Wave Equation

MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015
Instructor: Gilbert Strang

The wave equation shows how waves move along the x axis, starting from a given wave shape and its velocity. There can be fixed endpoints as with a violin string.

License: Creative Commons BY-NC-SA

[jrrustad]

So amazing to be able to see Prof. Strang give a lecture. His books on linear algebra and applied math were extremely enlightening to me when I was just getting into computational modeling in the mid 1980s. In those days I lived on a diet of Feynman and Strang, but only through writing. Now you can actually watch them! What a great world we live in.

[rmd]

Prof. Strang, and Prof Balakhrishnan are by far the best teachers i've ever listened. Two giants!

[jonahansen]

I love this guy. What a great teacher. I'm glad he's doing this stuff and not retiring. He's a legend!

[marcionele]

Thanks Prof. Strang! In these classes, I revived much of my undergrad math courses. Your passion and clarity were very stimulant and it was a pleasant trip. Best wishes.

[crystalcear]

If the delta function confuses you, I guess a very simplified way to think about it is a function called "BOOM" where you hear a boom when the input is 0. Let c=10 meters/second.
If you are standing at x=0, you hear the boom immediately
If you are standing at x=20, then it takes 2 seconds to hear the boom (you hear the boom at t=2).
Similar thing happens at x=-20 (this is the leftward traveling wave).
The farther you are from x=0, the longer it takes to hear the boom.

[marverickbin]

i remember when i was modeling guitar string positions and sound with 1d wave equation, with initial conditions as a ramp, simulating the pick on the string, and strings always at 0 on edges. really cool.

[bd_harold]

These are invaluable lectures which should be passed for generations to come

[gustavnordin]

Thank you Prof. Strang. I really appreciated that. Will look at your other lectures.

[sanazgholitabar]

i almost finish my master with his videos ;)

[leilikheirkhah]

Such an amazing professor who teach all around the world, just I am imagining how his grandchild proud of him, cute grandpa !!!

[AhmedSALAH-bbun]

I owe this man alot, Thank you professor!!

[georgesadler]

The wave equation is another classic equation of partial differential equation. This equation has many applications in physics and engineering.

[saifusmani]

Really this lecture is amazing.. I had never watched this type of video.
Nice

[КлинтИствуд-ъи]

Thank you very much! Your lectures is definitely one of the most valuable gifts live gave me.

[hypatiakovalevskayasklodow]

I wish people who teach to groups that are more to theoretical mathematics side would still keep all the physics examples in
I'm all for hard core math, but let us not forget it all had inspiration in nature in the first place

[pablomendez]

Excelente video Profesor Strang, continue dando sus valiosos aportes. muchas gracias por compartir sus conocimientos. Saludos desde venezuela!

[omarelabyad]

They should make a Nobel prize for teaching just so they can award it to Prof. Gilbert.

[muneebasghar]

6:14 "that's a cool solution"

[frun]

This is what I was looking for. I can see, those are two different equations, now :P

[iotdeveloper]

He is not a genius but much much more than a genius because he produces genius.