Why the Laplace Transform?

Why complicate things with the Laplace Transform? This all comes down to my favorite un-function.

//Watch Next

//Music Provided by Epidemic Sound
Between The Lines - Elijah N
Detective - Dexter

Use this referral link to get a 30 day free trial with Epidemic Sound for your YouTube channel:

//Books

//Recording Equipment

DISCLAIMER: The links above in this description may be affiliate links. If you make a purchase with the links provided I may receive a small commission, but with no additional charge to you :) Thank you for supporting my channel so that I can continue to produce mathematics content for you!

[GoodVolition]

One of the beautiful things about the Laplace transform is its robustness. It pretty much just works when dealing with ODEs and some PDEs. By using rule tables and basic calculus you can derive correct system representations and responses for functions and distributions even if you're completely unaware of what a distribution is.

[matejrajchl]

I've seen this topic explained multiple times and I understand it to a degree (engineer here), however the way you present it without using too much of unnecessary lingo it makes it very clear. Great job!

If I remember correctly isn't there also a problem with step functions?

[Amine-gzgq]

This video complements Brian Douglas's explanation of transfer functions, which you can find in his PDF book on control systems.

[fanalysis]

Can you do a video covering distributions e.g. weak topology and tempered distributions

[edal]

i think that saying the delta function is a linear functional (instead of distribution) is more appropriate for the control / signal-processing community.

[davecooper]

Going too fast = gobbledygook. Also not properly defining terms is equally confusing. If you are a college lecturer (?) this should be apparent. Try slowing down and taking things step-by-step for better effect...