Lesson 1 - Laplace Transform Definition (Engineering Math)

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In this lesson we will discuss the definition of the Laplace transform. This lesson aims to further your understanding of the Laplace transform and its purpose..

Пікірлер: 430

  • @AlshokaniChannel
    @AlshokaniChannel6 жыл бұрын

    There are hundreds of lectures and tutorials about Laplace transform across internet (KZread, 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

    @jessenelson5647

    5 жыл бұрын

    Best in Laplace transform s

  • @waldemarmoskalecki7891

    @waldemarmoskalecki7891

    4 жыл бұрын

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

  • @Annibals

    @Annibals

    4 жыл бұрын

    agreed

  • @AthulJoshi1609

    @AthulJoshi1609

    4 жыл бұрын

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

  • @christoffere425

    @christoffere425

    3 жыл бұрын

    @@waldemarmoskalecki7891 Because of people like you, new people never get the chance to learn.

  • @ninakimberlyn4049
    @ninakimberlyn40493 жыл бұрын

    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

    @darrenmafemba5493

    2 жыл бұрын

    positive reviews i hope i pass too

  • @pakoonkabetselentswe8785

    @pakoonkabetselentswe8785

    2 жыл бұрын

    Lol, story of my life.

  • @ThomateMaligno
    @ThomateMaligno Жыл бұрын

    Wow. Truly one of the best lectures on this subject on KZread. 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!

  • @aladdinelghali

    @aladdinelghali

    8 ай бұрын

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

  • @emmanuelmuganza3426
    @emmanuelmuganza34263 жыл бұрын

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

  • @Ronyllsky

    @Ronyllsky

    3 жыл бұрын

    Now teach other to do the same

  • @debabratarouth1235

    @debabratarouth1235

    2 ай бұрын

    Same for me.😅❤

  • @Annibals
    @Annibals4 жыл бұрын

    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
    @joedasilva1342 жыл бұрын

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

  • @fazilhamza1476
    @fazilhamza14763 жыл бұрын

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

  • @abayomiadeleke7765
    @abayomiadeleke77653 жыл бұрын

    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

    @mpforeverunlimited

    2 жыл бұрын

    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

    @ososeisaacosayande1188

    2 жыл бұрын

    Good

  • @Kurosaka

    @Kurosaka

    11 ай бұрын

    is it worth it? im in bachelors and considering it

  • @OMNI_INFINITY

    @OMNI_INFINITY

    10 ай бұрын

    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

    @terryseldon7446

    8 ай бұрын

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

  • @faizalhossen2289
    @faizalhossen22892 жыл бұрын

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

  • @melisazimwara4879
    @melisazimwara4879 Жыл бұрын

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

  • @Asahel717
    @Asahel7176 жыл бұрын

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

  • @neatmachine
    @neatmachine2 жыл бұрын

    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!

  • @thewhitene9746
    @thewhitene97463 жыл бұрын

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

  • @rodknocking351
    @rodknocking351 Жыл бұрын

    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.

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    @sprout0032 ай бұрын

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

  • @elijahachiekpanchol2772
    @elijahachiekpanchol27725 жыл бұрын

    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.

  • @EntropicalNature
    @EntropicalNature Жыл бұрын

    @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

    @rampakeshbharat1938

    Жыл бұрын

    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...

  • @cesarz8505
    @cesarz85055 жыл бұрын

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

  • @peterjay652
    @peterjay6523 ай бұрын

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  • @applasamysubbharao2578
    @applasamysubbharao2578 Жыл бұрын

    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 KZread 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.

  • @_bearlyaverage
    @_bearlyaverage6 жыл бұрын

    It starts at 5:23

  • @jeromeelejeda4997

    @jeromeelejeda4997

    5 жыл бұрын

    Thank you. Hahaha

  • @nurhan194

    @nurhan194

    4 жыл бұрын

    Thank you

  • @KppG-dn6zf

    @KppG-dn6zf

    4 жыл бұрын

    The real mvp right here :')

  • @erikottema2620

    @erikottema2620

    4 жыл бұрын

    Thanks!

  • @brightmureverwi6935

    @brightmureverwi6935

    4 жыл бұрын

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

  • @buffplums
    @buffplums4 жыл бұрын

    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.

  • @kangxu4839
    @kangxu4839 Жыл бұрын

    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!

  • @eyadallahham9421
    @eyadallahham94215 жыл бұрын

    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.

  • @ahmedehab5319
    @ahmedehab53194 жыл бұрын

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

  • @residentkiller23
    @residentkiller236 жыл бұрын

    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.

  • @DanielDybing
    @DanielDybing2 жыл бұрын

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

  • @abdullahiabukarali9975
    @abdullahiabukarali9975 Жыл бұрын

    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 🇸🇴

  • @alexfontaine6233
    @alexfontaine62336 ай бұрын

    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

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    @exxodas3 жыл бұрын

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    @omuinetimi

    3 жыл бұрын

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  • @craig_z
    @craig_z4 жыл бұрын

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

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    @ear4funk8144 жыл бұрын

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  • @harvibally
    @harvibally4 жыл бұрын

    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

  • @exatorian3468
    @exatorian34687 жыл бұрын

    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.

  • @trader891
    @trader891 Жыл бұрын

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

  • @reality3289

    @reality3289

    Жыл бұрын

    🤣

  • @OMNI_INFINITY

    @OMNI_INFINITY

    10 ай бұрын

    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!

  • @murtadhaalkenani3876
    @murtadhaalkenani38765 ай бұрын

    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!

  • @samuelvalle6407
    @samuelvalle64073 жыл бұрын

    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

    @MathAndScience

    3 жыл бұрын

    You are very welcome!

  • @niallfinn9454
    @niallfinn94545 жыл бұрын

    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.

  • @camiemengineer
    @camiemengineer5 жыл бұрын

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

  • @josephmak0865
    @josephmak0865 Жыл бұрын

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

  • @rabiyabasri5785
    @rabiyabasri57853 жыл бұрын

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

  • @ichnetanel
    @ichnetanel4 жыл бұрын

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

  • @johnfraser8116
    @johnfraser81164 жыл бұрын

    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!

  • @sibirajan4487
    @sibirajan44877 жыл бұрын

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

  • @Noble_Isaac
    @Noble_Isaac6 жыл бұрын

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

  • @michaelmcleary8566
    @michaelmcleary85662 жыл бұрын

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

  • @francismulenga9488
    @francismulenga94887 ай бұрын

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

  • @etornamtsyawo6407
    @etornamtsyawo64074 жыл бұрын

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

  • @baduraldeenali2411
    @baduraldeenali24113 жыл бұрын

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

  • @Dotrade
    @Dotrade7 жыл бұрын

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

  • @okeemmanuel7089

    @okeemmanuel7089

    4 жыл бұрын

    abi na....wetin man go do

  • @abdihakimmohamud9373

    @abdihakimmohamud9373

    4 жыл бұрын

    Waar Ilaahbaa ku fahansiiyey ee ALLE u mahadceli

  • @jamestrujillo5195
    @jamestrujillo51953 жыл бұрын

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

  • @sipsgee3091
    @sipsgee30913 жыл бұрын

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

  • @beataandreas6832
    @beataandreas68323 ай бұрын

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

  • @gabrielmiracle4592
    @gabrielmiracle4592 Жыл бұрын

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

  • @johnbrandolini2915
    @johnbrandolini29154 жыл бұрын

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

  • @scrainbow1234
    @scrainbow1234 Жыл бұрын

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

  • @AndyCelly
    @AndyCelly27 күн бұрын

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

  • @taslimaakter3071
    @taslimaakter30714 жыл бұрын

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

  • @christianb4679
    @christianb46794 жыл бұрын

    I’ve never learnt Laplace transforms before, but I’ve done calculus. I found this really easy to follow and interesting!

  • @muilawek2492
    @muilawek24923 ай бұрын

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

  • @geneticfreakmotivation6669
    @geneticfreakmotivation66693 ай бұрын

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

  • @sphelelendiyaza7682
    @sphelelendiyaza76823 жыл бұрын

    Thank You So Much Prof, We Really Appreciate Your Job. I Was Really Struggling With Laplace Transform🇿🇦

  • @reu.mathematicsacademy8566
    @reu.mathematicsacademy85662 жыл бұрын

    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

    @MathAndScience

    2 жыл бұрын

    Thank you!

  • @MichaelMalavazos
    @MichaelMalavazos3 жыл бұрын

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

  • @anwarkhan-wv7hr
    @anwarkhan-wv7hr7 жыл бұрын

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

  • @swamihuman9395
    @swamihuman9395 Жыл бұрын

    [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).

  • @harmail4747
    @harmail47472 жыл бұрын

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

  • @ahmedsaimon6751
    @ahmedsaimon67517 жыл бұрын

    Thank you sir.Really you are great sir..i am understanding the basics with great accuracy

  • @Nimiofalltrades
    @Nimiofalltrades2 жыл бұрын

    Your tutorials are very helpful and have always been

  • @omkute
    @omkute Жыл бұрын

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

  • @robertstack2144
    @robertstack2144 Жыл бұрын

    This was the best explination I have seen.

  • @Yo-pn9qp
    @Yo-pn9qp3 жыл бұрын

    phenomenal teaching! Thank you.

  • @thulasiram248
    @thulasiram2487 жыл бұрын

    nice explanation sir..i am understanding the basics with great accuracy..

  • @khaikazama491
    @khaikazama491Ай бұрын

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

  • @pasinducrishmal
    @pasinducrishmal Жыл бұрын

    Best explanation , this made my mind clear . Thank you

  • @ths3100
    @ths31003 жыл бұрын

    Thank you, Sir. You are such an excellent teacher! 👍👍👍

  • @1093edison
    @1093edison Жыл бұрын

    Amazingly clear explanation!

  • @samanthaseetaram1516
    @samanthaseetaram15165 жыл бұрын

    did you do a video on convolution theorem? if not can you please do one?

  • @davidmccormick426
    @davidmccormick4264 жыл бұрын

    Fantastic clear explanation. I now understand the L transformation. Thanks!

  • @MathAndScience

    @MathAndScience

    4 жыл бұрын

    So happy you liked it! Jason, MathAndScience.com

  • @omegapoint1258
    @omegapoint1258 Жыл бұрын

    Thank you from the bottom of my heart!

  • @giseltherrera349
    @giseltherrera3495 жыл бұрын

    super well explained, loved it !!!!

  • @alperturna4371
    @alperturna43715 жыл бұрын

    Thank you! Greetings from UVIC...

  • @mils2161
    @mils2161 Жыл бұрын

    Very effectively simplified. Thank you

  • @st.3433
    @st.34334 жыл бұрын

    Sir where can i find a course with Heaviside theorem about laplace transforms and imaginary roots ?

  • @ledassz
    @ledassz6 жыл бұрын

    Somewhere around 22 minutes you say that s needs to be greater than the constant in order to make sure that the whole thing doesn't go to infinity. I was just wondering if you can't just say 's-a may not be equal to 0' what makes that 's may not be equal to a'. Then you could also become a negative result when s

  • @sylvesterharding
    @sylvesterharding3 жыл бұрын

    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

    @jamesoyugi2234

    3 жыл бұрын

    Hello,for more explanation on Laplace Transforms,contact us at oyugiochieng1@gmail.com

  • @satyasarma9073
    @satyasarma90737 жыл бұрын

    very thankful to u sir... luv u..

  • @christiansonneville832
    @christiansonneville8325 жыл бұрын

    He is the best teacher!

  • @nixonkirwa5479
    @nixonkirwa54794 жыл бұрын

    It is a very nice explanation. Everything is clearer.

  • @stathisdrakos2101
    @stathisdrakos21017 жыл бұрын

    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

    @priyadarsini9639

    7 жыл бұрын

    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

    @stathisdrakos2101

    7 жыл бұрын

    thanks a lot !

  • @billstellsmith4051
    @billstellsmith40514 жыл бұрын

    What a fabulous teacher! Thank-you from England!

  • @imarshad
    @imarshad2 жыл бұрын

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

  • @MathAndScience

    @MathAndScience

    2 жыл бұрын

    Thanks so much.

  • @flowergranger581
    @flowergranger5815 жыл бұрын

    This is amazing. May God bless u sir.

  • @HemantRamphul
    @HemantRamphul2 жыл бұрын

    Best explanation of Laplace Transform. Thank you Sir.

  • @MannyGonzalezReyna
    @MannyGonzalezReyna Жыл бұрын

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

  • @edwardkatanha5540
    @edwardkatanha55403 жыл бұрын

    You have cleared my problems sir, thank you.

  • @azmodanpc
    @azmodanpc Жыл бұрын

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

  • @LoneWolf-zj8it
    @LoneWolf-zj8it5 жыл бұрын

    teaching with passion

  • @DanielHernandez-jr6yy
    @DanielHernandez-jr6yy4 жыл бұрын

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

  • @paulgraf4140
    @paulgraf4140 Жыл бұрын

    Great explanation! Thank you! 👍👍👍