study-discussion

[main trail]

Yea, you do

[heavy needle]

Hm okay

So then yes this makes sense in any euclidean ordered field

How fun, it goes hand in hand with Sylvesters Law of Inertia

[main trail]

I have no idea what that is 😭

[heavy needle]

Sylvester's?

[main trail]

ye

[heavy needle]

Hmm

[main trail]

I haven't done qudratic forms and all that yet

[heavy needle]

I think of it as a classification of metric vectorspaces over euclidean closed fields, you can equivalently think of it as (and it is usually introduced as) a classification of symmetric bilinear forms / quadratic forms up to change of basis

It says that two Inner products are equivalent iff they have the same maximum positive dimension, negative dimension, and degenerate dimension

Or in other words if the corresponding matrices have the same numbers of positive, negative, and null eigenvalues

It is what allows us to unambiguously refer to R^3,1 or R^4,2

As long as your field is ordered and every positive number is a square (Euclidean Ordered Field), you have Sylvester's Law of inertia

Ordered fields are needed for CS obviously

[main trail]

yup

[heavy needle]

Next, the IP <v,v> only gives you |v|^2 in F, so you need the root of <v,v> (or its negative) to actually exist in F in order to actually define |v|

Is there a book you are using for your class?

[heavy needle]

If you don't have roots like this, then you get more inner products for each equivalence class of scalars that differ by a factor of some square scalar

So [a]={x| exists k s.t. x=ak^2}

[heavy needle]

I want more references for this topic

[main trail]

Halmos

FDVS

https://link.springer.com/book/10.1007/978-1-4612-6387-6

[heavy needle]

Based

[long hedge]

fr why would google use ai to find a better matrix multiplication algorithm after 55 years

AI managed to solve an unsolved math problem, meh doesn't matter

[main trail]

Are you being /srs

or /j

[long hedge]

obviously /j

if ai can solve problems that have been unsolved for 5 decades it seems pretty obvious why people are using ai for math

[main trail]

It's idk

it kills the act of thinking

pondering

[safe harbor]

Most people can't think anyway

[long hedge]

its increases my act of productive thinking

Because i use it to do menial things like lateX. i have more time to actually think of the math

[main trail]

yea, no, I know people who use it for hints/ proof check assignments

it's allowed by the prof, but feels bad

[scenic shuttle]

why I can't understand anything in here?
also them using ai and still doesn't makes sense

[long hedge]

Ok but if u use ai you dont have to do it like that, u can use ai for math in a way that works for you

Its a false dichotomy that u either never use ai or use it for everything

[haughty bay]

more often than not, i let it explain terms to me that ive forgotten

[long hedge]

Thats another great use of ai, recalling things u forgot

[haughty bay]

im against the overuse of it, but i think since ai is a thing now and nobody can escape the usage of it, we might aswell use it in a beneficial way

[long hedge]

I dont understand how people think googling a definition you forgot isnt an issue but chatgpting a definition you forgot is « killing your thinking », either both are killing ur thinking or neither are lol

[haughty bay]

lmao literally one way or another

chatgpt unifies the definitions for me which i like and to ensure it isnt giving me anything false, ill always review the definitions it gives

ai is not all bad in math!

[long hedge]

Id go further and say its great, ucla professor used gpt5 pro the other day to generate the main idea behind advancing an open optimization problem

[main trail]

That's easy. gpt explains too much

[haughty bay]

how remarkable (and somewhat terrifying) is that

[long hedge]

U can just prompt it to be concise lol or more easily in the settings of gpt set the default to be concise

[lament heath]

can you set a token limit

[green terrace]

Because one can hallucinate and lie and give you false definitions while the other, while more manual, is generally a bit more reliable. Ofcourse the nost reliable way is to find a book or paper where the object you see is first defined and use that instead

<@&268886789983436800> scambot

[long hedge]

Is it ? Depends on what u use it for. For mvc for instance gpt + reasoning made maybe 2-3 mistakes out of 500 questions+ i put in

For algebra it hallucinated quite a lot

But for just plugging in definitions ive never seen it make a mistake, it halkucinates on problem solving and stuff

[haughty bay]

hallucinate and lie in problem solving for sure! it is not reliable at all in that sense (for now ). but in terms of definitions, it’s able to unify many many textbook definitions into whatever type of explanation you need, whether it be simple and concise, or long and rigorously explained. just to be on the safe side you can always “feed” it the information you don’t quite understand and have it explain it to you to ensure it does not pull something out of its ass lol

[glacial raven]

@scenic shuttle i work full time and study math degree in part time

[haughty bay]

i understand it’s more of an ethical/moral dilemma than anything, but i don’t think the rep it gets is deserved

[storm tide]

#chill

[scenic shuttle]

that still doesn’t answer my question

[scenic shuttle]

my fault

[scenic shuttle]

@glacial raven

[heavy needle]

Well the bigger issue is the format of the response. Google results (in the old days) typically force your brain to still be halfway on as you sift through the results to decipher actual statements. The AI will just feed you those statements which may still need to be fact checked, encouraging autopilot

[glacial raven]

@scenic shuttle i am studying calculus 2, plane trigonometry part 1 by sl loney, statistics 1 and elements by Euclid

[scenic shuttle]

im changing my mind

[heavy needle]

About what

[long hedge]

Ruthless

Average ado fan

[scenic shuttle]

its just i have already studied calculus before and im self-studying real analysis so i dont need it when i already know it also i dont need stats either

[scenic shuttle]

[heavy needle]

What did you change your mind about I mean, it doesn't seem obvious to me from what I see of chat

[scenic shuttle]

about this #study-discussion message

basically a study group

[heavy needle]

Ah

My only study interest is [can you guess it?]

[scenic shuttle]

algebraic geometry

[heavy needle]

https://tenor.com/view/get-this-man-a-get-this-man-a-gold-get-this-man-a-trophy-comedy-gold-art-gold-gif-25837757

[dusky glade]

How much do high performance students in mathematics self study per day?

My study hours fluctuate between 1 to 3 hours a day depending on my energy levels, but that just doing seem enough for my goals

[royal basin]

easily geometric algebra

[rocky terrace]

Geometric algebra 🗣️

[lament heath]

define "high performance" and are you early/late undergrad

[dusky glade]

High performance := students in World top 10 institutions with near perfect grades

I'm 2nd year undergrad in uk

[lament heath]

no idea which 10 you mean
im in my 1st year and i did about 1h of work a day for university outside of classes? but my finals are coming up and i have a project to submit for a grad class so that's 8h now

[dusky glade]

How do you push to 8h?!

[lament heath]

i think that's why i have a fever rn HAHA

just need to make it through one week and it'll be okay (lies i tell myself)

if it weren't for that one module it would be 1h a day, and mostly on my psych/writing class

[lament heath]

doesnt this also depend on number of modules and what the content is

[dusky glade]

Hmm, so I asked one Cambridge student online and apparently 5 hours a day consistently is pretty high performance even among his uni. I just don't think that's attainable ✋🤯🤚

[lament heath]

cambridge!! what year, i might know a few y1s

[dusky glade]

Idk his year. Might be yr3 or 4

[lament heath]

oh okie

[dusky glade]

I guess I'll just keep grinding until I can do 4 hours consistently

[lament heath]

why does time even matter so much to you

[dusky glade]

Because I'm really behind. I kinda came to maths late (technically just took a gap year for rehabilitation)

So there's a lot to catch up on

[lament heath]

why does time seem to matter more than content for you

[lament heath]

what topics

[dusky glade]

I've started abstract algebra and multivariable calculus. But for a second year student in uk that seems eh...

[dusky glade]

Content does matter. But I'm also from a third world country so I kinda need scholarships. Makes me very desperate to get ahead

[lament heath]

you get ahead by learning the content better and faster than other people

[dusky glade]

Hmm, I thought I just put in more hours🧐

[lament heath]

anyone can put in more hours but what are you putting in those hours 😭😭

[dusky glade]

I usually just spend my whole day self studying from a textbook until my brain is fried

Soo, just regular self study. What everyone else does I guess

[lament heath]

i do not do this 😢
but im a cs and math student

my allegiance lies with cs

[dusky glade]

Everyone is different. I feel my priorities lie with grades and intellectual curiosity rather than, idk, partying? Though I love partying 😀

[lament heath]

wait people actually party

omg

[dusky glade]

We had a party for my highschool cohort when we were graduating. Went to Vietnam and stuff. Very fun😊

[lament heath]

cool!!!

dm?

[dusky glade]

Sure😃

[heavy needle]

Fire emoji

[rocky terrace]

It's not about quantity, but rather about the quaility

[long hedge]

Unfortunately i am not at this level so i cannot answer

But neamesis is

[long hedge]

Why necessarily top 10 institutuons ?

I feel like a top student outside of em can di very well ir is often better

[dusky glade]

I guess the top 10 part was arbitrary. I just wanted to compare myself to the kind of student I want to be

[long hedge]

Just be more talented fr

Become gauss

[long hedge]

How does bro not like partying

[dusky glade]

My thinking is that the amount you actually learn per day is quality times quantity, but the quality part has diminishing returns after a while.

So really I'm just trying to maximize how much I can do per day without burning out

[dusky glade]

Bro is spitting facts 😭🤯

[long hedge]

There is no need to compare yourself to me

Comparison is the thief of joy

[dusky glade]

I do get this concern a lot (thank you for the kindness 😭), but I feel like I am enjoying myself a lot

The tension between enjoying the process and working towards a goal is something I feel a lot of students face. In my case there isn't much of a tension there anymore

[long hedge]

Number one in obesity

[main trail]

not from a top uni, but ~ 10 hours

a lot of it is just thinking though

not actively studying

just pondering

sketching examples

[rocky terrace]

Quantity also has diminishing returns after a while

[main trail]

Ideally the active work will be like 2 hours per day

the rest will be passive but intensive pondering

[main trail]

how you doing ?

[rocky terrace]

Extremely bad

[main trail]

:(

[rocky terrace]

I'll figure it out, I never give up🗿

wbu?

[main trail]

Had a kind of fun , but simple problem you may like

[main trail]

Life is looking up ( in other words funally getting a ton of marks in RA)

[rocky terrace]

Let's go 🔥

[main trail]

And my assignments are fun at last

one example of a problem I had ( this has been graded)
find all cont functions from R to R st f(f(x))=-x

[long hedge]

Bro is not stopping until he is a professor at oxford fr

[narrow lark]

hi

[heady timber]

I have my Arabic midterm in 12 hours from now is it better to sleep then study for a few hours before I go to school or study rn then sleep and go to school

There are so many definitions to be memorized and studied

[raven kindle]

Algebra midterm in half an hour

Rings Z[sqrt(d)] are something, any tricks for factoring

I know about the norm

[storm tide]

Get proper sleep. If you wake up early, spend the morning doing something relaxing.

[raven kindle]

N(a + b sqrt(d)] = a^2 - d b^2

[outer rapids]

that's about as good as it gets lmao

[raven kindle]

Fair

[cinder marsh]

i find some people care more about where they're studying rather than actually pursuing knowledge

[long hedge]

Yes literally me

[cinder marsh]

thats horrible

[long hedge]

Ur mom

[spiral goblet]

i have a 76 in math am i cooked midterms are realeased tmmrw can i have a academic comeback

[heavy needle]

If you can't do the math yourself to determine if you are cooked, you probably are cooked

[spiral goblet]

https://tenor.com/view/spit-take-gif-1656048852932871321

[scenic shuttle]

r u planning going to top school or something?

bc that doesn’t look bad

[polar mist]

what strategies do people use for comprehending and noting whats important when reading prose parts of books? i usually try to categorize sentences into "statements" and "comments" based on whether they introduce new ideas or if they expand on / relate previous ideas, and from there i try to connect the lines so they make sense to myself, but im curious how other people approach this

also regarding note taking, ive been experimenting with it a lot and at the moment i dont make many notes of what i read as an exercise in mentally sorting information, usually only taking notes to follow along definitions and proofs, but im also curious how people approach this

[lament heath]

if you mean math books i pretty much only follow proofs

[polar mist]

yea math books

[lament heath]

but you should not trust me with logistics!! ive only been in university for almost a semester

[fleet hill]

something helpful imo is after you read a section, close a book, and make a concept map of everything you remember from that section (important definitions, theorems that connect them or motivate them, etc.), then you can go back and see if there's any crucial material that you missed

I don't personally do this super often but I think that it helps when I do

[fleet hill]

this channel is for advice about studying, so this post is off-topic for this channel

[late pollen]

[main trail]

what would the correct channel for acad related rants be

[fleet hill]

uhh I don't know, probably any of the casual discussion channels

not this one though

[main trail]

Noted

[safe harbor]

I mean #advanced-lounge is for discussing academic life no?

[main trail]

I forgot that existed

☠️

[rocky terrace]

https://youtu.be/9qlqVEUgdgo

I do this (or at least try to)

For the prose part, I just read what's written, if I don't understand it, then I pull out a paper and a pencil and try to make sense of what they meant, and/or ask someone

[royal basin]

this may not be an answer to your questions but i recommend that you try proving the theorems/propositions alone before looking at the proof given by the author

[timid basin]

The less obvious a statement is, that’s a good sign that something is going on

If you don’t see how to prove it, something might be going on

And developing an idea for “shapes of arguments” can be good

Like, “I wouldn’t have thought of this statement, but BCT + and open and closed argument would do it” even if you don’t immediately see the details

Since the shapes of arguments are sometimes the rhetorical conceit of books

Like, the point sometimes is to write proofs for the argument more than the statement

[rocky terrace]

3Blue1Brown is currently making a series of videos explaning how the Laplace Transform works

[long hedge]

3blue1brown when he meets 3brown1blue

[swift acorn]

anybody know any place with exercises on diferencial calculus, or places that actually have free exercises instead of paying

[lost drum]

Beleive the truth that has bourbaki

formalism ,

Math=meaningless game of symbols with rules .

not just in math but in everything , Have knowledj and work .

Know to work with it and work to know more and dont work until you know .

Knowledj is demonstrated truth beleives , you should proove things to beleive them .

Study actively and work the demonstration and exemples of textbook .

Search to know the work of others and add the knowledj of others to yours like it was said maybe by da vinci :"by listening you will have minds of others "

to have a community of people's knowledj inside yourself ,in any thing search contribution and the work of others .

[deft ruin]

who are you talking to?

[lost drum]

All.

[deft ruin]

even ignoring skepticism (like Descartes), which you will have to acknowledge in your argument, you cannot operate day-to-day without believing things that you don't have absolute certainty in. for instance, when you get out of bed in the morning, I imagine you don't verify that the floor is still there, despite the fact that you cannot be certain that it is

[scenic shuttle]

https://tutorial.math.lamar.edu/Problems/CalcI/Differentials.aspx

[swift acorn]

,help

[mossy shadow]

A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

[blazing merlin]

<@&268886789983436800>

[queen trail]

thanks micose

[long hedge]

Mico the group birb when she meets mico the ring birb

[blazing merlin]

I murdered it

[green terrace]

What about the field birb, the vector space birb, the module birb, the category birb, the semigroup birb, and the monoid birb

are they all dead too?

[deft ruin]

all in the same murder!

[blazing merlin]

Well y’know what they say
Kill 7 birds with one stone

[green terrace]

This implies they're all crows

[long hedge]

You are so mean micose

[green terrace]

but uh also enough of this discussion, this is #study-discussion

[thorny girder]

I wonder about a reverse kind of way of approaching things. Like you find a topic that is interesting, and then fill in the details of concepts needed to understand that topic. or, perhaps a mix of both that and a standard sequence of topics going on too. https://en.wikipedia.org/wiki/Coxeter_group this looks super interesting to me for example. What might be the concepts needed to understand that. although, sometimes maybe in the process of exploring a standard sequence you might find something you would have never found if you didn't survey what's there first. so maybe both at the same time kind of.

[thorny girder]

Like, while taking a standard sequence of classes, you have a few subjects that you study towards kind of like that too.
Maybe you haven't taken abstract algebra yet, but coxeter groups look super cool, so you study a bit on groups to get an idea.
Sometimes I wonder if having something like that which you study towards can provide a context for more deeply understanding something, than just studying something by itself without that context. At least you could revisit it later on if you don't fully understand it. I wonder if some subjects could be introduced much earlier on in the curriculum like that. Linear Algebra and concepts from Abstract Algebra, for example.

[normal sleet]

It certainly works, quite a few of my friends have their own side projects and so they learn a lot of math outside the curriculum

For eg if you think counting integer points in polyhedra is cool you can look at the text "counting the continuous discretely", its fairly accessible

Or if you like twisty puzzles
Theres the book "Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical Toys" by Joyner

[barren remnant]

Is openstax good for learning calculus?

It took me like a whole month to get through half of the first lesson of the first unit in volume one on my own, because I forgot all the algebra I learned in school

[barren remnant]

I used to learn a lot of algebra in my old school outside the US, but to me it was just transformations of values and variables but in my current high school I feel like a real mathematician that’s discovering key facts about the properties that make up objects around us such as how to find the area or volume of an object around you even if it’s quadratic

[green terrace]

Secret tip: Basically every bloody calculus book is the same in order, pacing, and soemtimes even problems

The only difference is gonna be in explanations, but even those don't vary a lot

[barren remnant]

ooooo

ty ❤️

[green terrace]

I like Thomas, one of my friends like stewart, but both books teach integration theory fine, for example

It's not like one book covers a bunch of super esoteric or different stuff than another, you haven't reached the parts of maths where it matters yet

Like eventually yes, books will start to matter because they not only cover material differently but they also cover outright different material, or they approach constructions or whatever from completely different ways

[green terrace]

RE: shifting and scaling functions, there's a section in Stewart's Precalculus (or actually most precalc books) that describes the general process

https://www.stitz-zeager.com/Precalculus4.pdf chapter 5 of stitz zeager, for example, covers it

[barren remnant]

oooooooo

[green terrace]

I believe this is also covered in strang's openstax book or any of the openstax precalc resources too

[barren remnant]

Niceeeee

[green terrace]

yep

[barren remnant]

oooo

[long hedge]

Oh my god u cs majors

[lament heath]

meals are such an inconvenience when im studying

[rocky terrace]

I like meals, they taste good and they give me energy🔥

[dusky glade]

I'm a fan of eating but not a fan of cooking 🤝

[lament heath]

i shouldnt eat anyway

how do you do work consistently, idk why im procrastinating again

[dusky glade]

I try to train myself like an athlete. E.g. when you take a break it's not really a good idea to do nothing for more than 10 minutes, because a break is supposed to be a reset, not a distraction

I also like the idea that consistency is just continuous momentum. You're not trying to force yourself to work, you slowly build up that momentum and then keep doing what's natural

[rocky terrace]

I don't

I procrastinate for 3 months, and then during the end of the semester I panic and curse myself for wasting all the time I had

while frantically trying to learn enough material to pass the exams

Next semester that will change 🗣️🔥 because I'm already changing it a bit

[scarlet plover]

Does anyone have any advice for actually studying/learning maths? I haven't found anything which has worked for me this year, i.e. what I mean is

do you take notes during lecs? Do you handwrite and then type up notes in latex? What are you doing through the week? Do you aim for finishing every tutorial/tutorial question? Idk something like that, like the actual process

[fallen wharf]

Is it ok to do math if you're not a math major?

[long hedge]

No

[fallen wharf]

I just can't afford it man...

[long hedge]

If you do math without being a math major the government will fine you 10000$

Anyone caught reading math will be sent to jail for 15 years

[long hedge]

Where u live ?

[fallen wharf]

I'm js scared if anyone at University see me doing math.. they'll make fun of me 😭

Call me nerd and idk what not ...

[long hedge]

Yeah its true there are people walking around uni just looking for people studying math so they can attack and make fun of them

[fallen wharf]

And at home there's just too much noise to concentrate

Only at night I can do it....

[fallen wharf]

I mean I have friends who could do that yk 😭

Our major is software engineering

[long hedge]

Bros major is unemployment

[fallen wharf]

They just make wrappers around the true rigor they mistake verbosity for depth

[fallen wharf]

That maybe true

[fallen wharf]

I mean they might get jealous that I'm doing it and not them?

[long hedge]

People who dont know you wont give a shit

If ur worried about ur friends just study away from them

[fallen wharf]

Wb the bozos who do?

[fallen wharf]

Then I'll be l...left alone?

[long hedge]

People dont randomly walk up to someone theyve never seen in their life and make dun if them first studying math

[long hedge]

Good

[fallen wharf]

Damn is it?

[long hedge]

If ur reading a math book you dont need 10 people to keep you company

If anything it is distracting

[fallen wharf]

Rn I'm trying to construct
a^n - b^n

[fallen wharf]

Yes for sureee

[fallen wharf]

Not even that I'm just working on a problem and I need silence
I guess I gotta grow up and stop thinking what others have to think about me

[long hedge]

Dw regardless of what u do ull be unemployed with software engineering degree

[fallen wharf]

I mean I just want to solve problems... It's easy for me to get a job anyway but I don't wanna work in software industry

[dusky glade]

Do you find it difficult to self study from books or just keeping up with lectures?

[sleek crystal]

hi

[sleek crystal]

is that the
a²-b² = (a+b)(a-b) thing?

[fallen wharf]

Because it's also being populated by react Andy's and there's no point in making more LLM wrappers tho bozo employers still pay for that shi

[torn olive]

I mean the trick to this is to fully schedule time to go the grocery store and time to cook

and also cook larger batches

also don't be afraid to mix and match premade vs cooked things (for example, premade frozen dumplings + a salad you made yourself)

I think everyone should own a slow cooker / crock pot

there's an entire genre of "dump and go" recipes for that where you quite literally throw all the ingredients into the thing in the morning

let it go for 8, 10 hours on low

come home and food is ready (plus these are quite big, so you have dinner for the next 3-4 days)

I do this all the time

[torn olive]

I haven't tried these in particular but if you want basic I think this would be a good place to start: https://www.reddit.com/r/slowcooking/comments/1ks4ff/6_ingredients_or_less_v30/

if you look up slow cooker chicken tinga on Youtube, there's this channel Internet Shaquille whose recipe I've made like 4 times (but it's a little more involved)

we should move this convo to #1207415626381918309 so ping me there if you have more questions

the slow cooking sub is a good sub tho

[blazing merlin]

<@&268886789983436800>

[long hedge]

Why would u thank spam

You should report spam to the moderators immediately

[scarlet plover]

Hmmm, a bit of both, really. My only problem with textbooks is like, wtf do I do if I don't understand a certain part

[scenic shuttle]

depends on what topic

sometimes vids helps more than just using a textbook

[scarlet plover]

hmm well I'm in undergrad sooo coming up to number theory/analysis 2/Lin alg

[scenic shuttle]

icic

well maybe doing some research outside of textbook might help u understand the part

books or papers

[tropic void]

How do I know what to black box and what not to when learning math

[blazing merlin]

Probably the best way initially is to have people who know what you can just black box tell you

[tropic void]

Hm I’m self-studying algtop atm though

[rocky terrace]

Surely you have access to people who have studied algtop before, you could ask them

[tropic void]

hm…

I guess I have some friends from undergrad who did

At the office I’m mostly around physicists

[wispy zephyr]

could also ask in the relevant subject channel

[rocky terrace]

There is also this cool server called the math server where you can find a bunch of topologists

[blazing merlin]

Lies

Topologists don’t exist

[swift tartan]

wowwowowowo whats it called

[heavy needle]

Guess

[swift tartan]

sorry should have added a sarcasm/joking tag, my apologies

[heady timber]

Is it humanely possible to cram for 2 midterms within this hour

[upbeat spruce]

i don't think so

have you been procrastinating?

[heady timber]

No I just had an incredibly busy day yesterday so when I came back home I just crashed 💔

I’m so cooked i think I’ll just prioritize one and let the other rot

U are actually a genius

I’m crediting you

[knotty linden]

The only thing you can do is just review the stuff you think you know

Just walk through that, or go through your old problems that you know how to solve. Say what was tricky, and how you can remember to avoid making mistakes

[heady timber]

Word okay I’m about to head in school I can study in break

[glacial raven]

what works for me whenever i have to cram, which i don’t like to, but it can happen, is to create a practice exam and take it

you’ll quickly identify what problems you struggle with and then you can quickly log it in your mind before the exam, but just make sure to study those concepts after the exam

how to study it, capture big picture of how it’s relevant and connects with past ideas, then practice the problems

probably a good thing to keep a set of flashcards of the main points of each concept and then building a few practice problems to redo throughout the week, maybe for breakfast or dinner

[heady timber]

Oh this is actually a great suggestion cause I can use the worksheets and assignments my teachers upload like as my practice exams basically

Idk how but god genuinely saved me cause I did well on both (I should have not) and it was such a close call that I’m never letting happen again 😭😭

[opaque jungle]

Guys does anyone have any specific methods/advice for studying. I study atleast 20 hours for each test, practice problems, make sure i understand the question, every trick i know but still do badly. I need to study more effectively but dont know how. Im in first year uni for science also

[lament heath]

what topics are you currently learning

[wicked trail]

any tips on reducing basic arithmetic mistakes…

somehow thought -14-4 was -28 and took me a long time to spot the mistake

it just gets better the more u do?

its becoming a common issue in all my papers and its really bothering me

[lament heath]

im in uni and i lost >15% of my practical to two off-by-one errors, it happens

[opaque jungle]

Chem bio math

[glass ivy]

What do you think is better for self-taught calculus learning: Stewart's book, MIT OpenCourseWare, or should I combine them (though I think that might be more time-consuming and I don't really know how to do it)?

[lament heath]

is this pre-uni? if so i found it useful to go over mechanisms for chem and bio
no idea what math topics you're learning though

[opaque jungle]

No im in first year UNI

[lament heath]

is it similar to AP chem/bio topics

[opaque jungle]

Yes thats what i heard even tho i never took ap

[lament heath]

the above probably still applies

(i took AP Chem and did bio olympiad, never got anywhere with bio though)

[opaque jungle]

What about math

[lament heath]

idk whats first year math

ive heard everything from precalc to abstract algebra/multivariable/complex analysis

[lament heath]

so what math are you doing

[opaque jungle]

Calc 1 if u had that

Derivatives

[lament heath]

what trouble are you having w calc

[opaque jungle]

It was easy in highschool but uni derivatives is way harder flor sum reason

Application

I can dl all the easy questions obviously but when it comes to a type of question iv never seen i get it wrong

[lament heath]

do you have examples

[glass ivy]

I'm learning calc 1 to 🥺

[opaque jungle]

An optimization problem i struggled w yesterday: find the greatest area of a rectangle u can fit under the parabola 9-x^2 and over the x axis

I understand what to do now bit i wouldve never thought of that on a test

[smoky needle]

Hi everyone, I'm actually a freshman in medical school, there is no math anymore, but I want to become an absolute beast in mathematics, what topics should I study first, how/where can I study those subjects

[misty mountain]

how much math did you do in premed?

[smoky needle]

I'm in Belgium so I went straight from highschool to medschool

I think I have a solid base in Calculus, I learned integrals, basic calculus and conic sections

and the fundamentals

[green terrace]

<@&268886789983436800> channel advertizing

[storm tide]

Yeah, please don't do that.

[storm tide]

Hmm, I'd say that depends if it was a math book or not. (And in any case clear it with ModMail first, to avoid miscommunication).

[misty mountain]

so it seems you're in about the position of someone who would otherwise start university in math, meaning you could (if you wanted to) find courses at roughly those levels and just follow them

which is probably advisable compared to just getting a book and reading (at least at the start), because there'll be a bit more structure

so things like MIT OCW and looking up course syllabi at nearby universities is a reasonable idea, if there's subjects you want to pursue first you might ask here or some other place for specific recommendations

starting with university level calculus, linear algebra, and learning to think about proofs is probably the first place to start though

[smoky needle]

Okayw appreciate it 🙏

[solar shard]

The YouTube channel “The math sorcerer” has some awesome vids and tips for studying. Hope that helps. In multiple videos he shares a lot of great points.

I’d just search “math sorcerer study” on YouTube and some of them will come up for you. One tip he shares is using a timer that is not based on your phone or laptop - to avoid distractions and help you focus 100% on math. Another tip was being in comfortable environment in general. There’s much more but those are a couple I remember off the top of my head. @opaque jungle

[bold dock]

have any of you guys used obsidian for your notes or anything else in your studies? ive never really taken notes before in hs and college but want to try out and am unsure whats the best method

also do you guys prefer lecture first then the textbook section or vice versa

[near timber]

Maybe just ignore the last year or so

[solar shard]

Do you mean ignore the last year or so of his content? I’m pretty new to mathematics and his channel so idk what the shift would have been in his content if that’s what you mean but what I’ve seen has been helpful

[worldly rune]

tried obsidian but not a fan

to me the main utility of notes is extending my brain memory with paper and working through things while i think about it

i rarely if ever look at my notes again after i write them

[safe harbor]

I've never used obsidian, I do use TeX though. And I recommend it, the learning curve really isn't that bad

[near timber]

Kind of a nutjob

[worldly rune]

with obsidian i feel like you spend way too much time actually setting things up for it to be worth it

learning tex is good but i prefer taking notes by hand

[safe harbor]

Me too. I find that writing things down helps me remember them, and I only reread my notes like the night before a final to refresh my memory.

[outer rapids]

holy shit, he somehow looks so much more unhinged shaved

[worldly rune]

the hand movement also helps with memory a lot

also the layouting process

[near timber]

It is quite easy to fall into that yeah. That's why the best tip to start is really just to start writing and only change like fundamental stuff when you actually think you need it

[safe harbor]

Loch what did you use to write up solutions to psets?

[safe harbor]

Or don't be a luzer and use LaTeX like a good

[near timber]

I don't like this statement

"use pen, not paper"

[worldly rune]

bachelor i did it by hand, masters i started doing it in latex

[safe harbor]

Gotcha

[worldly rune]

except for some drawings...

good way to learn latex but overall not sure it was worth it

[near timber]

Should have spent an hour tikzing it smh

[worldly rune]

i should

its not too bad

but i think i only took 3 or so "normal classes" during masters

[solar shard]

Do y’all think I got a calculator that is sufficient for even the higher levels of mathematics? I got the Casio FX-9750GIII - I am nowhere near ready for anything proof-based or even calculus right now but I’m wondering if I made the right choice as opposed to the TI-84+ which was about $55-60 more

New to the discord nice to meet you all 🙏🫡

[worldly rune]

this should be fine for pretty much anything

besides, you won't need any calculator for anything proof-based really

[solar shard]

Oh okay, I appreciate the insight. And that makes sense, from what I understand that goes more into the logic and argumentation so I can see why the calculator isn’t really needed since it isn’t so much “computational” anymore - if I’m understanding correctly 🧐

[hoary kindle]

This is why I kinda gave up on it. I wanted to get into it this sem ahead of having to write my diss because I found in my UG project I was having a hard time to stay organised with all the papers I read and stuff, which obsidan seems perfect for. But like the learning curve to set things up is steep and I just dont know if its worth the effort

Plus I like to take hand written notes sometimes and the writing on ipad is a mess

[bold dock]

i usually end up more focused on the formatting of my notes and the organization of it all than actually learning the content so i feel like hand written notes done without care for how they look might be a better choice for me

how do i learn how to study lmao

[tropic void]

wait really

my obsidian required barely any setup

[olive geode]

yeah, I don't remember much setup at all 🤔 I just downloaded it and started typing

[lament heath]

how do you force yourself to do things consistently

[lament heath]

a lot of things i look forward to but cant get myself to attend or write a submission for when it comes down to it

[deft ruin]

This actually isn't that bad of an idea you could get a friend to also Zelle you when they slip or something so it'll break even in theory lol

But as far as actually understanding yourself and your psychology, I think translating things you enjoy intrinsically to external motivation is not good in the long run

It's hard to separate since the world is so performance-focused. You basically have to be extrinsically motivated by things like grades and job prospects etc. But if you genuinely want to do something, try to tap into why, and that might help you want to do it more

It's hard because we're so primed toward extrinsic motivation that sometimes it doesn't feel worth doing something like studying when there's no longer a grade or money attached

[quick elk]

everyone pay Chipper when they slip
brilliant

[compact current]

Ladies and gentlemen, I have been rejected from the master's program in pure mathematics.

[worldly rune]

you have to make an effort to put links into documents and this informs even overall formatting decisions

after all, if i only wanted separate files, i have no real reason to use obsidian

[tropic void]

Is putting links into documents that much effort?

[worldly rune]

besides, i never gained anything from those links or the graph view really

[worldly rune]

you might want more meta formatting, which becomes work

also it feels like it wants you to add lots of fluff writing (and write like a Wikipedia article) to get more cross links

never got anything out of that personally 🤷

[tropic void]

for me i didn't need this

the linking came quite naturally to me

[scenic shuttle]

hi, i’m looking for some advice on study methods. for anyone who uses ai tools to study for midterms or tests (anything except math or physics – in my experience it’s really bad at those), how effective have you found them?

for my specific topic, i’m studying cabt material for my biomed course, and my professor recommended that i use ai to prepare for next week’s midterm. but i’ve noticed it sometimes gives me a headache or makes it harder to focus. is it just me doing something wrong, or is the professor just getting replaced with ai? how do you use ai in a way that actually supports your studying rather than overwhelming you? i really don’t like using ai because it makes me feel dumb. any advice is appreciated

[glacial raven]

is this a shitpost

[scenic shuttle]

no

[glacial raven]

your professor needs to be guillotined

[scenic shuttle]

what advice can you give

my prof literally makes the midterm from using ai

[glacial raven]

has to be rage bait

[scenic shuttle]

oh man i cant understand today's brainrot words these days

[opal cargo]

let's hope the professor doesn't grade using ai too

[royal basin]

depends on how he uses it. If he tells the ai its correct at the end of the message then it will automatically be correct

[austere axle]

make it your slave

[scenic shuttle]

on it

[upbeat spruce]

you would be surprised to learn my uni has a course dedicated to vibecoding and profs encourage AI for projects

[glacial raven]

i think many people i know would have an aneurysm seeing this

wtf are doing with education

[misty thicket]

I generally use it when I have difficulty in memorizing and tell it to make a mnemonic,since medicine is all about memorizing.
Don’t know if you have stuff to memorize.
But in your case you could tell it to give you a way to memorize an equation or steps for example.

It helps a lot because if I feel sometimes the provided mnemonic is difficult ,I tell it to give me another one.

Iteration till I find a good one 😂

[worldly rune]

this is crazy

its a fine exercise, but not for a university

[timber blade]

Ah awesome. A course dedicated to QA and debugging. It's about time they introduced that.

[misty thicket]

You can use AI for studies indirectly, no need for solving since it could provide erroneous answers.
By indirectly I mean study methods:
Like ask it to give you a list of methods to approach for example a problem containing this and that .
Or ways to memorize (story,mnemonic,real life application,connection etc….).

[scenic shuttle]

cabt requires a little bit memorizing I think. I have some notes for it but I google them to understand the question. I have an anatomy class in 3rd year and I already know how the class will be, like you said memorizing. I will avoid ai for this and just use online sources for now 🙂

[scenic shuttle]

I tried something like this before and it didn't help at all

maybe I'm just using it in wrong way but I often use it to give me some suggestions for grammar mistakes

[misty thicket]

No problem

[steep grove]

What uni do you attend to put on my list on which to avoid?

[upbeat spruce]

ho chi minh university of science

[lament heath]

making a code editor with llm/rag integration seems like a decent swe project tho (is that what it means?)

[upbeat spruce]

both, actually

my project needs to include some form of AI in it, but also vibecoding is highly encouraged

[polar mist]

the uni im looking at has pushed for ai investment in its teaching methods and although im not entirely sure what it entails im sure not looking forward to using it (and i wont unless i absolutely have to for something and if so i will curse that course)

[deft ruin]

wait can someone seriously explain what "vibe-coding" is to me?

(I don't program)

I've heard the term around and kinda assumed it was something like coding really quick without worrying much about the details or something? but that just doesn't really make sense

[storm tide]

Basically, tell an "AI"/LLM you want a program that does such and such, and what it comes up with is the result, unless you try running it and it does something completely wrong.

[lament heath]

some people dont run it 😭

and they push to main

[cinder marsh]

lmfao

[steep grove]

I think I would try to transfer

To a different college

☹️

[lament heath]

i hate calc sm

i hate math and cs tdy

[dusky glade]

Calc 1 and 2 do be pretty tedious. When I got to analysis I had a lot of fun though 😀

[lament heath]

maybe im bad at calc

[dusky glade]

Everyone is bad at calc when they first learn it🤣. It's just so different from everything else up to that point

[lament heath]

...i wish i could say it's my first time learning it

[dusky glade]

That's no problem. I finally got it on my second time

Or third, I don't remember

[lament heath]

is calc 1 similar to calc bc?

what are the numbers for

i gtg soon!

[odd parcel]

Anyone here from ISI(Indian Statistical institute)

[cinder marsh]

starting abstract algebra was a WAY bigger leap than starting calc

in abstract algebra its all abstract

you write proofs, and work with the general case

basically no numbers

[glacial raven]

no

[quick elk]

rosy reappears just to answer no to that

[deft ruin]

calc BC covers calc I and calc II

[vital chasm]

Ik a few ppl from there, why?

[bold dock]

ideas for how to make a self study plan based around a textbook? idk how i should go about choosing problems to do for practice (entire textbook problem set or just some of them or from some other resource)

i was also wondering how u guys went about taking textbook notes (if at all). like focus on in depth notes or moreso just notes as a method of slowing my pace while reading. idk if latex page or paper would be better

for calculus

[polar mist]

how many problems to do varies on you and and the material, you should focus on doing enough problems to get an understanding of the section and then you can move on if you feel ready

if youre a little above your comfort zone but not completely lost in the sauce and still understanding with some effort thats a pretty good spot to be

self studying comes with a caveat of there being less pressure to actually learn stuff since theres no examinations like in school so its pretty easy to feel like ure up to speed on smth u maybe actually arent but in my experience as long as try to be honest with urself and take ur time when u need to its fine

[polar mist]

not sure about written notes but smth i recommend is, whenever relevant, draw and make figures

esp for smth like calc

get comfortable with putting ur thoughts into pictures

my notes consist mostly of drawings and personal comments and thoughts about the material

[tardy relic]

Random question , if I have a perfect right triangle you know like 3,4,5, will there squares be able to make one?

[storm tide]

Try it and find out?

Also #geometry-and-trigonometry

[orchid lake]

No visuals most important

[pine vector]

Just copying this from another place I had incorrectly inserted this:

I just need advice for studying. I got 95+ every quarter in Algebra 1 last year, along with a 97 on the regents. This year, in Honors Geometry, nothing seems to be clicking with me. I got a horrible grade of 78 last quarter an have a 61 right now, and I just don’t know how to help myself. I have a 9th period Sophomore Tutor I meet with before tests, I do all my homework and extra review she gives us, etc. My teacher is also useless, always making it sound like I’m inconveniencing her when I ask a question. I do, however, need to raise my grade immediately regardless and just don’t know what else to do. Again, I do every packet or extra review she gives. Thanks.

[restive shell]

Hi does anyone do maths specialist

@everyone

[hollow sky]

reading mathematician’s delight by sawyer
I like sawyer’s book because he says like “let’s understand math from the ground up”
I especially like that he describes math with concrete examples before abstract ideas, such as writing straightforward sequences of numbers before introducing functions or derivatives.
I want to get a skill like switching thinking between concrete examples and abstract ideas when I need, when I read and think about math

[glass nimbus]

Real

[tropic void]

<@&268886789983436800> spam

[thin panther]

Hi guys got a quick question

Which topic should I start when I'm relearning analytic geometry

[dusky glade]

Straight lines, parabolas I guess(?).

[whole idol]

How do I study for Algebra I eoc I took the course three years ago

[swift tartan]

if its hs, khan academy is the way to go

[swift tartan]

I assume this is also on the hs side, if so khan academy as well

there isnt really a better free resource than that

afaik atleast

watch there be a instutional access highschool algebra springer textbook

[whole idol]

The course is on the 14th do yoj think I could grind out all lessons by then

[thin panther]

Alright 2 tho it ain't for hs

I just forgot the topics in the subject

[swift tartan]

It depends on you tbf, if you retained most if not all, I would say definitely you would be able to and even have some freetime (given you arent working a job), otherwise, having atleast some knowledge might be able to get you close to there

Ofc it depends on your study habits and etc etc

[whole idol]

I’m in algebra II and took geometry I think I have some knowledge

I had a reallg bad algebra I teacher

Tjat skipped a lot of units

And I didn’t find out until I already selected to progress

She skipped quadratics

Because it was towards the end and she was overwhelmed because we would barely ger work done because my school has horribke behavioral students

[swift tartan]

I am lost? I dont think I understand what you mean by analytical geometry then

[whole idol]

I transferred out to a technical school
But

So I’ve had to work extra hard in those courses to get A’s and AB’s

[swift tartan]

Oh dang, thats sucky, since you are in school still, it should be fine to finish by the 14th just have to put in some effort along with your current(?) studies

[whole idol]

yes

Yes I will

I hope I pass

Because the other option to grhadya without that is really doabale

But I’d love to prove myself wrong

[thin panther]

Were talking abt the same topic

[swift tartan]

iirc quadratics is near the end of alg 1

[whole idol]

Yeah she skipped it

She sucked

She got fired

I failed the test and got above the school average

[swift tartan]

Oh, are you saying that Khan Academy isnt helpful for the subject material then?

[thin panther]

Noooo

We've got misunderstanding going on

😭😭😭

[swift tartan]

Ah gotcha, no worries

[thin panther]

Khan academy is so helpful olus the fact that its free

[whole idol]

I’m
Gonna report my ex algebra teacher to IRS

she pissed me off

[dapper light]

is it better to take notes when self studying on a computer (i.e. typesetting via overleaf) or using a notebook
in terms of i guess content retention
idm speed

im reading ladr but lowkey my notebook is messy and ive realized i fill like 2 of them for a subject

rn what im thinking is to first take notes on paper then transcribe to latex

then for problems ill use paper as scrap and answer on a document online

ig its really slow but i do want my stuff to be digital

[normal sleet]

You'd have to try out yourself, doing things on a computer typically doesnt work for me

So I handwrite my stuff and transcribe to latex if necessary

[dapper light]

alright

i just like that it's neat and easily rereadable

whenever i write notes i never read them cuz theyre messy af

also its easy to verify proofs cuz i can just copy paste a ss

[pine vector]

Any advice on this lads?

[dusky glade]

I don't know if you've been doing this already, but it's time to start systematically self studying from some book or other resource imho.

When I was in 7-8th grade I used to take my marked exams and attempt all of the questions I got wrong until I get 100%. There were also these work books with tons of high quality problems, and I think I did all of them. What I'm trying to say is that you may need to start identifying your mistakes and working on them, or make the effort to find all of the mistakes your making (through self study ofc)

If you don't know what resource to use I recommend the (relatively short) book "precalculus mathematics in a nutshell" by George Simmons; everything is concise and has nice problems to work on

[dapper light]

A processual math like that automatically gets better the more problems you do

Find more questions online on things you're struggling with

[wispy igloo]

what is your guys approach to taking notes? its my first time studying proof based math and i feel like i have a hard time writing TOO much

i hear that doing the proofs to the theorems on your own is a good exercise/learning

rather than just copying it

[rocky mauve]

Especially if u are new to a subject, getting used to the recurring themes of definitions, proof strategies, theorems, etc… is very important. In regards to theorems, even if u can’t write a proof for them at least try to spend some time thinking on possible proof avenues and doing some scratch work; I think that will pay off in the long run and help develop some intuition

[rocky mauve]

Also this probably goes without saying but try to do as many exercises as you can stomach

[wispy igloo]

i feel like

even atm i couldnt do the simplest of analysis proofs w/o it taking hours and hours

[wispy igloo]

i try to do a mix of the things you have said. but i also find if i do it too much, i just get stuck on a subject and never moving on

[rocky mauve]

That’s a fair point; u need to work your way up slowly

Just like any developing skill really

The more u get used to it the more u will be able to handle

Plus there is definitely a level where the marginal benefit of effort is not worth the added burnout

Also if u literally just started them u have to copy a bit just so u can understand the proof techniques

[wispy igloo]

ive seen proofs before in diff subjects

admittedly, i doubt i would have been able to come up with them w/o having seen it before. i havent seen analysis proofs before at all

i think i have to be patient and remind myself how long it takes to learn smth from scratch

do you think it would be worth it to go through one of those introductory proof books? my peers give them a bad wrap and say i should just continue with analysis/do analysis problems

[rocky mauve]

I mean it certainly wouldn’t hurt, but I would say u also don’t want to burn urself out on proofs that are uninteresting or too tangential to what ur focused on

Also depending on what intro real analysis text ur using the first couple proofs are meant to ease u in to general proof strategies

[wispy igloo]

i find a lot of books either to be on two ends. too wordy or not wordy enough

[rocky mauve]

Yeah that’s kinda why I personally didn’t spend too much time on an intro proof book

I never really found one that struck a good balance and was almost always too wordy

I just went to lectures and called it good

[wispy igloo]

everyone ik is just rudin pilled

[wispy igloo]

i have to self study it

[rocky mauve]

I’m an average Folland enjoyer myself

[rocky mauve]

Yeah maybe skim a book and do a couple exercises then

[jovial sparrow]

doing them on your own is good but time consuming. I think something that helps me is to basically try and write down a sketch of the proof in words after having read it. I find that if I can't give a high level proof overview then I don't really fully understand. Also if there is some non-obvious trick in the proof, I try to note it down and really distill the trick down into a general principle I can use in other situations

I don't ever really copy down proofs word for word tbh I don't think it's super helpful at least to me

Alternatively rather than doing proofs entirely on your own you can kinda do a hybrid with what I said. Read through and write down only the main ideas and key tricks, then later try and prove the results but only with the proof sketch that you wrote down earlier

[devout sun]

I've been doing more latex
Paper is probably better for retention but if you do enough problems on paper it's probably fine since for me most of the proper learning comes from problems (or even just recreating proofs of what you've learned on paper)

[wispy igloo]

i will probably go with this approach

as well as doing more problems

[edgy sierra]

I write my notes on a clay tablet

Just like the ancient Indians did

[pallid spindle]

I use obsidian’s canvas with the community plugin “latex suite” to mindmap my notes, it’s not something I can do on paper very easily

You can also use the “latex math” community plugin to use sympy on latex expressions

Like hotkeys that algebraically simplify latex expressions / highlighted parts of latex

Latex suite is a bunch of macros, and it’s pretty easy to add your own

[lament heath]

i generally do not write notes unless im trying to solve something

[main trail]

uh, so I may fail a course this sem

but it's a very high level course, so how likely is this to affect grad applications

I can get is dropped from my transcript

ofcourse I'll try to pass it atleast

[stoic lantern]

what course

[main trail]

A first course in operator theory

[stoic lantern]

oooh

[main trail]

It's LA, yes

BUT

in my defense I took on too much this sem 😭

[vital hearth]

just asking like

when you're reading a textbook, do you typically make notes? if so how

(im specifically referring to math books btw)

[scenic shuttle]

I usually take notes from a book when doing extra problems, or sometimes out of curiosity when I want to understand a proof

I sometimes code the problem in python to check my answer. It really helps, and it gives me an extra challenge to make sure I understand the material 🙂

[twilit mason]

i write things down just so i can have the time and context to internalize them. i also write in details that the authors gloss over.

like heres a recent example: ill write down the proof in red and ill write down details i filled in myself as well as just scratch work and relevant definitions in blue.

[rocky terrace]

I used to, until I realized I'm just writing down the things written in the book

The book already explains things concisely, so I just started reading the book and doing problems

[twilit mason]

<@&268886789983436800>

oh

oops

[ember pine]

I already lance lance'd 'em

[twilit mason]

peak

[civic wasp]

thanks, @silent tangle

[civic wasp]

,iamnot studying

[mossy shadow]

Removed the studying! role from you.

[shrewd trout]

https://www.rxddit.com/r/math/comments/1p8jm3d/how_do_you_all_read_textbooks/

[normal sleet]

If your lecturer is subpar you'd refer to the textbook

[main trail]

I'm so cooked

( all from halmos)

[golden pawn]

I believe in you. DO IT OPEN IT AND GO AT IT. do you have access to chalk and blackbaord? if so HEAVEN!

if you go to uni just go inside a classroom. I often visit my friend's uni and we go inside classrooms that are empty to use the big sliding boards

[golden pawn]

Nope I find it very hard to read in general, when I open a textbook I like to prove the propositions in the discussion itself (not the exercises) myself. and then move on, like if there isn't a lot of me doing stuff I get very bored. I don't do many exercises unless I feel like I can't do that particular one, then I do that.

[jade furnace]

I finally got constructing sinusoidal functions (without phase shifts) down!

That took a while to get down.

I'm very close to finishing Algebra 2 now.

[golden pawn]

that's cool how are you constructing them?

sorry I'm not trying to "quiz" you or put you on the spot I was just curious,

[jade furnace]

No worries! I can explain the best I can.

So first, you determine if it's sin or cos based on if the midline is at x = 0 or not. If it is, you use sin. If not, you use cos.

Then, you want to see how far up or down the midline is from 0. That's your y, basically (which I will use d for).

Then, you try to determine the amplitude of the equation by seeing how far the maximum or minimum is away from the midline. That would be your a. Sometimes, a is positive or negative depending on if the point they give is below or above the midline (I think).

Finally, you have b. You just multiply the distance (between x values) between the two points by four and solve for 4x = 2pi/b. Usually, that's just multiplying 4x by 1/2pi and then raising it to the -1 power. Eventually, you do enough times to where when you see 12, for example, you know that b = pi/6.

Put it all together and you have asin(bx) + d or acos(bx) + d.

[golden pawn]

Oh I see you are constructing the asin(bx) + d by getting the constants from the graph. thats fun.

[jade furnace]

No, this is between two points without the graph.

[golden pawn]

so you are given for two x1,x2, the values of a(sinbx1) + d and a sin(bx2) + d?

wait I don't get it lol like I understand your process but I don't understand what data you are given

[jade furnace]

90% of the problems are basically, "A point on the midline is (0,3). The maximum is at (3pi, 4). Make the equation for that."

It doesn't show the graph. You have to construct it without the graph.

Something like this.

[golden pawn]

Aah I see. cool. I've never heard the word midline being used. but I get it. Nice.

[jade furnace]

What word is usually used instead?

[steep grove]

dang

i was going to reply to someone who helped me decide on resitting cs

and i think they got banned 😭

since their msgs are gone

[steep grove]

I finished school this year but I decided I'm going to resit a level computer science (and potentially further maths) to get better grades

They told me to resit in October and ever since then, I've been thinking about it

[winter nebula]

i write things down to make sure im following

but not everything

[nocturne brook]

You seem familiar, i have a friend that has the same name as you

[winter nebula]

[nocturne brook]

Oh it's you

[rocky terrace]

I like how your pfp is literally just i but with extra steps

[nocturne brook]

yeah bru

its the first letter of my name, that's why i kept it

[rocky terrace]

Are you from Italy?

[nocturne brook]

nah bro

yeah the colors do look like it

but it's actually for palestine

i messed up ig

[nocturne brook]

wait you are friends with slender?

[rocky terrace]

I do know him

[nocturne brook]

i see

[solemn lava]

Will they ban me if I ask doubt related to subjects other than maths?

[nocturne brook]

No, i saw 3 guys post chemistry questions in past 2 days

They didn't get banned

[reef ocean]

you can do so in the discussion channels, also this one is prob fine to ask for tips on studying specific things that aren't math

[agile hollow]

derivada you are no more a mod???

damn a lot of things has been when i was busy with exams

[rocky terrace]

dishonorable discharge of Derivada

[jagged flare]

i am a 0580 IGCSE student and I want to give jee mains/advanced exams
what should be the foundation (what topics do I lack)

[sour cliff]

Hey if u r igcse why’d u put the undergraduate tag

U are pre university

[jagged flare]

umm what is pre university

got ut

how to change it

got ut

ty

[gaunt ruin]

you don't need to be in university you just need to be interested and do undergraduate math

[night kayak]

looking for a math study partner

[vapid belfry]

sigh

[sour cliff]

I said so since he said he was igcse

[worn wharf]

yeah IGCSE people's brains will explode if they even see 1st year maths

[sour cliff]

U doing a degree in math? I’m aiming to do the same or maybe physics. I’m also in IGCSE rn.

[proven anvil]

What to study?

Not me?

[mint ginkgo]

-# I'd bet Israel ;D
-# [but it isn't really on-topic, so eh.. i'll dip out]

[scenic shuttle]

X.E.

[night kayak]

anything they would be interested in im interested in algebra analysis number theory etc...

[proven anvil]

What level, I might be up for it?

[night kayak]

ive done a little bit of each but it's been a minute

[proven anvil]

Okay. X E.

[night kayak]

for number theory elementary

[night kayak]

is this set theory lang for include me in the set of elements of study group lol

[proven anvil]

Maybe. X E.

X E is a not lying thing in bio. X E.

Don't click links. X E.

[night kayak]

aight

[proven anvil]

Well, looks like you clicked a link anyway. X E.

[night kayak]

Bruh why are you saying X E after every sentence

[proven anvil]

Suffice it to say am weird. X E.

[rocky terrace]

I'd bet Earth

[cunning totem]

X E

[cunning totem]

It’s like how your grandparents sign their text messages

[wispy zephyr]

dear nGroupoid
what do you mean? it's perfectly normal to structure text messages like emails
best, cloud

[rocky terrace]

X Æ A-12

[glacial raven]

Good to see you around once again

[mint ginkgo]

what if I cant type
I would have to write all of that down on a piece of paper and send u a pic right

[edgy sierra]

book of proof for naive set theory

you will use it for intro-level algebra and analysis

[night kayak]

Dam

[night kayak]

Well let me know if you’re still interested

[proven anvil]

Sure. X E.

[night kayak]

Okay I’ll let you message me when you’re ready then

[proven anvil]

Ready?

[jagged flare]

guys if I want specific types of questions how can I make it using some app or ai?

@tropic root

[tropic root]

do u really need to make ur own questions?

There is a big chance someone already wrote the questions you are looking for

maybe tell us about the topic and type of questions u need?

[jagged flare]

these types

it isn't available online it is from a coaching class. the exams are private so there isn't much resources available

[stoic lantern]

take any of these questions and change the numbers a bit

see what happens

[jagged flare]

ok

[proven anvil]

Okay, ready. X E.

[heavy needle]

I structure emails like text messages fr

Email my district manager like "Ay Pablo", his name is not Pablo

[green thicket]

Struggling with trignometry in Calculus, how to approach?

I know the formulas but somehow cannot apply them when trying to tackle trigonometric functions

[night kayak]

I meant like dm message not over this text channel. Also I just found out I’m going out of town next weekend for a week so we should talk after then.

[tulip urchin]

im lowkey going back to basics to try and understand ill let u know if it helps

[dusty oak]

mathematicians

questions

about simulators

‘Fidelity’, ‘realism’, and ‘accuracy’ are concepts used extensively in the simulator related literature. Borgvall [10] (p. 244) defined fidelity as ‘the degree of similarity between a simulator and the environment it is designed to simulate’. Owen [11] (p. 9) defined realism as ‘the extent to which the simulation or simulator appears, feels and/or behaves the same as the real-life system’. Finally, accuracy is defined as the degree to which a simulator’s real object representation is precise and is normally associated with an objective measurement [12]; it is about exactness [3].

from those statements ...
i still cant understand the difference between fidelity, realism, accuracy

cant someone help me understand?

please ping

[storm jasper]

Have you done practice problems with these trig functions

[storm tide]

You'll probably have better chances of a useful answer in #modeling than in this generic channel about study methods.
I don't really know the field-specific jargon, but I note that your quote isn't actually saying that any of the cited authors is using both "fidelity" and "realism" with distinct meanings.
The last sentence appears to be saying that while fidelity/realism are more vibe qualities, people tend to use "accuracy" more in situations where the fit of the simulation can be quantified.

[ornate moat]

any practical suggestions for getting back to studying math after a long time?

[short cypress]

Any advice on trigonometry finals?

[scenic shuttle]

depends on what topic u want to go back

there are tons of math topics that takes a while to remember (speaking of higher math)

[ornate moat]

I am thinking about studying Linear Algebra

maybe a nice youtube playlist with a good presenter can help

I tried reading some notes I downloaded but it seems very opaque to begin with those alone.

[scenic shuttle]

I dont have any yt playlist for linear algebra cuz i learned it by reading a book and im still working on proofs in my free time

im reading 2 books iirc and if ur curious about them i can share em

[ornate moat]

proofs?

[scenic shuttle]

proofs I mean learning linear algebra with its proof not just matrices, dets etc…

here is an example

[ornate moat]

Oh you mean like a more involved course rather than the usual computational type courses offered to Engineering and Sciences majors?

[scenic shuttle]

ye

the math im doing in engineering is lame and boring so i just study other stuff for fun 🙂

[ornate moat]

feel free to :) I am browsing through common suggestions in forums like MSE and what have you

and trying to see what I like

common suggestions are Friedberg, Axler, Artin, etc

[scenic shuttle]

jim hefferon, richard bronson gabriel b. costa, and steven roman

[ornate moat]

thanks I will look into it

[jade furnace]

Finally, this took over an hour to master.

[devout sun]

lol nostalgia

that shit annoyed me like 4 years ago

[rocky terrace]

@brittle falcon

[brittle falcon]

Hello

Damn it's the thing I skipped 💀

[storm jasper]

Dude I remember taking that like 4-5 years ago omg it brought back so much memories (and frustration)

[jade furnace]

I’m not even done yet. I still have to do the Mastery challenge on that and then master the phase shift word problems.

At the very least, I will never forget that cos(0) = 1 and sin(0) = 0 ever again.

[acoustic shale]

GUYS anyone who has done IGCSE Maths and AS and A2 levels maths , pls tell me how hard is AS and A2 levels compared to IGCSE

[proven anvil]

I have gone through skimming contents of like 20 books on linear programming with an online library thing, none are saying how to solve systems of bounded linear feasibility problems with inequalities, what should I do?

I don't need just any linear programming, I need this linear programming. X E.

linear programming=math. X E.

[surreal solar]

I only did a lil bit of IGCSE and moved to GCSE to complete those but the jump from that to a level is substantial, at first it shouldn't be too hard especially if you make sure you don't forget anything but with all a levels the 2nd year is where the heat is

I'm not too familiar with the IGCSE curriculum but iirc you learn just a little bit of differentiation as the last topic right?

[worthy salmon]

Igcse olevel , is js normal maths and its easy , i recommend edexcel board as its better and calculators are allowed there , but for Cambridge u take 1 paper without calculators , there are total 2 papers , AS is 3 papers pure 1 and 2 and (s1 or m1 ) u will pick , anyways its kinda close to olevel but js deeper , and contains more calculus than olevel , so basically AS is js same as normal igcse js few more stuff , especially pure 1 its simple u js get to know some more stuff, but for pure 2 and (s1 or m1 ) they are but deeper but with normal studying is good , taking with a tutor is highly recommended for AL , A2 aren’t easy , its technically hard , and requires much work and a higher mentality, so basically i recommend if ur taking an AL math , stick to As only unless ur soo good at maths then u can take the A2 too

[proven anvil]

Well, I did find a book with a possible solution but it is copyrighted and I can't make a derivative work. X E.

The thing to ask no longer exists. X E.

I also searched online, no solver other than sagemath and that monster, no. X E.

Should I just pioneer my own solution or what?

I really should just make a Gaussian elimination thing, then see what is left to do. X E.

[proven anvil]

Maximum of 6 unknown variables left. X E.

[scenic shuttle]

X E.

[rocky terrace]

it reminds me of X Æ A-12 (Elon Musk's son's name )

[edgy sierra]

X. E. X. E. X. E.

[vital chasm]

I just figured out a big issue, when i take things seriously, my mind performs worse, but when i dont take things seriously, i dont study enough, is there some sort of way i can study seriously without taking things seriously?

[tacit glen]

https://tenor.com/view/ohh-my-pccc-lag-gif-16039929481005011244

[acoustic shale]

how hard is further maths

and thank u all for answering

[acoustic shale]

not a little but yash not that much its only many graphs and stuff

[surreal solar]

much harder than normal a level maths

[hoary idol]

You are given this formula during your calculus course. No cheat sheets are allowed on any tests. Do you rote memorize the formula or take another approach to remember how to calculate the arc length of a curve?

[heavy rock]

you just do a lot of problems

[wispy zephyr]

arc length is $\int ds$, from pythagorean formula [ ds = \sqrt{dx^2 + dy^2} ]
can factor out $dx$ or $dy$ to get [ ds = \sqrt{1 + \ab(\odv yx)^2}\dd x = \sqrt{1 + \ab(\dv xy)^2}\dd y ]

[mossy shadow]

cloud ☁

[hoary idol]

is it a mistake to rote memorize formulas ?

[wispy zephyr]

i find that if you do enough practice problems you will remember the formulas you use a lot in them

[hoary idol]

okay thank you cloud

and riemann

how many hours of problem solving per day is practical

[storm tide]

It also helps to be sure you can reproduce a derivation of the formula instead of just the end result.
Even though at first sight that's more details to remember, the whole package is easier to remember than the result itself by rote, because the need for the details to fit together works as a guard against misremembering.

For this purpose, the derivation doesn't need to be a fully rigorous one -- handwaving is fine as long as the handwaving makes it make intuitive sense that the result is what it is.

[hoary idol]

thanks

is the art of problem solving series the current best way to gain a strong math foundation

[fallen flare]

man

sometimes i feel like im study in the wrong track

i might need sum advice on how to self study correctly

im feelin my method is pretty time-consumin and not effective

[edgy sierra]

the art of problem is good for content outside of pre-university

it's not the most efficient way

[brazen mist]

what's your method?

[fallen flare]

like ima just learn concept passively and do work

[brazen mist]

wdym by that?

[fallen flare]

for example im learnin about Bezout theorem, ill just take a quick look at its basic concept and go straight to do work

skipped the basic concept could say

[brazen mist]

work as in doing the exercises? i think it's not a bad idea to, for example, read the statement of a theorem (in an introductory course) and try to think about the proof yourself using only the concepts that you have learned previously, but it is indeed more time consuming and might require some new techniques you're not familiar with yet

[fallen flare]

hm yea could say that

sometimes when doin exercises or just "work"(because shorten :p). I got to situlation when i dont know what to do although i know what to do in general

soo

lets say what should i do

to get better

[edgy sierra]

look at the hints

[jade furnace]

All of my skills are at proficient or higher! Now I'll have to master the remaining skills, which is super hard, but I know I will be able to do it eventually.

[devout sun]

tfw 99

[devout sun]

i sorta skipped precalc after doing this

i didnt think it was that necessary

although i did the entire trig course too, and maybe a bit of the rational function one, i cant remember. was sorta impatient to get to calc, and i didnt suffer from it

[jade furnace]

When I was in school, my school did Algebra 2 -> Trigonometry -> Calculus, so I don't even know what Precalculus is exactly outside of Calculus prep.

[devout sun]

its sorta weird

a lot of it is not even necessary for calc

https://www.khanacademy.org/math/precalculus
composite functions yes, trig i did the whole trig course, complex numbers no (although maybe useful to learn), rational functions isnt exactly necessary but it might be worth learning to have a look at limiting behaviours and graphing, conic sections isnt needed at all, neither is vectors/matrices (can learn when doing linear algebra), prob/combi also not needed but you might want to learn it anyway, its sorta useful to know if you ever do competition stuff and i just think its interesting and easy enough to do
series you mightve done already, its pretty simple stuff, you see infinite series in calc 2 so maybe do it, but the same stuff is probably covered briefly there
lims and continuity are imo just calc topics, they should be in the calc 1 course

ofc if youre interested in the not necessary things its fine to do

i did some conic section but i got bored

so i think i never did hyperbola

[storm jasper]

Good job bro!

I did something really similar to this, you’ve taken it to the next level (I skipped to calc straight away and didn’t focus on mastery, I think what your doing is rly cool)

[storm jasper]

What are you planning on studying later

[heavy needle]

never did the best conic section

[devout sun]

the humble circle

[jade furnace]

After the Khan Academy stuff (which will take a couple years, at least for the math section), I'm thinking about doing Math Academy to learn some undergraduate math (like Linear Algebra) before focusing on either number theory or topology.

[storm jasper]

Are you in uni or

[jade furnace]

I graduated without a math major (Game Design).

Game Design does have some math in it, but it's mostly stuff like Boolean Algebra and some mandatory general ed classes.

I started this journey while I was in college, but I kept on doing it even after I graduated.

I'm much more of a writer than a programmer/mathematician.

[storm jasper]

Nice to see the progress bro

[jade furnace]

Thank you!

[storm jasper]

I think khan is a great way to do introductory level courses I. Mathematics

Then you can go to like mit OCW and read textbooks + do exercise problems

[keen phoenix]

true ass bio

[rocky terrace]

Hardy moment

[elder gyro]

In this encoder truth table
In the first row
Does the outputs 111 affects ?

I mean even if Enabled inputs = 1 (Active low)
It gives the outputs 111 (000 in active low) which it may represented to decimal 0 (for example)

[scenic shuttle]

i never understood encoders

[proven anvil]

Anyone know how to do Fourier Motzkin elimination or better for 6 variables?

[lost drum]

For me in math , the art of consision is good

Solving problems with most consise writing saves time

you can do If very well trained 1000 tasks in 2 hours .

make an equilibre of the variety of problems and repitions of tasks

[blazing merlin]

I don’t see why you’d ever want to do 1000 tasks in 2 hours (for the type of task where that aim is reasonable)

[lost drum]

me I did maybe 300 tasks in 1 hour

It was about the derivative course when I was in high school .

But I gived very consise answers like as I was

Only with myself It's only me who can understand my answers

So the conditions of validity of my answers were not standard .

[blazing merlin]

I don’t personally see the value in that (in the sense that like, you’re probably comfortable with the process within 100 tasks, let alone 300), but if you wanna

[lost drum]

Yes but

it's in orienting the creativity into the goal of concision

In commuticating you're answers in own self

standards of the answers were not like in the exam or to someone else

So economic efforts align with own abilities

Make us able to do a big quantity and variety of tasks with

less time .

In constructing problems and making selections

and repiting only the most important problems .

[lost drum]

What's you're own method in studying the prooves ?

[proven anvil]

I just found out Fourier Motzkin elimination is on GitHub, awesome. X E.

[swift tartan]

@rotund jolt How do you try to learn from khan academy?

[rotund jolt]

I watch like the video

And take notes

[swift tartan]

Okay, and do you understand the video or think you do?

[rotund jolt]

I understand

[swift tartan]

And then where do you mess up?

[rotund jolt]

When it's something i don't know...

I mean a abstract thing

Relate to it

Like problem

[swift tartan]

When doing the questions on that website, if you mess up enough times it gives you supplmental material to learn foundations. Have you tried that?

[rotund jolt]

Nop

[swift tartan]

So are you just getting it wrong and then immediately stopping?

[near timber]

never give up

[rotund jolt]

Nop

[rotund jolt]

I never give up in my life but still bad fr

[near timber]

[rotund jolt]

thinking about suicide at this point

[swift tartan]

After 2 wrong attempts, it generally tells you how to do the question and if you continue to make mistakes in the same lesson then it gives you a quick runthrough of a foundation you may be missing

[rotund jolt]

I don't use the website

I watch like videos on youtube

Of khan

[swift tartan]

I see, i would strongly suggest using the website

[rotund jolt]

Is It free?

[swift tartan]

Yep!

[lost drum]

What are you're math difficulties ?

[rotund jolt]

I will see it

[rotund jolt]

Yep

[lost drum]

What is the thing that you wanted to know ?

[rotund jolt]

Sequences

(linear fractional)

[lost drum]

So , the prerequise is to know what is a function and what is a variable .

[rotund jolt]

Yep

[lost drum]

A variable in math is an indeterminated number witch belong to a set of values , It's a space reserved to complet it with a number

we name it with a letter like x ,y ,z..

x belong to the set of real numbers

[rotund jolt]

Yep

We don't see y or z for now at class

[lost drum]

indeterminated it , it means that it's not precise on one value but it's for you to give it a value .

[lost drum]

x,y,z,t,a,b,c,d..

All letters , In fact the name of it

is not important .

[rotund jolt]

Yep

[lost drum]

you can name it : sebastient belong ]-infinity,+infinity[

and sebastien= 5 or sebatient = 9999 or sebatien =3..

what ever number it's a space reserved to

full it with you're number .

[rotund jolt]

Sebastien is a name u mean like x and y and ...?

[lost drum]

Yes

[rotund jolt]

ok

[lost drum]

It's like an empty cup witch didnt have water

and you can full it with some values depending on what is permitted .

[rotund jolt]

ok

But this is not sequences

[lost drum]

We are coming to that :So like x+1 = 2 it's like [give something here ]+1=2

[rotund jolt]

Ok

[lost drum]

so as x belong to R , the only value permetted here is 1

were changing quantities in a domain

[rotund jolt]

ok

[lost drum]

Then you need to know what's a function

because a sequence is a function

[rotund jolt]

yeah but in a more shit way

I mean harder

I am so dead

[lost drum]

A function is like a machine

A function is like a machine that:
takes a number as input
applies a precise rule
gives one single number as output
We often name this machine with a letter, for example f

[rotund jolt]

ok

[lost drum]

It has two hands set of numbers in one hand and set of numbers in the other hand

[rotund jolt]

ok

[lost drum]

and connections beetween the first set to the other

By giving each number of the first group to the function

it applies it's machine it gives an output into the second group

[rotund jolt]

ok

[lost drum]

like f: ]-infini;+infinity[ to ]-infini,+infini[, x to f(x)=2x