Introduction to the convolution | Laplace transform | Differential Equations | Khan Academy

Introduction to the Convolution

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Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations.

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[changyuanlin]

This is the introduction to the integration rather than convolution!

[someonetoogoodforyou]

For those who are interested: Convolution is used frequently in vibration analysis of second order systems.

[OlisserGomez]

i just watched this video on a Saturday night and thoroughly enjoyed it, especially the ending where he was able to cancel and simplify, it's an odd sense of satisfaction.

I need to start drinking and going out again...

[michaelempeigne]

a better idea is to use the product to sum formulas:

sin A cos B = ( 1 / 2 ) * [ sin ( A + B ) + sin ( A - B ) ]

[Kosma_polvo]

Thanks a lot Sir,
Btw, you can just multiply and divide by 2 to Sin(tau)Cos(tau) that would convert it into sin(2tau) /2
Now that's more easy to integrate, just write = -Cos(2tau)/(2*2) ..:)

[pc_phage]

Great example! He made simple the scary notation and held my hand through all the calculations. Now I’m ready for anything he throws at me in the next video.😊❤.

[antzikal]

Yep, I agree. What you said is correct in modern Greek. Not sure if that was the pronunciation in ancient Greek though, there is a belief that you would pronounce a (α) and u (υ) separately.

It's really annoying hearing it as "tao".

τ should sound line "tough", as you may say "tough guy", taf may be misleading

[redshot]

Finally I understood how a Convolution is done.

Thank you very much.

[thefinitejoke]

Great introduction to convolution. My professor tends to go off on random tangents and this exercise finally gave me an idea of the nuts and bolts.

[rafaelsevilla]

con·vo·lut·ed
/ˈkänvəˌlo͞otid/
Adjective
(esp. of an argument, story, or sentence) Extremely complex and difficult to follow.
Intricately folded, twisted, or coiled.
Synonyms
convolute - intricate

[sizzlingal]

Thank you so much! like everyone else, i did not understand what my Professor has been talking about all semester! If i didnt watch these videos, id have no understanding of Diffeq's. May you be blessed for posting these videos!

[Captain_Rhodes]

yea but its just simple integration. what does it actually mean?

[amak]

An old video but THANK YOU. Instructor never did explain things very well. Was also unsure where to plug the 0 and t into. Simple looking back, but the confirmation was great.

[horcrux]

he said he was about to define what convolution is at the beginning, but he ended up solving a made up a convolution problem without even defining.

[perala]

your ''t'' looks like a ''+" . Apart from that, it's a very good explanation.

[KanitaKhaled]

wow. best video on intro to convolution that I could find! amazing!

[DrFlox]

For a future video it would be great to see a visual explanation of convolution, what is actually happening with the functions?

[philcooper]

A bit long winded but brilliantly explained. A true master of teaching.

[toridvoice]

This is extremely helpful.
Next video of high level math could you not go over U substitution... or explaining the other math... I mean I assume all of the people that come here are engineers... or at least have other sources of calc 1 or 2.

[carlento]

I'm doing my second year mechanical engineering at university and this is helping me a lot thank you very much for posting this amazing clips.