Heat equation: Separation of variables

How solve the heat equation via separation of variables.
Such ideas are seen in university mathematics, physics and engineering courses.

[mitoand]

You sir, know how to teach. Excellent choice uploading these on YouTube, thanks!

[KLCII]

Almost 10 years later and your explanations are still amongst the best, thank you sir!

[schonnyrules]

If this man were my professor I would give him a standing ovation after every lecture. 

[GeorgiesEmpire]

Amazing, you boiled down two weeks worth of lecture in my DE class into one video, AND made it interesting and incredibly easy to follow. Studying just got a whole lot easier!

[anchitrao]

Truly amazing, was not able to find any other video that explained the concepts so thoroughly. Allowed me to really wrap my head around the ideas being taught. Great job professor.

[MusicalMartha]

Incredible ! Thank you so much Dr. Chris Tisdell by far the best lesson on youtube. You save my semester ! :)

[amirmeysami]

one hour and a half remaining to my differential equations exam, this helped a lot!! Beautifully done!

[AndyJohnD]

people like you make Maths easy
clear, inspiring, encouraging & enjoyable
thanks very much

[ShimmerArc]

After 2 years stumbling about in my physics course you made everything clear in less than an hour. So that's what Fourier Series and Separation of Variables is all about! Blimey.. and there I was, memorizing everything without a clue of what's going on! THANK YOU! :)

[kevinshants]

Fantastic lecture as always! You explain concepts and calculations at a superior level. Thanks for all your videos Dr. Chris Tisdell

[mikesteele]

Thanks Chris. This is beautifully done. I'll recommend it to my students.

[DrChrisTisdell]

Not yet, but it's a good idea. In fact, I will teach another course on PDE in 2013 so I plan to make more videos about the heat kernel (and lots of the PDE things) then!

[toneg]

Wow, if you were my professor I wouldn't be struggling at all. I only wish I had discovered your videos sooner. Thank you!

[Matt]

It definitely worth watching. Thanks Chris to covering all the details involve in this method of solving PDEs.

[jrippee]

Dr. T,

you just saved me in my mathematical modeling course. I finally get this. Thank you!

[DrChrisTisdell]

Yes, you are correct - that's the general form for complex roots a + ib, However the real part of the roots at 20:30 are zero (ie, a = 0) and hence the exponential part you mention is just zero everywhere.

[jdstufu]

Thank you very much for your video lectures on Solving Heat and Wave Equations and your explanations on Method of Separation of Variables and Fourier Series. Both of your videos helped me with my Advance Math classes. More power sir!!!

[reffzz]

I'm so glad I found this as I was stuck with an assignment for a class I did not attend. It was very similar to what you solved here but the initial condition was different.

Thank you so much!

[ahmedop]

Dr. Chris, thank you from 1 to infinity ! .. Great explanation, wonderful presentation of the subject and a nice way of organizing the lecture.

[haris]

I wish Dr. Tisdell taught at our university - great lecture - we need more awesome professors who do this kind of explanation