The Heat Equation: Lecture 1 - Oxford Mathematics 1st Year Student Lecture

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):

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.

[johngutierrez]

I’m gonna tell my kids that I attended a lecture at Oxford University on YouTube

[APMahmud-oi]

I have seen from Bangladesh. English pronunciation is Awesome. I would like to thank oxford mathematics Department they uploaded the lecture.

[rajulyadav]

Glad to see such videos although I don't understand much

[anselmoribeiro]

Fun fact :I am here to practice my listening to learn english.

[magicaquarium]

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.

[sn]

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.

[papsaebus]

What textbook is this series based on?

[Muradsahar]

Good Lecture, but that wiggly board must be really hard for him

[scarysticks]

Is that the Feynman's technique to integrate?

[gourabsen]

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

[moshirhman]

Sir Subtitle was benefited from Bangla

[bastiaanstapelberg]

Zou toch eens een cursus 'onderwijskunde' volgen met je Oxford.

[alijawad]

تره ماله داعي هذا النظام القديم وهوه رجل كبير تره موجوده صبوره إلكترونيه واصلتكم لا تريدون اطبقون درب الئنتيكه

[tailungofu]

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.

[HDitzzDH]

Nitpicking I know, but it’s spelled ”Leibniz”.

[tasmiahmasih]

why do they still insist on making people sit thru lectures like this? Bring on AI for education!

[timspooner]

Just writing formulae with no explanation is not teaching

[Garfield]

take away his sheet of paper, and he cannot write one single word

[sammysouth]

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?

[tronghai]

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.