What math looks like if you're an engineer...
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- Опубліковано 14 січ 2023
- Math be hard like that!
If you guys are actually curious about the heat equation here are some good sources:
"But what is a partial differential equation?" by 3Blue1Brown • But what is a partial ...
Libretexts:
math.libretexts.org/Bookshelv...
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When this happened to me, my professor started talking about the fourth dimension and how maybe he could fly out of the window and away to the sun. I never went to office hours again lmao
😂 WTH
Does he think he’s god or like-?
He just turns creative mode on
That’s funny 😂 I feel your pain
Maybe he exposed what engineers really do
*After 20 minutes working on 1 problem*
Teacher: Are there any questions??
Confused class: *silence*
Teacher: Fantastic!
Wishing good luck for anyone starting their engineering studies!
Class's fault lmao
Yep, this is what Statics is like.
@@Risviltsovdude honestly.
Yeah this is every math class relating to engineering
@@racool911 Sometimes nobody even understands enough to know wth they didn't get, you know?
The average human blink lasts 150ms, more than the time it takes for a math professor to fill up the entire board with the proofs of an equation and its formula in N dimensional spaces despite most problems being in 3 or 4.
It's called future-proofing.
N simplifies things. Why do 3 and 4? Do N and half as much work!
@@adamnevraumont4027 because nobody understands jack when it's in n dimensions.
@@Oreoezi what if you suddenly need five dimensions? time, x, y, z, and blorp?
why are engineers such morons?
@@stdcall I'm not complaining about dimensions so much believe it or not. THE PROOFS are worse. I don't care! I will take your word for it, professor. I'm not gonna sit there and go "I don't trust you" nor will the concept just click in my head at 10 AM with 5 hours of sleep because the day before I had 8 hours of physics. It's just a waste of time and I'm staring at it like art students at a Riemann sum.
I just took ordinary and partial differential equations last semester and the heat equation was suuupper accurate.
What heat equation is that? Is that for gas liquid or solid?
LOL I took a PDE class where we basically just studied the heat equation for 95% of it. Kind of crazy to see how valuing financial derivatives can be reduced to solving the heat equation though.
@@loganreidy7055 its the change and distribution of heat in a rod. So say you have a rod with some initial temperature, you can calculate how the temperature at any point of that rod changes in time.
wait what? thats awesome.
@@thomaswijgerse723 I have long forgotten the details, but from 30,000 feet it was based on a hedging strategy that would allow you to get rid of all of the probabilistic parts of the PDE representing the values of call or put options with a fixed expiry date, subject to a cap on the rate of change of the general market's volatility that usually held. It was called the Black-Scholes Equation, and Scholes won a Nobel in economics for it and got rich as hell. And of course about a year after I learned it Russia defaulted on their debts, the market went apeshit breaking that volatility assumption, and Scholes' billion dollar hedge fund (I think it was called Long Term Financial Capital or something like that) went under. So the socialist in me laughs like hell at that. But the mathematician in me still thought it was cool as hell to transform this ugly probabilistic PDE into a simple 1D heat equation.
As a Math tutor, I agree that math is both confusing and beautiful at the same time
So math≈ a woman ?
@@windywinend586 no, that would mean we're all simps
As an engineer I know that π = e = 3
@@windywinend586 No, we resort to math because it is hard to deal with women...
As a math student, I agree that math is just confusing
the question "why am i learning all this maths?" is something i've heard many people say
and i've also heard a beautiful answer to that
my physics teacher said, "if you are wondering why you are learning maths, you are precisely the type of person who doesn't need to"
and i loved that answer
he then went on to explain me at length why learning higher mathematics is not for everybody just like any other field of study for the simple reason that not everybody is a scientist or researching in some field
Yeah that is a good response. It would be much better if academia could at least link math better with the higher topics we are studying, and with the actual world.
Yeah, he was kind of insulting those people. He was saying if you really don't get why math is important to some fields of study, you don't have the kind of mind that can handle working in those fields, so you should study something else. He said it in the kindest way possible, but ultimately he was calling them limited.
@@jalenakeem5059 totally agree
stimulating the interest of students is the duty of the teacher
Sadly because they just want to create robots to do specific tasks , not engineers, especially in Romania. I'm decent at math, i can solve it , but I can't understand it in real world. I'm just thinking about that DE just because i was taught to, not because i understand it. Maybe that's why there are engineers and mathematicians. I would love to learn how to correlate math with real world problems, bug it might be to late since I've already passed uni math( there s a totally different system in Europe). I want to understand math as I understand basic concept.
@@waltuh771 things are same here in India
i too did not understand my semester 1 and 2 mathematics too well and this is the last semester i will study maths in my engineering course
but i have decided to study mathematics on my own
As a physics + engineering major, math has never been too hard but it's always been infuriating how detached math professors can be from reality. One time I got a question wrong because I rounded up and gave an integer value since the question was asking for a number of discrete physical objects. Prof said is was wrong because (quote) "ignore the physical situation, it's just math."
mechanical engineer I see....
I don't remember 99% of the things I was taught... but the Fourier Transform is literally.. the ONLY thing I will keep up with.
Do you use fourier transforms at your job?
@@smokeypillow Why? The oscilloscope and computer does it for me.
FFT - Fast Fourier Transform
DFT - Discrete Fourier Transform
for AI/ML purposes
STFT - Short Time Fourier Transform
Just remembering WHAT the Fourier Transform is very important
@@cpK054L so what does it transform lol
@@Cheesecake99YearsAgo time domain to frequency domain
Just laplace goes from cartesian to s plane
And z transforms goes from cartesian to z plane
@@Cheesecake99YearsAgo frequency domain. Sin, cos waves. Also, the Laplace formula bullshit. Crazy stuff.
The first scene with the teacher explaining is almost perfect, just that our professors don't really bother to write out even half of those steps
Facts
Many professors don't give two ****s about teaching, unfortunately.
I've found that many math teachers like to show that they understand "higher level" maths than you do.
Having gone through the curriculum twice with different teachers, it becomes very obvious how poorly communicated the same material is when someone is showing at you instead of teaching to you.
Electrical here. Can confirm that DE class can feel like a cookbook and sometimes the profs also dont share the excitement for the math itself, like "just follow the procedure and you'll be fine"
Then I took analysis class with a passionate prof. Boom. Sudden love for abstraction lol.
Any tips for a young adult trying to be an electrical engineer? I know it’s not all sunshine and rainbows but I’ve talked to a couple engineers who make their lives at their jobs sound miserable.
Buy a book on Programmable Logic Controller, get an Arduino or an FPGA and start making it do cool stuff.
DE is commonly a very poorly taught class, unfortunately. if you look on reddit, even when math majors come out of the class with an A, the class still doesn't seem to make a lot of sense.
not only is it a cook book, but several of the approaches taught in that class are historical, which often isn't really explained.
a better book for the class is strogatz's "chaos and nonlinear dynamics", which explores a lot of the same material in the context of scientific applications.
Cool
relatable. currently in my third year of EE and my entire college career has felt like me stumbling through all my classes while retaining just enough information to get a passing grade. hopefully it's worth it LOL
It's worth it. Just ask my paycheck
Graduated Systems engineer here; I just see things as blocks and functions now. --Everything now is step inputs and Laplace transformations of time dependent ODE functions in the frequency domain. Thank you for your time.
In the industry, you only use math if you want to, and you can do a lot of really cool things with it if you do.
When you wrote, “Not a truss” 😂😂😂 with the head nod
2:50, so accurate... they feed you just enough motivation to keep you from jumping
This video has been so accurate mate 🤣. I finished my degreed and now actually working, and its when I´ve time to learn every tiny thing a couldn´t do in the career with bad teachers...
Omg you're back!! Awesome vid tysm
Nothing I've seen has been more relatable. Very brutal math and it honestly seems like most professors will just treat you as stupid if you don't understand it even though you are studying engineering.
This is probably the first video that I give liked. I don't know if I'm smart enough to learn but got to give it a try. Very inspiring 👏
I study math and it's amazing how it's exactly the reverse when I try to learn mechanics.
back on the youtube grind I see
let's go!
The timing of me seeing this video is insane, we literally just went through this today in class.
Great channel. As an artist, I'm learning maths & physics as hobbies, as I need them for 3D art and animation, also for mechanical engineering (I love mechanism).
Ive been working as an ME dealing with design of hard use tools for several years now and rarely if ever are any integration or derivations ever used. Essentially, almost all the time when designing a component there are 1 or 2 major equations that are needed and they are algebraically solved. In short, all thats used is Von Mises stress equations and they get you the whole way there.
How in the world did he get this so accurate
the equations or the video?
Got the motivation. Thanks :)
Every your video is a masterpiece, the same as a differential equation chapter at calculus book
This is so good memorize as a graduated an engineer excellent 😢
This is so real lmao. It depends on your professor, my professor is speedrunning maths like bro 🤣😭
Currently taking differential equations. This is very relatable
Literally did that exact 'part (a)' question about a week ago haha
I hate that I had to learn this stuff. Because I basically have no idea why I learnt it and haven't had to use it ever since despite working with stuff that it should relate to.
0:44 that "Okay smile 😂", was more funneir than anything i saw today...!
This video is so accurate 💯😂
What math actually looks like if you're a mechanical engineer:
Situation 1: Machine design: "Hmm the simulation program spit out a peak stress value in the gigapascals for the structure. I could calculate something similar but simpler on paper OOOOOR I could just make this wall right here twice as thick in the model!"
Situation 2: "Haha, calculate the effect of speed on the pressing process? You're a funny guy! Now; come with me and let's measure the average on 50 test pieces instead of this nonsense."
no joke this exact situation happened in my physical chemistry class this Monday, even down to someone asking what that exact symbol at 0:55 is. you're freaky, man.
My linear algebra prof randomly interjected a lecture on matrices and vectors with an explanation of string theory and the 10 or 26 dimensions. Then he went back to explaining vector addition.
Triangle sitting on a corner is the differential operator nabla making (all) partial differentiations of a function with multiple independent variables e.g.: 3D-vector r (x, y, z).
Can you do Galerkin's Method next for both the finite element method and boundary element method? I'll also need to see a derivation of the sensitivity matrices for the generalized eigenvalue problem. Thanks
Im in my 3rd year of engineering and this is too relatable. Except for the part where the professor actually gives a damn and gives you a speech, mine will just say "i don't know" or "because i had to and so do you".
The silence usually comes from everyone having such a lack of understanding that we don't even know what to ask.
I wish this happened to me. When I was in HS Calc I asked my teacher what I needed to know imaginary numbers for, she said shut up and just do the problems. That was the last math class I actually took. Had my math teacher in the 90s gave me even the tiniest bit of a definition the way this man did, I may have pursued it with more interest.
This is VERY accurate 🥲🤣
Me after every lecture: "... yeah I think I'm just gonna learn everything from yt a week before the test comes up."
It actually is all quite straightforward.
I feel this way whenever my textbooks mention something that is "straightforward" and not worth elaborating upon.
i had an exam about this shit a week ago... this is exactly how i felt..
aw man. I was waiting for a joke about how easy engineering analysis on the job is for about 95% of problems. The only thing I use in engineering is statics and some basic thermodynamics.
@@WissamSeif What kind of job if I may ask? (Hoping to find a comment that doesn't give me the idea that everything I'm learning is basically for nothing)
@@OneShotKill3r youtube video creator
A good one is when you professor explains some error function for 3/4 of a lecture only to end with that you dont need to account for that because it will always be 0 anyway.
Love to solve this with the Laplace transform
Statics is kicking my ass this semester 💀
Looking back I'm glad I paid for private tutor it made learning things easier compared to office hours. Please fellow engineering students if you can hire a tutor don't burn yourself out trying to self teach or office hours (only if you have bad professor)
too bad that they cost way too much
My school offers tutoring for free and it’s from students who took the course and did really well in it.
I'm self learning all the way!
Such a priveledge...
slef learning in 1st year now, all exams are 95% up.
Truly when the music started and he started talking about planets I almost laughed
Can’t wait until I can understand this stuff like clockwork like my instructors do!
The legendary "trivial" proof
Did you need any of these things in your job or do you just calculate whatever you want using software ?
about to finish 11th, and MAN i can relate so bad🥲
I was thinking about going to school to become an engineer after seeing this I've changed my mind thank you so much.
Been trying to understand something of the silliness going on in physics by watching YT vids, 99% are exactly this. Did come across one dude Professor Matt Anderson, Guy is a teaching savant, simply brilliant.
2:35 answer my friend would've received:
We throw this really hard math at you first so we only get the people that *REALLY* want to be engineers
I'm absolutely on the professor's side here since I'm a theoretical guy. But I do agree that things like partial differential equations are not sufficiently explained at the engineering level of education. Could use a good source material myself.
This is so accurate lol First time I see one of this that doesn't go "haha engineers look uo tables haha"
Oh my God so accurate 😂😂
TBF, I think the truss confusion was warranted. After all, who uses the Laplacian for one dimension?
The funny thing is too that in my classes after they derive it they basically just put it on the formula sheet
I'm in my first year of engineering and I just (was suposed to) learn that.
"How many notes you can cram in a lecture" is so fuckin accurate.
I’m a high schooler wanting to become an engineer anyone have any advice??
And the all-important "Are there any questions?", and there are many questions but nobody wants to stall the lecture so everyone just sits there with blank expressions.
"I'm gonna draw integrals so perfect"
I've had this thought before lol
what interesting is math is more about the extent to which you can learn it, not about how much of it you will use
This hits way too close to home
I like that you can tell from the first second that its some goofy engineer math where they put nabla in a 1-D equation 💀
2:25 it’s like Yoda describing the force😂😂
2:25 My maths teacher of grade 11 says this every day to make us fall in love with maths
Thank god the pie didn't have a hole in it.
I actually got motivated
Watered down and basic? True
Glad I took a different career path. I thought I wanted to become an engineer
This is relatable
Just started school to become an engineer and this is exactly how it feels
I'm on the side of the math professor. Math is beautiful and describes our world. If you don't understand it, then just stop being an engineer, for everyone's sake.
I get this recommended just while I’m taking Heat and Mass transfer… and it’s too real lol fortunately I majored in Physics so I’m not too lost :P
Report,
too accurate for me.
it makes me laugh and sad at the same time, but doesn't change my math grade in media engineering
Too relatable
As an engineer who just took Calc 3 and is doing diffeq right now, this hit home in a way I don't like😅
diffeq is a lot easier than calculus 2.
I got an A, intoxicated. You'll be fine.
@@cpK054L i got the worst mark in my year for DEs so I think you’re just built different. Or I’m stupid
@@MrAdamo was it the eigenvectors?
@@cpK054L nah, there were a lot of questions where we had to convert to polar form and do some trig math, and if you forget some weird trig identities the questions become impossible. They’re technically on the data sheet but you wouldn’t understand if you didn’t do the questions. And tbh I didn’t study much that semester
@@MrAdamo believe me I've done my fair share of polar form notations...
it's needed when you are doing circuit analysis
it's even worse when you have to convert it back to complex notation, do the math, then convert it back to polar.
I love this 😂
I'm actually very familiar with the math. Solving 1d heat equation by separation of variables.
Calc 2 is annoying me right now cause I’ll be stuck on a problem and then I look at the professors notes and it’ll just say, “we’ve done this before”
"any questions?" *students having no idea what to ask....*
I gave up on math like 10 yrs ago. Maybe its time to see an old friend back
Happened to me during entire Optimal Controls.
1min in is when the camera phones start to come out😂
i just did 8 hours of calc 3 today and have absolutely no idea wtf just happened today. Find the derivative of a point in the direction of a vector like wtf. this video really hit home with me lmaoooo
Well, I think math is just the creator's retribution towards us for our questioning of his methods.🤣🤣
I feel most math can be learned for the problem at hand, especially with technology where it is. I'll let the mathematicians figure it out and I'll implement and abstract it away with code. It's not like I'm doing particle physics as an electronics engineer, I'm using helpful abstractions and software.
Physicist here, try doing it with complex exponential electric fields in spherical coordinates and integrating said function. Of course you'll need to take a Taylor series in order to integrate otherwise it's impossible
This explains diffraction from planar light waves btw
I have 3 years of work exoerience and I haven't figured out where's the math that I learned yet.
dont not go into engineering because of this video... no matter how true it is lmao