I remember them teaching us "abitur" or "high school" level of stuff in university, then at the exam they went to next world difficulty and we had a fail rate of 70-80%.
i'm pushing a door even it says pull unless there's mat in direction i push to because study ergonomy in product design which state pushing take less energy than pulling.
As an experimental physicist....I felt PAIIIIIN!!! Prove that dot crosses the line....why dont we film it as it crosses the line?! See? *moved the pen along the function* I mean, really, what else am I supposed to do? I barely passed my math exams and I can say I am one of the better ones because most of them fail atl east one year. I mean, give me a problem, I will solve it, but this....nah...
@@abhabh6896 hi! i also want to become physicist can you give me advice i dont know how much years will it take and whether it gives a respectable livelihood🙏🏻plzz tell me?!
@@akshatsaini3231 well, to graduate you need 3 years, to master you need 2 and to get doctors at least 3 more and this is if you dont repeat anything and if you dont fail. You can work very well as masters, to get doctors, you can do so slowly while you work. There are many different topics you can pick for your profession (seriously, there is even a branch of physics called :physics of economy" which uses laws of physics in economy sector). You also need to choose weather you want to go as theorethical physicist (mathemathics is crucial here) or you want to go with experimental physics (you need to take care in choosing a branch of physics that has proper equipment like detectors, labaratories and such in your country, you should also learn a little bit of programming, especially with LabVIEW and python). At the end there is also a their option where you can go into education but thats usually not a first choice someone makes. So what you need to do is pick a topic you like, feel passionate about and if possible you can do it in your own country. There are many branches of physics, then there are even more sub branches. I know a guy who spent 30 years just looking at how light behaves with crystals. I myself took nanotechnology (how things behave when they are very small but not so small as for it to be quantum physics). So, you should search carefully and consider. You should also think ahead. Professors should be quite helpful in this undertaking so make sure to ask for advice from them since they should have better insight (especially with situation in your country).
This wasn't even mildly challenging , well at least for me anyway. When you have an intellect as great as mine, mathematical computations at this level are the equivalent of basic arithmetic for the lay person. My IQ has intimidated even my professors. For you see I am a Ricardo and Mortimer fan and therefore nothing can match my intellectual prowess.
That was also my most dreaded kind of problem as well. "Three people were travelling interstate in a bus for twelve hours, then the bus stopped, twelve people hopped in, and then the bus drove for five more hours before reaching the destination. Show that the bus's color is yellow"
Those questions are not really that hard. I can’t speak for the complex analysis stuff (because I’m yet to take this course), but questions in real analysis section weren’t too hard. They are a little abstract for my taste (I study applied mathematics and computer science), but it’s pure mathematics
I went to the library and asked for a book on Pavlov’s dog and Schrodinger’s cat. The librarian said it rang a bell but she didn’t know if it was there or not.
As a mathematics student in the 6th semester, this seems to me like a combination of all the knowledge I learned in my first three semesters in Analysis. Pretty interesting :)
@@dielaughing73 that's the best part of Western education, in Morocco to enter an engineering school you have to take and excel at the most stringent pure mathematics courses and theoretical physics courses in your first two years of higher education. This because not enough engineering jobs available. And when you get in afterwards it's all applied maths and physics that had nothing to do with your first two years. It's more of a filtering program than an education program
BE AWARE! This video contains hardcore mathematical content. You may be disturbed. If you fell dizzy or have blurred vision you should get the medical assistance immediately.
I almost enrold on engineering degree, however I decided to take a pure math degree instead and this was the most happy choice of my whole life. I do love pure math and I always did but people in Brazil(I'm from Brazil) always say that if you like math you should do a engeneering degree. Don't do it!! If you really love math and the true and unique beauty behind it you will love pure math, It's really interesting and although it's really difficult and too abstract sometimes, making the effort to understand it and when you understand it the reward is amazing!! Pure math is all about trully understanding things and exploring new worlds and the bouderies of your world. (sorry for any problems with grammar kkkkk :) )
Nossa, me identifiquei demais porém fiz o contrário. Sempre adorei matemática mas por pressão de familiares entrei na engenharia elétrica. Não durei um ano e agora vou fazer Enem de novo pra entrar em matemática.
@@yurilsaps Suponho que vc esteja falando do curso de matemática pura como um todo. Sim! Amo de mais o curso, acho que ele se encaixa muito comigo, não acho que qualquer pessoas deveria fazê-lo, mas é muito bom. Estou falando sobre cursos de mat pura, em geral, para alguém que curte e tal. Se quisesse uma opinião mais específica da USP eu acho o curso aqui muito bom mesmo, dos melhores do Brasil com certeza, mas tem diversos problemas como qualquer outro, longe de ser perfeito e longe de ser um mar de rosas. kkk Sobre o Livro do Elon, é um livro interessante não está na minha bibliografia favorita pra Algelin, mas éuma ótima em português. Não é um livro tão iniciante, talvez seja meio pesado sem estar na faculdade mesmo. Bem importante ir com calma, tentar entender os exemplos e exercícios. Uma estratégia muito importante para qualquer coisa muito geral e abstrata é colocar em exemplos simples. Sempre que ver um Teorema com dimensão "n" e afins tente ver em dimensão 1 ou 2 ou até 3, coisas que talvez vc consiga resumir a um ou alguns desenhos, algumas poucas ideias. Matemática deveria ser algo criativo, fluido e intuitivo na medida do possível kk, não uma coletânea de resultados abstratos que n fazem real sentido para vc. Meu orientador diz que vc entende um assunto quando consegue conversar sobre ele no bar com outro matemático, conversar com um não matemático nem sempre é possível. kkkk
If u collected your sweat in a bottle, I estimate it would be enough to irrigate 2 whole acres of farmland for a whole year. Just a rough estimate tho.
Stella because engineering or any other career is not something you become. It’s something you are. I wasn’t an engineer. I am a people person, I am passionate and I like helping people. So I wanted to find who I was instead of picking a safe career. Also I sucked at programming haha
I am having two simultaneous reactions: - “What the absolute fuckery is this demonscratch I’m looking at??” - And “hey that seems really cool I wanna give it a go”
Ahh, that brought me back to those feelings of terror as I turned over the paper during my undergrad maths days at Warwick. One of the highlights of my life was learning the proof to Sharkovskii’s Theorem by rote - and then it came up as a 25 mark question!!
Ah, undergrad math. Those were the times. The exams are not that hard, the practices you have to do every week are. Math undergrad is a boot camp that changes and enriches your thinking for the rest of your life. That’s why it is so worthwhile to pick it as your major.
these videos are kinda' motivating because I become less intimidated now that I know what to expect! thx for the video(and for your entire channel tbh)
Sorry but I just had to say that Mileva was also the name of Einstein's first wife and if the series Genius is to be believed then she was on par with him. :)
I agree with your comment about the difficulties of explaining to others. It's funny sometimes just how hard it is to explain this stuff to those who aren't familiar with it. While you're learning it you don't necessarily realize just how much abstraction is being done until you try to explain it. It's even more drastic on the abstract algebra side of things. At least with real analysis most people have an idea of what real numbers are in the first place, so your only challenge is to explain what types of things you are trying to learn about real numbers. But when trying to explain something about group theory, for instance, you have to spend a good amount of time first just explaining what the objects and structures that are being studied even are.
I tend to stick with the 'how can you be sure that the method you use to multiply numbers together yields the right answer' kind of explanation, and take it from there.
This type of material is obviously quite complex, but I think a huge part of what makes it difficult is not the material itself, but the speed in which it's taught. I think it would be more accessible to more people if school seriously slowed down the pace. I think just about any healthy human could learn to understand this, the biggest obstacle is learning it fast enough to pass.
I used to also think like this. Whenever I told someone that I'm a mathematician, and they would say that it must sooo complicated, but I would then always say "nono actually at least during the bachelor, anyone could do this if they took the time." And I believed this until I started teaching myself, only then it is that you realise that not anyone is made for this kind of thinking.
Yesterday I had my Galois Theory exam and trust me it was one of the toughest things that I have studied so far in Mathematics. I am not from Mathematics background but from engineering background. I had to go through a lot of abstract algebra and it was really a nightmare. So you said it correctly, most difficult part of pure mathematics is its abstractness.
This is why I’m fascinated by math, but fear to touch it. How is something that deals with such absolute truths as 1 = 1 be abstract? I always thought math was more of a logic puzzle, and solving math was more or less like winning an argument through using various sets of reasoning. I understand that letters in ma represent all kinds of concepts, and things like imaginary numbers exists, but I still thought math was, at its heart, straightforward and logical. So how can it be abstract? Could someone please explain this to me? I wish I understood it.
@@mariecarie1 Higher level math regularly involves no numbers at all. I am not a mathematician but a chemist with an interest in math. There are many phenomena in the natural world that are not easily and directly modeled. I think of abstract math as daydreaming with rules: is it possible to do X, how would I go about it with respecting the symmetry and rules of math, and if I do it, can I come up with a general equation that will always work, how will I prove it, and so on. Also complex numbers are a thing, as i does not really represent a number but the values on z plane relative to the x-y from my understanding.
Hello! If you don't mind me asking, did u end up finishing the degree? If so, was it hard? Or did u study something else instead? I'm just curious as it is my first year in University 🥹
after finishing intro to real analysis 1 and 2, i feel much better about how I did after seeing the real analysis portion of this exam. those questions were much more like homework level questions than test level questions. thanks for the confidence boost i guess haha
Taking Calculus 3 as well as discrete structures in computer science made this class extremely easy for me. I decided to switch majors from CS to math after I took my real analysis.
Oh my God... I watched this video a long time ago and I wanted to cry because I didn't understand a word about it. Now, I wanna cry because I know what she's talking about! But I wouldn't know how to do it anyways lmao
As an aerospace engineering student, I sincerely thank the pure maths students for proving the maths so we can apply it. And I saw complex theory in my first year when I was doing fluid mechanics
@@GarnetTillAlexandros I am a pure math student today but I wasn't back in first year. At my university you can't declare a pure math major until 3rd year (unless you overload on courses in years 1-2). The calc 1 I took is the same one taken by all math students from statistics to act-sci to pure math to applied math and even computer science students.
this isnt very hard paper. its just a paper to test ur familarity with the topics . this is how most of questions in university exams are like, unlike competitive ones.
I am an electronic engineer student and i dont know how to solve most of these problem. I maybe know first few tasks.Problem with math is that nobody ever ever explains why is this useful... I used to tell to other people "yea i am good at math" but in reality a LOT of students dont even know what they are solving,we just pass math and reality is that we dont use much of it....we do use some of it(integrals,limes,derivatives) but it is NOT nearly as hard as it was during the math course itself. This is hard to apply to real life problems beacuse equations itself would be "a mile long" then. This is the very reason why i decided NOT to go to math college, even tho i always had good grades at math.I just dont "see" the "big picture" of it and its aplication to some complex problems. I repeat we do use math but it is not nearly complex as it was during the math class itself. Perhaps I should,in my free time or when i am bored try to find its "higher purpouse". :) Nice video,sorry for bad english...
It's probably also the case that as an engineer your uni/college had you take specific math classes for engineers, where you would have been tested on your ability to use different formulas and apply techniques, since that will be valuable to engineers. You actually learn what's going on behind everything when you do a major in math, at least, in pure/honours math that is the idea.
thank you sir for stating the truth. I'm a mathematician, and back in my days we always had this fight between engineers and mathematicians, especially with those who transfer from engineering faculty into mathematics, thinking it is only 2+2=4 or like high school math. as a mathematician watching this, I so want to go back to uni and continue my masters in mathematics. I currently write projects to emphasis especially on mathematics and how the simplest concept if extremely important for a real life project to function well. my projects are usually math and physics, math and biology, math and art, math and anything else.
This is pretty much what we had to do at our first analysis course. At the time it was tough, but if I look at it now most of these questions are pretty easy. It's just a matter of getting used to the language of maths and then it's not so scary anymore. Also you've just gotta work hard and practice a lot of similar problems beforehand. If you did that then tests like these are very doable.
Yeah you definitely did, it was a 2nd year semester 1 course (I think my best second year result too). It was actually taught like two completely separate courses (one lecturer for real, one for complex; separate lectures, midterms, tutorials etc) and the paper was the only time real and complex were combined. I think I answered A1, A3, A4, B7 & B8 in the exam
I'm currently working on my masters in math and TAing analysis. It's amazing how much variance there is at this level for math students (even the ones who do well). Some will barely be able to write down a limit notation properly, while others come up with the most round about creative solutions. Others find a loophole what allows them 100% in one line. It's amazing. One student somehow managed a full induction proof in 3 lines for full marks. They all end up doing well though. Anyways, if you're considering going into math and this scares you, don't worry. Most of the results in analysis are actually really obvious basic facts phrased in unusual (but useful) ways. You'll rise to the occasion and it'll all work out and be better for it.
I study mathematics and I can say that I got the first part of the exam in my Analysis course in the beginning of the first year of uni and the second part in a Complex analysis course at the end of my second year
What the hell, I’m just learning about complex numbers and how to work with them and then you show me this? I’ve almost lost all hope for what the future may bring.
I'm studying pure maths at uni here in the UK and let me say, at first Real Analysis was confusing and hard to grasp but it soon became the favourite module for many, out of the other pure maths modules. But tbh, our lecturer was the only reason why Real Analysis managed to place as my favourite module. Can't wait for Real Analysis 2 during my second year. Though, I'm not sure if we ever learn Complex Analysis or if it's a module we can pick during our 2nd or 3rd but I guess I'll see.
It seems a little weird but I enjoy maths the most when it has lots of crazy symbols that look really complicated, so I guess I'll love complex analysis when I come to it
+Jesse Martinez what?! Number theory at undergrad level is extremely intuitive and streamlined. Number theory is arguably the least like what Adam was describing... If you like just dealing with complicated expressions you'd definitely be more suited to applied, as far from number theory as you can get.
DAMN I'm going through my second year undergraduate in Business Engineering and I DON'T KNOW WHY I started watching this video by thinking of some psychedelic really hard abstract maths that I won't even understand JUST TO RUN INTO THE EXACT SAME MATHS I HAD DURING MY LAST EXAM. Damn that hits hard
I'm happy that with my engineering degree I can understand and probably solve most of the real analisis part. The complex part I should too, but just looking at it it scares me. Cosh no way... I'd skip all that part
Well, it seems pretty simple. In my bachelors in Physics, our math courses had the same rigor. Although one of the the drawbacks is that you forget to solve mathematical problems that involve applying the theorems and such, like solving difficult differential equations or solving a horrible integral. But you feel some sort of satisfaction knowing that the maths you use in Physics can be understood to the point where you can manipulate them to your will, really amazing stuff.
I studied maths and computer science - some years ago (in the UK). Parts of section A look like the type of questions I can recall doing at the end of my 1st-year exams (usually full of 'point-give-away' questions asking you to state theorems). Some of the questions in part B on complex analysis (the ones you said were 'straightforward') - looks like those from a typical 2nd-year paper. My elder brother took maths at Bristol - and I remember him scaring me with his exam papers in his 1st year. To those frightened 'wannabe' math students out there - it may look complex :) now - but with perseverance and a lot of practice - you will overcome. I found my complex analysis courses very useful in my electronics courses I later went on to study.
Real analysis has become my favourite over the years. I got my degree in math 27 years ago or so... never used it professionally. I have made a point of advancing my knowledge in math. Every so often I find a paper and delve into it.
When your exam is 3 hours but only 5 questions, you know it's boutta be a rough time
Benjamin Lemay ooof
Benjamin Lemay that it the best time of your life
Yeah
Even worse when you realize there 8 questions.
@@waldorf2007 I fear no man
But that thing
it scares me
math : prove this.
me : *on my knees, crying* Just believe me
hAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHA
This is my favorite TH-cam comment EVERRRRR 😂😂😂😂
You need to learn the technique of proof by intimidation. "Believe me or I'll kill your dog and eat it!"
I know right, where’s the trust?
The reply from Maths professor "This isn't a class on religion, there is no believe here"....brutal.
Well, it doesn't even confuse my mind cuz my math skills are not even advanced enough to understand this. I live in blissful ignorance
Someone who asks me : yo whats 72 - 37.
My brain : *brain.exe has stopped working
Sir.SleepsAlot It’s 35
@@bittersweet3410 so it took 4 days to find it
OXY it was a hard one but we got through it
@@OXY187 lol 😂😂
me: _doesn't understand anything_
also me: *_continues watching_*
Same here 🤣😅👋
It's OK cats don't need to give exams 😂
@@apatriot6421 😂 lol
@@apatriot6421 I thought that was a picture of a nun with glasses
Me: writing Me:
Great review. I do not recommend this product.
It's not water-resistant, so I recommend being careful when crying, as tears will damage.
Same
lmaoooo
@@sebastianr3460 HAGAHAHAHAHAHAHAHAHHAHAHAHAHAH
Just don’t go to university
Did you just unbox a maths exam??
Much better than unboxing a stupid iphone
@@maxwellsequation4887 😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂
@@maxwellsequation4887 I'm sorry what
@@maxwellsequation4887 truee
You new here?
School work : 2+2
Homework: 2 x 2
Exam: "this video"
∅ Only for you then 😂
Expectations: professional students
Reality:
I remember when I thought the basics of complex numbers were complicated. Hopefully my brain doesnt melt before I finish my masters degree in physics.
I remember them teaching us "abitur" or "high school" level of stuff in university, then at the exam they went to next world difficulty and we had a fail rate of 70-80%.
Exactly!!! These are the homeworks they asign you, ensuring you it will prepare you for this exam🤣🤣
Meanwhile i’m pulling a door which says push. 🤯
Humanity at its finest
i'm pushing a door even it says pull unless there's mat in direction i push to because study ergonomy in product design which state pushing take less energy than pulling.
Is that bad? lol
Lmao same:0
@Alex Woodly 💩💩💩💩👌
physicist: application
pure mathematitian: haven't heard that name in years
It s wrong WE do a lot of applications for exemple the K~Aut(N) for semi direct product😂 homeomorphisisme forvever
@Anirban Chakrabarti nah its some fancy objects from functional analysis / group theory. Has alot applications in cryptography
As an experimental physicist....I felt PAIIIIIN!!!
Prove that dot crosses the line....why dont we film it
as it crosses the line?! See? *moved the pen along the function*
I mean, really, what else am I supposed to do?
I barely passed my math exams and I can say I am one of
the better ones because most of them fail atl east one year.
I mean, give me a problem, I will solve it, but this....nah...
@@abhabh6896 hi! i also want to become physicist can you give me advice i dont know how much years will it take and whether it gives a respectable livelihood🙏🏻plzz tell me?!
@@akshatsaini3231 well, to graduate you need 3 years, to master you need 2 and to get doctors at least 3 more and this is if you dont repeat anything and if you dont fail. You can work very well as masters, to get doctors, you can do so slowly while you work. There are many different topics you can pick for your profession (seriously, there is even a branch of physics called :physics of economy" which uses laws of physics in economy sector). You also need to choose weather you want to go as theorethical physicist (mathemathics is crucial here) or you want to go with experimental physics (you need to take care in choosing a branch of physics that has proper equipment like detectors, labaratories and such in your country, you should also learn a little bit of programming, especially with LabVIEW and python). At the end there is also a their option where you can go into education but thats usually not a first choice someone makes. So what you need to do is pick a topic you like, feel passionate about and if possible you can do it in your own country. There are many branches of physics, then there are even more sub branches. I know a guy who spent 30 years just looking at how light behaves with crystals. I myself took nanotechnology (how things behave when they are very small but not so small as for it to be quantum physics). So, you should search carefully and consider. You should also think ahead. Professors should be quite helpful in this undertaking so make sure to ask for advice from them since they should have better insight (especially with situation in your country).
I like how you can clearly hear party/house music in the background and this girl is like "Let's take a look at this math exam for fun."
Dude that's her music. She is partying
@@RCSnyman lmao
This wasn't even mildly challenging , well at least for me anyway. When you have an intellect as great as mine, mathematical computations at this level are the equivalent of basic arithmetic for the lay person. My IQ has intimidated even my professors. For you see I am a Ricardo and Mortimer fan and therefore nothing can match my intellectual prowess.
Beymaster7 genius
Johnny Cat I already know that but thank you for recognising it
Beymaster7
Can’t tell if troll or selfish
First I was going to dislike because of you arrogance, then I was going to like it because I thought it was a joke, but now I'm just confused
Rick and morty 😂😂😂😂😂😂
"Prove" is the scariest word in math :( No thanks, Real analysis. I'll stick with my lowly Calc 3 for now
Another one is “derive”
@Hapedise Divide19 _for these problems, "show" = prove_
That was also my most dreaded kind of problem as well. "Three people were travelling interstate in a bus for twelve hours, then the bus stopped, twelve people hopped in, and then the bus drove for five more hours before reaching the destination. Show that the bus's color is yellow"
True tho
@@gustavopaz5453
Proof:
The statement is neither true nor false: it is self-referential and exhibits the characteristics of
Russell’s paradox.
QED.
I fear no man.
But that thing.
*it scares me*
wait, is that from game of thrones
@@raymondhassanzadeh7542 It's from pyro tf2
Those questions are not really that hard. I can’t speak for the complex analysis stuff (because I’m yet to take this course), but questions in real analysis section weren’t too hard. They are a little abstract for my taste (I study applied mathematics and computer science), but it’s pure mathematics
@@hariharicikina9972 no it's heavy I'm pretty sure
@@powergaming3429 It's the heavy talking about the pyro. So technically you are both right.
I went to the library and asked for a book on Pavlov’s dog and Schrodinger’s cat.
The librarian said it rang a bell but she didn’t know if it was there or not.
Absolute class
Brilliant. 😃
😂good one
As a mathematics student in the 6th semester, this seems to me like a combination of all the knowledge I learned in my first three semesters in Analysis. Pretty interesting :)
Yes the easier parts of this exam are equivalent to the hardest maths we did in mechanical engineering. I'd fail if I sat it now though.
@@dielaughing73 that's the best part of Western education, in Morocco to enter an engineering school you have to take and excel at the most stringent pure mathematics courses and theoretical physics courses in your first two years of higher education. This because not enough engineering jobs available. And when you get in afterwards it's all applied maths and physics that had nothing to do with your first two years. It's more of a filtering program than an education program
‘Flips the booklet’
My brain: sorry bro I just died.
😂😂😂
BE AWARE!
This video contains hardcore mathematical content. You may be disturbed. If you fell dizzy or have blurred vision you should get the medical assistance immediately.
“Limits” instant Vietnam level flashbacks to Calculus 2
This is why i'd prefer meth over math
OMG LMAOOOOOO DHWOJDJQPUDDVQVFKQHF
bruh
Contact my boy heisenburg. He has 99% purity
@@aashrithmadagiri6711 99.1%🖤
My friend you are clearly mistaken. Let me show you the power of math and why math > meth.
let a = e
then it implies
math = meth
QED
Why am I watching this I can't even remember how to divide
I can't even subtract 👁️💧👄💧👁️
My complex variables profesor named his pet dog "Cauchy" because he left a residue at every pole.
Oh mister,you are sharp🤣
the dog complete his field
You mean every singular pole right?
:) Sweety dogy.
Eewwww
This is what happens when I leave TH-cam on autoplay: I go from a video joking about boobs to an unboxing vid of a math test.
mdiem LMAO
LMAOOO
hahahahaha
I almost enrold on engineering degree, however I decided to take a pure math degree instead and this was the most happy choice of my whole life. I do love pure math and I always did but people in Brazil(I'm from Brazil) always say that if you like math you should do a engeneering degree. Don't do it!! If you really love math and the true and unique beauty behind it you will love pure math, It's really interesting and although it's really difficult and too abstract sometimes, making the effort to understand it and when you understand it the reward is amazing!! Pure math is all about trully understanding things and exploring new worlds and the bouderies of your world. (sorry for any problems with grammar kkkkk :) )
Nossa, me identifiquei demais porém fiz o contrário. Sempre adorei matemática mas por pressão de familiares entrei na engenharia elétrica. Não durei um ano e agora vou fazer Enem de novo pra entrar em matemática.
Olá do Brasil!! Vc fez qual faculdade de matemática?
@@yurilsaps Estou quase terminando o curso na USP.
@@kjub100 que irado!! Eu tô tentando estudar o livro de álgebra linear do elon Lages, mas tá bem difícil! Vc curtiu o curso?
@@yurilsaps Suponho que vc esteja falando do curso de matemática pura como um todo.
Sim! Amo de mais o curso, acho que ele se encaixa muito comigo, não acho que qualquer pessoas deveria fazê-lo, mas é muito bom. Estou falando sobre cursos de mat pura, em geral, para alguém que curte e tal. Se quisesse uma opinião mais específica da USP eu acho o curso aqui muito bom mesmo, dos melhores do Brasil com certeza, mas tem diversos problemas como qualquer outro, longe de ser perfeito e longe de ser um mar de rosas. kkk
Sobre o Livro do Elon, é um livro interessante não está na minha bibliografia favorita pra Algelin, mas éuma ótima em português. Não é um livro tão iniciante, talvez seja meio pesado sem estar na faculdade mesmo. Bem importante ir com calma, tentar entender os exemplos e exercícios. Uma estratégia muito importante para qualquer coisa muito geral e abstrata é colocar em exemplos simples. Sempre que ver um Teorema com dimensão "n" e afins tente ver em dimensão 1 ou 2 ou até 3, coisas que talvez vc consiga resumir a um ou alguns desenhos, algumas poucas ideias. Matemática deveria ser algo criativo, fluido e intuitivo na medida do possível kk, não uma coletânea de resultados abstratos que n fazem real sentido para vc.
Meu orientador diz que vc entende um assunto quando consegue conversar sobre ele no bar com outro matemático, conversar com um não matemático nem sempre é possível. kkkk
1:33 hey, you can use a calculator, perhaps I can still...
2:04 ...wel nevermind.
OMG I studied maths at university of manchester and I did this exact paper as my exam lmao.
Did you pass
What scores?
How are you still alive
If u collected your sweat in a bottle, I estimate it would be enough to irrigate 2 whole acres of farmland for a whole year. Just a rough estimate tho.
gods and aliens amongst men you are
I'm watching this while I do my online calculus exam at university.
Life's not so fun sometimes.
EDIT: I got an A+!
Nice man
Damn, I'm gonna SUCK at college, even though I'm passing high school with an A+
Congrats👏
épico
yay!! killed it!
heck.
Don't worry, In these exam you can see numbers, in abstract algebra and group theory you see none
Oh h*ck
i almost understood 1 thing
Bruh I don’t understand how these are even questions
ikr you're asked to prove some theorems which are supposedly self-explanatory, especially the derivative one
@@electrictrooper7386 Nothing "self-explanatory" is usable in maths unless proved formally down to axioms ;)
Rn I'm wondering how I passed all those kind of questions and got my M. Sc.
Agree
Me, a graduated engineer: "screams in PTSD"
LOL SAME =))))))))))))))) almost had a heart attack! I teach high school kids and I forgot about the evil side of math hahaha
@@adhdfitgirl i have a question, why didn't u become an engineer instead?🤔 just curious
Stella because engineering or any other career is not something you become. It’s something you are. I wasn’t an engineer. I am a people person, I am passionate and I like helping people. So I wanted to find who I was instead of picking a safe career. Also I sucked at programming haha
@@adhdfitgirl oh okay, nice to know u found a career that u like
Stella thanks lovely ❤️ what do you do? Or study?
Me: Mom? Can we get a test?
Mom: We already have a test at home.
*Test at home:*
Noah Rahal • 38 years ago the 38 years ago in ur name caught me so off guard at 4 am 🤣🤣🤣
I am having two simultaneous reactions:
- “What the absolute fuckery is this demonscratch I’m looking at??”
- And “hey that seems really cool I wanna give it a go”
Same.The limits stuff look kinda cool
I dont even have math why am i watching this lol
When you wanna complain about something but it's too abstract to describe lol
Ahh, that brought me back to those feelings of terror as I turned over the paper during my undergrad maths days at Warwick. One of the highlights of my life was learning the proof to Sharkovskii’s Theorem by rote - and then it came up as a 25 mark question!!
I congratulate myself in discovering from this video that pure maths is ABSOLUTELY NOT for me at University.
Ah, undergrad math. Those were the times. The exams are not that hard, the practices you have to do every week are. Math undergrad is a boot camp that changes and enriches your thinking for the rest of your life. That’s why it is so worthwhile to pick it as your major.
these videos are kinda' motivating because I become less intimidated now that I know what to expect! thx for the video(and for your entire channel tbh)
Sorry but I just had to say that Mileva was also the name of Einstein's first wife and if the series Genius is to be believed then she was on par with him. :)
It'll also be gratifying to come back to this video after you've taken the courses and realize that it's not all that hard after all.
Really? I didn't know about her until now, thanks for sharing!
I would love it if you took a or a few questions and solved them. One per video... show the processes involved.
You know a test hard when it’s under 10 questions
Absolutely!
And when these questions dont have parts a, b, c
I agree with your comment about the difficulties of explaining to others. It's funny sometimes just how hard it is to explain this stuff to those who aren't familiar with it. While you're learning it you don't necessarily realize just how much abstraction is being done until you try to explain it. It's even more drastic on the abstract algebra side of things. At least with real analysis most people have an idea of what real numbers are in the first place, so your only challenge is to explain what types of things you are trying to learn about real numbers. But when trying to explain something about group theory, for instance, you have to spend a good amount of time first just explaining what the objects and structures that are being studied even are.
I tend to stick with the 'how can you be sure that the method you use to multiply numbers together yields the right answer' kind of explanation, and take it from there.
Its math but it has more alphabet than real number lol
Sometimes you don't even have real numbers
Mathematicians will tell you that math is not about numbers.
e is a real number :)
Its never about numbers xD
If you look at group theory, or even category theory, you are lucky if you even see a number, well except 0 and 1 maybe
This type of material is obviously quite complex, but I think a huge part of what makes it difficult is not the material itself, but the speed in which it's taught. I think it would be more accessible to more people if school seriously slowed down the pace. I think just about any healthy human could learn to understand this, the biggest obstacle is learning it fast enough to pass.
Great point
I used to also think like this. Whenever I told someone that I'm a mathematician, and they would say that it must sooo complicated, but I would then always say "nono actually at least during the bachelor, anyone could do this if they took the time." And I believed this until I started teaching myself, only then it is that you realise that not anyone is made for this kind of thinking.
The exam: prove it
Me : 👁🗨💋👁🗨
Yesterday I had my Galois Theory exam and trust me it was one of the toughest things that I have studied so far in Mathematics. I am not from Mathematics background but from engineering background. I had to go through a lot of abstract algebra and it was really a nightmare. So you said it correctly, most difficult part of pure mathematics is its abstractness.
This is why I’m fascinated by math, but fear to touch it. How is something that deals with such absolute truths as 1 = 1 be abstract? I always thought math was more of a logic puzzle, and solving math was more or less like winning an argument through using various sets of reasoning. I understand that letters in ma represent all kinds of concepts, and things like imaginary numbers exists, but I still thought math was, at its heart, straightforward and logical. So how can it be abstract? Could someone please explain this to me? I wish I understood it.
@@mariecarie1 Higher level math regularly involves no numbers at all. I am not a mathematician but a chemist with an interest in math. There are many phenomena in the natural world that are not easily and directly modeled. I think of abstract math as daydreaming with rules: is it possible to do X, how would I go about it with respecting the symmetry and rules of math, and if I do it, can I come up with a general equation that will always work, how will I prove it, and so on. Also complex numbers are a thing, as i does not really represent a number but the values on z plane relative to the x-y from my understanding.
I have made a horrible mistake applying for astronomy and math
Or not...
Just remember that you must fail to succeed. Every problem you get wrong is one step closer to getting it right. Stick with it if it is your passion
hey ! i wanna take astronomy too! is it too difficult?
Math will be done by computers more and more. You should go for computer science instead
Hello! If you don't mind me asking, did u end up finishing the degree? If so, was it hard? Or did u study something else instead? I'm just curious as it is my first year in University 🥹
*Flips to first page of exam*
Aaaaaand I’ve already lost...
Let Epsilon < 0
Come on ! Now you are just being negative.
Don't let it..
I don't see why people find this funny.
Because it's a 'yeah right' joke.
Let |epsilon| < 0
after finishing intro to real analysis 1 and 2, i feel much better about how I did after seeing the real analysis portion of this exam. those questions were much more like homework level questions than test level questions. thanks for the confidence boost i guess haha
enginering major in a real analysis exam: what kind of pokemons are these "epsilon and delta"?
Epsilon is used in the definition of limits in pure mathematics
Taking Calculus 3 as well as discrete structures in computer science made this class extremely easy for me.
I decided to switch majors from CS to math after I took my real analysis.
Oh my God... I watched this video a long time ago and I wanted to cry because I didn't understand a word about it. Now, I wanna cry because I know what she's talking about! But I wouldn't know how to do it anyways lmao
LOL you must have had a rough year=)))
A 15 year old can pass this exam. What you require is love for the subject.
I love mathematics and it is already 4 years after my graduation but still I remember a lot of stuff.Maths is just amazing subject
I'm a medical student who's watching this and thanking God for not studying math 🤣🤣
But your field is hard too 😭
Same 😂
Been decided not to do medical since I know about medula oblongata or whatever they called that thing... 🙈
@@demonsrexis LOL, you found the anatomy part difficult I guess
@@demonsrexis 🤣🤣🤣 I used to remember that name as a foreign curse word. "You are such a _medulla oblongata_ "
im so glad i found your channel, love the content!
As an aerospace engineering student, I sincerely thank the pure maths students for proving the maths so we can apply it. And I saw complex theory in my first year when I was doing fluid mechanics
This video is giving me PTSD and depressing me
Lol.
John Smith Same.. and it's not even my exam 😅😅
Those first few questions could've been straight out of my calc 1 final from first year. Surprising to me to see them in a 3rd year exam!
What are you studying to have such hard exams in calc 1 ? Don't tell me you are not a pure math student...
@@GarnetTillAlexandros I am a pure math student today but I wasn't back in first year. At my university you can't declare a pure math major until 3rd year (unless you overload on courses in years 1-2). The calc 1 I took is the same one taken by all math students from statistics to act-sci to pure math to applied math and even computer science students.
this isnt very hard paper. its just a paper to test ur familarity with the topics . this is how most of questions in university exams are like, unlike competitive ones.
One fun physics-related application of Cauchy's theorem in complex analysis is the evaluation of the complete Fresnel integrals.
I am an electronic engineer student and i dont know how to solve most of these problem. I maybe know first few tasks.Problem with math is that nobody ever ever explains why is this useful... I used to tell to other people "yea i am good at math" but in reality a LOT of students dont even know what they are solving,we just pass math and reality is that we dont use much of it....we do use some of it(integrals,limes,derivatives) but it is NOT nearly as hard as it was during the math course itself.
This is hard to apply to real life problems beacuse equations itself would be "a mile long" then. This is the very reason why i decided NOT to go to math college, even tho i always had good grades at math.I just dont "see" the "big picture" of it and its aplication to some complex problems. I repeat we do use math but it is not nearly complex as it was during the math class itself. Perhaps I should,in my free time or when i am bored try to find its "higher purpouse". :)
Nice video,sorry for bad english...
Control systems. Wherein mathematics directly affect the world.
It's probably also the case that as an engineer your uni/college had you take specific math classes for engineers, where you would have been tested on your ability to use different formulas and apply techniques, since that will be valuable to engineers. You actually learn what's going on behind everything when you do a major in math, at least, in pure/honours math that is the idea.
Schrondinger's equation :/
thank you sir for stating the truth. I'm a mathematician, and back in my days we always had this fight between engineers and mathematicians, especially with those who transfer from engineering faculty into mathematics, thinking it is only 2+2=4 or like high school math.
as a mathematician watching this, I so want to go back to uni and continue my masters in mathematics. I currently write projects to emphasis especially on mathematics and how the simplest concept if extremely important for a real life project to function well. my projects are usually math and physics, math and biology, math and art, math and anything else.
Some may see that as a positive
Seeing this reminds me how beautiful pure maths is. Yeah it can be hard, so is physics.
Respect for recording this so calmly while neighbours partying 😛
This is pretty much what we had to do at our first analysis course. At the time it was tough, but if I look at it now most of these questions are pretty easy. It's just a matter of getting used to the language of maths and then it's not so scary anymore. Also you've just gotta work hard and practice a lot of similar problems beforehand. If you did that then tests like these are very doable.
I sat this actual exam at UoM haha!
Omg crazy! What are the chances! I hope I did it justice haha 😊
What grade you got from this exam? :P
Yeah you definitely did, it was a 2nd year semester 1 course (I think my best second year result too). It was actually taught like two completely separate courses (one lecturer for real, one for complex; separate lectures, midterms, tutorials etc) and the paper was the only time real and complex were combined. I think I answered A1, A3, A4, B7 & B8 in the exam
Uofm, let me guess Michigan right?
Manchester
I love how you smile after every sentence you finish lol
I'm currently working on my masters in math and TAing analysis. It's amazing how much variance there is at this level for math students (even the ones who do well). Some will barely be able to write down a limit notation properly, while others come up with the most round about creative solutions. Others find a loophole what allows them 100% in one line. It's amazing. One student somehow managed a full induction proof in 3 lines for full marks. They all end up doing well though.
Anyways, if you're considering going into math and this scares you, don't worry. Most of the results in analysis are actually really obvious basic facts phrased in unusual (but useful) ways. You'll rise to the occasion and it'll all work out and be better for it.
Me: flipped a page
My brain: sorry I have to leave you alone😢
OMG IVE FOUND A TH-camR THAT LOVES MATH, IS THIS REAL, THIS IS WHAT IVE ALWAYS NEEDED
same 😊
Ever heard of 3b1b ?
Lmao someone is raving in the background.
I study mathematics and I can say that I got the first part of the exam in my Analysis course in the beginning of the first year of uni and the second part in a Complex analysis course at the end of my second year
That class is called math 20101. I'm in math 130 LOL.
Never seen anyone smiling so much and so genuinely, even when she's not the picture one can almost picture her smiling! So much good vibes!
You’ve got a good voice for podcasts! Clear enunciation.
I love this series. Please do more. Btw looks like pure math definitely isn't for me. I'll stick with physics. :)
I will do some more in this series!
Can't wait :)
There's always applied math!
Dude, it's really not that hard as it looks if you study.
Why am I watching this and I still count on my fingers?😂
What the hell, I’m just learning about complex numbers and how to work with them and then you show me this? I’ve almost lost all hope for what the future may bring.
I just envy so much… i was good at math at high school and I would love to be a mathematician but I feared that i could do it in a university level
Did you?
I'm studying pure maths at uni here in the UK and let me say, at first Real Analysis was confusing and hard to grasp but it soon became the favourite module for many, out of the other pure maths modules. But tbh, our lecturer was the only reason why Real Analysis managed to place as my favourite module. Can't wait for Real Analysis 2 during my second year. Though, I'm not sure if we ever learn Complex Analysis or if it's a module we can pick during our 2nd or 3rd but I guess I'll see.
Analysis was probably my least favorite math class in college lol. I'm much more of an abstract algebra girl
Pure mathematics is my love~
It seems a little weird but I enjoy maths the most when it has lots of crazy symbols that look really complicated, so I guess I'll love complex analysis when I come to it
I feel like number theory looks craziest for undergrad math
+Jesse Martinez what?! Number theory at undergrad level is extremely intuitive and streamlined. Number theory is arguably the least like what Adam was describing... If you like just dealing with complicated expressions you'd definitely be more suited to applied, as far from number theory as you can get.
you are going to LOVE algebraic topology man
I don't think so, if you look at formulas such as the Mobius inversion one, or identities with sums and products it can get pretty weird looking
You’re awesome Toby!
That moment when you start with the first question and you realise that just reading your book and staring at the exercises wasn't enough
DAMN I'm going through my second year undergraduate in Business Engineering and I DON'T KNOW WHY I started watching this video by thinking of some psychedelic really hard abstract maths that I won't even understand JUST TO RUN INTO THE EXACT SAME MATHS I HAD DURING MY LAST EXAM. Damn that hits hard
that's hilarious haha I hope it went well xo
Meanwhile I'm struggling to pass a Geometry test
are you in high school?
@Santiago Rodriguez Newton Poincare conjecture says hi.
As an actuarial major, i cry too when i see this
This is the good stuff man. The real analysis portion was definitively something I saw a lot of as an undergrad.
Your videos are beatiful. They give an idea about university exams.
As a computer science grad, I feel for what physics students had to go through at university. Discrete was the only thing that almost killed me.
I'm happy that with my engineering degree I can understand and probably solve most of the real analisis part. The complex part I should too, but just looking at it it scares me.
Cosh no way... I'd skip all that part
Wow im in my freshman year and I actually know some of the stuff here. Pretty cool.
I'm sooo excited to learn all this
I study math and I have never seen someone go over a math exam so calmly
The only thing I understood was that this was a maths paper from the University of Manchester
Well, it seems pretty simple. In my bachelors in Physics, our math courses had the same rigor. Although one of the the drawbacks is that you forget to solve mathematical problems that involve applying the theorems and such, like solving difficult differential equations or solving a horrible integral. But you feel some sort of satisfaction knowing that the maths you use in Physics can be understood to the point where you can manipulate them to your will, really amazing stuff.
I studied maths and computer science - some years ago (in the UK). Parts of section A look like the type of questions I can recall doing at the end of my 1st-year exams (usually full of 'point-give-away' questions asking you to state theorems). Some of the questions in part B on complex analysis (the ones you said were 'straightforward') - looks like those from a typical 2nd-year paper. My elder brother took maths at Bristol - and I remember him scaring me with his exam papers in his 1st year. To those frightened 'wannabe' math students out there - it may look complex :) now - but with perseverance and a lot of practice - you will overcome. I found my complex analysis courses very useful in my electronics courses I later went on to study.
Real analysis has become my favourite over the years. I got my degree in math 27 years ago or so... never used it professionally. I have made a point of advancing my knowledge in math. Every so often I find a paper and delve into it.
You are so good teacher because of clear voice and fully understanding method