So many years, crap teachers tried to make us hate math. Every science is built on small logical steps. If only i had a teacher like this, taking the time to explain those logical steps, then my life at the university would be much more cool...Thank you so much sir!
Hey man. This is great! I did this stuff at uni nearly 45 years ago. I learnt it all from books and must have passed an exam in it, but it never really stuck. (To tell you the truth, I've never had to use it in my career, and I'm close to retirement now.) But, for the love of mathematics, I finally understand it, and that is all thanks to your detailed presentation. I cannot tell you how grateful I am.
"I've never had to use it in my career" is something both sweet and bad to hear, can you give us a bit of your knowledge of what things we should focus on and what not, as engineering students ?
This Electrical Engineer, who is also great teacher of mathematics who can explain the full details and reviews how those steps are derived are the ONES we need in this world of ENGINEERING.
If today 's education is not more important than a university degree, then I have enough knowledge about your lessons and I can better understand my teacher at home, I respect you. From Somalia🇸🇴💕💕🇸🇴
Thank you so much, Jason. this is very helpful for me. It's very difficult to find a teacher or lecturer who teaches mathematics clearly like you. Stay like this, I think you will be a new teacher in my life, especially in mathematics
What you have done here is really important. Derivations are very important for understanding and unfortunately there is a lot of maths today done by students by being given the formulae and just applying it. Thats ok provided they have at least once, derived that tool I have not done LTs for decades but your clear analysis is a doddle - so I've learnt it all again after an engineering career. Well done!!
Though I agree that some lecturers did not spend the time to do the details, one of the culprits in this case is the requirement by the schools that certain topics have to be completed in a given time frame. This limits any discretion on the part of the teacher/lecturer.
Of course this too is interesting to know, the classical derivation, from the roots, of L T of cosine and sine, but there is a much more elegant and straightforward way to derive both at the same time. Just treat the cos(βt) & sin(βt) as the real and imaginary parts of e^(iβt) and you will get 1/(1-iβ) and multiplying top and bottom with the complex conjugate you'll get (s+iβ)/(s^2 + β^2)
very nice and calmly paced explanation. I think you can circumvent integration by parts by using $\cos \beta t = 1/2( e^{j\beta t} + e^{-j\beta t} )$. And one thing more: i think the condition should be Re(s)>0 (s>0 is not well defined for s complex)
bah, 14:50 paused the video because i didnt understand why second B wasnt squeard. checked my lacking math skills for 30 min. still didnt get it and went back to the video only to find it was squared after all. I suck..
for integration by parts formula, doesnt u= the trig function and dv= exponential. The order of substitution for u i learnt was liate where logs,inverse,algebraic, trig, exponential. since trig was higher on the list u would be trig right?
Thank you for your patient teaching and explaining....really helped to go back to basics and strengthen them!! I am able to get a hang of laplace all thanks to you!
Sir i have got a question shouldn't you take cos=u in the beginning since it is a trigonometric function and has the priority compared to the number of e ?
So many years, crap teachers tried to make us hate math. Every science is built on small logical steps. If only i had a teacher like this, taking the time to explain those logical steps, then my life at the university would be much more cool...Thank you so much sir!
Anyone here during this lock down?? He's a great teacher indeed
Hey man. This is great! I did this stuff at uni nearly 45 years ago. I learnt it all from books and must have passed an exam in it, but it never really stuck. (To tell you the truth, I've never had to use it in my career, and I'm close to retirement now.) But, for the love of mathematics, I finally understand it, and that is all thanks to your detailed presentation. I cannot tell you how grateful I am.
"I've never had to use it in my career" is something both sweet and bad to hear, can you give us a bit of your knowledge of what things we should focus on and what not, as engineering students ?
I used it in electric engineering in electronic circuit transform function and control system to evaluate the stability
This Electrical Engineer, who is also great teacher of mathematics who can explain the full details and reviews how those steps are derived are the ONES we need in this world of ENGINEERING.
If today 's education is not more important than a university degree, then I have enough knowledge about your lessons and I can better understand my teacher at home, I respect you.
From Somalia🇸🇴💕💕🇸🇴
Thank you so much, Jason. this is very helpful for me. It's very difficult to find a teacher or lecturer who teaches mathematics clearly like you. Stay like this, I think you will be a new teacher in my life, especially in mathematics
Your videos are the reason I'm gonna pass ODEs. Infinite likes!
I just wanted to thank you for everything. For the patience and everything. I will always put you in my credit once I get my degree. Thank you Sir
I'll come back here once I'm an engineer.
What you have done here is really important. Derivations are very important for understanding and unfortunately there is a lot of maths today done by students by being given the formulae and just applying it. Thats ok provided they have at least once, derived that tool I have not done LTs for decades but your clear analysis is a doddle - so I've learnt it all again after an engineering career. Well done!!
I really appreciate it!
Jason, MathAndScience.com
You are just incomparable sir! May. God bless you more with knowledge and wisdom
THIS GUY IS AMAZING
God bless you and your family sir. This has helped me a lot. I appreciate it
Though I agree that some lecturers did not spend the time to do the details, one of the culprits in this case is the requirement by the schools that certain topics have to be completed in a given time frame. This limits any discretion on the part of the teacher/lecturer.
You are a great teacher. I wish I had you in college. You're worth your weight in gold... no, worth my weight in gold. 😁
Funny!
Thank you, you are a very good teacher. Really clear writing and steps
I have been following and I am glad I did. Made more comprehensible.
Dear teacher, really, it's my first time to understand this topic thank you so much
it is perfect
Thank you so much Sir. This is the best video tutorial I've watched on Laplace Transform.
Best maths teacher ever I must say
No one can explain like this in whole UA-cam
i really love the way you teach. Excellent!!!!!!
Studying this for my control dynamics class because my teacher didn’t taught me this :’). Great video and amazingly explained
Thank you so much for the information..your teaching skills are excellent.
I loved mathematics because of you thank you very much!!!
An awesome teacher indeed. Thank you.
I CAN NEVER THANK YOU ENOUGH SIR
Your way of teaching is clear to me that why I inspire to full fill my goal God bless you...
surprisingly how simpler the Laplace transform of cosine and sine. thank you, Sir
You sir are a true saint!
i swear you are a legend, THANK YOU!
Of course this too is interesting to know, the classical derivation, from the roots, of L T of cosine and sine, but there is a much more elegant and straightforward way to derive both at the same time. Just treat the cos(βt) & sin(βt) as the real and imaginary parts of e^(iβt) and you will get 1/(1-iβ) and multiplying top and bottom with the complex conjugate you'll get (s+iβ)/(s^2 + β^2)
Your Videos are simply amazing .. Thank you
I almost have given up in class, thank you for this motivation
Thank you sir for your suchn a wonderful way of explanation make easier to understand a problem.Take love from Bangladesh.
u literally are making my night sir, Thank you
Not all heroes wear capes
I'm trying my level best to finish all his videos
Thank you so so much, sir.
I'm getting so much value.
very nice and calmly paced explanation. I think you can circumvent integration by parts by using $\cos \beta t = 1/2( e^{j\beta t} + e^{-j\beta t} )$. And one thing more: i think the condition should be Re(s)>0 (s>0 is not well defined for s complex)
bah, 14:50 paused the video because i didnt understand why second B wasnt squeard. checked my lacking math skills for 30 min. still didnt get it and went back to the video only to find it was squared after all. I suck..
I've done things like that before!
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haha, that is a mistake that I usually made when doing calculation. So, I thought that was his mistake at that moment.
i just paused and came to the comments to see that ahah Thanks mate xD
i read this comment before the video, then the same thing happened to me, then i was like oh
Such an excellent teacher. You're so Amazing sir.
for integration by parts formula, doesnt u= the trig function and dv= exponential. The order of substitution for u i learnt was liate where logs,inverse,algebraic, trig, exponential. since trig was higher on the list u would be trig right?
Sir, We greatly appreciate your work 🙏😊.
Perfect 👍
Saved my semester
An excellent teacher! ❤
Great explanation for this interesting item.
Thank you, Jason!
Thank you for your patient teaching and explaining....really helped to go back to basics and strengthen them!! I am able to get a hang of laplace all thanks to you!
HOW ARE YOU SO GOOD! Thank you so much
Sir can we change the cos(βt) in exponential form then we can find the Laplace transform ∟(cosβt) easily.
really loved it sir huge respect for your knowledge
i understand now this has made laplace easy.
wow this is amazing...thank you for your time to make this video ....
Sir for integration by part isnt u will be cosbtdt and dv will be e to power of - st ?
Thank u a lot it is great lesson and very intersting I used thad before 40 years a go 🤣 now I refresh my memorize for fan
I would calculate Real part if the Laplace transform of e^(ibt)
Excellent teaching indeed!
Applying LIATE when choosing u and dv exponential should be dv while trigonometry is u.
It really doesn’t matter if ur able to integrate any one of them.
In both ways it will still work and u will get the same answer.
Thank you sir you made Laplace transform made easy.
Sir i have got a question shouldn't you take cos=u in the beginning since it is a trigonometric function and has the priority compared to the number of e ?
@glyn hodges Thank you very much for the info
It really doesn’t matter if ur able to integrate any one of them.
In both ways it will still work and u will get the same answer.
@@abdulrahmanmohammad2811 no u wont i tried
it gives u Beta at the numerator rather than S ...if im wrong plz tell me
Thank you and bless you for this video. 🙌🏽👏🏼🙏,
thanks man
i really appreciate your work
Wonderfully done!!! Thanks
If you open your control theory book they say:
Applying the definition we can EASILY see that...
All videos are super
I'm not sure why you didn't use LIATE while doing the bi parts integral
Perfect Dr. ...
Sir why always Exponent in U instead of the trig? LIATE right?
It really doesn’t matter if ur able to integrate any one of them.
In both ways it will still work and u will get the same answer.
I love your lesson sir
good lectures very helpful
Good work
Thank you so much. well understood😉
when integrating by parts why didnt you pick cos as u because of the formular liate?
When dealing with cases like this, it's very much easier choosing your U to be an expression that can be differentiated easily
Thank you so much 😊 , you really helped me
thank you sir, very much appreciated
My professor doesnt even lecture. Thank you for your videos!!
老师讲得太赞了！
Superb explaination
This is great sir.thank you
Very clear explanation thank you sir
You are very welcome!
What if I take my u=cosBt?
I agree, base on LIATE of Integration by parts.
It really doesn’t matter if ur able to integrate any one of them.
In both ways it will still work and u will get the same answer.
What a man.
Ur supper amazing 😍😍😍 thank you so much
I wish I could give this video 20 likes
But for laplace cos(ax) we have very easy law to find integration
Why is it that we can't let u=cos(bt) and dv= e^-st?
It really doesn’t matter if ur able to integrate any one of them.
In both ways it will still work and u will get the same answer.
nice work sir, thanks
2024 and still the best
A star inded, thanks
Am really enjoying ur class
But don't know how to use cosh and solve a problem
Someone should plz help me
god bless you
I get it thank.
THANK YOU
it's more easy with u=cos(Bt)
I Dont understand , how this integration by parts is done , because the ILATE rule is violated.
This is LIATE rule not ILATE
The LIATE rule isn’t actually a rigorous requirement, just a method for prioritizing that might lead to a quicker solution.
It really doesn’t matter if ur able to integrate any one of them.
In both ways it will still work and u will get the same answer.
Gr8t tutorial so far
I love you.
That's all
good work
I thought it’s -1/s
Puneet bhaiya