#serious-discussion
1 messages · Page 476 of 1
isnt cambridge part 3 notorious for just being hella difficult
Their algebra courses seem interesting
or like
Idk i havent seen infinite group or coxeter group courses before
is cambridge just like
better at NT than anything else
uyes
i have no idea what Cambridge is good at
But i like their course selection for Part III
A masters math program at cambridge
Is there any reason why there's no solution for sin^-1(6/5)?
recall that sine means opposite/hypotenuse
its impossible for the opposite to be LONGER than the hypotenuse
since the hypotenuse is the longest side
so opposite/hypotenuse is at most 1
do you follow so far?
that's quittin' talk
now, sin⁻¹(6/5) means "the angle that, when we take a sine, gives us 6/5"
but we just said thats impossible
since sine is at most 1
and 6/5 > 1
more generally, sin⁻¹ is only defined on the interval [-1, 1]
if your input is less than -1 or greater than 1, it doesnt make sense.
i like how you asked if they follow and then continued anyway
it was more meant as a "checkpoint"
to make sure they focus on that last point
(namely, why is a/b ≤ 1 when a≤b)
(for positive a, b)
do any of you ever find webpages that just copy wikipedia for some reason?
i think one is called handwiki
i just found the personal homepage of some person (as in it shares random private info) that has a mathematics rubric that just copies (german) math wikipedia articles
what is the reason for this
hm not sure
I have seen other types of websites that do this though
for example information about a somewhat obscure topic can often be found in multiple google search results, but often some websites will directly copy content from better sources just so you click on the website
ye, thats how i found it
first result was wikipedia, second one was [firstname][lastname].de
and its just a copied wp article, nothing else on the site is about math
and there is no way to navigate to the copied article from the mainpage
super weird
Thanks!
Why does the roots forming an equilateral triangle imply that the sum of the three roots is 0?
I need a graphing calculator. Money no object, what is the best graphing calculator? I've heard Ti-Inspire or HP Prime, but I don't want a Ti-84 because the UI is crap. Please help.
the new TI-84 have nice UI, but indeed, the inspire is better
i cannot comment on the hp ones, i have never used them
the TIs served me well through my undergrad, and i used it maybe 3 or so times during my masters
as you go on, coding replaces the calc
Thank you very much
you can look up some reviews on youtube, i was surprised at how good the new ti 84 look
just make sure you get a model with CAS. i think all inspire have it, but not all 84s do
1984
Bruh these abstract algebra looks really expect me to brute force linear congruences with numbers above 30.
Wow. Smart people
I present the following object:
$0 \xrightarrow{id_0} 0 \xrightarrow{id_0} 0$
Very Active Because Very Lazy
I call it a very short exact sequence
$0$
mniip
i agree
It can be sort of reasonable for any modulus under a couple hundred on a scientific calculator that can store values in variables and formulas in history.
x is a soln for ax=b(mod m) when (ax-b)/m is an integer so you just alternate between that and x+1->x starting from 0->x
(-> meaning assignment)
Still tedious and sucks, but no real thought required at least.
Granted at some point you might as well just ditch the calculator and write a short script to do it or use a cas instead I guess.
I'm in a slightly awkward position with course selection. Of the math courses offered officially next semester, there's only one that I'm eligible to take, graph theory (offered once every 3 years, i.e. it won't be offered again until 18 months after I graduate). If I want to do the computer science minor, I need to do an advanced programming class, which is only offered once a year. I would go insane going a full semester without taking a math course, but I need a minor to graduate. What should I do?
I've tried emailing the professors and seeing if there's some way I could, like, alternate back-and-forth, showing up to every other lecture in each class and doing lots of self-studying. I also asked them if they would be willing to look into one of them changing the time their course is.
You're not missing much if you don't take graph theory imo. @vast surge
Just study it in your spare time if you really have to
hello math buddies, send help to help-4 👍
Okay fine but technically I’m starting a discussion. Nvm I’m gonna sleep. Good night my friends 😍
good night 😊
How’s the progress coming along on figuring out the potential new layout of the advanced channels?
im planning on getting that sorted this weekend
Awesome. Can’t wait to post in #Goldbach-Conjecture
do the help channels ever revert back automatically
like lets say you keep saying you didn't get an answer
does it just stay locked?
like if you just click on the x
it would auto close after a while
even if you click the ❌
I just didn't know if there was a limit to eventually free up the channel as like a "give up"
ok so consider
take the Riemann sphere but reflected about the plane so z=0 is the "top"
actually hold up
so I was going to talk about defining a norm based on the residue at z=0
as an eventual buildup to a Norm of the North pun
but then I realized I don't actually remember enough complex analysis 
plus that would be a weird norm to define since you'd need to take it on a quotient of the space of functions
so just
pretend I just said something funny

who's the bottom
$\infty$
mizratocutapie
it misheard and thought it was being asked to be a sup.
how to calcualte rates of change
please read #❓how-to-get-help
Yeah, I loaded up Python and wrote some code to check all solutions.
isn't that just that derivative of the function?
yes. read their question :3
oh you were answering a question lmao
yes :^) but a bad answer
Is there any semi common way to denote the element of an arbitrary singleton?
I’m sure this is just me misunderstanding something fundamental but if Y = {1}. Is there a way to write 1 in terms of Y?
1
:(
i mean you can say y ∈ Y
There is no standard notation that specificies the single element of a singleton
and then use y
Mostly because it doesn't seem useful to have
Just abuse notation and pretend Y is also 1.
Identify the set with its element, based
ryc
Even if it's ambiguous whether or not the function is bijective
But I think this is just common in analysis
People dont care there
LMFAO

Combinatorial Philosopher: Count all the ways you can have a justified true belief.
What is topological philosophy
Philosophizing about coffee cups and donuts
Wait are you telling me that donut equals ONE COFFIS CUP
Yes
How does one even proof that anyways
Like I can kinda visualize the homeomorphism but I don't know how to formally prove it exists
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my god
they were right

you will probably have to give a description of a coffee cup first
Question: I'm a new graduate student, and I've been joining more math groups in person and online and I'm considering what I may need to do for professional development in the future. What would you all say are important things for career development? I've heard people say LinkedIn, programming certifications, having your own website or blog or Youtube, and other stuff too but I'm not sure how helpful that or other advice may be.
A lot depends on the career. I'm gonna venture a guess that you're not committed either to academia or non-academia yet. That or you're principally gunning for academia but realize that the job market is tough and you wanna be ready to jump ship if needed
I'd say it's generally the second
I want to teach is the main thing of it
I know I want to do that, but I'm aware the market ain't the best at the moment
And I wouldn't say I'm hard set or committed against non-academia
What happens in academia if someone changes their name
Like what happens to previous papers they published
I'm not sure Gaslight
@lapis dune sorry I was out for some time. I know for academia, it's good to have a website, it's good to network a good bit so people know your name (e.g. going to conferences, esp once you have some research going so that when you meet people you can be like "Oh I do XYZ" and they might remember you)
Linkedin is less academia-specific and more generically good to have
For jumping ship to industry, coding and stats are the things to know
(On top of what you likely already know in math, e.g. calc/linear algebra/probability)
many people have published under different names as well
why should this be an issue?
the papers remain unchanged
Well I mean what if someone doesn't want a certain name associated with them
its hard to un-print a paper
i guess digital versions can be altered, not sure how the legality is around that when you submit a paper
i would be surprised if you can force publishers to alter the name, but they might anyways if you ask nicely
I never called you that
whoosh

Like okay let's say I called gaslight, which if I did I would've had a reason for
I didn't but let's say I did. I would be like oops nvm and just call you your name
Hello Gaslight.
Wouldn't hurt my reputation or smth. So I'm not sure why you're going out of your way to "accuse" me of doing something that would've been fine you do anyway
No u
Some of the names around here are difficult to track
What did "brotherford" ever mean
Remember when gamma was something that sounded like mirza today
mirzajuice
😵💫
bro version of rutherford 
Rutherford B Hayes?
brotherford's gold foil experiment
No
I think you're making things up

Is there a special name for a group of all the rotations and reflections of a geometric object? This excludes point groups such as the special orthogonal groups, since anything with SO(n) symmetry also has GO(n) symmetry.
coxeter groups?
Wallpaper groups, crystallographic groups maybe?
The general orthogonal groups are definitely not any of those.
I would posit that every group is the group of rotations and reflections of a geometric object.
If you embed its cayley graph into some space in the right way
This is false
What's your counterexample...
SO(2)


Surely we can find a way to quotient the reflections back onto the same geomeric object...
Like
Idk I dont want to think about this
This seems hard to fix
Wdym quotient
Idk just like
Put something there to make "reflections" not be symmetries
Who knows
Am I fit for grad school if I like taking one day without any math?
It seems like the competition has no rest days
Can confirm if you don't take a rest day for extended periods of time you will burn out
The amount of time I’ve thought this
But this quarter things are looking really good for grad apps, so I’m learning to let myself rest
And not feel guilty about it
This reads like I’m bragging haha, the point I meant to make is that I’ve felt the same but even feeling like “I wasted so much time I could’ve spent studying” things are looking good
reflection groups https://en.wikipedia.org/wiki/Reflection_group
@jovial ember wishing you luck this cycle
Are the columbia nerds that you wanna work with still going to be there?
@devout nacelle it's not book related so I'll tell my tale here
My senior year at UCLA, right before my spring quarter (over spring break) I got married
Ah, I see
My newly wed spouse was going to transfer to UC Irvine as a CS major, she had an honors 2 honors contract
Which was guaranteed admission if you maintained a high enough GPA and took the right coursework

Being an international student, the fees were ridiculous. So she had a scholarship for $45k/year for up to 3 years
It was just enough to cover tuition at a UC, and live at home with her older sister who owned the house (little to no rent)
Which was next to UC Irvine
Turns out, she didn't get into Irvine for CS
:(
She got into UCLA and Cal Poly SLO
Oh, that's neat. Did the scholarship carry over?
At UCLA the scholarship would count, but then we'd have to pay for housing ourselves
Aah
True
The thing is: I found out I couldn't graduate from UCLA as I was two units shy
So I'd need to find a job that was going to pay like $70k/year without a degree when I did pure math
Hello

i have a big question.
Ok so that's not happening
I take 3 weeks off from UCLA to go fight administration at UC Irvine
Couldn't you add just one more course to your plate for the credits?
Not at week 7 of the spring quarter
So yeah, great question
Because my UCLA counselor told me I was good
and my degree audit report looked fine
Ooooooof
Ok, so a perfect storm
Is that your super villain origin story @crystal stone ?
damn
So we can't afford UCLA. The first day my problem set for Tao is due, it's transfer orientation day at Cal Poly SLO

I get up at 4 am to drive my spouse there, it's a 5 hour drive
we get there at 9 am, and spend all day evaluating if this is a good fit for her
We decide it wasn't worth it later, but by the time it's over it's like 5 pm and I'm dead tired
but I gotta finish like one or two problems for terry
Pain
So I write it up, and I get shrekt
because there were subtle details I couldn't do in that state
Yeah that's understandable
(On going state of panic for weeks)
Alright, so then I go to Irvine after deciding SLO was a waste of time
And I just fight administration for 2 weeks
At UC Irvine and my community college
My old physics professor was faculty at both, and he set up a meeting with the head of marketing and outreach
This is after 2 weeks of fighting. This is the final week to make the decision to go to SLO
Go talk to this guy for 30 minutes, next day she's in at Irvine
You wanted UC Irvine to reconsider letting in your spouse?
Aaah
By fulfilling the community college contract, and somewhere a ball was dropped
By the time this is all over
It's week 7, and I turned in like 3 problem sets to Terry. One of them I accidentally sent the wrong file
And he just gave me a 0

Wasn't really focused on school at the time
Fair
So I was like fk this, and I took a W
Yeah, so I had to do something. I took 9 units over the summer
We did a courthouse wedding in spring, but I wanted a proper wedding for family & friends
At your community college? Or UCLA?
6 at UCLA, one at CC for computer programming
Nice
So, funny thing
I was at my transfer limit for community college courses
I had completed 145 units at CC, but UCLA could only accept 105 units at the maximum
So those 3 units for computer programming didn't allow me to graduate

My scholarship at UCLA ran out, and I couldn't afford it anymore

I enrolled at CSULB, and took 3 graduate courses
Sorry to hear that MoonBears
And transferred one back to UCLA
That seems very maddening
Then when I did that, they told me Oh we don't accept non-UCLA graduate courses for undergrad credit
And tried to deny me my BS again
Bruh
At this point I had spring admissions for CSULB MS program w/ funding
And I told them "That is a load of shit, I have you on email telling me that's ok"
So you could jump over without a BS?
Ah neat
Fast forward to graduating with my MS
Oh that one course you sent back to UCLA, we can't count the other two courses at CSULB for your graduation
||Im not sure if this server is pro-drug, but does anyone know a nice combination to reduce anxiousness/jitteryness. What would you give to someone who is hyperactive after drinking coffee? Or has headrush for other reasons.||
Bruh 
But I had CSULB on email telling me it was ok
Oooooof
It was an unfortunate year because that was the year they decided to audit all degrees earned in the past 5 years, including that year
Do these people not read their own bylaws or whatever
So there was no wiggle room here
My advisor deeply apologized, got me into a 3 unit math education independent study course
and got me a tuition waiver
A course which actually helped me land my current job
So it all worked out in the end
But like
stress
Bruh this is like an action book in the final arc, and the author is rushing to tie all loose ends.
But it ends happily. Thank god for that.
What's the lesson here: whenever administration tells you something, get it in email
👍
It doesn't exist if it's not in writing
There's actually more to the plot
than what I said, a lot more
But that's the summarized version
Here comes the epilogue...
I should definitely bear that in mind, bureaucracy surrounding education is plainly awful here
But yeah, glad it worked out to be alright for you
yUh
So thus finishes the tale of moonbears' journey to his BS and MS degree in math
😌
Learned alot about bureaucracy and people
But wait you ask: what do I do with those 6 graduate units
They are out in space, floating, waiting to be applied to my PhD degree
No, it's point set topology and analytic number theory
Aaah
The best I can do is clear a pre-req
damn you will not like germany 

I mean, you guys at least respond to emails right 
leading to 5 other things
tbf every prof i ever met hates bureaucracy more than the students
My profs/department plainly ghost me on all my emails, messages and calls
and they try to hack it as much as possible
which only makes things worse
no it works fine here
Yeah if the profs are sympathetic it should be nice
the worst that can happen is you get a grade for an exam later
Mfw Bonn responds to my email sooner than my professor does
oh that's sick
In the US it's like you gotta play this whole charade
is bureaucracy a thing in German Universities?
bureaucracy in germany is bad
bureacracy is a thin in any university
thing* bureaucracy*
university is not too terrible but there is lots of rules when it comes to exams
what kind of rules?
especially foreign students often fail
That can be a blessing and a curse
mostly having to sign up during certain dates
and if you dont, you are legally not allowed to write the exam
That sounds okay to me
it is
do you have midterms + finals
it sucks if you are foreign, dont get the memo and you cant write an exam
Unless the sign up period is horribly short
every term
and have to wait x months
or is it the end of the year?
nah, its fine
Oh oof
that's not entirely unreasonable
and like, there is no downside to signing up and not showing
back in the day profs would just hack you a grade anyway
I hear Germans are very time picky and punctual
but its getting harder and harder
germans also like suing
and uni needs to protect from students
it happens frequently in medicine, econ
Gets sued by prof for not submitting homework
Ah
Exactly like the US
what 
not much of a thing in math
I was on the verge of suing UCLA during my tale, if they didn't give me my degree
I mean, things like these are generally not up for scrutiny, right? I guess most university policies just stipulate right off the bat that grades are not subject to review and the final decision just lies with concerned profs/department?
In germany do you have to prove damages
Like not getting your degree cost you a job offer
i dont think not getting your degree can happen
well, unless you fail your thesis or an exam
and expected not to
interesting
I guess people don't try to pull shenanigans of transferring credit from other schools
once you have your credits your degree is automatically printed 
Like what I do all the time
bologna made it easy to transfer credits
Are credits capped/semester?
no

We had some german exchange students in my grad program
you need to get at least 1 i think
So in principle you can just graduate in a year?
They didn't like weekly homework and exams every few weeks
yes
there recently was a cade of a private school
someone finished in 3 instead of 6 semesters
and didnt want to pay the private school fees
Scholze moment
That sounds fair
Is that how scholze did it?
he was like a year faster than usual
4+2 semesters instead of 6+4
so 2 years faster total
im doing 5+5 lmao
average is probably closer to 7+5
if one does a phd in Germany or Switzerland, is proficiency in German a must?
^
take a gander
I mean, I think france's exception is because
The english had to win
English had to be the language everyone uses
So I think the french are just pouting
france is weird people
As I’ve already explained, no.
like i heard stories of people refusing to talk english
Oh yeah, I did 7 years of french classes + a study abroad
they expect you to learn french and will just refuse talking english with you (even though they could)
One time I just tried ordering my food in french, which wasn't fluent but still pretty good
and some french academics still publish in french i think
So French academia is foreign friendly?
For an american. Anyway she corrected every word I said
And I had no interest in correcting my french at the time. I was too tired
and just wanted my food
i think in general it depends a lot on the department
CS department here has as many romanian phd students as german
their german skills vary from very good to maybe a single word
I have some departments categorizing foundations under CS instead of math lmao
Most higher ed places in the US must be taught in English, so when people try asking questions in Chinese, Spanish, etc. faculty must respond in English unless they're teaching a foreign language course
maybe some tcs sub genre
ye i took mathematical logic in the CS department
like discrete math?
no, gödel's theorems
This runs into hilarious issues at like UCLA where chinese internationals will insist on speaking chinese to their TAs or profs
i have this diff geo class this semester
and the prof refuses to answer to german questions
because it has foreign students
and he does not want to translate questions
Is there an official language of instruction?
its english or german, instructor can choose
do they have to be consistent with that choice
once made
Or can they just switch
or well, we have an international math degree thing, so it must be english if students need it
they can switch
my lie theory class became german halfway
because international students dropped it
its just good manner to use a language everyone in the room understands
Yup. Danke
yeah, I understand good manners
But what if a prof doesn't have good manners
And lots of international students just fail because now everything's in German
they have no choice
in my case
because there is a international degree
and they have to teach that
I'd like to visit to just never move out again

"would anyone prefer to have this class in english?"
but most foreign students are indian or chinese
and you can tell from the name
so they will start in english
Rameshbabu Praggnanandhaa
The international students
You can get by with English even on that, right?
yeah but
Why not Google Translate it all like in the ads? /s
they will assume german at first i guess
Yeah, it would probably throw them off momentarily
at grocery store it doesnt really matter
you check display for the number
and give them enough
if they say anything else you just say "haha nein" and laugh a bit
Sounds like something to have down to a science.
or you learn "Mit Karte bitte" to pay with credit card
Is Germany a nice place to migrate to?
nein danke
I'll have to restart my Duolingo arc
one of my teachers was in china for a while and first week only food related word she knew was pork
so when she was hungry she went into a random bakery and just kept saying "pork"
Or preferably learn it from the embassy here when I finish undergrad, I think I would like a gap year in any case
until the guy realized she was hungry, wanted some food and sold her something
Lmfaoooooo
Did she recount this in the class? lol
yes
the thing with foreign languages i think is
if you learn german on duolingo or wtv for a year
you will probably make less progress than being in germany for a month
That's true
Are you trying to learn german Manan?
and most german unis should offer "german for foreigners" classes
Yes
Are there german clubs you could go to?
which are free if you are enrolled anyway
Like I used to do french club, and we'd practice speaking french 2-3 times a week for about 2 hours
(and you will likely meet other indians there)
Hmmm, maybe. I haven't looked much other than proper certification courses, and they seem a bit intensive on time.

i mean edd takes german classes right
Hmmm, that sounds like a good idea.
Oh he does?
not sure how much he knew when he moved here
hes working on some level
his german is pretty good i think
It only takes about 6 months to learn the 90% of the words you'll use everyday
But fluency takes years
Even VCs seem convenient to that end if people are lazy to gather offline
in german 90% of words used arent even in the dictionary 
Seems to be the case with almost every major language
Hindi on paper and the way it is spoken are dramatically different
I think English is pretty accurate
Unless I'm delusional
And just surrounded by foreigners that learned english very well
I'm pretty sure I can't parse most legal documents written in Hindi 
Somehow
i was refering more to the fact that in german you create new words ad hoc
Aah
and well, legal german is something else entirely but thats the case anywhere i think
That must need some practice to understand
Acts of God is a legally defined term
it must sound odd to foreigners
in the US
I think that's the case everywhere MoonBears
and german grammar is horrible (compared to english)
Indians in particular enjoy having each and every law encoded on paper, making the Indian Constitution intractable to be stored anywhere but digitally 
why don't you just simplify your grammar rules
because things like that either happen naturally or they dont
changing languages artificially is ... not easy
Hmm if a very large group of people change the pronunciation of a word in some language, it becomes official right?
I kinda hope that English simplifies to ebonics
it depends on your country
I be, you be, we be, they be
in france there is an institution that decides what is correct french
Les immortels
the equivalent in germany is purely descriptive, i.e. if enough people use a word or grammar construction it will be recorded as 'official'
The way it should be.
I think spelling reform in french is a good thing
It's just that I now spell everything incorrectly
No
English and French have terrible spelling systems
There's very little consistency
How was the French word for "bird" spelt again?
English isn't phonetically consistent for shit.
And in French, they probably don't even have a word for that.
german is mostly spelt as its pronounced
french grammar is easy for the most part
i wonder how french spelling even evolved
I also don't like the quotation marks in french
in germany people used to spell however they want
They just look ugly
(and those texts can still be parsed rather easily)
Kant still spelt words however he wanted
i had to read critique of pure reason in school 
Kant overall is very horrible to read, i do not wish this upon anyone
I actually enjoyed critique of pure reason and judgement
although I read them in the wrong order
I read an english translation of course
Right, something along oiseaux?
Would you come to the US for faculty position or postdoc Loch?
That's the plural form
Good 😌
postdoc sure
Ah
faculty position probably
Anyway the pronunciation is superwhack
i dont think i will stay in academia
if i start my phd as planned it will be rather applied and then i just transition into industry
Would you work as an engineer/applied mathematician
yeah probably
i will just apply to siemens lmao
i mean audi might fund my phd (at least partly), i can probably stay with them
My first year of PhD I want to take computational modelling courses so I can land an internship over the summers
but I'd rather do pure math
i want to copy my advisor
he worked in industry for 20 odd years, published a bit on the side and is now a professor
That's not a bad plan
I'm doing internships hopefully so that if I don't find a faculty position I want I can at least work on interesting things
I like heat flow and fluid flow type stuff
It's very competitive, and I'm an idiot
i should look into internships
i dont think i would be willing to move to a country thats not english/german speaking
very competitive market for academia in germany + i dont see it improving here or anywhere really
i think academia especially in math will be downscaled in the coming years
I can get a faculty position at my current university that I work for
But it's not research oriented
There's no grad program, and the undergrad program has lots of issues
I think of my job as a stepping stone
to what I want to do
the experience is good, the pay is definitely better than most people w/ my experience
I run a math-physics-computer science tutoring center at a small university in the american south
So I just manage a team of tutors, a budget, and help support the math department with events
sounds like an ok job tbh
It's pretty good, and I get paid $50k/year
Lots of free time too
I've been at work this whole time
but yeah thats also a thing
i grew up poor and at some point i might want to ... stop doing that
See, I was in the same boat
What I did was marry someone that wanted to be a software engineer
going through x postdocs for low money doesnt seem too enticing at the moment
Now I didn't plan or calculate that out, it just happened
but mostly i try to not plan too far ahead
just keep options open
start this phd next year and see what will happen
My spouse makes like 3x what I make
She's transitioning roles and her salary will be like 4x what I make. We'll be ok while I do my PhD
But we won't have the same financial freedom as we do now on two incomes
eh she was just a student and there was no guarantee that she'd get a good job offer
I married her because I love her with all my heart and soul
i mean im fine with not having a lot of money
It just happened to work out in such a way where we'll be very financially stable and I can pursue the career of my dreams, and she can pursue hers
but i have to periodically fear for my livelihood because of the terrible housing situation where i live
and it being very hard to find housing at all with my income situation
I think they're referring to this
i have no idea yet what a phd position will pay
hopefully enough so landlords dont ignore more completely
I'd wager that it's not.
im doing it for the dr in front of my name not for the money
If you can show me where it's a better financial decision than learning and being employed in a type of engineering
Please be my guest
I'd love to see it
I dunno, you can make a youtube video and get it big
As a musician
It's really not that more secure in trying to go to academia
not with the kind of music i make
That's... not a good metric now, is it?
The flip side is that most mathematicians can transition into an industrial role if they really wanted to
So there's some trade offs
Not necessarily engineering, but that's an option too
its most likely not
I think you don't know what you're talking about
That's a good one
"But but my categories"
"IT'S FUNCTIONAL"
if you have a phd in mathematics and you end up in a code monkey job, you are underselling yourself a lot
Most of them end up being like an Applied Research Scientist at a tech company where they work on statistical models
For computer training
I've heard actuaries make big bucks from several sources, any truth to that?
i'll just work for the german equivalent of the NSA
Lots of sources of truth, but large barrier to enter
Much faster to go into finance or tech or some form of engineering
Although engineering is a high chance to work on defense/weapons that kill people
So you might have moral qualms about that
Which can be just as destructive
Fun story: Our school put up a list of all of the jobs you could have if you took the combination of Physics, Math and Chemistry and all the options were engineers with a different prefix.
Well, it's not that far off the mark
i mean engineering is a good job
I interviewed to be a radio frequency engineer
They were going to hire me if I had lived near that area and didn't mention the fact that I'm probably not wanting to live in that area for longer than 5 years
It didn't seem that difficult to pick up
I'm not knocking on Engineering, it's just that every facet of Indian society presents Engineering as the first choice and the best thing since sliced bread so I'm very averse to it.
Am I interpreting the word Carpentry wrongly? If not, seems like an abnormal decision.
sarcasm..
one of my friends studied mechanical engineering, decided its not for him and became a butcher
huh I don't know what to say to that
The Unabomber, right?
It seems that the Unabomber did geometric function theory and complex analysis stuff back in the day 
Based
Alas, MKUltra got him.
I think I want to stay closer to teaching
Even if down the line I'm not cut out for academia
I'll even be okay with teaching in some kind of alternate schooling system
@devout nacelle Just become a highschool teacher! We have plenty of those with degrees in our school. /s
I think options are fairly broad modulo state of employability in general
complex analysts all have some mental issues
It's an okay option for me
I met a guy that got his BS in mechanical engineering, and MS is civil/transportation engineering with a focus on water ducts
unabomber, bloch, ...
He quit to start a church and became a pastor
i am sure there are more
Yeah, that's why I mentioned "alternate schooling system"
Usual school teaching seems yikes
thats what i will do
germany has "Fachhochschulen" which are like unis but more towards engineering and applied stuff
my advisor teaches at one
Polytechnics kinda?
polytechnicals?
yeah
Haha
so my advisor is head of some CS-math degree thing
they have some pure math classes too
They're fairly common here as well so I thought the same
and it seems easier to get into than actual academia
They're not so common in California. They have to CSU designated as polytechnics
and technically he is in academia as he has the right to accept phd students and works with other researchers
two*
But only one of them is any good
what is your perception of college mathematics
Are you talking about undergrad or grad
lmao

i mean i would teach highschool as well
Pretty accurate
If teaching high school paid six figures I'd do it in a heartbeat
and at highschool level everyone hates math
That's the depressing bit
uh oh
Plus I kinda don't like the usual HS environment
All that madness to do well on tests
i will have to talk with this one german mathematician who writes cool books
and if they like it
he was a professor i think
That's cool, if they don't like it then I don't think about them
worked in academia at least, decently successful
and then decided to work in a random highschool
I think I really want to be a part of, or even initiate, some kind of hybrid, open-to-all math learning program
That could freely use more interesting methods of instruction
40 limit MCQs, 1 hour. Several lines long answers.

wait till you hear my side
You know it sounds cool


And then what it turns out to be is a lot of fucking work & stress for little pay
Then there's the bureaucracy you will be shoe horned into doing against your will

Because "numbers will be better if you do that"
QPP problem that we had to turn into a LPP (of 10 variables) and solve along with another 2. time 1hr
A lot of ppl complain about some standard set of curricula to follow
I love having a curricula to follow
If I want to deviate from it I can
but if I want to follow it I can
Maybe that's nice to have if your end goal is preparing students for the current education system
I have more like, math circles along the lines of Soviet Union in mind
Where bunch of people assemble on weekends to learn and teach maths
Yeah, I've worked at companies that do that
Like Russian School of Math, John Hopkins Center for Talented Youth
Right, I think US has a few of them
I can tell you exactly what it's like working in such environments
Berkeley Math Circle too I think?
and what the limitations are
It's a longer conversation, it'd be done through voice chat
But this is the area I've worked in for like 8 years now
The only part of it I haven't set foot in is the competition math side
because I can't do competition math problem
problems*
The main problem is you're not replacing their curriculum with those types of things
You're shoe horned into making it relevant to the curriculum, and usually parents are paying money to be there
Same
That is true
So the next thing you have to do is start selling the programs for their kids
But I'm still more tempted to fit in the existing curriculum with more exotic stuff
And you don't actually get a lot of time with them to show them the "correct" way of doing stuff
i can't do comp math either and i have been grading comp math problems in the past 
Or like, at least make it slightly less algorithmic and make people use their heads
I came to know only yesterday that there's this program called "Inquiry Based Learning" for some math at undergrad level
This is complete ass
Lmfaooo
I've been through these systems and they just don't work
inquiry based learning just takes super long
I was reading An Inquiry Based Approach to Enumerative Combinatorics
The reason they don't work is unless it's a very controlled environment where an expert can guide it very carefully
It will be a waste of time
I mean, I'd expect an expert to teach and monitor it
even if the right people are running it, there's no guarantee that students will respond positively to it
This is certainly doomed otherwise
And that's the other thing, I learned measure and integration theory through inquiry based learning
I loved it, and other ppl w/ a background in education loved it
But 95% of the class fucking hated the prof
Hmmm, I guess a mix of usual lecturing+inverted classrooms+problem/discovery sessions could be much better than monotone lectures and quizzes
He went above and beyond to make his own problems, group quizzes, investigations
Ooof, why's that?
Can someone illuminate the term inquiry based learning?
Because why don't you just give a standard lecture
We'd cover more material
You don't teach anything
how are we supposed to teach ourselves
I can't learn this on my own

I'm not the prof but that fcking hurts
How can a class of supposedly advanced math majors say this
I think it can be good to spice up a standard course every now and then
just inverted classroom takes super long
It was a grad course
Bruh
Despair
I would love inquiry based learning in high school
my business teacher kinda does that
inverted classroom is cool but if everyone did it, students would be lost
Yeah fair, I just think it's good to throw it in once in a while and even make it optional/use it to cover stuff that won't be on exam
lmao
So like every "fresh and new" initiative that you can probably think of, I've seen it tried. I've seen them fail, and I've seen them succeed. I've even implemented a lot of it in my own classroom, and at best there's mixed results
I feel a lot of hardwiring is to be blamed here
There's just too many moving parts to get an accurate read on whether something like that will succeed
Before you do it with a specific set of students
Since most students are too hardwired into the same old monotone lecture-homework-quiz framework
Right
Yes, shitposting on Discord 
Stfu, you don't know what you're talking about
Lmaooo
That's my response to students anyway
studying on your own is also super hard 
It should be guided definitely
i am noticing it again
So my goal, if I make it in academia is to just run programs like this
my AG class only met once for now
Like not having anyone looking over your progress can make it simply not feasible
Manan, at the undergraduate and graduate level
Since a typical student would be taking multiple classes simultaneously as well
Do inquiry based stuff as a supplement to standard lectures, have formal study groups, and train/organize the whole thing
Ooooof
Yeah, I agree
from the freshman up until people pass their quals for math
This is still better than droning lectures
My current job is basically that
It's pretty neat, but nobody shows up to my lectures
Except for like 2-3 students per class
read Gathmann or Perrin
Those students are getting a fine education, but the others
🤷♂️
They're adults. They don't wanna come that's their choice
Also, is it common for faculty to "push down" others initiatives because it could entail a higher standard/more work for them?
I can at least see that happening here
That's what faculty do
Lmfaooo
"Oh should we switch from quarter to semester because students will have better mental health and improve their learning"


Cal Poly SLO had to be dragged kicking and screaming back into semester by the CSU system
Even though there's a lot of evidence showing undergrads do significantly better on semester
Quarters certainly seem more stressful, yeah
Because faculty don't like it
I think the UC system is going to fall next
I wouldn't be surprised if in 15 years all the UCs are on semester
Ppl thought it'd be crazy for the CSU system 10 years ago
Cal Poly Pomona made the switch
SLO is forced now
I see
You know UCLA law and med school are on semester
So is UC Irvine's medical school
Because "There's too much info to learn in a quarter"
Huh
Gee, ya think?

You know why they all switched from semester to quarter
Because educational fanatics found humanities students like taking more classes through quarter
They barely did any research on how it affects STEM students
turns out, it fucking obliterates them on average
3 weeks into a class and you have a test
Who the fuck thought of this shit
You can't take a day off cuz you fall behind

But if you don't take a day off you burn out and fall behind
Yeah this sounds very horrible
You also have a shorter winter break
And between winter quarter + spring quarter you only have 1 week off

Plus you graduate in fucking June, when all your semester peers graduate in May
So companies looking to hire, want to hire people who are done sooner
Also makes it harder to do internships
Schools have been on semester system for nearly 2,000 years
@velvet dagger https://www.youtube.com/watch?v=77F8fn-jL3w
Then some people in California decide "nah two thousand years of history is boomer logic, let's throw it away"
Fucking brilliant
Nobody can convince me that quarter system is better
Many a person have tried, and all have failed
Why are universities overlooking this
Because faculty have to rewrite their lectures
That's why UCLA has rejected the transition to semester 3 times in the 21st century
Also makes transferring from a community college hell
because semester units aren't quarter units
As someone in the semester system I often felt courses tend to become less dense (especially when starting) and offer lesser flexibility, but I think I'd rather have an easygoing program instead of a trainwreck quarter.
I think for advanced graduate courses, quarter system is ideal
Yeah, that makes sense
Because you get more topics/flexibility
but why would you structure a university based on <2% of its population

when the vast majority of students are taking undergrad programs
True




