PDEs 1: The Lay of the Land

[abinashmandal]

I watched this playlist while doing masters in 2019. Now as I am trying to do more research works, I am back here to review the great insights about pdes. Thank you professor

[aerodynamico]

I was hooked long ago on your Linear algebra course; I am hooked again with this. For an engineer, not a mathematician, these are just what the doctor ordered. Wonderful teacher.

[damian.gamlath]

I love your style of teaching because you actual explain the ideas and general meaning of the concepts in the mathematics; most other videos are more instructables but when I watch those, my brain throws up so many questions that left unanswered and I am left feeling unsure of the topic.

[yongkailiu]

really want to listen to all the lectures in just one night! Very precious! This is what I expect about real education!

[DavidMorley]

I remember (circa 1977) the cover of Spivak's Comprehensive Introduction to Differential Geometry, Vol. ?, depicting PDEs as a tar pit with struggling doomed beasts. (Like tensors, Spivak's generalized notation was his main contribution for me, IMHO).

Thanks for the excellent lectures. I really like your coordinate-independent motivations.

[amarug]

one of the absolute best math teachers

[AkHafiz]

I am so glad that I came across your channel. Thank you very much for all your efforts.

[georgesadler]

Professor MathTheBeautiful, thank you for explaining the difference between Ordinary Differential Equations and Partial Differential Equations and their impact on Science and Applied Engineering. These two topics are important in Pure and Applied Mathematics. This is an error free video/lecture on YouTube.

[NTC]

Will you teach FEM to solve PDEs ? I am so looking forward to that course, if any

[TheRenaff]

this is probably the most valuable piece of data about PDEs available at the whole internet, if you are studying PDEs for the first time...

[simondemarque]

What is not often mentioned at math course level, is that physically, the general solution is the natural repsonse of the system. e.g. electrical RLC circuit differential equation with 0 second term will give us the resonance frequency. In case of a simple RC or RL circuite, it will give us the step response characteristic time (RC, or R/L). Similar for elastic mechanical system....

[krishnabhogaonker]

A lot of people are interested in identifying a book to accompany the lectures. While the Professor did not explicitly identify a recommended book, I think it is important to find a decent text to supplement the lectures. The problem is that most of the books out there fall victim to the pure calculus or analytic approach to ODEs and PDEs that Prof. Grinfeld rightly criticizes. So it is hard to find a book that does not undo a lot of the good habits and intuition that the professor provides in the videos. The closest book that I have found that follow's Prof. Grinfeld's method is the book by Haberman, INTRODUCTION TO DIFFERENTIAL EQUATIONS WITH DYNAMICAL SYSTEMS. Section 1.6 of the book essentially follows the same ideas of particular and homogeneous solutions that the professor lays out. Of course, this book also does approach the subject analytically, so the reader will have to do his/her best to reconnect the intuition between the book and the lectures. Just wanted to put this info out there in case anyone else was interested in finding a good book to use. Also full disclosure I don't get any benefit from promoting this book or anything.

[Revan]

Sir, you are so cool and I'm glad that you talk about differential equations <3

[kaizoku]

dude you are amazing !!!
the first time that maths make sense !!

[flamer]

such great course.. explaining the motivations and a bit of history really is the way i can finally understand these concepts :O

[proggabasak]

Awesome lecture. Sir which books are you following for this pde course?

[jakemccampbell]

Love you videos. Best math videos i've seen!

[MaxwellsWitch]

omg you have a lecture series on pdes? yay!

[DrDoubleplusungood]

How much calculus is necessary to understand this course? Your linear algebra videos have cured me of my superficial understanding of linear algebra, but I still have a superficial understanding of calculus.

[anbarasans]

Entering into world of changing objects.. Thnk u sir