Oxford Calculus: Solving Simple PDEs

[@TomRocksMaths]

Watch more from the 'Oxford Calculus' course here: kzbin.info/aero/PLMCRxGutHqflZoTY8JCm1GRzCdGXvZ3_S

[@rijjomagno8328]

Ty I can already understood the math 55 because of your explanation is very nice you can deliver it in a good math fan up students here satisfied.

[@riteshyadav1333]

try math in jee advanced it will test you skill on a great level

[@ufm465]

Would you be able to cover Green's functions by any chance? Love your content

[@henrymarkson3758]

Slowly but surely, Tom is working his way through to the Navier Stokes equation.

[@pawankhanal8472]

Yes. He really obsessed with it.

[@TomRocksMaths]

you know it.

[@simpilot001]

@@pawankhanal8472who wouldn’t be?

[@nathanielj2902]

I'd also like to say that this is an exceptionally clear and approachable lecture on the topic. Very nice!

[@TomRocksMaths]

Thanks - glad you found it helpful :)

[@Isomnophilia]

Done this in university close to 20 years ago, this is explained so clearly that i am being glimpses of the past!

[@damienthorne861]

I'm a huge fan. I just found the channel by accident, I've taken ordinary differential equations and I'm studying relativity but I do feel like I grasp it quite enough so I love your tempo I love your pace and I'm going to subscribe! I'm sorry I meant to say I don't ever feel like I grasp it enough. Stupid voice translation. 😁

[@AruzhanOmirseit]

Thank you a lot for this amazing explanation! You simplified and broke the topic down to more manageable bite size pieces!!! Thank you

[@iTeerRex]

Differential calculus is one of my favorite, coz of how amazingly useful it is. By the way, Tom, if you dont play the electric guitar, you should start, coz you already look the part. lol

[@TomRocksMaths]

I've been trying to learn for a while, but unfortunately I seem to have little to no musical talent

[@soph.m.p4583]

I’m not sure if you’ve done it before, but I’d be interested to see you go through some step questions if you were interested. I love your videos.

[@TomRocksMaths]

On the list :)

[@soph.m.p4583]

@@TomRocksMaths Awesome! Thanks!

[@ppol4264]

Very clear explanation.

[@jackingham3069]

Really great content, my only question is how do you come up with the guess function with the u variable? Does this come from experience or are there standard procedures for applying a function as your "guess"? I also didn't follow the part where: u ~ e^mx => m^2 - 1 = 0 m = +- 1 Where did this part come from? Many thanks!

[@TomRocksMaths]

This is a standard technique used to solve second order linear differential equations.

[@peterwall9490]

Professor Tom, given eyesight of 20/20, how close to someone would two objects have to be, to distinguish them at 1” apart?

[@fahrenheit2101]

You see, snakes can curve. Curves represent a mathematical change in gradient, linking in to differential calculus, and therefore it is perfectly reasonable that you have just witnessed a snake ad prior to a Partial Differential Equation video. Nah I'm just as clueless as you are.

[@TomRocksMaths]

Farhan gets it.

[@joshwylie1772]

Thanks Tom great video

[@TomRocksMaths]

Glad you enjoyed it Josh!

[@NateCrownwell]

This was cool, Thanks Tom :)

[@TomRocksMaths]

Glad you enjoyed it Nate!

[@taresy6789pp]

try solving the Riemann hypothesis tom

[@sadmanislam5111]

Great Video. @Tom Rocks Maths would it be possible to do a collab with @Stand-up Maths?

[@TomRocksMaths]

We'll get round to it eventually...

[@slyslaya7543]

Where would we use this math i.r.l

[@karlheinrichmarx8455]

Great video! :-)

[@nhandao8836]

i can't believe this is free

[@TomRocksMaths]

And always will be :)

[@blackid4336]

Please explain about Sumudu Decomposition Method for solve PDEs sir🙏🏼, i can't found explained about sumudu method in KZbin 🥲

[@peterwall9490]

Professor, what is a practical application of these PDE’s? I am a total laymen, I understand what your trying to do, but don’t understand the maths at all

[@jackpoore7866]

Heat diffusion in a bar is modelled by the 1D heat equation which is a PDE. Also, reaction diffusion equations of most forms are also PDEs. Processing images (like denoising) can be done using continuous PDE based methods. There are so many applications of these- they’re actually everywhere. Hope this helps

[@abhijitmahata4149]

Hello,I am from India.Can you suggest any book for ordinary and partial differential to learn theory part.

[@TomRocksMaths]

I really like 'mathematical techniques' by Jordan & Smith

[@Mohit-oc2my]

Amazing sir

[@duncankoepke7499]

Would you consider talking about the heat equation?

[@TomRocksMaths]

It's on the list of topics, don't worry!

[@СанжарЕргалиев-з7в]

Great👍🏻👍🏻

[@aniketeuler6443]

Your hair look really look nice 😃

[@TomRocksMaths]

[@abby3090]

Thanks😇😇

[@TomRocksMaths]

You're very welcome :)

[@abby3090]

@@TomRocksMaths 😇😇

[@aashsyed1277]

THANKS SO MUCH!

[@TomRocksMaths]

happy to help :)

[@nathanielj2902]

Is Maple App have any advantages over Wolfram Alpha?

[@TomRocksMaths]

You can use it on your phone and take photos of equations etc. which I find very helpful!

[@HuyNguyen-wj1ho]

It would be really helpful if you fix the unaccessible practice work sheet at Maple😅. Btw your video is really 😃.

[@carlosneves8742]

did not know Billy Idol did maths. Nice video btw!

[@TomRocksMaths]

ha this is a new one, but I'll take it!

[@pazzy768]

when you scrub through to the end to see if he takes his shirt off

[@Mohit-oc2my]

Hiii

[@spazmoidectomorf6209]

What do you think of the pokemon diamond and pearl remakes?

[@TomRocksMaths]

I can’t wait!! They were one of my favourite generations for sure.

[@spazmoidectomorf6209]

@@TomRocksMaths i saw your podcast, and I noticed the tattoos. The 2000s were too awesome, the music, the Internet all of it. I remember playing the games as a kid, and the nostalgia comes in waves. Anyway! Awesome to see a pokemon enthusiast, mathematician !

[@enigma7791]

Heya Tom...How did the football go? That's an epic chalk stick.

[@Mohit-oc2my]

Nyc

[@Mohit-oc2my]

Hey

[@TomRocksMaths]

I'm not sure exactly which game this is referring too, but my team has wont he last 3 games I've played in :)

[@betzalelhughes4546]

This guy is an absolute freak😂😂😂😂

[@Naman...123]

Thanks 🙂🙌🙌✨:-)

[@TomRocksMaths]

You're welcome :)

[@emmanueladjei6389]

Things I love to see

[@xdgaming952]

Hey! Can you please solve an IGCSE or O level Math exam? I know it would be way too easy for you but just for us?

[@TomRocksMaths]

It's on the list so watch this space!

[@xdgaming952]

@@TomRocksMaths thank u!!

[@xdgaming952]

@@shrekwillalwaysfollowyou4592 well i was watching maths related and this appeared and idk i watched it at that time

[@tobiasschererdasilva1847]

nice

[@sergiolucas38]

awesome didactic :)

[@damienthorne861]

Well said! Didactic is not a word used enough

[@alexeyantoshin3433]

кажется у меня новый любимый канал )

[@The64v]

I see a trailer about snakes from FYFD.

[@u.v.s.5583]

The second equation is in fact the 1D wave equation in disguise (after a coordinate transformation).

[@TomRocksMaths]

Yes - good spot!

[@geektoys370]

His face : stupid His brain: ye

[@bluearrow3055]

Did I see “simple” in the title?

[@u.v.s.5583]

It is not easy to think about an easier equation. Perhaps (f_x)^2+1=0, f real valued, is easier for everybody knows it has no solutions at all.

[@TomRocksMaths]

As far as PDEs go, these are some of the simplest, but I agree the topic itself is anything but.

[@mathevengers1131]

Here's link to an amazing Math video: kzbin.info/www/bejne/j4fUe6Fqp9yDba8

[@JerryKirk-y9k]

Smith Paul Hernandez Eric Rodriguez Cynthia

[@sumansharmabiswas1902]

You look like Jordan Pickford;-)

[@TomRocksMaths]

ouch

[@JenniferWhite-l6r]

Jackson Timothy Rodriguez Lisa Davis Gary

[@trevorallen3212]

Man talk about tedious guessing and checking to see if you got the right equation.

[@Mohit-oc2my]

I am From India I am very poor

[@faisalsheikh7846]

Are you mad or what?

[@stephenwren9608]

Please don't use anything other thst the fact of WHY THE F**K . My 5 month old decided to have a better digital than this

[@theautisticgamer1860]

got lost 10 seconds in

[@TomRocksMaths]

I suggest watching the video on 'partial differentiation' first: kzbin.info/www/bejne/iIfalHV9r7aWipo

[@madmister]

you might be a good teacher but mmm no thank you, just coz what you look like

[@debilista]

He looks so western and silly end my suffering i just want to pass and have to look at this

[@debilista]

Skipped most, too little content extended into 15 minutes shame

[@tamjeedshahriar3270]

Hmm i see I understand it (Doesn’t understand anything)

[@TomRocksMaths]

I'd suggest watching the video on 'partial differentiation' first: kzbin.info/www/bejne/iIfalHV9r7aWipo

[@itssimplyivy]

Tom are you gay?

[@science-therealfun4765]

First

[@mathevengers1131]

Here's link to an amazing Math video: kzbin.info/www/bejne/m4TFkKGkh7SSqqM