#study-discussion
1 messages · Page 7 of 1
Is this just for giggles or
wdym?
oh no i just started college
Wait how old are you 
19 next month
i've been out of school for 2 years
but just now going back in
Gap year or
Where you going to college
like the specific college or just the city/state
City state
denton texas
This starts to border on encouraging people to self-doxx; please don't do that.
Yeah I realized that once I asked mb won’t do it 
Hm but since ur taking a double gap yr
And starting college this yr
And college algebra? I think the prep (since it’s just linear algebra)
You could get away with reading a chill textbook?
yeah i didn't have the requirements for pre calc
I haven’t taken linear alg (I take real analysis) but it’s rly chill
Oh have you not taken calc yet
nope
Uh
What are you doing after college algebra
Like real analysis? Discrete math
Or like
Multivarible and diff equations to eventually pdes
i have to take uhhh (in order)
college algebra
pre calc
calc 1
calc 2
linear algebra
multivariable calc
applied statistics
oh wait no i missed one
Can you take them all in a single yr or
no
Can you test out of them…?
this is spanned or a 4/5 year period
Gen Ed’s are annoying
nope
BRO FOUR YEARS??
oh no those are all major specific
Major is law and cs?
no u can't do a law major
computer engineering major
law is 3 years AFTER your bachelor's
so i do this then 3 more years for law
True (why I think of Harvard law smh I keep thinking of suits)
R u gonna overload
suits is a fire show so
I like Mike he’s a interesting character 
Can we move this to discussion or smth
yes
but i have to pay for it
and i'm broke
lmao
this is usually the case
I guess you can’t test out of them then
i can't regardless
I was gonna suggest to test out and not have to be worried since you seemed concerned about college algebra
(there's no way i would be able to learn all of that in enough time to test out)
Wanna talk in #calculus ?
sure
yeah i wouldn't know 😭😭
linear algebra as a regular ug course does not go over galois, ive never heard this happening
It does have strong connections with galois which is what you may have found though
You would usually learn about Galois in Abstract Algebra
Yeah I was just curious cause I thought I saw something pertaining to hilbert and Galois theory (which I think is false)
do you know what exactly?
This is something I remember seeing before https://en.wikipedia.org/wiki/Hilbert's_irreducibility_theorem
In number theory, Hilbert's irreducibility theorem, conceived by David Hilbert in 1892, states that every finite set of irreducible polynomials in a finite number of variables and having rational number coefficients admit a common specialization of a proper subset of the variables to rational numbers such that all the polynomials remain irreduci...
I am tired so I’m spitting out random stuff

Hello, can anyone recommend good study material for Math CSET subtest 2 and Multiple Subject CSET 2?
Goddamn man, last exam was so brutal it literally felt like my physical health was the bottle neck in my performance
One of the most if not the most challenging exams ive had. Need to improve my endurance training regimes to be better prepared for my next ones
Lmfao what kinda exams do you have man
Four hour exam on computational statistics. First problem was to derive three different methods of sampling from a univariate distribution, second was to find some transformation of a random variable so that its ugly ass distribution became log concave, then apply adaptive rejection sampling, third problem involved MCMC estimation of linear regression parameters and last problem was to use the EM algorithm to estimate parameters of a mixture joint distribution
Not even 5 hours would have given me enough time to solve each problem mathematically properly, but honestly i think im just out of shape
Hey any suggestions for applied mathematics research?
Assuming you are in UG now, do you have a specific area of interest, or just asking in general?
I think this varies heavily depending on applications you are interested in, if you aren't sure what's out there, check out applied mathematicians at nearby universities and see what topics they do research in if any sound interesting. for example, mathematical biology, physics, fluid dynamics, computational math, statistics (though often a separate field), scientific machine learning, the list goes on
TQFTs
No im going senior year highschool but id like a nice one to par with my uni app
In general, but not really science related (physics,bio,CS)
what could i do on that
Idk how you would proceed with researching esp as a highschooler. You could try to see if you could attend a math camp, but I think it would be hard to find a camp willing to take you in since you are going to graduate (assuming you are a 12th grader in US).
In terms of "uni app", Id just recommend just blogging about your interests and what not but that means being able to identify those and find something you are passionate about
I wanted to pursue CS academia originally and catered stuff towards that. But I also didnt do it for just uni apps lol. I did it because I actually liked and enjoyed what I was doing
Hello
How do I approach maths with adhd I am getting a feeling of doing maths because of my coding interest
Any idea how do i start?
Sipser's theory of computation, then arora and barak's complexity theory
Assuming you already know some analysis and algebra
<@&268886789983436800> also user has the r slur in their bio
@rose yarrow please remove the slur from your bio
Man... making it shorter and merely strongly alluding to the slur isn't really much better
I'm gonna wait for a smod to weigh in.
I have a great habit of giving up on maths many time
Also I hate angles things
I don't know I had very good time learning coding because of me multi learning languages
Instead of focusing on one
😭
where can i find resources for learning online
jokes aside, it depends on what you want to study; since you have pre-uni math selected, I think Khan Academy might be sufficient
but again, it just depends on what you're studying
also this question might be better suited for #book-recommendations 
Hi guys do you have any advice on how to get better at analyzing mathematical word problems as it is my weakest
draw pictures!
ok so i have a question
Try to focus on every little detail but only after you write down whats written, in equations. THIS HELPS ME ATLEAST
And this too yeah
keep everything in variable form until the end
and do sanity checks, like units, always
at the beginning, i would just try to get a high level understanding of what the problem is asking, hence the drawing of pictures
then slowly turn up the level of attention to detail
Ohhhh thanks everyone
I keep falling into some traps
Especially the last quiz i did so bad
I failed it unfortunately 😭😭😭
I understand the lesson but there were some words where i overthink hence my bad scores😔
I'll definitely try this when i study word problems
I have my entrance exam for uni in 5 days! I have been studyinh the whole vacation (july 1st) cuz I come from 3 hours of math (to 8 hr curriculum). Had to tell this somewhere, I'm excited and a little stressed.
Good luck
I fckn did it
Honestly wondering if my professor recognized my handwriting or something cuz i was not expecting that
how does one start writing proofs/show that in an unfamiliar area of mathematics. I find that I don't really know where to start
Read a lot, read the proofs in the textbook and try to work out what the common ideas and tricks are
Do the textbook problems in order, typically they’ll start out with simple “apply the definition” type problems and get a bit harder by progressively bringing in new ideas
i got into math camps but they refused my scholarship because im not a us citizen :(
Hello
I just watched a video of a guy ‘proving’ the RH with a compass and ruler 😭
Worst experience of my entire life

guys so i completed high school 1 and a half years back, and now im in uni, doing engineering. the sem 1 maths module is what i did in 11th and 12th grade. and well honestly rn im kinda cooked cause i have a class test in week 8, and rn we're in week 4. any tips on how i can improve?? i have limits and derivatives, continuity, and integration
There was another video which ‘proved’ it and uh the guy wrote $i=-0.5$
Real Lost Fruit
Most calculus textbooks should cover this material
thank you
Dunno where to send this question so I'm sending it here, as it's more about how to prepare for something
In the image there's a part of a calculation of an exercise in my Physics book. The point here is about the math expressions, which imo are painful to compute without a calculator. Is it possible to train to mentally evaluate them in under a minute? How so? Any tricks?
i believe that is intended to be performed with a calculator
Still, I'd love to learn how to do them fast without one
Having to go out of the pdf to use a calculator sort of breaks my flow 
I can't use one in the exams I'll try

on an exam you would not be expected to work with those sorts of numbers then
Indeed
Real
confirmed
Where do I find the proof for the theorems? I tried on yt but they're very unsatisfactory
For what theorems
Well rn I'm interested in the compact interval one
If that's even the name 😭
But I always wondered where do they put the proofs
Which compact interval one...
You can generally find proofs online or in books
Sometimes if you read about a theorem it's followed by a proof or a reference to a proof is provided
If a function in continuous on a compact interval
Then it has a max and min (it's bounded)
any book on real analysis will do
Mmm is it the original? Like the one given by it's "creator"
https://en.m.wikipedia.org/wiki/Extreme_value_theorem
even Wikipedia sometimes has proofs
you do not want the original proof
Why 💔
its written in a language that is too different from todays
its also very possible it wouldnt hold up to modern scrutiny
That makes sense
Thanks everybody
Who wrote the first proof of the EVT?
oh
nvm
Well if you know the word compact
Then first you show that connected compact sets of R are precisely the closed intervals
Now if f:[a, b] -> R is continuous, then since [a, b] is compact and connected, its image is compact and connected so its a closed interval, whence it has a max and min
Thanks man
Can anyone teach me integration?
do you understand differentiation.
Yes
where did you get stucked?
The thing is i understood anti- derivative but i when i am trying to solve the questions i am not able to solve them
share example
whenever i see this guy's name i just think "so are you down with that" "we're down with that"
Hey all.
I have a question about learning mathematics. I was reading a book called elementary linear algebra by howard anton i am loving hr depth. But I am able to read 4 pages a day , i will extend for sure. But is this the best way to learn maths.
I mean the book is 800 pages long . I have to study more subs too like calculus and all. But I feel it will take too much time.
What is best strategy. Although i love going deep in maths and building intuition
i would say that focusing too much on how many pages you can get through in a day is counterproductive
apart from hard deadlines like exams, you should focus on understanding the maths well imo, even if it takes a while
one thing to bear in mind is that you should try to free yourself of the illusion that maths is cumulative
maths is more like a metroidvania
if you're stuck on a particular part of a textbook, sometimes the right thing to do is genuinely to just move on and come back to it later (if at all)
in my experience, sometimes the thing i needed to understand something wasn't a simpler example, but actually a more complicated one!
Thanks. It might help in my mindset.
I wonder if is this average rate i am learning at.
Alf discusses how connecting to children’s ‘powers’ is not only possible but necessary for quality maths education; simply put, if a pupil doesn’t understand step 7, 8 and 9 should not mean that they shouldn’t not be allowed to explore step 10. “We learnt to walk by running.” Learning doesn’t have to be vertical building block in...
i would highly recommend checking out this video
it goes into some real-world examples of where viewing math as cumulative actually hindered students' learning
another thing i think you should keep in mind, but which is quite non-obvious when you start out, is the following
the rate at which you learn isn't fixed
in fact, it accelerates with time, generally
at least, this has been my experience learning maths
this is part of why i think focusing on how many pages you can get through in a given day isn't really helpful - as long as you're engaging with the ideas and understanding them deeply, you'll get faster over time
Okay . You mean with time , My mind will be able to digest better
And faster
Btw thanks a lot. I believe this will help a lot .

though it is helpful to have the goal of "read a page a day". or like "open the book and think for 30 mins" really.
yes but notice these are two different types of goals
one is about how much "output" you get in a given day, in terms of number of pages covered
the other is about how much "input" you put in, in terms of time spent
Well, I'd say, goal is making sure I do anything today, that I get myself the opportunity to figure something out.
The real standard isn't output or input, for me the problem is... doing anything at all.
Anyone wanna study together!.
guys can you tell me how to memorie all the formulas of trignometric eqn , do i just memorize them or what it too hard memorizing them
if it's highschool then yes memorize it
it is highschool
,tex .rocket trig
アキラ (>⩊<)
are u referring to these?
yes and even there are formulas like cos(a+b) and (a-b)
it's already listed
ohh my bad didnt see it
np
well u could try proving them
don't mention it
No not that way I am not able to study so just be there so I can study and you also study.
wdym by just be there?
Nothing leave it
ok
@long hedge
Selling /jk how’s ur math going
Pretty chill
So your in abstract alg right? (I think group and ring theory is in it)
Yeah
And galois

I skip abstract alg and go to point set top
Then my circle around
Ah you’re a freshman or junior?
That’s why I skip 
Offered in even years
What do u do to study it
Cause I’m like
Super pure
I do topology and analysis 
Wow
What do you do
Take notes or
I take notes on obsidian
So it’s like a summarized one with a easy to understand explanation

Okay so don’t take notes besides main statements
A trivial one would be de Morgan for instance
Bet
All of the things are pretty trivial for rn
help me
To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.
i also take notes on obsidian!
i've found it pretty useful
Indeed I like the built in latex that is sort of like overleaf

I don’t like overleaf because I can’t see the formatting
yeah it is useful that the latex gets compiled live
Yeah
And also it’s easy to save as pdf
And CREATE A DOCUMENT
I ain’t memorizing document title and setup until I write an actual paper

<@&268886789983436800> scam
I don’t get a thumbs up 
i can give you one 
Ya
8
It’s summations
9
What
Nothing
Ya
what is this channel
How to study more effectively
more like how to get rekt 💔🥀
anyone know alot about chemistry? or enough to explain some solubility stuff to me (like dissolves like, hydration/dissasociation, micelles, etc.)
there is a chemistry server in #old-network
??
What
why you replied ya if we have discussed the problem earlier?
Ooh sorry my bad
no problem. All good?
No nothing is good about mathematics
okay, good day mate.
Ok
I write it down
I remember it
remember by obsessively reviewing when you notice yourself forgetting
is this a good channel to ask for advice?
By solving problems related to the stuff
Now do Arnold's ODE
depends on what advice
i alr got stuff sorted out so nvm
Does someone have tips about learning geometry because I think I stuck with it in primary school (I’m in 3rd class highschool math-pshysics)
I was stuck on that too before. my tip: get a compass or protractor and actually draw the problems
sometimes u just need to see it for urself instead of just looking at a picture bc it makes the shapes and angles way easier to understand 🙂
I think Poincare, or maybe somebody else, once (apocryphally?) said something like "A mathematician benefits from a so-so memory, because then they'll forget something and have to come up with a different proof or version of it that works better or can be used for something else"
I don't.
Sure, there is such a thing as being spoiled by knowing the answer already
and sure, this can in principle happen by you remembering the spoiler
but...
there is in fact benefit to remembering a bunch of things
and i'm not sure how often the "spoiler effect via memory thing" happens
(to be clear I am including the phenomena where you see a solution, and then cannot think of another - or you see the answer and then cannot say how you would think if you didn't already know it)
I just agree with the bad memory part specifically, yeah I would bet that we can sometimes take things from our memeory without realizing it 
Personall, I forgot the binomial formula $\binom{a}{b} = \frac{a!}{(a-b)!b!}$ and instead put in something like $\frac{x}{(1-x)!x!}$ on desmos and found the gamma reflection formula after noodling around a bit because of it. Bad memory ftw!
Yeatte
Bad memory can be fun, but in general yeah a good memory is prob better
they drilled this into my head in combinatorics
Thank you I wrote more about my problem on #geometry-and-trigonometry
Can't remember the ZFC axioms, sorry
KFC axiom
Understand it, then use it in problems. The understanding part is the most important, as if you do, then even if you forget like a formula for instance, you'll still know how to get it from scratch.
mendelson uses this in his logic book
the second edition at least
<@&268886789983436800>
Um im lok stressing abt this math test and i was wondering if anyone has any tips on how to remember things with memory issues ?
depends on what topic and what u studied before the test
helps u remember things
when u practice too
hi
@quiet scaffold you're talking about 3 completely different areas
orbital mechanics, maxwell's equation, and schrodinger's equation
all calculus
i dont have any experience with multivariable calc
ah yes, then go learn that first
where to learn it
on LibreTexts there are plenty of resources
I can also send you my uni's notes if you want
which ones would you recommend
literally any of them
would they approximately "start off" assuming that the reader knows highschool integration
yes
see here's where you can learn the dot and cross product
Here is a set of notes used by Paul Dawkins to teach his Calculus III course at Lamar University. Topics covered are Three Dimensional Space, Limits of functions of multiple variables, Partial Derivatives, Directional Derivatives, Identifying Relative and Absolute Extrema of functions of multiple variables, Lagrange Multipliers, Double (Cartesi...
done dot product but not cross
idk why
syllabus is weird
sure, that also works
make sure you cover Greens', Stokes', and Gauss's theorems eventually also
cause I noticed they were absent in the link you sent
is the third abt gaussean surfaces?
well it's called the divergence theorem
i'll look at the one you sent
that's the most common name
Classical Mechanics by John Taylor
Introduction to Electrodynamics by D.J. Griffiths
also
guys I am doing this class but I am already behind on the material, today we covered multivariable limits but I still havent grasped the previous topics, I feel like If I continue down this road I might fail the course, any tips on making a comeback? the course started like 2 weeks ago and I am still trying to grasp the first week material
guys i am new to this server, and this doesn't mean i am good at math, in my most recent exam i only scored 26/40 T_T
so yeah, i suck at this sub and that's why i am here i need help to you guys in how can i really improve my math, i hope u guys is will help this poor highschooler, i know it's different type of question and people don't typically ask this type of questions but pls guys i will be glad if you guys will help me also before ending let me tell you what do my overall syllabus is about:
The Math syllabus is basically a mix of numbers, algebra, geometry, trigonometry, and data handling. It starts with Real Numbers and Polynomials, where you deal with factors, roots, and equations. Then you learn Linear Equations and Quadratic Equations, which are just ways of solving for x. AP (Arithmetic Progression) is about number patterns. In geometry, you cover Triangles, Coordinate Geometry, Circles, and Constructions. Trigonometry introduces sin, cos, tan and is later used in real-life problems like heights and distances. For measurements, there’s Areas Related to Circles and Surface Areas & Volumes, all about finding space and area of 2D/3D shapes. Finally, you end with Statistics (mean, median, mode, graphs) and Probability (chance of events).
pls guys i hope this will reach u and u guys will help me thank you..
the problem is there is no question
it's a just a list of typical HS math curriculum topics
what are you expecting in a response
how can i really improve my math
Practice.
Find problems online and just do them, and also try to do the hw and understand why you made mistakes
yeah tbh it was lost in the paragraphs lol
For the syllabus you described, this sounds like a standard hs algebra class, youd find stuff on Khan Academy
Yeah you can say that
Anki generally doesn't work for math
Definitions, theorem statements, proofs, intuitions…
I dont particularly recommend it, id more so just crank out practice problems that use the thm more than anything
Works for some ppl tho for sure
Im a regular user of Anki for languages, so I am familiar with it; just not for math fr
I used Anki a lot last year, but it got to the point where I was trying to memorize statements I didn't really understand, which was basically impossible. And I find that when I do understand, it's relatively easy to remember, even without Anki
so right now I don't feel like Anki helps that much, for me atleast
Maybe its useful in early ug classes but not much in the upper lvl
in the system
i used it throughout my undergrad and it worked pretty well for me
Hello i was wondering if i could self study algebra 2 with a book and khan academy
yes you can
I took a statistics class for social sciences years ago. I really enjoyed it and now I'm studying statistics again just for fun. I have an Intro to Stats textbook that I'm reading through.
I just read about correlation coefficients and saw a formula that I don't remember at all. I looked through my textbook from the social sciences stats class and didn't see that equation anywhere.
Any idea what the main differences between these two texts would be?
It could be that the social sciences text book uses the formula based on empirical data which gives just an estimation of the correlation, while your current text book gives the analytical formula yielding an exact solution
Try googling "empirical correlation formula" and see if you find that in your social sciences text book
I don't see the empirical correlation formula in my social sciences text at all. I remember learning about the correlation coefficient but my social sciences text seems different than this other one.
Should I just focus on the new text and study those formulas concepts for now?
Did like 100 long division and multiplication problems the past couple days and safe to say ill just use a calculator from now on
i only use calculator if i see big numbers
or latex it bc it makes it easier for me 🙂
$\polylongdiv{2x^5-5x^4+12x^3-10x^2+7x+9}{x^2-x-2}$
アキラ (>⩊<)
blegh
oh that long division package is very useful I used it a while back while typesetting examples for some ugrad notes
That's cheating lol
$\polylongdiv{2x+4}{2}$
Yeatte
Compile Error! Click the
reaction for more information.
(You may edit your message to recompile.)

I wouldn't call that cheating unless u don't know how to solve the problem I'm just using it to check my work or if its too much work to do
u need to add the polynom package into ur preamble
Hello! Does anyone want to be my study partner? I'm currently studying group theory. We'll go through topics one by one and discuss our doubts together. If you're interested, please DM me.
Obsidian + typst plugin
How do you calculate the sum of xiyi in stats? I'm looking at an example in a textbook and I'm not sure how they got the answer. The answer is the sum of xiyi. Help!
Hi
im doing integrated 3 this year for math idk if yk what that is but its all graphs and its the class before precalc, is there any advice that i should know?
you multiple each x value by its corresponding y value and add all the products together
That's what I figured. Thanks!
Looking to start an elementary number theory reading group. Let me know if you’re interested in joining.
pretty much u should focus on understanding the basics of functions, practice graphing different types (like linear, quadratic, exponential, and logarithmic), and get comfortable with operations and terms such as domain & range
hi everyone ,low key trynna learn maths after highscool and i dont know where to start can anyone give me a heads up?
says the guy named algebra
xD
just kidding
but what do we learn from linear algebra
are their any other interesting topics somoene would like to share with me?
thanks man any book recommandation, channel or website for it u can recommand for me?
thanks for the help
wait before i go search the book
i just wanna know if like there are any cool projects or smth i can do witht this new topic?
all of them i guess idk
yeah i do some programming so maybe that
ah okay thanks u ve been very helpfulk
helpful*
Look at a fibonacci series.
This is defined by a difference equation:
$F_n = F_{n-1} + F_{n-2}$
Xe\LaTeX (call me xela)
mmm i fucked something up
ah yeah i gave it a look seemed cool and stuff but i didnt really see it's demenstration besides from the recurrencee
idk if thats what its called
la reccurence in french
You can then find the eigesvalues and eigenvectors,
u assume Fn and proove Fn+1
Oh, I'm silly.
Xe\LaTeX (call me xela)
The characteristic polynomial is $p(\lambda) = \lambda^2 - \lambda + 1$
so, the solution will be $c_1 \phi^n u + c_2 \psi^n v$
Xe\LaTeX (call me xela)
you can find u,v from initial conditions.
In general, this basically works for any linear difference equation.
The same occurs with linear differential equations, and the solution technique is similar but with exps
Hello, I am in grade 9 (school hasn't started officially), and I'm unsure what to do/study right now. Do you have any suggestions? If so, please let me know!
Additionally, I would appreciate some suggestions on extracurricular activities to pursue that are both important and beneficial.
You're almost in high school. That's usually way before most people know what they want to do in life.
For Grade 9, study Algebra 1 or Geometry, depending on if you've taken Algebra 1 in 8th grade or not. I've heard of someone who took Geometry in 8th grade, and in that case, you want to study Algebra 2.
Honestly, for extracurricular activities, you should do something you want to do. This is your chance to find and pursue your passions.
😔
I feel like i hit a wall in studying math
second time
first time was in hs and struggled greatly in algebra 2, and i eventually learned the best way for me to get good at these classes were just grinding problems, redoing hw, etc
got so good at it i could learn an entire exams worth of content the day before and ace the test
and this worked up to discrete / diffeq / calc3 / intro lin alg
now i hit a second wall with advanced math classes like real analysis and probability theory
i felt like no matter how much i crammed i always ended up getting 70s/low 80s
and when i do hw or practice problems i could never get them right, always get stuck for hours and then just like look at solution then be like oh so thats how they do it
i feel like im missing something, anyone got tips for me?
like should i start previewing and reviewing after every lecture?
🗿 i feel like im getting a significant skill issue so i almost feel too stupid to study these subjects
ask yourself what the motivation/high lvl intuition behind these solutions are, and come back to the problems after a day or two and try to reproduce everything on your own. maybe do the same for results in lectures too
eventually your pattern recognition and stuff will get better
help me
Hmm I’ll try that then
yk sometimes my own questions don’t even make sense so I get nervous to ask 😂
We’ll see at least I get to start fresh this semester
I need help with these
- WAM 10
- Math 9
- Foundations: Pre Calc 10
I need WAM 10 to graduate but I'd like to have that extra study for Calc just as a reinforcement for better chances in post secondary
So hi guys! So I have been self-studying maths at my own pace for about 2-3 years. I recently left a different maths Discord server, about 3-4 months ago, but now in need of someone to check my solutions. The problem is these books are not from the "standard" stuff I see online but I do wish for some help. So the books are:
- The Real Numbers & Real Analysis by Ethan D. Bloch.
- A First Course in Abstract Algebra by Marlow Anderson & Todd Feil.
- Linear Algebra by Sterling K. Berberian.
I am just unsure what kind of "self-study flow" would work given I have a handful of handwritten solutions, with the help of my Remarkable 2, would work for this server since they come from various nonstandard books, and are numerous.
hii I have a question, I joined a math club to improve maths cause I suck and its my last year of high school before college, they made me a representative cause not many others wanted to join, I'm still stuck in the basics.. I mostly forgot about some lessons in maths when I went through a heartbreak but its no excuse, I didn't really think I'd need it till I realized college entrance exams needed it, what should I do?
Khan academy
You should generally have a feeling if whether a solution is correct, but if you dont know how to solve something or if youre unsure just ask the question in the relevant channels
Alright thanks! I was just worried if every answers need checking, which requires me to open a help channel that will likely stay for a long while or I need to open-close, then repeat, a help section whenever I need to check my answers
Also lastly, how do you feel about writing solutions here? I know most would prefer to LaTeX their answers, or share Overleaf links, do most just screencap what they share?
You can use $\text{LaTeX}$ here as well
Neamesis
That's true just thought since I initially handwrite my answers I could LaTeX it for my own solution for storage and all, so I can share that LaTeX snippet here~
\LaTeX 😭
$/LaTeX$
Kani Sama (蟹様)
:^)
Oki ty!
a small note just to make sure that you are aware of it, for the subjects you are learning i think its better to post in the specific channels like #real-complex-analysis for real analysis etc.. since you will rarely get an answer in the help channels from a certain level of the subjects onwards
so you get faster responses in the specific channels
Excuse me, i need help
ability to think about practical problems
do you have any way to think, when i encounter word problems, my mind is blank and i don't understand anything
an example of such a problem would be in order
Hello everyone, I am a high school student from Italy, and I have a strong interest in mathematics. I would like to dedicate part of my free time to studying it more deeply. Could you suggest a good direction or path for me to follow in my self-study?
what have you done already?
Hello! I really enjoyed playing videogames since i was like 5. I was wondering if including videogames as a reward system is good for studying?
Im a sophmore so i still got some time
I will! Thank you!
So here is one question I want to ask from you guys, how do you take digital maths notes? Do you make a folder of the course then add a notebook, solutions book, and reference book? Do you tag them? Do you write them, text them, or both?
I used to do that too then suddenly I heard of the Remarkable
I almost just use the device now, I still prefer a physical book though, but I am curious on how to index them since it feels very different to access notes
Nah I am a stats and data science graduate but did poorly on my maths and wanted to write better notes than just reading and copying lecture slides for self studies
Well currently dipping my toes into pure maths but I can assure you I am a different person lol
I for some reason find it easier to focus on paper for me but the Remarkable is a good compromise of that since it is just a single notebook for all my courses
but for some reason reading is still a physical thing for me
book clip?
How does that differ from say a bookmark?
Oh is it made of magnets?
I get scared of those as I had a friend who had hers ripped a page out carelessly
ooooh
I mean it's not for selling just telling me what it is :^)
Hopefully
Where was this thing all my life?
I had a book holder that also does that though but it feels cumbersome to use
Alegabra I done inequalities
yo guys
i want to buy the 991ex on ebay
but idk how to tell if they r real or not
any advice
wdym by real here? like u want to see if ebay is real or what
my advice is look for the QR code on the calculator’s screen or box and scan it with ur phone to see if it goes to the official casio manual online
Does anyone know videos/websites to go to to help explain math things (such as functions etc.) but they dumb things down awfully much? I can't really find anything that dumbs things down enough for me to understand in a way that will help me remember
Trying to study but it's hard when I don't understand :')) (also pls ping if responding(
it is quite bad in my experience
Can anyone help me, pls
As a math novice, I really want to learn new knowledge. 
there are lots of options, you could start learning linear algebra for example. Friedberg, Insel and Spence is a good book for this
Do stuff on khan academy for a while, you can self study basically all of hs math there. A normal progression would be to do algebra 1, algebra 2, maybe a trigonometry unit by itself, a bit of precalc, some calc 1 and then calc 2. There are probably other resources you can find but this is basically what I did
I also suggest you to read "How to solve it" by G. Polya. It'll give you a pretty good base for understanding and approaching problems. It can be lame at times but the book itself makes you grow your curiosity in mathematics.
Really? I have been using it since released and almost never gone back to paper. I initially used an iPad and absolutely hated it until a friend of mine brought up the Remarkable
Now I bring my Remarkable almost everywhere lol
Fair, I personally didn't enjoy it when @glossy mortar showed me his a few months ago
I understand it's just I write more than I type, so this device is perfect for me. I hear better things with say the Supernote due to its ability to link notes though
I'm not sure wdym by dumbs here but when u do look up online u will find a lot things like maybe khan helps u with functions
there's also waterloo website if u ever need it
By dumbing down I mean that they don't explain it in a dumb enough way for me to understand and remember :')
I struggle a ton with memory and understanding and so when I find websites that can possibly help me with for example functions and then they use basic math knowledge and stuff assuming I know that (which is stuff I'm supposed to know, but either I've forgotten or I struggle to put it into that specific context without having it explained to me all over from the beginning) and when they do that I need to go to sometimes a whole other websites to look at the basics and try to make a connection - but that is not helpful as it just gets so messy in my head when everything isn't in the same place.
I'll have a look at khan and waterloo tho, ty
Hi, could someone send me differentiation shortcut worksheet (product rule, quotient rule and chain rule, Im really weak in this area)
especially the quotient rule
I believe u know how to apply the rules, correct?
u can look for problems such as paul's or similar 🙂
Mhm just need some practice
Khan Academy is great tbh. I just started using it for my high school course today bc I was so stuck (and I don’t have a teacher to help me). They really explain things so you understand it.
also very useful!

Do you have a thing for swedes 
How’s Math Academy?
How shall I make short notes for JEE chemistry and maths
Don't tell me to summarise I can memorise that well but those small things deep stuff
do you guys have any advice and tips for my final exam tommorow?
I want to do really well
unironically that for the night before, writing the exam well rested is important
most other things you can do to prepare really should be done with more time
e.g. taking one day to summarize each chapter/topic in your words or etc
Caffeine might not always be the best, you might feel like going to the bathroom mid exam
there are plenty of websites and video courses online! Is it ok if I dm you?
Yes, of corse!!!
dm sent 🙂
I'm looking for someone to help me with basic mathematics, studying complete functions and matrices.
I speak Italian and Spanish
!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.
^
when should I drink coffee prior to my exam
Not the night before
saved me
I have genuinely drank coffee the night before exams at some point
And for me at least they dont end up too well
well what was it like
I’m curious now
9am exam and I slept at 5am
Lol
I did like a half of the paper
And the professor decided when seeing the paper "this student deserves an A"
how old is ppl in mathcord just wanted to know
you must be naturally good in maths

Nah half the class got A, he was being merciful
Is there anyone who can help me study functions also is it good in Spanish
19
billion
sometimes i think back to the study that drinking after studying helps ; and i feel like those researchers were just coping hard

Read more if you have ever questioned whether alcohol improves performance on exams or if it is just a quick way to fail a test.
i meant drinking alcohol if that wasn’t clear
ballmer peak amirite
33
Sometimes I wonder if I should do another bachelors of maths because I sometimes like to believe I can do a PhD despite my late age
...
hi
hi
shuold i take math major
I mean I did applied stats in uni, and was terrible at it lol, then worked as a software engineer, don't really care of coding then hated it when I need to work on it professionally
I would like to try maths maybe? I seem to resonate with it a bit more, now I am sort of doing part time maths tutoring from tutorial centres
Yes if you are willing to exchange your soul for vast mathematical exposure
lol
What a steal! 
@main cliff nice to meet you
i mean... i still have time to think about it. maybe i should...
im only 13 :>
do you recommmend taking it if i take math olympiad
in my country
You have a good amount of time
Math olympiad is completely different from studying math
oh...
I'll let someone else explain it because I don't trust myself to explain well
But in a nutshell, once you start undergrad math you approach the whole subject completely differently. Proof-based and theoretical
ic
Homework consists of writing lots of lots of proofs
i mean in imo problems theres a lot of proof based stuff
and exams
Those are baby proofs
Actually I don't think most imo problems are proof based
Some are but
im pretty sure most...
sigh. i can only get like around 17 in imo now
Solve a millenium problem and get full ride to MIT as a tenured prof
Solve every problem
No
You are just not trying hard enough 😔
Don't give up on your dream
solve every problem
You can do it
We can do it 🗣️ 🔥
I should be reading dummit and 🦶 😔
I left it in my dorm and I'm too lazy to fetch it which is sad
Groups which I think is chapter 1. i just started my algebra course
I really should be reading ahead
I have more prominent things to worry about like measure theory and chatting on Discord
I know what they are
No I just have some general mathematical exposure
This is my first actual algebra course
2nd
Yep
Yeah it's hard
I'm probably not good enough but I'm doing my best
Will lock in 🔒
Real analysis
That was the most advanced
By far
Everything else was kinda just to meet baby prereqs, like calc 4 and linalg
Intro proofs course
I would say that real analysis was the only serious math course I did first year
Survey of real analysis , topology, metric topology, Riemann integration
It was part of real analysis
I haven't taken a dedicated topology course yet
Yeah just baby pointset top
The stuff relevant to developing the theory of real analysis
the basics
🔥
Yeah I'm taking algebra next sem too then after that I plan on doing grad algebras
for 3rd year
grad algebra 1 and 2
if I do well enough that I can get in
Algebra 1 is groups rings fields
Algebra 2 is modules and uhhh
Lemme check
algebra 2 is modules over rings, structure theorem for modules over PID , Galois theory basics
so that'll be upcoming spring for me
I can't take a Markov chains course bc it conflicts with alg2
Honesty I might just not do a dedicated topology course at all
Not at my uni, not a requirement
I kinda just want to go through munkres myself
Maybe yea
I might have a change of heart
I mean I did a solid amt of pointset in analysis
But I see what you mean
I would have to do topology third year
Next semester is stacked already
Complex analysis, multivariable analysis, alg2
No it's one semester
Yeah I also do computer science so
Also they're like the 3 hardest undergrad math courses
Depends, this one is joint with the grad complex course
It's not one of those applied complex courses, it's all theory
But I think analysis in several dimensions is the hardest of the three
"hints on how to solve the collatz conjecture" was considered trolling
I'm so nerdy - I calculated covariance and the correlation coefficient by hand for a stats problem earlier. 🤓
hi
welcome @craggy meadow !
?
suree
oh thanks a lot
it's literally peak
Now imagine when you have infinite dimemsions
are numworks calculators really that good
my stats teacher treats them like a gift from god and says that ti-84s suck
but from what ive experienced they are so miserable to use
Based
I need to learn complex and clifford analysis, and galois theory still
What would that be
Functional?
Intro galois theory kinda ass ngl
All math kinda ass ngl actually
I wanna be a Lego master builder not a fucking mathematician
Oh no
If you want I summarized my course, I can send you it
I would very much appreciate that actually
We introduce a flexible and graphically intuitive framework that constructs complex quantum error correction codes from simple codes or states, generalizing code concatenation. More specifically, we represent the complex code constructions as tensor networks built from the tensors of simple codes or states in a modular fashion. Using a set of lo...
Disgusting. Bastardizing the one thing I hold dear
Weird question.
What paper do you guys like using for studying?
I've sort of fallen in love with blank paper but it leaves some to be desired especially for graphing something quickly.
I'm thinking of playing around with graph paper/ the ones with a bunch of blocks lol.
Dotted paper is the best imo but blank is great too
usually i don't think too much about what paper i use because i type up everything afterwards anyway
im used to doing normal work on 5mm squared paper and graphs on (1mm squares) graph paper
I use notebooks not loose paper 
But the notebooks have blank pages, no lines or dots or anything
Question: why does (y-y1)=m(x-x1) exist when you have y2-y1/x2-x1??
I usually use blank printer/copy paper and my whiteboards
for maths i mean
at some point i stopped doing maths and converted to 8mm lined paper and i havent run out of it yet
i think the lines are a litle to big for my preference but its difficult to find any other size of line so i just cope
hello I am y13 and I want to apply for cam maths does anyone have any advice on how to prepare for the step
I think only start doing timed stuff near the end
Focus on making sure you can solve the Qs first
Also starting prep now would be good
Also make sure you know the deadlines and processes for registration and stuff
I usually had a rough idea of how much time questions were taking me before I started doing proper timed practice, but also don’t stress over that
Starting prep now is decent, but also make sure you leave enough stuff for closer to the time
Step support programme online is pretty helpful
Ah yeah leaving stuff for closer to the time is useful
Also be aware that STEP gets much harder in recent years, as far as I can tell
Yeah there was a change in who set it in 2019, and it got a fair bit harder
Mhm
Oh you won’t be taking it but it’d be worth looking through old STEP 1 questions
It’d also be good to collaborate with anyone else at your school also sitting STEP, if any
I think there are also online and in person events you can sign up for to help with STEP
Do make sure that you’re doing your A levels properly as well
Also do not discount the mechanics or stats questions
If you can learn how to do them well they can be an incredibly useful source of marks
Limiting yourself only to pure questions is a risky strategy
In general I would say that, at this stage, try to be very open-minded about the kinds of questions you attempt
I feel like having broad understanding is more useful for STEP than very deep understanding
At least from what I remember
If you’re extra you can keep a spreadsheet of the STEP Qs you’ve done
When you look up solutions, I’d highly recommend writing down interesting tips or tricks or insights you got from them, in a place you can revisit later
ok thank you very much bro
no worries, but not a bro ;)
Hey all, we're taking a course in probability (last semester was an utter shitshow and we have/had to retake the course) and as misfortune would have it, we have to take the same professor again too
His lectures are very boring, he reads off the slides, he doesn't explain inutuition for why much of anything works, his homework has gotten slightly less nightmareish than last semester (no more 2-3 page computation nightmares yay) but how do we..stay engaged with the material? We struggle with sitting down and doing the homework, either because we struggle with the material or with just find it so utterly boring
Ive already got my a* in maths 😃

did you apply cambridge?
Yeah I went to cambridge for undergrad and masters
The what
because tbh i dont feel very confident ill even get an interview
like that youre smart enouhg lol
That’s more for them to decide
Is it free?
No there’s tuition fees
For yew kay nationals or for anyone?
I need to lock in real quick or else I don't think I'll be able to become a physicist 😔
Oh I just realized you said "No, there's tuition fees"
I read that as "No there's no tutition fee"
There are tuition fees for UK nationals (or maybe residents) and higher tuition fees for otherwise
Also for internationals some cambridge colleges (or maybe all of them?) add on an extra "college fee" for I don't know why. They don't charge this for home students

Per semester? Per year?
For home students the legal maximum (for public unis, which is like all but 3 of them) is a little over £9k per year
Basically every uni in the UK charges exactly the maximum
So they charge exactly the maximum and are going broke?
Hilarious
That's a great price though
As an American, I could only dream
Yes, where I could get an associate's degree in mathematics which will take me up to calculus III and Linear Algebra, then declare that I'm done.
Or a slightly more useful but equally short degree in something I care less about
They're best if you're planning to go to one of the more expensive institutions in the first place, or if you are looking for like certifications and certain trades
Essentially yes
but it doesn't solve the problem of the expense of university for years 3,4
I'm already 30k under

Guys I'm applying to imperial in a few months does anyone have any advice with the admission tests (Engineering and Science admission Test, ESAT)
*overspills ur nonstandard elts*
Slightly better than my schedule
It's rough life as a student yeah
Thankfully I enjoy the work in all of my courses since they're basically all pure math
Typst/LaTeX 🇬🇧 🇨🇳 OCR
dump math formula and get typst/LaTeX code
https://github.com/e-zz/MixTex-OCR-WebRebuild
original:
\begin{CJK}{UTF8}{bsmi}
昨日再次提交 PR,滿足套件擁有者對梯形公式
$$\int_a^b f(x) \, \dd x \approx
\underbrace{\frac{b-a}{N}}_{\text{\begin{CJK}{UTF8}{bkai}梯形寬度\end{CJK}}}
\left[ \frac{f(a)+f(b)}{2} + \sum_{k=1}^{N-1} f \left(a + k \, \frac{b-a}{N} \right) \right]$$
的需求。
\end{CJK}
interpreted:
昨日再次提交 PR ,满足套件我们有者时梯形公式
$ integral_a^b f \( x \) thin d x approx frac(b - a, N) [frac(f \( a \) + f \( b \), 2) + sum_(k = 1)^(N - 1) f (a + k frac(b - a, N))] $
的需求 。
vin100
i have been grinding like a madman but i don understand anything
exams are getting closer and closer
Which subject?
i have like 2 weeks to catch up on the material for 3 classes that I am taking
That’s rough
Being behind is difficult
When I’m behind I don’t even try to understand anything I just try to somehow compute what is necessary
But if it’s a proof based class you can’t rlly do that
anal 1, algebra 1 and algorithms 1, for anal we are covering vector valued functions , for algebra like binary relations combinatorics, modulus and congruency, divisibility and proofs, algorithms I can pass it but I need to catch up aswell
what are you majoring in?
university life is rough dude
you are from america?
Yeah
The last time I was very behind was in high school though
I'm behind in life 
nice pfp
university is eating me alive dude
jajajajaj
Thanks
There’s no such thing
grind math 6 hours a day
dw I am 😄
but the timing for esat questions are really difficult
@narrow ingot is the answer c to that limit n tends to \infty problem?
what
Use a help channel
i wanted to just check what the answer was
I enjoy studying mathematics just for its own sake, not for exams, grades, or any specific purpose. But because of that, I often feel lost about how to study.
For example, when I read theorems, proofs, or definitions, I usually understand them in the moment. I might even rewrite a proof to check that I follow the logic. But after a week, I fo...
i thought this was an infinite sum but it turned to just be a sequence (and a nicer infinite product)
note that 1/2^n > 1/2^(n + 1)
so if you do 1/2^n - 1/2^(n + 1) you will always get a positive number
good so that aligns with the choices
in sequences it's a good habit to check how this behaves for probably until n = 3 (i did this in my r.a. classes)
and another thing to note that 1/2^n =< 1 => 1/2^n - 1/2^(n + 1) =< 1
for p/q * r/s, where q > p, s > r, where q, s ~= 0, you can say that the entirety of p/q * r/s =< p/q or r/s
and this is an infinite product of small numbers (p/q and r/s are examples)
i'll let you figure that one out
@gaunt ruin what exam?
like, algebra 1 and analysis 1
Oh same, what are you more worried about?
Well I finished algebra a while back, but taking analysis now
this is like my first semester in university
This is how I am studying for my analysis course
I am worried I would need to retake some courses
Oh dang, you took hard classes for your first sem
yeah 😬
I mean they are not necessarily difficult, but idk if you particularly acclimated to the uni environment
Keeping a positive attitude and focusing on your mental while maintaining the grind is really the important part you should take away from uni regardless of what major and life
I am not from the US, like my university doesnt let me pick the classes until the last year of my major
yes, fr
I appreciate it, but arent MIT classes hard to follow ?
how did it went?
As I said this is like my fourth week in uni and in less than 2 weeks we already got the first midterms, and I am behind, im kinda cooked
No? Any university should prepare you for the content because no one in the undergraduate level is making up content as they go live, usually. If your uni teaches the classes based on the textbook, then thats what makes it standardized
There is no difficulty association between universities, the only time this is the case is if the test questions are harder, or if there is a niche class. But the content will almost always be the same
Try to watch some of the lecture videos and maybe you might notice some familiar things https://ocw.mit.edu/courses/18-100a-real-analysis-fall-2020/video_galleries/video-lectures/
This is also assuming your Analysis I class isnt a intro to analysis but instead actual UG Real Analysis
its intro to analysis I guess?, like I need to pass Analysis 1, Analysis 2, Advanced Calculus, and, Probability theory before I get to take Real Analysis
I am not from the US, and here undergraduate degree takes like 5 years
yeah, I think my university teaches based on some textbooks, but idk, I feel like the rythm compared to pre university is very different
I see, then yeah you definitely have far ways, and because the courses are preselected, im certain the uni prepares you properly or else ppl wouldnt go 
But if you ever have a analysis question, feel free to ping me in the help channels, ill def be happy to
Specifically an analysis question w/ proofs
analysis has never been my preferred cup of tea, like, I have always preferred algebra
Yeah im in the same boat
in preuniversity we also had classes of like, basic algebra and basic intro to anal
Oh also, #real-complex-analysis exists
Thats a perfect channel to get specific help even on problems for as long as its proofs based and not like constant help
well, most of my questions go into #multivariable-calculus unless we get too proofy I ask in the real analysis channel
Idk if id say they are easy, but thats really bc of professor determines how the course progresses; some may be harder than others
like Pete Clark in our uni has classes with a high fail rate, but the ppl who pass dont forget what they learn in them atleast
Looking at the sites i pulled up, its a lot brought out of rudin questions, so i guess its normal?
mit has a high enrollment of math majors comparatively to the other two, esp for dual degrees
Well, you still have to do the academic work for both?
I guess what do you have to do for your major?
maybe we should move to #math-discussion
Gotcha, most universities does not require a bachelors thesis here, but you would have to take classes concurrently with one another, and most of the time you would have to do an extra year
Unless you do around 5-6+ classes on avg per semester, its unrealisitic to graduate in 4 years for a double major
I mean, gen eds yes, but this isnt something thats considered as a part of your degree itself. There are two areas of institutional requirements which everyone thinks is stupid, and then degree requirements
institutional is just bc the uni wants money imo
my uni does not 
Our major only takes in 4xxx level classes, anything 3xxx and below, which would be lin alg, intro to analysis, proofs, and the entire calc sequence are just prereqs but not for the degree
oh also diff eq ofc, not being counted
yeah idk maybe its just a uni specific thing, but i havent really heard that anywhere else afaik
Wait, you might be talking about a minor?
A minor in universities is if you take the prereq classes and then 1-2 upper level courses
Gotcha, yeah for us you can get double degrees and minors in anything. I considered doing Math and CS double degree and a minor in classics
I just stuck to maths and cs
need to study frfr now
took enough of a break, but fun talking!
!iam
?iam
,iam
Gave you the studying! selfrole.
might be, I havent taken anything from them, though
is there any mit class that teach , multivariable limits
like, limits of multivariable functions
Whichever course that is an introductory course in analysis
fuck my life
i would assume the multivariable calculus would
do they?
Why
i mean i haven't looked closely but that's a standard part of multivar?
Analysis in R^n definitely, but multivariable courses vary in rigor
multivariable calculus*
I don't know how deep MIT multivariable calc courses are and i imagine there are more than one?
so do they cover or not?
What are the course descriptions
Probably not
Well plenty of limits of multivariable functions are obvious
But there are functions that don't behave well
I am stuck with a multivariable limit
Yeah this is a computational multivar calc course , not analysis in R^n
What is it
I thought every multivariable class covered multivar limits?
hop in #multivariable-calculus
multivar limits are in the usual calc textbooks (stewart, thomas etc)
what book is that?
stewart multivariable calculus and thomas' calculus respectively
this is prolly the engineering curriculum from MIT
how one deals with boredom with subjects almost as if trivial
I don’t even have the motivation to attend class anymore
I absolutely don’t understand what the point is to do those calculus or analysis basically just one inequality away from the finishing line
Is it a good idea that one takes some course from higher year or maybe extracurricular classes? Or I should stick to my current curriculum for now as it will be a bit more interesting?
It is a fact that many high school actually teaches very elementary epsilon-delta so I would not say it could be hard for anyone.
make it interesting , there is always more to learn in every topic no matter how elementary, see also: / https://terrytao.wordpress.com/career-advice/learn-and-relearn-your-field/
Ofcourse if attendance isnt mandatory and you'd like to learn a new subject in the free time you get, thats also fine haha
I have done this a decent amount. But the problem is almost always time constraints.
Its hard to get anywhere when you spent days exploring one theorem.
Hello guys.. I'm practicing mental math.. for basics any suggestions? because I feel hard
For me it's just that my obsession diminishes once I have seen a proof I feel that I understand
That’s why you need to move on to more and more advanced stuff
I need a book on congruent systems and Chinese reminder
How do I study for maths? What should I be doing in each of my classes and lectures
Try your hand at problems
at lectures, paying attention best you can
Should I be taking notes in my math lectures or no
You should.
My lectures are recorded tho
Then no.
Recorded on what?
Noting is more time-saving.
True
Also, do you know if this server has any coloured roles?
Depends
if you can, then it's usually good
but some of my math lectures are too difficult to keep up with note taking and it becomes distracting, it is better to just completely focus
Yeah I find taking notes on maths a bit difficult as well


=)))
