This is what a pure mathematics exam looks like at university

Ғылым және технология

Download the exam: personalpages.manchester.ac.u...
The course lecturer sent me the following link to online notes and exam feedback...
www.maths.manchester.ac.uk/~cw...
Topics covered in this pure mathematics exam are real and complex analysis including limits, intermediate value theorem, differentiability, smoothness, cauchy-riemann theorem, complex trig functions, line integrals and residue theorem.
This would be a 2nd/3rd year undergraduate math course.
Also please forgive the audio for some parts, a parade literally walked past my room whilst I was trying to film this.
Please subscribe ❤ kzread.info?s...
Twitter: / tobyhendy

Пікірлер: 2 200

  • @benjibluebird
    @benjibluebird5 жыл бұрын

    When your exam is 3 hours but only 5 questions, you know it's boutta be a rough time

  • @andream8671

    @andream8671

    4 жыл бұрын

    Benjamin Lemay ooof

  • @jackgardiner8751

    @jackgardiner8751

    4 жыл бұрын

    Benjamin Lemay that it the best time of your life

  • @helpmereach10ksubswithnovi41

    @helpmereach10ksubswithnovi41

    4 жыл бұрын

    Yeah

  • @waldorf2007

    @waldorf2007

    4 жыл бұрын

    Even worse when you realize there 8 questions.

  • @thestealthyassassintsa7403

    @thestealthyassassintsa7403

    4 жыл бұрын

    @@waldorf2007 I fear no man But that thing it scares me

  • @teruelryanpaul
    @teruelryanpaul4 жыл бұрын

    math : prove this. me : *on my knees, crying* Just believe me

  • @euomu

    @euomu

    4 жыл бұрын

    hAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHA

  • @nourchalhoub9347

    @nourchalhoub9347

    4 жыл бұрын

    This is my favorite KZread comment EVERRRRR 😂😂😂😂

  • @Jim-be8sj

    @Jim-be8sj

    3 жыл бұрын

    You need to learn the technique of proof by intimidation. "Believe me or I'll kill your dog and eat it!"

  • @brandonwilson7371

    @brandonwilson7371

    3 жыл бұрын

    I know right, where’s the trust?

  • @Idtelos

    @Idtelos

    3 жыл бұрын

    The reply from Maths professor "This isn't a class on religion, there is no believe here"....brutal.

  • @kingsega6258
    @kingsega62585 жыл бұрын

    Great review. I do not recommend this product.

  • @sebastianr3460

    @sebastianr3460

    3 жыл бұрын

    It's not water-resistant, so I recommend being careful when crying, as tears will damage.

  • @Sky-zf8em

    @Sky-zf8em

    3 жыл бұрын

    Same

  • @ziyuwang7894

    @ziyuwang7894

    3 жыл бұрын

    lmaoooo

  • @abhikshitdas

    @abhikshitdas

    3 жыл бұрын

    @@sebastianr3460 HAGAHAHAHAHAHAHAHAHHAHAHAHAHAH

  • @ryanjagpal9457

    @ryanjagpal9457

    3 жыл бұрын

    Just don’t go to university

  • @humphreyegwangu7086
    @humphreyegwangu70865 жыл бұрын

    Did you just unbox a maths exam??

  • @maxwellsequation4887

    @maxwellsequation4887

    4 жыл бұрын

    Much better than unboxing a stupid iphone

  • @Twst3628

    @Twst3628

    3 жыл бұрын

    @@maxwellsequation4887 😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂

  • @tanisha22331

    @tanisha22331

    3 жыл бұрын

    @@maxwellsequation4887 I'm sorry what

  • @Mamson608

    @Mamson608

    3 жыл бұрын

    @@maxwellsequation4887 truee

  • @gloam1105

    @gloam1105

    3 жыл бұрын

    You new here?

  • @leaschmitt2496
    @leaschmitt24965 жыл бұрын

    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

  • @sir.sleepsalot2711

    @sir.sleepsalot2711

    4 жыл бұрын

    Someone who asks me : yo whats 72 - 37. My brain : *brain.exe has stopped working

  • @bittersweet3410

    @bittersweet3410

    4 жыл бұрын

    Sir.SleepsAlot It’s 35

  • @OXY187

    @OXY187

    4 жыл бұрын

    @@bittersweet3410 so it took 4 days to find it

  • @themax2848

    @themax2848

    4 жыл бұрын

    OXY it was a hard one but we got through it

  • @berserker4539

    @berserker4539

    3 жыл бұрын

    @@OXY187 lol 😂😂

  • @spid3rcat314
    @spid3rcat3145 жыл бұрын

    me: _doesn't understand anything_ also me: *_continues watching_*

  • @nikalobjanidze5302

    @nikalobjanidze5302

    3 жыл бұрын

    Same here 🤣😅👋

  • @apatriot6421

    @apatriot6421

    3 жыл бұрын

    It's OK cats don't need to give exams 😂

  • @Gamerz-ff1yi

    @Gamerz-ff1yi

    3 жыл бұрын

    @@apatriot6421 😂 lol

  • @josephdahdouh2725

    @josephdahdouh2725

    3 жыл бұрын

    @@apatriot6421 I thought that was a picture of a nun with glasses

  • @love_pets1363

    @love_pets1363

    3 жыл бұрын

    Me: writing Me:

  • @viisovari4544
    @viisovari45445 жыл бұрын

    Meanwhile i’m pulling a door which says push. 🤯

  • @md-im8qp

    @md-im8qp

    4 жыл бұрын

    Humanity at its finest

  • @bluehabs

    @bluehabs

    4 жыл бұрын

    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.

  • @adhdfitgirl

    @adhdfitgirl

    4 жыл бұрын

    Is that bad? lol

  • @jayajadhav8221

    @jayajadhav8221

    3 жыл бұрын

    Lmao same:0

  • @banglaanimeproject9036

    @banglaanimeproject9036

    3 жыл бұрын

    @Alex Woodly 💩💩💩💩👌

  • @KRterrorKR123
    @KRterrorKR1235 жыл бұрын

    School work : 2+2 Homework: 2 x 2 Exam: "this video"

  • @judyanddy

    @judyanddy

    4 жыл бұрын

    ∅ Only for you then 😂

  • @RazorM97

    @RazorM97

    4 жыл бұрын

    Expectations: professional students Reality:

  • @shadowstrike7246

    @shadowstrike7246

    4 жыл бұрын

    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.

  • @Kirnale

    @Kirnale

    4 жыл бұрын

    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%.

  • @teimath9007

    @teimath9007

    4 жыл бұрын

    Exactly!!! These are the homeworks they asign you, ensuring you it will prepare you for this exam🤣🤣

  • @Beymaster7
    @Beymaster76 жыл бұрын

    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.

  • @johnnycat995

    @johnnycat995

    6 жыл бұрын

    Beymaster7 genius

  • @Beymaster7

    @Beymaster7

    6 жыл бұрын

    Johnny Cat I already know that but thank you for recognising it

  • @hypnogri5457

    @hypnogri5457

    6 жыл бұрын

    Beymaster7 Can’t tell if troll or selfish

  • @Ignacio.Romero

    @Ignacio.Romero

    6 жыл бұрын

    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

  • @omaramer3084

    @omaramer3084

    6 жыл бұрын

    Rick and morty 😂😂😂😂😂😂

  • @mattiapascal2275
    @mattiapascal22754 жыл бұрын

    physicist: application pure mathematitian: haven't heard that name in years

  • @a.s2639

    @a.s2639

    3 жыл бұрын

    It s wrong WE do a lot of applications for exemple the K~Aut(N) for semi direct product😂 homeomorphisisme forvever

  • @madagascar9407

    @madagascar9407

    3 жыл бұрын

    @Anirban Chakrabarti nah its some fancy objects from functional analysis / group theory. Has alot applications in cryptography

  • @abhabh6896

    @abhabh6896

    3 жыл бұрын

    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...

  • @akshatsaini3231

    @akshatsaini3231

    3 жыл бұрын

    @@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?!

  • @abhabh6896

    @abhabh6896

    3 жыл бұрын

    @@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).

  • @ceetee
    @ceetee4 жыл бұрын

    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."

  • @RCSnyman

    @RCSnyman

    3 жыл бұрын

    Dude that's her music. She is partying

  • @helldenizens8154

    @helldenizens8154

    3 жыл бұрын

    @@RCSnyman lmao

  • @jakobmartins5027
    @jakobmartins50275 жыл бұрын

    I fear no man. But that thing. *it scares me*

  • @raymondhassanzadeh7542

    @raymondhassanzadeh7542

    4 жыл бұрын

    wait, is that from game of thrones

  • @hariharicikina9972

    @hariharicikina9972

    4 жыл бұрын

    @@raymondhassanzadeh7542 It's from pyro tf2

  • @Andrewkin77

    @Andrewkin77

    4 жыл бұрын

    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

  • @powergaming3429

    @powergaming3429

    4 жыл бұрын

    @@hariharicikina9972 no it's heavy I'm pretty sure

  • @zandromex8985

    @zandromex8985

    4 жыл бұрын

    @@powergaming3429 It's the heavy talking about the pyro. So technically you are both right.

  • @DT_Worlds_Strongest_Goth
    @DT_Worlds_Strongest_Goth5 жыл бұрын

    "Prove" is the scariest word in math :( No thanks, Real analysis. I'll stick with my lowly Calc 3 for now

  • @rachelkim3652

    @rachelkim3652

    4 жыл бұрын

    Another one is “derive”

  • @divisix024

    @divisix024

    4 жыл бұрын

    *”Show” casually walks by*

  • @Vapor817

    @Vapor817

    4 жыл бұрын

    @@divisix024 _for these problems, "show" = prove_

  • @divisix024

    @divisix024

    4 жыл бұрын

    @@Vapor817 Yup

  • @gustavopaz5453

    @gustavopaz5453

    4 жыл бұрын

    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"

  • @liquidbraino
    @liquidbraino4 жыл бұрын

    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.

  • @maxeh9879

    @maxeh9879

    3 жыл бұрын

    Absolute class

  • @georgejones7605

    @georgejones7605

    3 жыл бұрын

    Brilliant. 😃

  • @moviofootgame8726

    @moviofootgame8726

    2 жыл бұрын

    😂good one

  • @symphony1966
    @symphony19665 жыл бұрын

    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

    @dielaughing73

    3 жыл бұрын

    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.

  • @karimrachid8738

    @karimrachid8738

    3 жыл бұрын

    @@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

  • @toxy3580
    @toxy35805 жыл бұрын

    Why am I watching this I can't even remember how to divide

  • @anupreetiboro1352

    @anupreetiboro1352

    3 жыл бұрын

    I can't even subtract 👁️💧👄💧👁️

  • @amcamnoglu3574
    @amcamnoglu35746 жыл бұрын

    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.

  • @phos9580
    @phos95806 жыл бұрын

    i almost understood 1 thing

  • @r105vv
    @r105vv5 жыл бұрын

    This is why i'd prefer meth over math

  • @judyanddy

    @judyanddy

    4 жыл бұрын

    OMG LMAOOOOOO DHWOJDJQPUDDVQVFKQHF

  • @roma32678

    @roma32678

    4 жыл бұрын

    bruh

  • @aashrithmadagiri6711

    @aashrithmadagiri6711

    4 жыл бұрын

    Contact my boy heisenburg. He has 99% purity

  • @afsahhyder4894

    @afsahhyder4894

    4 жыл бұрын

    @@aashrithmadagiri6711 99.1%🖤

  • @josuearreaga2214

    @josuearreaga2214

    3 жыл бұрын

    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

  • @jessehooper7235
    @jessehooper72355 жыл бұрын

    Bruh I don’t understand how these are even questions

  • @electrictrooper7386

    @electrictrooper7386

    3 жыл бұрын

    ikr you're asked to prove some theorems which are supposedly self-explanatory, especially the derivative one

  • @jayd2279

    @jayd2279

    3 жыл бұрын

    @@electrictrooper7386 Nothing "self-explanatory" is usable in maths unless proved formally down to axioms ;)

  • @madagascar9407

    @madagascar9407

    3 жыл бұрын

    Rn I'm wondering how I passed all those kind of questions and got my M. Sc.

  • @drollette08

    @drollette08

    3 жыл бұрын

    Agree

  • @eshkeitt8523
    @eshkeitt85235 жыл бұрын

    ‘Flips the booklet’ My brain: sorry bro I just died.

  • @abdulqadirmaricar4596

    @abdulqadirmaricar4596

    3 жыл бұрын

    😂😂😂

  • @28Decimo
    @28Decimo6 жыл бұрын

    “Limits” instant Vietnam level flashbacks to Calculus 2

  • @CarthagoMike
    @CarthagoMike5 жыл бұрын

    1:33 hey, you can use a calculator, perhaps I can still... 2:04 ...wel nevermind.

  • @arthurlegal17
    @arthurlegal174 жыл бұрын

    I'm watching this while I do my online calculus exam at university. Life's not so fun sometimes. EDIT: I got an A+!

  • @Ebun.

    @Ebun.

    3 жыл бұрын

    Nice man

  • @markopujic660

    @markopujic660

    3 жыл бұрын

    Damn, I'm gonna SUCK at college, even though I'm passing high school with an A+

  • @arikween9207

    @arikween9207

    3 жыл бұрын

    Congrats👏

  • @alex-tb7xv

    @alex-tb7xv

    3 жыл бұрын

    épico

  • @smart00ze10

    @smart00ze10

    3 жыл бұрын

    yay!! killed it!

  • @tibees
    @tibees6 жыл бұрын

    Follow the link in the description to look at the actual exam paper - that will be much easier to read. I'm sorry for some of the background audio but there was a parade/festival happening outside when I tried to film this. Note: For the limit question here you would recieve no points for using the simple definition often seen in high school, the epsilon-delta definition must be used. The course lecturer sent me the following link to online notes and exam feedback... www.maths.manchester.ac.uk/~cwalkden/complex-analysis/

  • @ludwigrausch1352

    @ludwigrausch1352

    6 жыл бұрын

    I am a first-year physics student and was wondering if you ever actually found intro mechanics and E&M interesting? Were you always interested in physics during university or did it wane and come back sometimes?

  • @tibees

    @tibees

    6 жыл бұрын

    My interest came and went in waves really, I was good at the intro stuff but didn't find it interesting

  • @peppybocan

    @peppybocan

    6 жыл бұрын

    I am applying for Pure Mathematics to London Unis as postgraduate. I am graduating this summer as a B.Sc. in Computer Security... and I am stuck in writing cover letters.... :D dang it!

  • @pradipta9345

    @pradipta9345

    6 жыл бұрын

    Tibees can i apply L Hospital rule to simplify the limit

  • @iiimusika

    @iiimusika

    6 жыл бұрын

    i like mathematics i hope you can be an excelent student in this subject mathematics has magic

  • @charlesbromberick4247
    @charlesbromberick42475 жыл бұрын

    My complex variables profesor named his pet dog "Cauchy" because he left a residue at every pole.

  • @ebeb9156

    @ebeb9156

    4 жыл бұрын

    Oh mister,you are sharp🤣

  • @scoringwolf

    @scoringwolf

    4 жыл бұрын

    the dog complete his field

  • @hybmnzz2658

    @hybmnzz2658

    4 жыл бұрын

    Bruh

  • @harshi3309

    @harshi3309

    4 жыл бұрын

    You mean every singular pole right?

  • @mustafaunal1834

    @mustafaunal1834

    3 жыл бұрын

    :) Sweety dogy.

  • @simonge3042
    @simonge30425 жыл бұрын

    OMG I studied maths at university of manchester and I did this exact paper as my exam lmao.

  • @Pllayer064

    @Pllayer064

    4 жыл бұрын

    Did you pass

  • @robexitogamboa1998

    @robexitogamboa1998

    4 жыл бұрын

    What scores?

  • @euomu

    @euomu

    4 жыл бұрын

    How are you still alive

  • @ten_cents

    @ten_cents

    4 жыл бұрын

    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.

  • @lil_weasel219

    @lil_weasel219

    4 жыл бұрын

    gods and aliens amongst men you are

  • @Dannyzors
    @Dannyzors4 жыл бұрын

    Me, a graduated engineer: "screams in PTSD"

  • @adhdfitgirl

    @adhdfitgirl

    4 жыл бұрын

    LOL SAME =))))))))))))))) almost had a heart attack! I teach high school kids and I forgot about the evil side of math hahaha

  • @sesshomaru5657

    @sesshomaru5657

    3 жыл бұрын

    @@adhdfitgirl i have a question, why didn't u become an engineer instead?🤔 just curious

  • @adhdfitgirl

    @adhdfitgirl

    3 жыл бұрын

    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

  • @sesshomaru5657

    @sesshomaru5657

    3 жыл бұрын

    @@adhdfitgirl oh okay, nice to know u found a career that u like

  • @adhdfitgirl

    @adhdfitgirl

    3 жыл бұрын

    Stella thanks lovely ❤️ what do you do? Or study?

  • @madik4255
    @madik42556 жыл бұрын

    heck.

  • @jonmerladet6465

    @jonmerladet6465

    6 жыл бұрын

    Don't worry, In these exam you can see numbers, in abstract algebra and group theory you see none

  • @ningamedrano

    @ningamedrano

    6 жыл бұрын

    Oh h*ck

  • @kjub100
    @kjub1006 жыл бұрын

    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 :) )

  • @pedrovalerio2565

    @pedrovalerio2565

    4 жыл бұрын

    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

    @yurilsaps

    4 жыл бұрын

    Olá do Brasil!! Vc fez qual faculdade de matemática?

  • @kjub100

    @kjub100

    4 жыл бұрын

    @@yurilsaps Estou quase terminando o curso na USP.

  • @yurilsaps

    @yurilsaps

    4 жыл бұрын

    @@kjub100 que irado!! Eu tô tentando estudar o livro de álgebra linear do elon Lages, mas tá bem difícil! Vc curtiu o curso?

  • @kjub100

    @kjub100

    4 жыл бұрын

    @@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

  • @Ron_DeForest
    @Ron_DeForest5 жыл бұрын

    I would love it if you took a or a few questions and solved them. One per video... show the processes involved.

  • @orfeorussell5659
    @orfeorussell56593 жыл бұрын

    The exam: prove it Me : 👁‍🗨💋👁‍🗨

  • @geoffdillon4637
    @geoffdillon46373 жыл бұрын

    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!!

  • @Maroniie
    @Maroniie6 жыл бұрын

    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)

  • @feynstein1004

    @feynstein1004

    6 жыл бұрын

    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. :)

  • @jaredronning3020

    @jaredronning3020

    6 жыл бұрын

    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.

  • @Maroniie

    @Maroniie

    6 жыл бұрын

    Really? I didn't know about her until now, thanks for sharing!

  • @bananewane1402
    @bananewane14025 жыл бұрын

    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”

  • @g-smith4466

    @g-smith4466

    3 жыл бұрын

    Same.The limits stuff look kinda cool

  • @shen.daniel
    @shen.daniel4 жыл бұрын

    When you wanna complain about something but it's too abstract to describe lol

  • @kritikkaushal6305
    @kritikkaushal63056 жыл бұрын

    im so glad i found your channel, love the content!

  • @NoActuallyGo-KCUF-Yourself
    @NoActuallyGo-KCUF-Yourself6 жыл бұрын

    This is what happens when I leave KZread on autoplay: I go from a video joking about boobs to an unboxing vid of a math test.

  • @arcisvar4863

    @arcisvar4863

    6 жыл бұрын

    mdiem LMAO

  • @drop82bear

    @drop82bear

    6 жыл бұрын

    LMAOOO

  • @IM_RAPIST

    @IM_RAPIST

    6 жыл бұрын

    hahahahaha

  • @Adam-ui3yn
    @Adam-ui3yn3 жыл бұрын

    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.

  • @LucBoeren

    @LucBoeren

    10 ай бұрын

    Great point

  • @boomerzilean

    @boomerzilean

    9 ай бұрын

    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.

  • @parikhrachit4061
    @parikhrachit40615 жыл бұрын

    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.

  • @mariecarie1

    @mariecarie1

    3 жыл бұрын

    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.

  • @tomatochemist

    @tomatochemist

    3 жыл бұрын

    @@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.

  • @SunlethSky
    @SunlethSky6 жыл бұрын

    I have made a horrible mistake applying for astronomy and math

  • @Outland9000

    @Outland9000

    6 жыл бұрын

    Or not...

  • @jeremywininger694

    @jeremywininger694

    6 жыл бұрын

    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

  • @zahra225

    @zahra225

    6 жыл бұрын

    hey ! i wanna take astronomy too! is it too difficult?

  • @axleroast2674

    @axleroast2674

    6 жыл бұрын

    Math will be done by computers more and more. You should go for computer science instead

  • @oneoveronethirtyseven9161
    @oneoveronethirtyseven91616 жыл бұрын

    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.

  • @PuzzleQodec

    @PuzzleQodec

    6 жыл бұрын

    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.

  • @Mathman420
    @Mathman4205 жыл бұрын

    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

  • @noah321
    @noah3215 жыл бұрын

    Me: Mom? Can we get a test? Mom: We already have a test at home. *Test at home:*

  • @rose-mg9wt

    @rose-mg9wt

    4 жыл бұрын

    Noah Rahal • 38 years ago the 38 years ago in ur name caught me so off guard at 4 am 🤣🤣🤣

  • @christinedapizzano4414
    @christinedapizzano44146 жыл бұрын

    One fun physics-related application of Cauchy's theorem in complex analysis is the evaluation of the complete Fresnel integrals.

  • @mrk131324
    @mrk1313246 жыл бұрын

    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.

  • @carlosavila4290
    @carlosavila42904 жыл бұрын

    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

  • @adhdfitgirl

    @adhdfitgirl

    4 жыл бұрын

    LOL you must have had a rough year=)))

  • @psychoticsickhypnotic
    @psychoticsickhypnotic5 жыл бұрын

    You know a test hard when it’s under 10 questions

  • @fernandadaisy25

    @fernandadaisy25

    3 жыл бұрын

    Absolutely!

  • @ttesc9253

    @ttesc9253

    3 жыл бұрын

    And when these questions dont have parts a, b, c

  • @user-pv6cn8iw9p
    @user-pv6cn8iw9p6 жыл бұрын

    I congratulate myself in discovering from this video that pure maths is ABSOLUTELY NOT for me at University.

  • @SPACEDOUT19
    @SPACEDOUT196 жыл бұрын

    I dont even have math why am i watching this lol

  • @emielschannel3327
    @emielschannel33275 жыл бұрын

    *Flips to first page of exam* Aaaaaand I’ve already lost...

  • @black_jack_meghav
    @black_jack_meghav5 жыл бұрын

    A 15 year old can pass this exam. What you require is love for the subject.

  • @user-yl6ll3qv7c
    @user-yl6ll3qv7c6 жыл бұрын

    Let Epsilon < 0

  • @terryendicott2939

    @terryendicott2939

    6 жыл бұрын

    Come on ! Now you are just being negative.

  • @kenankenobe6968

    @kenankenobe6968

    6 жыл бұрын

    Don't let it..

  • @jaredronning3020

    @jaredronning3020

    6 жыл бұрын

    I don't see why people find this funny.

  • @TheMasterfulcreator

    @TheMasterfulcreator

    6 жыл бұрын

    Because it's a 'yeah right' joke.

  • @SirCutRy

    @SirCutRy

    6 жыл бұрын

    Let |epsilon| < 0

  • @trap8305
    @trap83055 жыл бұрын

    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.

  • @killuazoldyck_
    @killuazoldyck_5 жыл бұрын

    Its math but it has more alphabet than real number lol

  • @nikabasharuli3269

    @nikabasharuli3269

    4 жыл бұрын

    Sometimes you don't even have real numbers

  • @soyoltoi

    @soyoltoi

    4 жыл бұрын

    Mathematicians will tell you that math is not about numbers.

  • @voliol8070

    @voliol8070

    3 жыл бұрын

    e is a real number :)

  • @JohnSalchichon2

    @JohnSalchichon2

    3 жыл бұрын

    Its never about numbers xD

  • @alexismiller2349

    @alexismiller2349

    3 жыл бұрын

    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

  • @bandar14201
    @bandar142015 жыл бұрын

    I'm a medical student who's watching this and thanking God for not studying math 🤣🤣

  • @kolibambangg

    @kolibambangg

    3 жыл бұрын

    But your field is hard too 😭

  • @7jamsinsfire356

    @7jamsinsfire356

    3 жыл бұрын

    Same 😂

  • @demonsrexis

    @demonsrexis

    3 жыл бұрын

    Been decided not to do medical since I know about medula oblongata or whatever they called that thing... 🙈

  • @josephdahdouh2725

    @josephdahdouh2725

    3 жыл бұрын

    @@demonsrexis LOL, you found the anatomy part difficult I guess

  • @hbm9144

    @hbm9144

    3 жыл бұрын

    @@demonsrexis 🤣🤣🤣 I used to remember that name as a foreign curse word. "You are such a _medulla oblongata_ "

  • @Dstndpro
    @Dstndpro6 жыл бұрын

    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

  • @reavenhaxor1506
    @reavenhaxor15065 жыл бұрын

    I love how you smile after every sentence you finish lol

  • @KubaSobecki
    @KubaSobecki4 жыл бұрын

    Respect for recording this so calmly while neighbours partying 😛

  • @khalidben9940
    @khalidben99403 жыл бұрын

    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

  • @erickmagalhaes5080
    @erickmagalhaes50803 жыл бұрын

    enginering major in a real analysis exam: what kind of pokemons are these "epsilon and delta"?

  • @karimrachid8738

    @karimrachid8738

    3 жыл бұрын

    Epsilon is used in the definition of limits in pure mathematics

  • @sam3oq980
    @sam3oq9805 жыл бұрын

    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.

  • @Desi-qw9fc
    @Desi-qw9fc5 жыл бұрын

    You’ve got a good voice for podcasts! Clear enunciation.

  • @chongli297
    @chongli2973 жыл бұрын

    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!

  • @ulzzangloverxD

    @ulzzangloverxD

    Жыл бұрын

    What are you studying to have such hard exams in calc 1 ? Don't tell me you are not a pure math student...

  • @chongli297

    @chongli297

    Жыл бұрын

    @@ulzzangloverxD 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.

  • @JohnSmith-cw1lf
    @JohnSmith-cw1lf6 жыл бұрын

    This video is giving me PTSD and depressing me

  • @anticorncob6

    @anticorncob6

    6 жыл бұрын

    Lol.

  • @nassorm5634

    @nassorm5634

    6 жыл бұрын

    John Smith Same.. and it's not even my exam 😅😅

  • @UteChewb
    @UteChewb6 жыл бұрын

    Seeing this reminds me how beautiful pure maths is. Yeah it can be hard, so is physics.

  • @mrkenzivedran
    @mrkenzivedran5 жыл бұрын

    You have such a soothing voice, and I love your channel! More power to y’a!

  • @marksimmons1182
    @marksimmons11823 жыл бұрын

    This is the good stuff man. The real analysis portion was definitively something I saw a lot of as an undergrad.

  • @Fightclub1995
    @Fightclub19956 жыл бұрын

    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

  • @HrabCOrp
    @HrabCOrp5 жыл бұрын

    If there are no integrals from function of many variables, like u(x,y,z) nor hard and crazy quadric surfaces - IT IS OK.

  • @vertigoz
    @vertigoz3 жыл бұрын

    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!

  • @mirabdulqayoomjamali9779
    @mirabdulqayoomjamali97793 жыл бұрын

    You are so good teacher because of clear voice and fully understanding method

  • @arbitrarilyarbitrary8440
    @arbitrarilyarbitrary84405 жыл бұрын

    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.

  • @flamethrower883
    @flamethrower8835 жыл бұрын

    Wow im in my freshman year and I actually know some of the stuff here. Pretty cool.

  • @fardadg
    @fardadg4 жыл бұрын

    You’re awesome Toby!

  • @xavieryates9782
    @xavieryates97823 жыл бұрын

    I appreciate your content very much. I too studied Mathematics. Additionally, you present content in a very nice way. Thank you!

  • @JoeyLeachLeg
    @JoeyLeachLeg6 жыл бұрын

    I sat this actual exam at UoM haha!

  • @tibees

    @tibees

    6 жыл бұрын

    Omg crazy! What are the chances! I hope I did it justice haha 😊

  • @wondrous9629

    @wondrous9629

    6 жыл бұрын

    What grade you got from this exam? :P

  • @JoeyLeachLeg

    @JoeyLeachLeg

    6 жыл бұрын

    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

  • @jaysaini955

    @jaysaini955

    6 жыл бұрын

    Uofm, let me guess Michigan right?

  • @justinm3493

    @justinm3493

    6 жыл бұрын

    Manchester

  • @champamampa6295
    @champamampa62956 жыл бұрын

    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...

  • @jwo7777777

    @jwo7777777

    6 жыл бұрын

    Control systems. Wherein mathematics directly affect the world.

  • @Dr.Midnight

    @Dr.Midnight

    6 жыл бұрын

    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.

  • @konstantinavasileiadou1626

    @konstantinavasileiadou1626

    6 жыл бұрын

    Schrondinger's equation :/

  • @Zaheraboukhashbeh1991

    @Zaheraboukhashbeh1991

    6 жыл бұрын

    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.

  • @drewkavi6327

    @drewkavi6327

    6 жыл бұрын

    Some may see that as a positive

  • @Diti026
    @Diti0265 жыл бұрын

    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.

  • @dhickey5919
    @dhickey59193 жыл бұрын

    Wow. Not at all what I was expecting. These are proving problems I've already solved in a numerical calculus courses. Ages ago, when we first learned of complex numbers it was fairly clear then we didn't get the entire story. Looking forward to getting the rest of (or simply more of) the complete picture.

  • @feynstein1004
    @feynstein10046 жыл бұрын

    I love this series. Please do more. Btw looks like pure math definitely isn't for me. I'll stick with physics. :)

  • @tibees

    @tibees

    6 жыл бұрын

    I will do some more in this series!

  • @feynstein1004

    @feynstein1004

    6 жыл бұрын

    Can't wait :)

  • @TrinoElrich

    @TrinoElrich

    6 жыл бұрын

    There's always applied math!

  • @alejorabirog1679

    @alejorabirog1679

    6 жыл бұрын

    Dude, it's really not that hard as it looks if you study.

  • @aledbarreto
    @aledbarreto4 жыл бұрын

    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

  • @maxwellsequation4887
    @maxwellsequation48874 жыл бұрын

    I'm sooo excited to learn all this

  • @yuri34544
    @yuri345443 жыл бұрын

    Your videos are beatiful. They give an idea about university exams.

  • @imikfunartsproductions7444
    @imikfunartsproductions74443 жыл бұрын

    Me: flipped a page My brain: sorry I have to leave you alone😢

  • @med3750
    @med37506 жыл бұрын

    I really miss that, i'm in engineering school now, and i miss maths :(, i can give you my competitive math exams that i had to get into engineering school if that can help you to get better ! :)

  • @leyawonder2306
    @leyawonder23065 жыл бұрын

    I was so scared of uni but this video made me feel a lot better, we've already taken all of the concepts in this test in school and our teacher gives a lot harder exams, thank you thank you thank you for sharing this it really changes my attitude

  • @anshubasak3494
    @anshubasak34943 жыл бұрын

    U r the best teacher ever seen in my life

  • @danbahadurgurung8593
    @danbahadurgurung85935 жыл бұрын

    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.

  • @MemoContrerasf
    @MemoContrerasf6 жыл бұрын

    Took 3 clases of real analys. This is like the examen from the first, maybe some topic for the second. Third course was hardcore, understood nothing.

  • @cagryagmur7849
    @cagryagmur78495 жыл бұрын

    you made mathematics super cute with your smooth and relaxing voice:)

  • @spdcrzy
    @spdcrzy2 жыл бұрын

    That thumbnail is HILARIOUS. Also, perfect encapsulation of Discrete Analysis for me.

  • @kingofmagix
    @kingofmagix6 жыл бұрын

    I am one of your early subscribers. I hope your channel gets really popular :) Thank you for everything. Watching your videos excites.me for studying Physics

  • @fredom4001
    @fredom40016 жыл бұрын

    I'm glad I found this channel, I'm currently hesitating between studying physics or going to med school next year but the only problem is that I can't even imagine what advanced physics are like and there aren't too many people who could tell me

  • @jeremywininger694

    @jeremywininger694

    6 жыл бұрын

    It's really hard

  • @johnathanwhite4878

    @johnathanwhite4878

    6 жыл бұрын

    Jeremy Wininger but it seems really fun

  • @danyalshahid9339
    @danyalshahid93395 жыл бұрын

    This sounds pretty familiar. I am an undergrad student at an IIT. We had real analysis in our first semester. That was really interesting. We have complex analysis in our third semester. Can't wait to explore it. It was a great video.

  • @larryhagemann5548
    @larryhagemann55483 жыл бұрын

    My head hurt many years ago when first exposed to this. That pain came back when I saw this video. I'm glad that others understand and love it

  • @Pete-Prolly
    @Pete-Prolly6 жыл бұрын

    Yes; communicating is hard! There are people on campus & online who understand, but including friends & family in such a discussion is tough, even on a superficial level. Concepts like "imaginary part" or "infinitesimal" are hard to express (and can make us sound nuts.)

  • @dalek1099

    @dalek1099

    6 жыл бұрын

    Just explain complex numbers in terms of rotations that makes the most sense because -1 is clearly a rotation of 1 by 180 degrees anticlockwise and then explain that you can have numbers that are rotations by different angles.

  • @zachrayjohnninan3018
    @zachrayjohnninan30185 жыл бұрын

    I was happy when I saw rolles theorem, the only thing I learnt in my high school

  • @maddavisdog07
    @maddavisdog075 жыл бұрын

    I better not have any bad dreams about my college days. So glad that chapter is finished in my life

  • @varence7007
    @varence70075 жыл бұрын

    There are times when I just chuckle and smile ear-to-ear after reading the first question in an exam at uni

Келесі