Lesson 1 - Laplace Transform Definition (Engineering Math)

[@AlshokaniChannel]

There are hundreds of lectures and tutorials about Laplace transform across internet (KZbin, Vimeo, etc) This is the best explanation of Laplace concept on internet yet. strongly recommended to all especially engineering students and refreshing graduate engineers.

[@jessenelson5647]

Best in Laplace transform s

[@waldemarmoskalecki7891]

If you grew up to Laplace Transform- you should know how to integrate exponential functions. The guy is way too slow

[@Annibals]

agreed

[@AthulJoshi1609]

@@waldemarmoskalecki7891 He is doing it so that everyone could understand.

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Where ever you re right now, I wish you all the best. You've just saved my ass from failing my Finals for ENGINEERING MATH. Thank you so much

[@darrenmafemba5493]

positive reviews i hope i pass too

[@pakoonkabetselentswe8785]

Lol, story of my life.

[@قاسمعبدالاميركاظم]

Can help me

[@polymath_24]

@@قاسمعبدالاميركاظم نعم أستطيع المساعدة

[@ThomateMaligno]

Wow. Truly one of the best lectures on this subject on KZbin. Other channels seem to think that the students watching already know some of the steps, so they don't explain the procedures step-by-step as clearly as this channel does. Thank you so much!

[@aladdin_elghali]

Not mentioning the name, but I just came from one of those channels😅

[@maxdavid431]

​@@aladdin_elghaliMe too🥲

[@abayomiadeleke7765]

I am a PhD candidate in chemical engineering and I've done a lot of Laplace. But this tutorial was what I turned to when I tried to do a Laplace of a Besel function. Great job sir

[@mpforeverunlimited]

Bessel functions suck. I hated those in theoretical physics. They were so hard to understand but once I got them they were easy, I felt so dumb haha

[@ososeisaacosayande1188]

Good

[@Kurosaka]

is it worth it? im in bachelors and considering it

[@OMNI_INFINITY]

If X is frequency, Y is amplitude, then WHAT is Z? (when making a 3D graph of a laplace transform of an audio filter, for example)

[@terryseldon7446]

​@@OMNI_INFINITYgot quiet didn't it😂😂😂

[@EntropicalNature]

@19:49 a small correction: it does matter what s and lamda are. In the case s >= lambda the integral can be evaluated. If s lambda.

[@rampakeshbharat1938]

not a small correction, a fundamental important correction, with s not being defined at the very start. This highlights the difference in approach how an engineer and mathematician would approach maths...

[@fazilhamza1476]

By far the best tutor in math. Neither too technical nor much into application. Just the right amount of info on all aspects.

[@emmanuelmuganza3426]

in 25 minutes i've understood what i've been struggling with for months ! thank you sir !

[@Ronyllsky]

Now teach other to do the same

[@debabratarouth1235]

Same for me.😅❤

[@Annibals]

I'm so impressed by how you clear my doubts minute after minute after all previous teachers and tutorials left me confused at different levels with scattered explanations. You gave a solid foundation and built up from there. Very few I've come across that teach as good.

[@joedasilva134]

I have always wondered what was Laplace transportation. I was able to understand watching this video only once . This teacher is amazing.

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Carried me from highschool to college!! Graduating from uni soon all thanks to this legend

[@jefsch7]

Thanks!

[@MathAndScience]

Welcome! Thank you so much Jeff!

[@faizalhossen2289]

Thank you, sir. You refreshed my mind. I learned Laplace transform over 40 years ago. You are a great tutor/teacher.

[@RodSnocking350]

I am always amazed at how many extraordinarily good teachers there are on youtube and how many extraordinarily bad college professors there are. A PHD says that a professor knows a subject, not that he/she can actually teach it to someone else. Differential equations almost kept me from becoming an engineer 40 years ago, but I can actually understand what this guy is talking about and follow him. If his lectures had been available back in that era I might even have made a good grade.

[@melisazimwara4879]

The way you are passionate about maths is making me love and enjoy it again. Your classes have saved my semester. Thank you.

[@rabiyabasri5785]

Im frm INDIA,simplest way of explanation...BEST MATH TEACHER ON KZbin!

[@alexisvazquez7463]

OMG YOU’RE A LIFESAVER!! I missed the lectures that covered this because I had to fly out to a conference. I thought I could never understand this by finals. Thank you!!! Love the step by step!

[@neatmachine]

Most excellent presentation! I particularly appreciate your efforts to go through the details such as the “u”/“du” substitution. Also explaining the reasons “why” we are doing a step coupled with the summary review helps to solidify the concepts presented. Well done!

[@cesarz8505]

I usually don't comment but what a good professor, just how I like a class.

[@applasamysubbharao2578]

Oh Dear. I have been an a engineer since 1989 ( I mean , I become a processing engineer from graduated as Agricultural Engineer ). Have been headache when the electronic controllers came into use. And since retired ( 2019 ) from active duty , I become more like an advisor. Boiler drum level controls mostly solve by tuning . Each time one guy fail normally another guy ( Contractors ) will take over. The plant guys don't seek my advice until they run out of options. Than i decided to do my own calculation on PID . Laplace , since my Advance Mathematical days was just calculation on paper. Most of the KZbin refreshing on PID and Laplace re education never took me anyway close to solve the PID issues. It always trial and error until you get it right. Only now ( This video has came across a few time ) I can figure it out that we are converting dt to du or the variation of the du ( The Drum Level are the input ). This is all about Laplace in any control when the so called Deviation is actually the input in loop control. Thank you very much.

[@Asahel717]

You teach with such clarity. I'm understanding LTs better now than when I was in college. Thank you.

[@abdullahiabukarali9975]

Dear teacher, you have done a great job and this is the first time I understood well for Laplace's transformation, really helped. I am from Somalia 🇸🇴

[@thewhitene9746]

i really loved how you even showed the process to integrate.

[@kangxu4839]

Thanks, it helps me a lot, when I was trying to refresh my memory of LaPlace (which was learned more than 30 years ago) for an urgent need!

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[@alexfontaine6233]

Your videos have helped me out immensely this semester. You always break things down to simple components which helps me understand the big picture, I really appreciate it

[@muilawek2492]

Thank you very much indeed. Your really clarified some of my doubts and confusions.💯🙏

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For you inquisitive folks out there looking for the "gold" on the internet ... this is an example. You can pay a LOT of tuition to get this same information ... without it being explained so succinctly. Bravo to this Math and Science initiative for making this available. If you watched this and didn't head for the hills ... it was meant for someone like you (willing to advance their state of knowledge ... not gossip). Thanks!!!!

[@elijahachiekpanchol2772]

Such a wonderful teaching approach. You really made the hardest maths simple. Would you please make a long video covering the whole topic of Laplace and Fourier. I can't wait to watch the whole lecture.

[@murtadhaalkenani3876]

not my college teacher, nor youtube doctors and teachers, nor books or sites could explain this in a better way that you did ,THANK YOU!

[@scrainbow1234]

im dumb af and this is the only video that helped me. thank you.

[@_bearlyaverage]

It starts at 5:23

[@jeromeelejeda4997]

Thank you. Hahaha

[@nurhan194]

Thank you

[@KppG-dn6zf]

The real mvp right here :')

[@erikottema2620]

Thanks!

[@brightmureverwi6935]

hahahaha thought u was lying and watched i from 0000 yohhhh it really starts at 5.23

[@exatorian3468]

Your a life saver, this is a fantastic tutorial to pick this up again. Far more help than my tutor in Australia. I should be paying you instead of the ridiculous fees the uni is charging me for external study.

[@eyadallahham9421]

I am studying electrical engineering at Qatar university and I really appreciate your great job also I recommend this tutorial for any student who find is hard to understand Laplace transforms.

[@niallfinn9454]

Thanks to your tutorials I passed the Laplace section of my Maths exams...clear...detailed and for people that are not naturally good at maths. Thee most useful part of guides are the examples and working through the various problems. Continued success to you. Thanks a million.

[@buffplums]

This is fantastic! I’m still a little confused but that will be so,fed with practice but you have taken to explain the steps that everyone always assumes that the student knows, but those little bits of emphasis where there’s would dismiss, made all the difference to me. Thank you sir you have added a massive chunk to m understanding.

[@samuelvalle6407]

I can't thank you enough for this video. You're the sort of professor I was wanting this semester in differential equations lol

[@MathAndScience]

You are very welcome!

[@josephmak0865]

excellent excellent explanation. the world needs great math teachers like you

[@DanielDybing]

Perfect. Precise and to-the-point presentation of the definition. You presented this in a better way than my professor.

[@ahmedehab5319]

u dont know how many problems in my life u've solved !!! thanks alot

[@reu.mathematicsacademy8566]

You are the best lecturer I have ever come across...I wish you taught me in a physical class during my ode and pde classes

[@MathAndScience]

Thank you!

[@Dotrade]

Thank you so much ......you are the only teacher who i understand what he is saying

[@okeemmanuel7089]

abi na....wetin man go do

[@abdihakimmohamud9373]

Waar Ilaahbaa ku fahansiiyey ee ALLE u mahadceli

[@dkblack1289]

Jason is the best teacher in the world. I stand to be challenged.

[@harvibally]

I’m a computer science student studying numerical methods. We are currently looking at how to compute the solutions to differential equations. This has helped me to understand the transform so thank you

[@craig_z]

I didn't think I would understand this before watching but I did! You're a great lecturer.

[@freedomsebastian2546]

Blessed up school father❤

[@RaeTheActuary]

Love your videos, you the best man

[@Noble_Isaac]

Very well done. This guy knows how to teach. I can see how passionate he is in the subject. Really enjoyed the lecture.

[@francismulenga9488]

Am doing My Bachelor's Degree in mathematics and through Him am as able to understand without difficulties...God richly bless you

[@michaelmcleary8566]

Had my first introduction to Laplace transforms today at Uni. This is a far better explanation!!

[@imarshad]

Without a shadow of doubt the best and easiest lecture on introducing Laplace transform.

[@MathAndScience]

Thanks so much.

[@pixellabguy4618]

You are seriously the best man ❤

[@camiemengineer]

Only Masters who truly know their subject can explain so all can understand without faltering. Oh and that sums you up for this topic!

[@residentkiller23]

I really wish u had your youtube channel with all these videos back in 2006.. i would have aced all my subjects instead of just passing due to lack of understanding.

[@beataandreas6832]

This was my first introduction to Laplace before lectures but after this video it makes sense.. yuh are a good lecture 👌 ❤

[@sylvesterharding]

Thank you for this series sir, I'm all the way in Sierra Leone and this is helping me understand Laplace a great deal Tons of love sir

[@jamesoyugi2234]

Hello,for more explanation on Laplace Transforms,contact us at [e-mail]

[@harmail4747]

Love yoooouuu. You have already proved what has long been staggering in my mind.

[@jamestrujillo5195]

This video is so underrated. This video helped me SO MUCH

[@AndyCelly]

I really love the way this prof breaks down complicated topics yooh

[@johnfraser8116]

This is great. Very clear and the speaker repeats himself from time to time which really helps getting the facts into memory. Big thanks for this!

[@swamihuman9395]

[BTW, there's a question in here, eventually...] - Thx, Jason. Excellent presentation of the subject matter (as many have noted). - I studied this in my formal (electrical) engineering education. I understood it in practice, as well as the calculus manipulation - BUT, only came to understand it mathematically, years after college, when I went on a 2-year self-study into math (after which I became a math teacher!). - As I'm sure you know, the Laplace Transform is a special case of the more general, Integral Transform, where e^(-st)) is just one of many different "kernel" functions that can multiply the time varying function ("signal"). - In the Laplace Transform (LT), s is an element of the complex numbers (if I understand correctly), with non-zero real and imaginary parts, whereas in the Fourier Transform (FT), the kernel is purely imaginary. - QUESTION: What are the ramifications of the different kernels of the LT vs. the FT? I suspect it has something to do w/ magnitude, +/or phase. And, I suspect the particular integral transforms are intimately related, given the similar nature of their kernels. In fact, it seems the FT is in some sense a subset of the LT, given that it is purely imaginary, thus missing the real component present in the LT. - TIA. - And again job on the vid. Looking forward to watching some of your others - and sharing some w/ my math/philosophy group (the "Wing Circle"; find it on Facebook).

[@robertstack2144]

This was the best explination I have seen.

[@gabrielmiracle4592]

Wow... How am I just getting to discover you now since 7 years ago this video's been uploaded. Thanks tutor

[@trader891]

This was the most difficult part of my mechanical engineering education 45 years ago.

[@reality3289]

🤣

[@OMNI_INFINITY]

If X is frequency, Y is amplitude, then WHAT is Z? (when making a 3D graph of a laplace transform of an audio filter, for example) Thanks in advance!

[@taslimaakter3071]

The math tutor DVD is so good you guys should try it out and thanks for uploading free videos :)

[@baduraldeenali2411]

Thank you.. this the first time I understood the lapalace transformation.. easy way of discussing a a difficult concept.

[@MichaelMalavazos]

Excellent explanation of Laplace Transforms, mathematics lecturers need to learn how to lecture from this video

[@geneticfreakmotivation6669]

Thank you for this video and all your other great content, such great teaching and I wish I had found this channel sooner!

[@omkute]

this 6 year old lecture is still of golden standard even in 2022 .🙌🙌

[@pasinducrishmal]

Best explanation , this made my mind clear . Thank you

[@aminamuhamadi-sd6yk]

Waoo this is the best lecture as far as Laplace transform is concerned

[@azmodanpc]

Nightmares of my college years. Thanks for the ptsd. Joking, really succinct and very clear explanation, wish my college teacher was so clear.

[@etornamtsyawo6407]

Alas! I got to understand something about Laplace transform. Thanks a lot.

[@fcalin21]

I love math. So clever !

[@yousufnazir8141]

Best explanation of Laplace transform

[@DanielHernandez-jr6yy]

Change of variable theorem applies to definite integrals, not improper integrals and requires a change of bounds when the variable is changed.

[@bunkydunk7500]

This was extremely helpful on a topic i haven't really grasped yet! Great job, thank you!

[@MathAndScience]

Glad it was helpful!

[@bunkydunk7500]

@@MathAndScience I have so much Laplace transform homework and will watch this again!

[@sibirajan4487]

Sir you just helped me revise the whole thing , almost after 4 years .. Thank you ..

[@HemantRamphul]

Best explanation of Laplace Transform. Thank you Sir.

[@sipsgee3091]

You’ve just made life easier for me sir thank you 🙏

[@Nimiofalltrades]

Your tutorials are very helpful and have always been

[@brendonmaupa5802]

best tutor.....thank you so much

[@stathisdrakos2101]

At 19:50 it's claimed that the sign of infinity is minus, no matter what is the sign of (s-λ). Ιs it true? I mean, if S

[@priyadarsini9639]

At 22:27 the condition to prevent the denominator from becoming a zero, is noted as, "valid for S>λ''. but, if the infinity were to change to +, whole answer would have been infinity. it worked out eventually.

[@stathisdrakos2101]

thanks a lot !

[@omegapoint1258]

Thank you from the bottom of my heart!

[@RetroGamePlayGt]

Looking forward to complete the whole series, really good lesson. Keep UP the Hard work.

[@khaikazama491]

i have trouble to get grip of this subject and you show me a chances. thank you, Sir

[@klong4128]

Very Good for ABSOLUTE beginner First lesson of LT .When I first exposure of LT ,I immediate Think of Logarithm Transform from complicated MULTIPLICATION/DIVISION to SIMPLE addition/subtraction ! There are ANALOGY/homology between the concepts of the two systems !

[@mils2161]

Very effectively simplified. Thank you

[@OMNI_INFINITY]

*If X is frequency, Y is amplitude, then WHAT is Z? (when making a 3D graph of a laplace transform of an audio filter, for example)*

[@christiansonneville832]

He is the best teacher!

[@sopheaksaing3176]

Thank you, professor

[@MannyGonzalezReyna]

Thanks so much, I remembered my lessons on chemical engineering from 1983.

[@osy_254]

From Nigeria helping me out 👏

[@nishyankpatel3004]

Hi Sir, S>lambda is important as when you put t-->infty after integration, if s

[@melsouglybryce3145]

Thanks very much sir Now I understand laplace Transform Dr. Mahoi was just jumping up and down the place making us think we are fools...

[@anwarkhan-wv7hr]

sir you are really an outstanding teacher. i am really apreciated

[@1093edison]

Amazingly clear explanation!

[@johnbrandolini2915]

Thank you very much for the refresher. You presented it much better than my college prof.

[@marekrawluk]

19:47, if -(s-λ)t (t=+∞) is -∞ it requires s>λ (not mentioned), this condition is shown much later at 22:10, explained as to avoid zero in denominator, . It is a difficult point actually as parameter/variable 's' belongs to different domain than pure parametr λ.

[@williamwelmans8648]

A truly excellent lecture! ❤