100/100
Wtf
makes sense imo
Im in another country than potato
Here (UK) it's still one degree but it would be called smth like "Mathematics and Computer Science"

ew UK
But we don't do majors we specialise in one subject
Probably provides modules from other courses when needed
sorry but i prefer talking about first world countries
safer than uk
It says central European time so I just guessed
Nobody knows your country either way
Central European time includes germany and allât
everyone knows uk because everyone knows where the trash can is
i dont live in germany
UK is still safer than America anyway
So we can hate on the US together
I've never heard of a single school shooting in the UK
yeah but u heard of stabbings

Nobody likes reading good stories
The UK is not even that bad compared to actual third world countries
People who say that haven't actually been to third worlds
it's a huge percentage of uks populstion
all uk is
Why did bro start hating on the UK for no reason anyway 😭
Could we get back on topic, please?
(Or back to silence until someone wants to talk about the channel topic).
've only now started actually studying math, around the 10-12th grade level. There's this thing where I can't really solve a quadratic equation just by using a given formula just because it doesn't feel like I really understand what I'm doing without understanding where it all comes from. This just takes me to diving deeper into the rabbit hole of wondering whether I can actually find ways to do it without the formulas. How would you proceed in my situation? Stick with the methods towards more difficult concepts or really trying to do it all from nothing to understand the details.
I feel like the second option seems more "authentic" to me, but not too productive
So I'm guessing I might be over obsessing with proving everything, but not sure if that is the optimal way to actually start studying all of this stuff
this is from person who doesn't have method for studying so take with grain of salt
the way i see it, most concepts that are explained actually do have easy way to understand why we are doing it that way, so i would suggest looking over proof, if it's easy enough then maybe spend time on that, otherwise maybe just memorize formulas (you'll get used to it the more you practice)
for example, let's take polynominal division: why when we read "P divided by x - 2 gives remainder of 3" we do x = 2? well that's because same way you can write n = ax + b for integers, you can write P(x) = (x-2)Q(x) + R(x) and when you do x = 2, you see that only R(x), the remainder, stays.
when you understand it this way, it's just hard to forget
so i would suggest looking over proof, if it's simple enough to ingest then i suggest it otherwise go with methods
Definitely look up how the formula is derived (key words to search for in this case are "completing the square").
It's a good instinct to have, and it will save you much grief down the line if you make a habit of questioning where things come from. Many formulas (though perhaps not the quadratic formula in particular) are so much easier to remember when you know the reason for them that the effort spent on investigating them is richly worth it.
Yeah, I'm guessing that is my weak link currently. I can solve the equations, I've figured how the CTS thing works, the discriminant etc, but it is troubling because I just get told to "use this method" and I can't figure if that's something I could've stumbled upon myself
I think I'll just stick to the formulas for now because digging too deep into all that is just way above me with my current knowledge haha
Currently doing khanacademy courses, seems to be going pretty okay
i would suggest going through it atleast once even if you believe you don't have knowledge for it
exposure to derivations, even if you don't understand, will help and eventually you may get used to it the more exposure you have, our brains are pattern machines afterall, you will catch on something eventually
as for quadratic thing, there's actually nothing complicated in derivation, it's just adding terms in clever way such that you can write it in terms of square of something, then using two square difference, so i'm sure you can follow through it atleast once
some formulas relating to quadratic equations can also be derived directly by expanding $a(x-x_1)(x-x_2)$ then making comments about coefficients
❄
If you feel you understand an example of completing the square with actual numbers, I'd encourage you to try to convert that into an argument for the quadratic formula.
Take the concrete example, and for each actual number that appears in the explanation, write down an expression that explains how that number was calculated from the a, b, and c of the original ax²+bx+c=0 equation. At the end you ought to get an expression for the solution that is either the quadratic formula or something very close to it -- you might need to pull a factor of 2 in or out of the square root and so forth.
do you know what it is exactly that you’re struggling with?
well im obviously failing cause i dont know how to answer the questions on the test
this isnt even math related
im just asking for school advice
oh wait fr what subject
bio really all comes down to understanding
the good thing is
lowest exam score will get dropped
i have to take 4 but only 3 counts
that is a nice school system
generally i’d just say review what you’re weakest in as in what questions you get wrong most, and really try understand the lessons you’re taking
yea i get that i was really bad in bio too but it really all comes down to the fundamental stuff
if you’re cooked in that then you’re cooked in everything afterwards lol
we are learning
hardy weinberg
phylegony statistics
and then we are learning these crazy visual graphs
that are super hard to read or comprehend
genetics 
take a step back and learn it from the start, it’s better to start from scratch than continuing blindly right now (if you are able to)
lol first academic burnout?
it happens dude don’t stress
no
its not a burnout
i wish canvas would show the median
but for some reason its not visible
People be studying hard for jobs ai is going to do
it is a tragic, tragic sight 
We are kind of the cooked generation because the generation before us didnt compete with ai for entry lvl jobs nor had oversaturation, and the generation after us will have far better idea of what ai can and cant do
ai can’t do my job that i plan doing in future
Being ados assistant ?
medical imaging
i have never thought about that.. why is our generation having it the most difficult
not that it differs for me i am unemployed and not in the process of getting a degree lol
think god im not studying bio yet
the only way getting good at biology is memorizing
worrying about biology will be the least of your concerns if you are entering medical imaging
sometimes if u can understand the topic, u will be fine too
i’ve heard radiology is brutal
im sure its some stuff that belongs to human body 🙂
i got biomedical science course next semester and then i have an anatomy course for next year

i have big respect to anyone in medicine related fields
i wish you luck! 
im not studying medicine actually
it’s biomedical engineering
that is even more difficult
medicine and engineering in the same sentence 
i would have counted for bio too, but i do think that falls under medicine
the only difficulty in biomed im finding is morning classes
and 4th floor just for labs
a whole workout just to go to classes
real
i have a keen interest in maths and i want to study it , but i dont understand a single thing from my college's teacher and then i go and look up for the topics on the internet and there i get lost and in search of finding where to study from i waste a lot of time and then i start procastinating . ive got finals coming up in 3 weeks and i havent studied anything .
Now imagine 7th floor
Buildings should not have seven floors, tall box shaped buildings are ugly and I want to be able to see the sky without hurting my neck
just be taller
Math study group Ottawa, Canada
Looking for mathematics students and enthusiasts local to ottawa to form a study group. Preferably university level mathematics. If anyone interested, let's discuss
I like climbing stairs🗿
i recommend living on the 16th floor of a building or something like that and never using the elevator in that case
Wouldn't mind that except the problem with living on a higher floor is that if there's a fire you're probably cooked, literally
If u lived on a higher floor id definitely start a fire
Bro choose 16 instead of a prime number like 17

i chose 16 literally because i live on the 16th floor
if you learn how to cook well then you wont face this problem 
Well i know me and you are going to cook munkres fr
what kinda uni lvl math r u studying? if ur doing linear algebra i would join u 🙂
Well, I have done linear algebra i and ii
I'm never going to get why people use AI for math
Using noggin is hard, there's no manual
does anyone actually read user manuals anyway
there's MSE
For people who don't want discord
Arch Linux enjoyers
i feel like the type of people to use genAI are probably very much not the target audience for SE-type sites
If you don't understand how it works, but rely on the same cues you've always used to estimate whether people are worth listening to, and you’re perhaps a bit swayed by the term "AI" ...
Does SE even have a target audience anymore
More like "no good questions exchange" fr
I use it for questions I want an answer to that I've pondered a lot
( not to say I won't get good answers here)
Based
My 2nd most upvoted question was basically in essence trying to make sense of an "inner product" over an ordered field
Heh lmfao
( bad question I know, sorry)
Bad question? Why
It has no practical use.
I assumed based on this
I was just thinking funny because of the scare quotes on inner product
Considering the brave things I've seen people do to their definitions of that term
I used quotes as it's not an inner product in the traditional sense
and you may lose the fact that the inner product maps back to the field of the VS
Inner product, as I've learned, is typically reserved for positive definite symmetric bilinear and hermitian sesquilinear forms on Real and Complex vectorspaces
yup, I've learnt a simpler defn, which lead to this question
but basicaly this I think
Of course I use it as generally as any nondegenerate symmetric bilinear form on a module
I don't follow
Like, no reason why the obvious map on F_2^n isn't an inner product except for your fears
You can't really make sense of an inner product on a finite field IMO
Sure you can, it's the same old thing
Because what's positive-definiteness then
I didn't say anything about definiteness actually
Definiteness is a condition dropped
But if you need it back, just think of definite as meaning no nonzero null vectors
That's what it means for the corresponding quadratic forms
That was the impersonal "you", in case it wasn’t clear.
I've never heard this term
In mathematics, there are two different notions of semi-inner-product. The first, and more common, is that of an inner product which is not required to be strictly positive. This article will deal with the second, called a L-semi-inner product or semi-inner product in the sense of Lumer, which is an inner product not required to be conjugate sym...
Gross
We didn't really deal with this much, just came up to remind us that CS doesn't need definiteness
cauchy schwarz
Ah
I can never remember CS, it's the one about the magnitude of the product and the product of the magnitudes or smth right?
$\abs{ \langle x,y \rangle} ≤ \norm{x} \norm{y}$
wai





