I got 26/50 marks in our sessional 1 in my university. Then i saw you and i fell in love with you :). You are great. I finally got 83/90 marks in our final exam of calculus.
Hi Professor Leonard, Im an applied Mathematics and computer science student all the way from South Africa. i dont know how this will come out on you, but from me its acknowledgement, your tutorials have really helped me a lot more especially in Calculus did all three classes and have managed to get myself distinctions, all thanks to you Prof, this semester im doing discrete maths and differential equations. im excited and glad to see that you still by my side i feel lucky, and God Bless you.
Finally, I know how they created these Equations of Motion in Phy1. You feel extremely happy when you get the big picture. I really appreciate it. Thanks a bunch.
I have nothing but love for you. Thank you very much for your help as I am self-studying for differentials next semester. Your hard work is appreciated and is very admirable. I hope you and your family are doing well during this break from RUclips. Whether you are coming back or not your impact will live on. 💗
Hi Professor Leonard, I just wanted to say thank you for taking the time to prepare these lessons, and also teach them with the prose and clarity in which you do. I watched a handful of your calculus three lectures, mainly toward the end of your course on the three big theorems -- green's, stoke's, and divergence -- and you helped clarify them exponentially for me. My professor at a Big 10 Uni. taught them in a slightly different ordering than yourself, but your method of teaching the final chapter of calc 3 seemed to flow much more nicely. Thanks again professor, and I hope you have a happy and safe new year
You are doing a great job. I have been following your for 5 years right now. I was looking forward to seeing the differential equations videos. A big thank you for that. I am also wondering if you're going to do any linear algebra course any time soon.
it's amazing to really see how physics and maths are so interconnected to each other. the equations of motions that we have learnt throughout our whole life were nothing but solutions to these diff. equations.
Thank you for this elementary explanation. I’ve spent like the last two days trying to understand the relationship between boundary conditions and initial conditions. I’ve learned that when you solve a differential equation, you get natural initial conditions (like the x0 and v0 in the video) and they tell you the future state of the function. Thus, you can use said initial conditions to predict the boundary conditions, which for me is a better way to think about where boundary conditions come from. It also helps me understand why boundary conditions sometimes fail while initial conditions do not. It’s because sometimes certain curves are impossible for your differential equation, regardless of the initial conditions, so the boundary conditions make the equation inconsistent. Something like that. This video helped me gather my thoughts. Thanks again, Professor Leonard! 🙌🏽😁🎊
This is quite interesting ,back in high school i always learnt these "physics' formulas" by heart and now they all make sense , thanks for making these videos they are very educational even for people not taking a Dif Eq classl! :)
I don't know, but the second example seems to me to have some problems. you are taking (t+4) = u ,, after integrating, You get (1st term + 5u +C1). When you put the value of u, you get [(1st term + 5(T+4)+C1], not 5t. If I am wrong, Please correct me.
I noticed that the majority of these math channels stop at differential equations and don't continue up. Anyone like this or Sal Khan who lectures for real analysis or abstract algebra?
I recently noticed that physicists rather use "speed" instead of "velocity" and say that speed is a scalar, while velocity is a vector that required a mentioned direction. Even in publications by natives I see a lot of use of velocity. So what is the correct term?
@@GoatzAreEpic but this is only halvely true. The definition I often read is that velocity is the distance from start to end point divided by the time, even if the position was further away at some point. But even in texts by native scientists I read a lot about mean velocities. Which with the definition above does not make too much sense for a pendulum.
Is there a video for 2nd order linear equations for Mechanical and Electrical Vibrations? and Nonhomogenous Equation with Method of undetermined coefficients?
If we consider the initail velocity of something at t=0. Theorically that's not priciesly possible. According to clasic physics we can examine intantaneous spesific time at time=0.000001111 for example. Because deniminator of the unit of velocity can not be zero.
hahaha, unfortunately no.... He'd be WAY to powerful in he learned Diff Eq! JK Actually, that sound is a result of some pretty heavy noise reduction. It shows up especially if wearing headphones it seems.
No, i am a Math Professor myself but i have been watching him for years now, the reason that i do that is i try to see how other people teach and i take what i like from them then formulate it my way, add to it probably to come up with different ways of teaching. As for the Audi, I remember him saying that he drives an Audi which appeals to me cause at the Time he said it I drove an Audi myself.
Sold it :/ I regret that now, as it was the nicest/fastest car I've ever had. I bought another one two years ago, used for very cheap and it drives ok, but nothing like the last one. oh well :)
Professor Leonard , it seems like a strong correlation between being Mathematician snd Driving an Audi. Ioved my A4 very much at the time. Thanks for the excellent videos buddy, ur such a-great Teacher.
I am beginning to see what is hard about differential equations is that after Calculus 2 (integrals), I spent a semester on Calculus 3 (sequences and series) and a semester on Linear Algebra, so my integration skills are rusty.
Mmm they don't need to tell you. It's kinda obvious when you go further your curriculum in physics or engineering. But the professor usually tell students that calculus is the basics for upper engineering courses and physics
@Ace D. I'll assume you're referring to algebra not linear algebra. But if you can visualize 4-d vectors in Euclidean space and have good intuition on many of the rigorous proofs... then congratulations.
Thank you so much Professor Leonard.. i m very grateful to you for teaching me this. I would like to show gratitude by sharing notes on this lesson. drive.google.com/file/d/1A6B7CBltTBiYpnf6UbA7U1YkUHNOKzfE/view?usp=sharing many many greetings and I hope this notes will be helpful to many...
I got 26/50 marks in our sessional 1 in my university. Then i saw you and i fell in love with you :). You are great. I finally got 83/90 marks in our final exam of calculus.
*in love lool*
Same, first got 44/100 for calc 1, then after watching the videos i got 84/100 and i got 94/100 for other math subject earlier
Hi Professor Leonard, Im an applied Mathematics and computer science student all the way from South Africa. i dont know how this will come out on you, but from me its acknowledgement, your tutorials have really helped me a lot more especially in Calculus did all three classes and have managed to get myself distinctions, all thanks to you Prof, this semester im doing discrete maths and differential equations. im excited and glad to see that you still by my side i feel lucky, and God Bless you.
I love the way he explains thing and then relates it back to previous classes. He shows how everything ties together and I really appreciate it.
Finally, I know how they created these Equations of Motion in Phy1. You feel extremely happy when you get the big picture. I really appreciate it. Thanks a bunch.
They will teach you this in dynamics anw
"I'm me, so I'm gonna show you both ways..."
you really are awesome sir
I have nothing but love for you. Thank you very much for your help as I am self-studying for differentials next semester. Your hard work is appreciated and is very admirable. I hope you and your family are doing well during this break from RUclips. Whether you are coming back or not your impact will live on. 💗
Hi Professor Leonard,
I just wanted to say thank you for taking the time to prepare these lessons, and also teach them with the prose and clarity in which you do. I watched a handful of your calculus three lectures, mainly toward the end of your course on the three big theorems -- green's, stoke's, and divergence -- and you helped clarify them exponentially for me. My professor at a Big 10 Uni. taught them in a slightly different ordering than yourself, but your method of teaching the final chapter of calc 3 seemed to flow much more nicely.
Thanks again professor, and I hope you have a happy and safe new year
You are doing a great job. I have been following your for 5 years right now. I was looking forward to seeing the differential equations videos. A big thank you for that.
I am also wondering if you're going to do any linear algebra course any time soon.
Go Prof. Gilbert Strang
it's amazing to really see how physics and maths are so interconnected to each other. the equations of motions that we have learnt throughout our whole life were nothing but solutions to these diff. equations.
He gives you a good intuitive grasp of mathematics! It’s just what you need if you’re studying physics at degree level. Thank you!
Thank you for this elementary explanation. I’ve spent like the last two days trying to understand the relationship between boundary conditions and initial conditions. I’ve learned that when you solve a differential equation, you get natural initial conditions (like the x0 and v0 in the video) and they tell you the future state of the function. Thus, you can use said initial conditions to predict the boundary conditions, which for me is a better way to think about where boundary conditions come from. It also helps me understand why boundary conditions sometimes fail while initial conditions do not. It’s because sometimes certain curves are impossible for your differential equation, regardless of the initial conditions, so the boundary conditions make the equation inconsistent. Something like that. This video helped me gather my thoughts. Thanks again, Professor Leonard! 🙌🏽😁🎊
ruclips.net/video/XQIbn27dOjE/видео.html 💐👍
This is quite interesting ,back in high school i always learnt these "physics' formulas" by heart and now they all make sense , thanks for making these videos they are very educational even for people not taking a Dif Eq classl! :)
I’m just doing this for fun, and I love it so much! Thank you Prof!!!
Wow, these are awesome. Deriving Newton's laws of motion using differential equations. Hi from South Africa.
Defining gravity in Feet/s kills me in the inside
Physics beat it into my head that it is always meters/s^2 lol
lol. I'm american and I've never seen it defined it feet.
This man is king. What an incredibly thoughtful dude.
you are good, he breaks it down better than a lot of professors.
Best timing in the world with world's biggest biceps !!!!!!!!!!!!Physics prof just threw these at me today!!!!!!!!!!!! THANKS PROFESSOR LION
I would be lost without these videos.. thank you Professor Leonard!
Find the slope of his bicep
XD
Y=-x^2
0
Sin(X/3) from 0 to π
Please do Linear Algebra! You are an amazing instructor!
That's gold! Thank you so much for the detailed explanations of the relationship between a, v, x
ruclips.net/video/c3ZxJmPCL2g/видео.html 💐👍
East or west professor Leonard is the best !
You're a beast prof.
I’m in Geometric but I’ll still watch these videos 🤣💗🙏Thnaks Mr.Leonard
Thank God for such an awesome Professor. Maa Shaa Allah.
ruclips.net/video/XQIbn27dOjE/видео.html 💐👍
I don't know, but the second example seems to me to have some problems. you are taking (t+4) = u ,, after integrating, You get (1st term + 5u +C1). When you put the value of u, you get
[(1st term + 5(T+4)+C1], not 5t. If I am wrong, Please correct me.
The best teacher in the planète
Thancs so much
one of these days im gonna watch all of your videos.
Wow, now kinematic equations make sense!
Thanks for your efforts professor Leonard.
Best teacher!
nice effort professor leonardo ...
great very learnfull ❤
but miss those student noisee
@25:17 you should technically use C2 because C1 was used for velocity
Yep, I noticed that too. Good catch!
I just wanna let you know that you are awesome
ruclips.net/video/XQIbn27dOjE/видео.html 💐👍
Solid lecture as always!
I've used your videos for Calc 1,2, and 3. I'm getting through this now. I am realllllly hoping you're down to teach linear algebra
ruclips.net/video/XQIbn27dOjE/видео.html 💐👍
sir i have no word for your sincerity,last i say that I LOVE SIR ,continue ................till you have power to stand
Professor Leonard is the Jordan Peterson of youtube math Lectures.
In a(t)=1/sqrt(t+4) example, should not we have two values of constants c1 and c2 each? For c1 the sqrt of 4 can be +2 and -2, and similarly for C2.
ruclips.net/video/XQIbn27dOjE/видео.html 💐👍
I have heard that in some countries they consider sqrt (4)=±2 and I think that this just creates misunderstandings like that
In school, we can’t pause the discussion to analyze confusing parts but here, we can take our time to study each, at our own pace.
ruclips.net/video/XQIbn27dOjE/видео.html 💐👍
I noticed that the majority of these math channels stop at differential equations and don't continue up. Anyone like this or Sal Khan who lectures for real analysis or abstract algebra?
Footage you have to understand that the amount of people that take any sort of math after DE are so infinitesimally small
Well odds are if someone takes DE they might take intro to abstract algebra and real analysis to name a few.
AA Lecture
ruclips.net/channel/UCHFx_7rUZJjAgT4uUtXq2cw
You 're just LEGEND
ruclips.net/video/XQIbn27dOjE/видео.html 💐👍
How do we go about it when we are not given x (t) , please?
How do you integrate dx^2/dy^2 at minute 01:36?
integration of second drivative is the first drivative we mean dy/dx
This explanation its just amazing thank you LEGEND
ruclips.net/video/c3ZxJmPCL2g/видео.html 💐👍
I recently noticed that physicists rather use "speed" instead of "velocity" and say that speed is a scalar, while velocity is a vector that required a mentioned direction.
Even in publications by natives I see a lot of use of velocity. So what is the correct term?
Depends which one you mean. Speed is the velocity as a magnitude. Velocity is speed with direction, so it's a vector.
@@GoatzAreEpic but this is only halvely true. The definition I often read is that velocity is the distance from start to end point divided by the time, even if the position was further away at some point.
But even in texts by native scientists I read a lot about mean velocities. Which with the definition above does not make too much sense for a pendulum.
I study biomedical science
Why i watch math because =❤️
thank you, that was very very helpful, greatly appreciated ^^
God be pleased with you,İnşAllah,Amen🤲
How do I get the equation for velocity if the only given in the problem is the acceleration?
if the given acceleration is 64t^3. Should the equation of the velocity be V=16t^4+C?
how did minus one half become positive?
Is there a video for 2nd order linear equations for Mechanical and Electrical Vibrations? and Nonhomogenous Equation with Method of undetermined coefficients?
ruclips.net/video/XQIbn27dOjE/видео.html 💐👍
What information do you get if you integrate the position function?
ruclips.net/video/XQIbn27dOjE/видео.html 💐👍
You don't get anything. I don't know how to explain why though
why is the integral of t = -1/2t^2? Shouldn't it be 1/2t^2? nvm you corrected it later in the video
hahaah thanks for your comment i was wondering the same thing
position, acceleration, velocity, sin, cos
This is fantastic
ruclips.net/video/XQIbn27dOjE/видео.html 💐👍
Does anyone know where I can find practice problems that compliment these videos?
I want know give Me some tips
If we consider the initail velocity of something at t=0. Theorically that's not priciesly possible. According to clasic physics we can examine intantaneous spesific time at time=0.000001111 for example. Because deniminator of the unit of velocity can not be zero.
You can say inital velocity is constant. But not forget that it is dimensionally constant. "m/s"
Also my argumant is possible to entegreted for initail position. If we plug in x(t)=x0 at t=0 there is no any displacement. Theorically c2 also 0
Is darth Vader a student in that class or something??? Good god that’s some heavy breathing
hahaha, unfortunately no.... He'd be WAY to powerful in he learned Diff Eq! JK
Actually, that sound is a result of some pretty heavy noise reduction. It shows up especially if wearing headphones it seems.
Thanks Professor Leonard! It didn't impede my learning or anything, as always good work on the vid!
I had to pause it a few times to make sure it wasnt the sound of my husband snoring
Thank you
amazing
Cab you make a series on Partial differential equations?
ruclips.net/video/XQIbn27dOjE/видео.html 💐👍
I can't believe there were people who disliked the video. like what is wrong you.
If you like his videos so much donate to his patreon account,I did!
Please do Numerical Methods. Thank you
Waiting for him to realize he missed that (t) was killing me 😆
Hey professor Leonard, do u still drive that old Audi that u had few years ago? 😂😂. Just messing with u .
imad attallah Prof used to teach you?
No, i am a Math Professor myself but i have been watching him for years now, the reason that i do that is i try to see how other people teach and i take what i like from them then formulate it my way, add to it probably to come up with different ways of teaching. As for the Audi, I remember him saying that he drives an Audi which appeals to me cause at the Time he said it I drove an Audi myself.
Sold it :/ I regret that now, as it was the nicest/fastest car I've ever had. I bought another one two years ago, used for very cheap and it drives ok, but nothing like the last one. oh well :)
Professor Leonard , it seems like a strong correlation between being Mathematician snd Driving an Audi. Ioved my A4 very much at the time. Thanks for the excellent videos buddy, ur such a-great Teacher.
3:37 What's a more capital letter than capital G? cursive, capital G! lol
thanks
I am beginning to see what is hard about differential equations is that after Calculus 2 (integrals), I spent a semester on Calculus 3 (sequences and series) and a semester on Linear Algebra, so my integration skills are rusty.
Didn't u have to make double and/or triple integrals in Calc III?
Simiple intergration and ² od d²y/d²x=0 =simplified of x(t)=-2(5t)+c=-10(10) {²xt
Didn't know I needed Clark Kent for Calculus.
Brofessor, is it weird not having a camera shy class?
I kind of like it! I can go more in-depth, fewer distractions. But, I find that there is nobody to catch small mistakes that I might make.
Oh yeah. lol.
Well, I've just caught up, and I'm really digging this series.
Thank you!
so the whole damn physics formulas were derived from calculus? i wonder why none of our profs told us that
Mmm they don't need to tell you. It's kinda obvious when you go further your curriculum in physics or engineering. But the professor usually tell students that calculus is the basics for upper engineering courses and physics
@@alexgu8745 i truly agree :)
ruclips.net/video/XQIbn27dOjE/видео.html 💐👍
Who is here 2020
At 16:30 you forgot the T i believe
ruclips.net/video/XQIbn27dOjE/видео.html 💐👍
Famous professor，hahaha with 315 thousands students following
Holy shit Clark Kent?!
Everyone is sleeping on how buffed he is. Damn bro, weird flex but ok
*49 like prof, ur videos are altruistic*
OH MY MY
It's as shrimple as that🦐
Man, his biceps just make me unfocused. And I likely like women. :,D
Nice explanation but weak part is too much explanation of simple maters
Nth order differential equations are the worst. RIP if you don’t know linear algebra.
Right? L.A is hard in itself, but thank goodness for the 4x4 matrices right... right?
He said Linear Algebra. However, I always found Linear Algebra to be easier than Algebra.
@Ace D. I'll assume you're referring to algebra not linear algebra. But if you can visualize 4-d vectors in Euclidean space and have good intuition on many of the rigorous proofs... then congratulations.
I am graduating in 4 weeks! I don’t care!
Thank you so much Professor Leonard.. i m very grateful to you for teaching me this. I would like to show gratitude by sharing notes on this lesson.
drive.google.com/file/d/1A6B7CBltTBiYpnf6UbA7U1YkUHNOKzfE/view?usp=sharing
many many greetings and I hope this notes will be helpful to many...
thank you