The Heat Equation: Lecture 1 - Oxford Mathematics 1st Year Student Lecture
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- Опубліковано 19 лют 2023
- The heat equation, also known as the diffusion equation, is central to many areas in applied mathematics. In this series of four lectures - this is the first - forming part of the first year undergraduate mathematics course, 'Fourier Series and PDEs', the heat equation is derived and the boundary value problem is solved using the method of separation of variables.
Students are then shown how they can use the theory of Fourier series, taught in the preceding lectures, to solve the initial value problem. The behaviour of the solutions is discussed mathematically and in the context of physical applications.
You can watch many other student lectures via our main Student Lectures playlist (also check out specific student lectures playlists):
• Oxford Mathematics Stu...
All first and second year lectures are followed by tutorials where students meet their tutor to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.
Fun fact :I am here to practice my listening to learn english.
Me too 😂
me too too
Keep ramping up your skill mate you will be there for sure also try to watch movies in English that helps a lot too
Fun fact.... Im here to pretend i know what the fck he's talking about 😂
Jaldi vha yha hato 😅😅🔈🔈(lol)
I’m gonna tell my kids that I attended a lecture at Oxford University on UA-cam
Thank you so much for this lecture
Very good lecture!
Love from India that a very good work
Is that the Feynman's technique to integrate?
What textbook is this series based on?
Thank you for the wonderful lecture!
Formulas without parameters will be harder to understand.
Otherwise, looks like playing with "letters" and not show real result.
I think this will be much easier to learn for students.
Glad to see such videos although I don't understand much
no matter，you could learn it again
This lecture is loving from Nepal 🇳🇵💖
Ayy,,, me too from Nepal, same name bruhh
Can't see previous weeks?
🔥🔥🙏🏼🙏🏼🙏🏼
Good Lecture, but that wiggly board must be really hard for him
Is there any major advantage to writing on paper (spread over the board, as done in this lecture) compared to writing on a black/green board with a chalk as done in MIT classrooms? I see a few disadvantages with using paper: (1) cumbersome to write with the paper flexing/moving when writing, (2) unable to correct mistakes without striking out the errors.
To me, using paper is like going back in time.
Agreed
Ironic you mention going back in time because this is a whiteboard not paper. The whiteboard is simply really long and can loop around. A blackboard with chalk is much harder to erase and make quick corrections than a marker on a whiteboard and cannot loop around. And for the writer, pens are much easier to hold and have no chalky residue and have little friction.
There's a reason why blackboards were replaced with whiteboards in the 90s. I haven't seen a blackboard in school/uni my entire life.
As Sonny pointed out, it's not paper, it's a whiteboard. When I watch MIT videos I'm always slightly baffled at the nostalgic blackboards and chalk. The sound is much better when writing, easier to erase, not dust etc with whiteboards. Whiteboards are probably better but both can do the job.
@@dffrnttd9474 @Sonny Koh : I agree with you both about the advantages of the whiteboard compared to the black/green board and chalk. But, mainly what I was talking about is the flexing of this paper-like material on which the professor was writing. Every time he puts his pen onto this paper-like material, it sinks a bit (for example: at 7:34), plus all the trouble that the professor had moving this board up/down (for example: at 8:33). I think the professor's not-so-good (though perfectly legible) writing has to do with the infirmity of the surface of this material. Having not watched the professor erase anything on the board (I did not make it until 9:18 the first-time around, where the professor does erase something), I thought this was was more like a slightly thicker paper (more like the paper we call kg-cardboard around my place).
@@sn5953 Ahhh I see what you mean, I agree. His whiteboard is very crappy, they're usually not like this and have a solid backing not the air gap this guy is dealing with, but I definitely see wwhat you mean now.
Done👍
Oxford being legendary as usual
Zou toch eens een cursus 'onderwijskunde' volgen met je Oxford.
Very very good lecture
When you look at your notes and write, there will not much interection btw teacher and student,,,pls memorize it and give lecture,,,small advise thanks
You’re giving a professor from Oxford advise 💀
👌 👏
Sir Subtitle was benefited from Bangla
Yay, Oxford ASMR!
666，i feel online course is not let me drowsy , but offline course may be do it
Eu não sei como vim parar aqui. 😅😂
Eu sou burro e não sei nada de matemática.
Tô a vários anos tentando entrar na universidade federal e não consigo.
❤❤❤❤❤❤😍😍😍😍❤️❤️❤️😊😊😊😊
I use this video to bring good sleep
We stady that in Iraq🇮🇶🇮🇶
ادري خاطر الله هاي صبوره برده
تره ماله داعي هذا النظام القديم وهوه رجل كبير تره موجوده صبوره إلكترونيه واصلتكم لا تريدون اطبقون درب الئنتيكه
Nitpicking I know, but it’s spelled ”Leibniz”.
At least we got it right in the captions! Take care.
Is he drawing with permanent marker on projector screens....
this is oxford
@@huseyin2093 lmao
@@ibreakkidslegs it is temporary. My teacher also writes on projector screen. It is easy to wash.
Just writing formulae with no explanation is not teaching
Agree. An uninspiring and mediocre lecturer, however accomplished a mathematician he might be otherwise. A good student would be much better served spending this time reading up the material at home.
Just watch any lecture by Gilbert Strang as contrast.
Just remember that this is not a physics lecture, but a first year mathematics lecture and the actual derivation and interpretation/meaning of that equation is not very important as opposed to the tools and techniques of solving it.
Is it physics or maths?
Physics is nothing but Maths
@@vinnu181 Except Newton's apple will never fall ,should you lay under an apple tree , into your open mouth.
@@vinnu181 😂
@@sage.rivendell math a language physics natural laws
He's teaching geography
🇦🇿
why do they still insist on making people sit thru lectures like this? Bring on AI for education!
I agree with you education never improvement last seen in 100 year's no update, only Internet youtube, apps are updating
1st year students learning the Heat Equation???
Is it too advanced or too basic?
Well this is Oxford
I understand that but there’s still a level of progression
take away his sheet of paper, and he cannot write one single word
Yes was just thinking that. Getting paid to copy notes from a peice of paper onto a board in a very messy way. Just hand out the notes ffs
He clearly can, he was explaining the concepts once he copied things down which means he clearly understands the content.
Say bud you have so many places to hang your hat, do you really need to cling to that bad comb over? Can’t you just base your identity and self-esteem on being so intelligent and so accomplished to be a professor of mathematics at one of the world’s greatest universities?
Skill issue
Your teachings if prime time physics us the laws if french physics founders if the late 29 century .but like for the principles of heat waves applied in only one datas materials do your physics does not applied to multi principles if variable concepts of multidimension kelvin laws .some like it cold some like it hot but in the end is just a broken rod or else.