I think he's in the first season of Altered Carbon (Joel Kinnaman)
@obayrafi26326 жыл бұрын
No matter how much i search for it You are the only teacher i can understand calculus to Even tho im not a native english
@Peter_19865 жыл бұрын
One great thing about Professor Leonard is that he always gives several straightforward example problems fairly early. Most of my math teachers have stood and rambled on forever about proofs and theorems and confusing crap, and then they MIGHT have given one example problem - and it was always a very long, tedious problem, every single goddamn time.
@parinpatel5719 Жыл бұрын
Though I understand your pain, you should also be thanking your teachers. Many students dislike math because they don't know why they're doing it or where it comes from. Many teachers only give several examples and call it a day. When learning math, it's always important to know the derviation of the formulas you learn, and why certain concepts are the way they are. Any college student here would perhaps agree on this.
@pedrosantana3283 Жыл бұрын
@@parinpatel5719 That's only useful when we can understand the proofs, and even then they're only really good for math majors. Professor leonard makes it clear what to do with it as a tool, and that's what engineers see math as.
@thomasjefferson6225 Жыл бұрын
@@pedrosantana3283 Leonard shows the derivation through his lectures. He spent an entire video explaining what exact solutions are and how they're derviaived. So I think hes a perfect blend of teaching theory and giving examples. Blessed we are to have this resource. I cannot find anything of this quality for real analysis or theoretical optimization. Im scared to attack abstract algebra and topology, since there isnt a professor leonard for those subjects... honestly.
@hamzakharmaz662711 ай бұрын
he is literally teaching me and give me motivation after the video to go gym. who needs more than that?
@Nic-of1sr3 жыл бұрын
The main thing I got from this video "When you get angry at your math, it's ok. Walk away, take a break and come back to it later." I felt this.
@sohaibabbasi33553 жыл бұрын
Same but I never come back
@nick_hf4 жыл бұрын
[ASMR] Swole smart math boyfriend puts you to sleep while giving you a lecture about Homogeneous First Order Differential Equations.
@isabellouise81644 жыл бұрын
hahahahahahahahahahah :'D
@geezeeelgee3 жыл бұрын
BHAHABAHAHHA PLZ-
@roeal-wazeer31352 жыл бұрын
LMFAOOOO
@Spooly_5 жыл бұрын
Man this is so much simpler and more understandable than the way I was taught in class. I went from tearing my hair out, to solving these problems rather quickly. Thanks Leonard. ps As an extra benefit I find myself not just more motivated to do math but also to hit the gym, I wonder why that is.
@wilsonnarea53782 жыл бұрын
Gym lectures
@zaeemattique70862 жыл бұрын
Yep, I'm still waiting for this guy to drop his training routine
@NeverendingAbyss6 жыл бұрын
Thank you for warning us about anger! This is the first math class that I really was infuriated by it. I'll take your advice and take a break when I feel angry. :)
@vaughnmonkey4 жыл бұрын
ya I'm glad he said it too because my professor for this course seems to enjoy us getting frustrated and angry. He actively pursues it and without Professor Leonard I would have given up on this class by now.
@amjad63615 жыл бұрын
You deserve to pause my AdBlocker for you, you are a great man!
@elijahachiekpanchol27725 жыл бұрын
your teaching approach is so unique and wonderful. the last time I check no mathematics teacher would make this topic as easier has you have made it. I am so grateful professor keep doing this Good work for the world.
@ccutler41594 ай бұрын
At 36:55 I did the same technique but using property of square roots then exponents. Right away, I noticed \sqrt{xy}=\sqrt{x}\sqrt{y} since it was all over x I then used the property of exponents to simplify. Super cool to see how different brains process and think when working through problems. I am almost done with my BS in Pure math just going back to previous classes to not lose the skills. Thank you so much!
@KK-od2vy5 жыл бұрын
I can't thank you enough for explaining things step by step. I wish all teachers were like you!
@eipiplusone37915 жыл бұрын
Then all the gyms in the world would be constantly crowded.
@KK-od2vy5 жыл бұрын
eipi plusone lol you what I mean. I am talking about his teaching strategies here.
@shadydesu6 жыл бұрын
the gains on this math lad
@jennifermobley1440 Жыл бұрын
I think every professor should tell their students your speech about getting angry. I have noticed time and time again when I get angry, I am no longer taking in any information. I have to walk away!!! Thank you for always being so awesome Professor Leonard. I wish you'd come back and make more videos. I really could have used your help with Eulers method and then the improved Eulers method!
@j.o.s.h.o2 жыл бұрын
dont even attend lectures in uni for diff. eqs. just watch these videos. Thank you so much for them!
@douggwyn96566 жыл бұрын
Thanks especially for the final segment concerning domain restrictions. It's not just nit-picking; over the years I've seen many practical cases where lack of attention to this detail have produced incorrect or incomplete results.
@ProfessorLeonard6 жыл бұрын
Absolutely, and I'm glad you enjoyed it. Lately, I've been of the mind to get the technique understood first and then, once that's mastered, to explain the finer points of what's really going on "behind the scenes" so to speak. Students seem to grasp the domain restrictions better once they have mastered what they are actually doing and why the are doing it. Thanks for watching!
@douggwyn96566 жыл бұрын
Your approach does seem like the most effective plan. Even a quick mention early on that there are details to be examined later is enough to damp down a tendency to ignore them. Thanks again!
@3426-y2t3 жыл бұрын
i spent hours trying to understand the book but you made it better
@julietgenshin51935 жыл бұрын
Thank you always professor, always love the pep talks too ❤️❤️
@mikehughes6582 Жыл бұрын
I'll bet his classes fill quickly. He's the best I've seen.
@oneofyk5 жыл бұрын
Thank you professor. This lesson helped a lot.
@rababalnajjar31703 жыл бұрын
Finally I understood. Thank you so much professor Leonard :)
@mariamsal85312 жыл бұрын
Sir ...God bless you and keep you, may He make his face shine upon you and your family.
@jessieshepard77893 жыл бұрын
come teach at CSU PLEASE!!! my professor is so hard to follow that I watch your videos during class time rather than go to class and I gain SOOO much more comprehension. THANKYOU!!!
@SakeKaama2 жыл бұрын
You're a wonderful online lecturer, which is hard to do. Thanks for teaching me DE Professor Leonard
@bunkydunk7500 Жыл бұрын
Wow this was so clear and helpful! I am very grateful for this excellent video!!!!
@jstadler4176 жыл бұрын
Thanks for another great lecture, Professor Leonard!
@lorenzomenegol64616 жыл бұрын
Jesus christ, those mathematical arms 😍
@user-rj7cq1cy8b4 жыл бұрын
😂😂
@geezeeelgee3 жыл бұрын
i laughed way too hard at this
@sohaibabbasi33553 жыл бұрын
Looool
@mishaivanov205 Жыл бұрын
love this guy so much. I always feel dumb in my math lectures because all these professors have nothing on leonard... This is what education looks like^^
@faismasterx3 жыл бұрын
These examples are so neat and tidy compared to the monsters we used to get on exams.
@lindseytreweek87713 жыл бұрын
Your reminder to not get angry about math (around minute 15) came at a perfect time!! :) Thank you!
@bossrollup6920 Жыл бұрын
This channel may have saved me this semester, also why is no one commenting on how absolutely YOKED this man is?
@danialdunson3 жыл бұрын
Leonard looking jacked. Never thought i'd still be watching you after 4 years of college
@johnholme783 Жыл бұрын
Elegant solution! So simple yet so useful! Thank you!
@rorymackinnon6133 Жыл бұрын
We need more people like you
@jeffreymoses7131 Жыл бұрын
This guy was sent from the heavens
@rudnam2 жыл бұрын
44:34 wow just when i was wondering if i skipped something or was at the wrong video a problem very similar to the one on my hw shows up lol, you're a god
@Salamanca-joro18 күн бұрын
14:17 i have this problem with programming , thanks for the advice
@Lestibournes4 жыл бұрын
You can have a square root of 0 (which gives you 0). The only problem is with a square root of a negative number. Therefor you do need both x != 0 and xy >= 0.
@MartialJus8 ай бұрын
Wow Just simplified this problem for me... Never understood this in class 😊
@robert_redd15284 жыл бұрын
professor leonard is a total mmath guru
@anirudhkundu7225 жыл бұрын
when i listen to it in class, i think im the fish out of the sea. Here after watching i think i know kungfu
@michaeljjan63446 жыл бұрын
For 1:05:08, you talk about domain. When you say x*y>0, why can't y=0?????
@Exoudar3 жыл бұрын
Hey professor, First, I would like to thank you for teaching us. Second, I have only one problem with this method (I know I am the problem, not you). For example, the following problem is really difficult to solve using the method I learned from you. Or maybe I am doing something wrong? But when I searched for a solution, all the solutions I have found are using different methods for the specific problem I am facing. x dx + (y -2x) dy = 0 Would love to be able to solve it using the method I learned from you.
@meesumali42783 жыл бұрын
I got you , you are superman no more hiding clark
@flyingvelociraptor25 жыл бұрын
Every video, this man keeps getting buffer. Soon he will be the hulk
@vaughnmonkey4 жыл бұрын
I don't understand how you can do that x into the square root of x^2? why is that allowed?
@mesh97__5 жыл бұрын
man .. you are the best proff I ever seen :} for real..
@Ssm1949414 күн бұрын
feels good when you can do example 2 in 15 seconds and 8 lines of math
@johnorangez25085 жыл бұрын
To my book this is art not math ! Thanks professor!!!
@elevated__arts6 жыл бұрын
Do you work out, Professor?
@jayrocapela6 жыл бұрын
*brofessor
@ElNietoPR5 жыл бұрын
Dominik B nah, he got that body by finding limits.
@Jay_GTR4 жыл бұрын
El Nieto PR lmao 😂
@ayeshaali39903 жыл бұрын
@@ElNietoPR lol
@lanimulrepus9 ай бұрын
Blast from the past! 😎
@oak66774 жыл бұрын
the way he points those 'little' details(like (x^2)^0.5 makes me really think deeply about math....thank you Professor!
@p27kushagra4 жыл бұрын
I like it when Henry Cavill is teaching me.
@ClabClab Жыл бұрын
you are a godsend.
@theinquiringengineer5 жыл бұрын
This dude looking like a smart Jonny Bravo
@schloshyjea14 жыл бұрын
Oh my gosh. Spot on.
@faismasterx3 жыл бұрын
Johnny Bravo's smarter younger brother.
@maldova5 жыл бұрын
Those biceps are out of this world
@Khronos_Aion4 жыл бұрын
@ 17:10 when he says "is it linear ----- NO... kills me every single time
@wqewqe13504 жыл бұрын
You saved my marks❤️❤️
@VectorSpace334 ай бұрын
PLEASE HELP ME UNDERSTAND. Why is his definition of Homogenous D.E. different than everyone else's. That definition being f(tx,ty) = f(x,y).
@CurryMuncher216 күн бұрын
I belive both definitions are equivalent
@nazifataha88685 жыл бұрын
Nothing compares to your ways of teaching love it!
@markzho5 жыл бұрын
Thank you for showing all the steps! I greatly appreciate it.
@lorenapadilla19125 жыл бұрын
I love him
@Jessica-hl4mo4 жыл бұрын
You’re the best!
@isaakdaniel14224 жыл бұрын
At 53:00 Im a little confused with that split professor. Isn’t it ilegal to separate it since there’s more than one term in the denominator?
@walijamali94762 жыл бұрын
I am confused. My teacher told me when I was doing the question x-y/x+y that the numerator and denominator have the same power, hence it's a homogeneous equation. Can anyone plz tell me if this approach is correct?
@CurryMuncher216 күн бұрын
I would divide numerator and denominator by x
@j.o.s.h.o2 жыл бұрын
At 55:00 would it be wrong if you accidentally left the absolute value lines? Don't think it would really affect things, but can anyone confirm?
@hrithicksen36445 жыл бұрын
Man, what pen do you use? I wanna get bulky arms too 😯
@jheybrent5 жыл бұрын
Why does the derivative of y=vx is dy=vdx+xdv in our book(dx is included). Tried solving the first problem with same approach on our book but i cant get it. Welp
@pedrolotti452 жыл бұрын
thanks from Brasil
@jevcampbell23013 жыл бұрын
I swear You are the best... You and PatrickJMT are the only reason I see a light at the end of this tunnel...
@oak66774 жыл бұрын
1:03:43 but y could be zero so shouldn't we have the restrictions xy>0 n xy=0 n x not equal to 0 ?
@wildchild11614 жыл бұрын
When we are creating the y/x substitution don't we have the potential to be dividing by zero ? If how do we handle it ? just say x cannot = 0 ?
@seemasood38406 жыл бұрын
sir please discuss linear programming in your future video lectures and also linear regression.
@rainbowburritoguy3 жыл бұрын
Hello Professor Leonard, I know I'm late to the party, but I was wondering why you didn't completely solve for y (left it as y^2) during the first homogeneous example (somewhere around 33:00). If anyone wants to tune in and provide an explanation it would be greatly appreciated.
@f-22raptor253 жыл бұрын
square root would make it + and -; we dont know if its positive or negative. Leaving it as y^2 is better when you have no values. He also kinda explains it 32:28
@LittleJoyous Жыл бұрын
It's implicit
@garyge32044 жыл бұрын
Man if my math professor is buff like him id prolly get A for all my midterms.
@Mohd_ao11 ай бұрын
شكرا لك
@kvnagendra53546 жыл бұрын
*127 likes without a single dislike...... U deserve it*
@mimihoeller92134 жыл бұрын
for the second example problem, can you use a substitution v = y-x?
@monkeydrums15 жыл бұрын
Best explanation out there, absolute life saver
@DittyWolf4 жыл бұрын
What are you supposed to do if you get dv +v? How do you solve this.
@theoendre64845 жыл бұрын
Superb lecture!
@saisanjithkakkireni20413 жыл бұрын
Thank You
@mickwellhamakoma48543 жыл бұрын
professor it was awesome.
@himnishchopra62044 жыл бұрын
thank you for the video sir
@hilariousharry18906 жыл бұрын
professor would be great if you please start a trig series too!
@sorrello63283 жыл бұрын
good help here!
@trulylive99815 ай бұрын
Professor Swole
@hamza_ME_4 жыл бұрын
If power of x and y and the term xy is same in nominator and the denominator, it will be homogenous equation.
@zb5775 Жыл бұрын
A major zoo reported that a couple of their massive pythons were missing. Seeing Professor Leonard's arms and biceps, it is obvious where those pythons are hiding.
@ahmadkarim11442 жыл бұрын
my man you are built like a brick house, thanks for the lesson too
@joeforshaw83626 жыл бұрын
Another great lecture... teaching new things while doing a nice Calc II integration review.
@hoomanyaghoubi52934 жыл бұрын
thank you so much
@leeprimeroessler32773 жыл бұрын
1:04:20 About domain issues, should we not also include y/x != 1?
@leeprimeroessler32773 жыл бұрын
And one minute later, I realized that it is given by the x-y != 0. Always nice when I answer my own questions on youtube. No one else ever does it:-)
@omiorahman62834 жыл бұрын
Thank you sir
@JB-in4dj4 жыл бұрын
There is a homogenous diffy q that is dy/dx =x+y that is very difficult to rewrite in that form. Do you have any examples of how to do that?
@hansvangiessen839511 ай бұрын
just a linear DE: y' - y = x
@ZackSussmanMusic5 жыл бұрын
thank you so much you made this make sense!
@joobokjung6 жыл бұрын
Do you even lift professor?
@MBULELo875 жыл бұрын
clark Kent always does it or me ...from south africa
@yashkapoor58944 жыл бұрын
had no clue wtf these homogenous equations were before I watched your video. Thank you! P.S. I literally watched 3 other vids and still had no clue wtf was going on.