professor Leonard, You are the best math teacher I have ever encountered. Maybe you should start a new channel where you teach other professors how to teach.
I go to Columbia, my teachers are nit interested in teaching. Most of them give us proofs that half the class doesn’t understand. Professor Leonard made Calc accessible to me.
@@lennybruce77 One of my teachers outright said "We'll revise C2 in C3, since many people are being taught by bad teachers". The ones he mentioned, are the ones who gives proof the class doesn't understand... Harsh.
Thanks!! Full understanding is truly what I strive for. I think that is what teaching should be.... NOT just "Covering material", but "Teaching material" until students UNDERSTAND. Just my philosophy of teaching.
My prof said “ to do partial derivatives, you need to treat it as one variable and treat other variables as constant” that was the only theory he explained. My prof gets salary 100k+ but really teaches me professor Leonard. I believe the end of classroom lectures era is around the corner.
Well probably one of the best anyway as math goes :) Yeh probably not since Einstein became a stubborn old man not wanting to listen to new theories and calculations from the newer generation at that time. Basically he did what he thought about the older generations he blamed when he was younger himself lmao
scientists like einstein are so far removed from learning this the first time, their level of abstraction is very high. it's why feynman's teaching was renown, he was one of the rare few to do both
You are the best math professor I have ever encountered. Your videos are still relevant in 2020 and will help many generations of students to come thank you for being an amazing professor. Wish everyone could be more like you.
Are there any podcast style interviews professor Leonard has done? Im very curious about this mans life and how he developed such an amazing ability to make understanding complex material so digestible. Like i need a JRE episode of this man lol. This guy has no doubt been the key for creating tens of thousands of engineers physicists and other stem related careers.
he explains in such a way that even a 9th grader can understand .....great lectures love you professor Leonard...watched his calculus 1 2 and now in 3 not even a single topic i didn't understand
It's not easy to grasp and re-learn math all over, after 25 years. Yes, that was when I last took Calc 2 and I truly believed I was going to struggle with Calc 3 because I didn't want to repeat Calc 2. But thank God for "Captain America", Prof. Leonard! 👍 Your lectures are SUPER thorough and easy (step-by-step) to understand as you explain each element of the topics. Thanks to my classmate, Abraham, for spreading the word about you. You saved my world, SUPERMAN!
One great thing about Professor Leonard is that he focuses a lot on example problems where the students are asked to participate; the whole structure where he explains the topic, then gives example problems and finally discusses the solution steps with the students is perfect.
Thanks to you Professor Leonard, I actually understand calculus and the ideas behind it. Words can not express how grateful I am for how you helped me and everyone else who watches these lectures. I constantly recommend you to my classmates who are taking calculus 3 with me right now, and it also helps me with my Electricity and Magnetism Theory 1 class right now as well. Thank you so much!
Your classes should be a must to prepare any student for their next calculus class. Yours is the best online calculus course ever!!. Thank you Professor for your teachings. God bless you.
I speed up 1,5 times faster and still understand every single words, every single exercises very clearly dear Mr. Leonard. My cal 3 teacher also teaches very fast and until now, I don't even know what he saying is really related to Calculus...
I have to admit, with the way he is committed to explain the actual meaning of everything he is teaching, he is starting to make maths beautiful again.
I've been watching his Calc. III videos to better prepare me for physics. I can tell I've already learned far more from him then I would from any professors at my college.
you are SO incredible. putting abstract, sometimes inaccessible math concepts totally within reach. this is the kind of understanding you should be able to get from every math professor!!!!
Thank You so much. It's hard to learn everything online in COVID season. There are so many questions I had regarding this topic, and you answered all of them.
sat in lecture for 50 minutes and didn't learn anything. sat here for 30 and understood it completely. the reason behind a formula is so important. thank you so much!
You are my GOAT, every exam i've aced in uni calc is dedicated to you! You shall be remembered when i finally graduate, it's actually impressive how your classes get me worked up about the things i don't care about in class. Love ya!
My professor just taught me this but you taught me how much they didn't teach me. Thank you so much! I tried my homework, got frustrated that I didn't know what I was doing, watched your video, and zoomed through two whole sections. Suggestion for the future, although I haven't looked to see if you have it posted anyhwere: let us know what book you're using? It's easier for me to line up your lectures with where I'm at in Calc III if I can line up topics. You are truly gifted! Thanks for giving us such a wonderful, and free, resource.
Professor has got an attitude of captain @defense ! Failure of merely one student to understand the concept is just failure of the him! He doesn't even move further until each and every student has got the perfect intuition on the topic. Hats off superman . I'm an Indian from down South Telugu state , we hardly hardly hardly find a professor like u in India, without you, I'm nothing at calculus. U r the best best best .
thank you so much, my current teacher for calc 3 never shows complex examples nor explains the idea behind concepts and only gives us formulas. without you I'd definitely be failing, you are by far the best professor I've ever seen before.
I hope and i really hope Professor Leonard this comment "you are the reason i got my confidence back in uni" This videos meant a lot to me THANK YOU so much
@@fkncompton7124 my school taught 13.3, 13.4, and 13.5 all in one lecture (1hr 45min). and we still behind schedule even tho we almost always cover 2-3 sections in one lecture, twice a week.
Really wish you were my lecturer! Just a suggestion some major topic review videos of calc 1/2/3 for final exams would be incredibly helpful in the future.
I watched this series before starting the course at Berkeley. Revisiting this section of your lectures since I didn’t have a deep understanding from my class’s lectures. Amazing how much this is making clear tome now.
Professor Leonard, thank you for another great video/lecture on Partial Derivatives in Calculus Three. This topic is easy to follow and understand from top to bottom. All students watching this video, should master this topic with massive problem solving.
Thank you, thank you, thank you so much for this video! I don't get why is it so hard for a lecturer to bring a balloon and a marker to a lecture. Knowing what's going on behind the scenes helps to understand partial derivatives much better.
I just tried using partial derivatives to find 2 parametric lines that touched a point on a 3D paraboloid, and I managed to use those lines to find a tangent plane to that point. That was awesome - definitely a good problem to have on a test, in case any Calculus 3 teachers out there are currently thinking of some problems to use. 8-)
Prof Leonard: “you need to get it”. My professor : “you don’t have to get it just memorize it” 🤦♀️ this is why I am getting all my info from Prof L. Best math professor ever 🤩
Thank you so much for doing this. I'm going through the tail end of calc3 and I wanted to cry because I wasn't retaining or understanding things. These helped give me hope and good grades! (made a 92 on the last exam :D )
professor I like the way u proceed lecture . it is pretty easy to understand. I really enjoy them a lot......Thank you very much for calculus...........
Ive crammed so many of these videos in the past 3 days his face feels more familiar than my mom's.
Yeah feeling same 😅
he is your mom
professor Leonard, You are the best math teacher I have ever encountered. Maybe you should start a new channel where you teach other professors how to teach.
loooooooooooooooooooooooooooooooooooooool!!!!!!!!
I go to Columbia, my teachers are nit interested in teaching. Most of them give us proofs that half the class doesn’t understand. Professor Leonard made Calc accessible to me.
Well said.
@@lennybruce77 One of my teachers outright said "We'll revise C2 in C3, since many people are being taught by bad teachers".
The ones he mentioned, are the ones who gives proof the class doesn't understand...
Harsh.
Lenny Ciotti I have the exact same problem, I’m taking calc 3 at Columbia right now as well
That moment when you wish you started watching these videos from the beginning of the semester not now two days before the exam ...
literally me rn lol
Im watching it all BEFORE the semester lol
Im watching BEFORE the semester lol
Nerds detected :3
Truth lol was just thinking the exact same thing 😂 lesson for next semester I guess 😆
Professor Leonard.. Raising the bar in the classroom and the gym!
i feel like he gets slightly more buff with every video
Aedan Valle my dude just gonna be one huge arm with a marker when he starts posting vids again
What kinda fuckin name is Moogy
Ex,Partial Derivatives 40:20
Implicit Derivatives 1:16:16
Higher Derivatives 1:40:24
you're amazing
Bless
shukran
@@Fahodinho shokran* yasta
@بطل ماتين2 brilliant
-What does a derivative mean in Multivariable Calculus? (0:00-28:10)
-"Formal" definition of the Partial Derivative/Notation/Extra Notes(28:10-40:39)
-Ex:1 (40:39 - 49:09)
-Ex:2 (49:09 - 52:01)
-Ex:3 (52:01 - 58:23)
-Ex:4 (58:23 - 1:01:23)
-Ex:5 (1:01:23 - 1:05:19)
-Ex:6 ( 1:05:19 - 1:08:41)
-Ex:7 (1:08:41 - 1:15:07)
-Implicit Derivatives with "z" as the implicitly defined variable. (1:15:07 - 1:17:13)
-Ex:8 (1:17:13 - 1:31:20)
-Ex:9 ( 1:31:20 - 1:39:35)
-Higher Order Derivatives (1:39:35 -1:45:04)
-Ex:10 (1:45:04 - 1:51:23)
-Ex:11(1:51:23 - 1:58:29)
-Mix Partial Derivatives (1:58:29 - 2:00:08)
-Ex:12(2:00:08 - 2:05:45)
-Ex:13(2:05:45 - 2:16:34)
- What is a Laplace Equation/Applications (2:16:34 - 2:18:34)
-Ex:14 *human skin surface area word problem relating to partial derivatives/side notes(2:18:34 - 2:28:52)
❤❤ thanks, dhanyabad
saved one week of my life ❤
I need to give this man a hug. He is singlehandedly giving me hope for this exam. Thank you, professor Leonard.
"In Leonard We Trust"
"Shall We No Fail"
Goatnard
I shall reiterate: YOU ARE FV
Thanks!! Full understanding is truly what I strive for. I think that is what teaching should be.... NOT just "Covering material", but "Teaching material" until students UNDERSTAND. Just my philosophy of teaching.
and am now enjoying Maths ever in my life, Big Thanx to you Prof Leonard
@@ProfessorLeonard ❤❤
It's called Chiraq now. Otherwise, strongly agree. The attention to detail on this channel is 10/10.
"You need the chain rule for everything you do in life... ever"
- Professor Leonard
Second batch of T shirts right there.
TIMESTAMPS
-What does a derivative mean in Multivariable Calculus? (0:00-28:10)
-"Formal" definition of the Partial Derivative/Notation/Extra Notes(28:10-40:39)
-Ex:1 (40:39 - 49:09)
-Ex:2 (49:09 - 52:01)
-Ex:3 (52:01 - 58:23)
-Ex:4 (58:23 - 1:01:23)
-Ex:5 (1:01:23 - 1:05:19)
-Ex:6 ( 1:05:19 - 1:08:41)
-Ex:7 (1:08:41 - 1:15:07)
-Implicit Derivatives with "z" as the implicitly defined variable. (1:15:07 - 1:17:13)
-Ex:8 (1:17:13 - 1:31:20)
-Ex:9 ( 1:31:20 - 1:39:35)
-Higher Order Derivatives (1:39:35 -1:45:04)
-Ex:10 (1:45:04 - 1:51:23)
-Ex:11(1:51:23 - 1:58:29)
-Mix Partial Derivatives (1:58:29 - 2:00:08)
-Ex:12(2:00:08 - 2:05:45)
-Ex:13(2:05:45 - 2:16:34)
- What is a Laplace Equation/Applications (2:16:34 - 2:18:34)
-Ex:14 *human skin surface area word problem relating to partial derivatives/side notes(2:18:34 - 2:28:52)
Thanks man I was here only for partial derivatives , and I was surprised when I saw him explaining implicit derivatives😂 i was like see you
My prof said “ to do partial derivatives, you need to treat it as one variable and treat other variables as constant” that was the only theory he explained. My prof gets salary 100k+ but really teaches me professor Leonard. I believe the end of classroom lectures era is around the corner.
i mean wow you kinda predicted the future of zoom classes lol
its 2024. Still in clssrooms lol
I think even Einsten wouldn't have explained it this simply. You are the best teacher in the world thank you sir.
Well probably one of the best anyway as math goes :)
Yeh probably not since Einstein became a stubborn old man not wanting to listen to new theories and calculations from the newer generation at that time.
Basically he did what he thought about the older generations he blamed when he was younger himself lmao
scientists like einstein are so far removed from learning this the first time, their level of abstraction is very high. it's why feynman's teaching was renown, he was one of the rare few to do both
You are the best math professor I have ever encountered. Your videos are still relevant in 2020 and will help many generations of students to come thank you for being an amazing professor. Wish everyone could be more like you.
Are there any podcast style interviews professor Leonard has done? Im very curious about this mans life and how he developed such an amazing ability to make understanding complex material so digestible. Like i need a JRE episode of this man lol. This guy has no doubt been the key for creating tens of thousands of engineers physicists and other stem related careers.
he explains in such a way that even a 9th grader can understand .....great lectures love you professor Leonard...watched his calculus 1 2 and now in 3 not even a single topic i didn't understand
Billion times better than my Calc 3 professor smh.
I wish I was one of your students .
your teaching is awesome keep up 👏👍
It's not easy to grasp and re-learn math all over, after 25 years. Yes, that was when I last took Calc 2 and I truly believed I was going to struggle with Calc 3 because I didn't want to repeat Calc 2. But thank God for "Captain America", Prof. Leonard! 👍 Your lectures are SUPER thorough and easy (step-by-step) to understand as you explain each element of the topics. Thanks to my classmate, Abraham, for spreading the word about you. You saved my world, SUPERMAN!
Superman dresses as Captain America!
He opens with " you shouldn't be doing this stuff if you don't know what it means". Solution to our educational system right there.
One great thing about Professor Leonard is that he focuses a lot on example problems where the students are asked to participate;
the whole structure where he explains the topic, then gives example problems and finally discusses the solution steps with the students is perfect.
I am a fond of mathematics and I have seen no one like you in my entire life professor..... Thumbs up!
Thank you!
Not all heroes wear capes
But most are buff
some wear captain america’s t shirt
Mine wears glasses and has buff arms
@@sparshverma3429fr😅
Thanks to you Professor Leonard, I actually understand calculus and the ideas behind it. Words can not express how grateful I am for how you helped me and everyone else who watches these lectures. I constantly recommend you to my classmates who are taking calculus 3 with me right now, and it also helps me with my Electricity and Magnetism Theory 1 class right now as well. Thank you so much!
Your classes should be a must to prepare any student for their next calculus class. Yours is the best online calculus course ever!!. Thank you Professor for your teachings. God bless you.
If only I could like this a thousand times
I speed up 1,5 times faster and still understand every single words, every single exercises very clearly dear Mr. Leonard. My cal 3 teacher also teaches very fast and until now, I don't even know what he saying is really related to Calculus...
I have to admit, with the way he is committed to explain the actual meaning of everything he is teaching, he is starting to make maths beautiful again.
Professor Leonard, I think you wrote "a person weighing 70 'km' instead of 'kg' ".....lol.
Your explanation makes calculus so easy to understand!!
I've been watching his Calc. III videos to better prepare me for physics. I can tell I've already learned far more from him then I would from any professors at my college.
Hats off, Prof. Hats off to you.
I continue to be amazed that a person like you exists in this world!!!
you are SO incredible. putting abstract, sometimes inaccessible math concepts totally within reach. this is the kind of understanding you should be able to get from every math professor!!!!
Thank You so much. It's hard to learn everything online in COVID season. There are so many questions I had regarding this topic, and you answered all of them.
Glad it was helpful!
sat in lecture for 50 minutes and didn't learn anything. sat here for 30 and understood it completely. the reason behind a formula is so important. thank you so much!
You are my GOAT, every exam i've aced in uni calc is dedicated to you! You shall be remembered when i finally graduate, it's actually impressive how your classes get me worked up about the things i don't care about in class. Love ya!
professor should open a TEACHERS TRAINING ACADEMY, and all professors gotta be certified from there before moving to a professional university
Our teacher did not give us the information about partial derivative as you did you're always the best thanks
Every time I learn from you Professor Leonard, I smile. Because I am happy when I understand math
My professor just taught me this but you taught me how much they didn't teach me. Thank you so much! I tried my homework, got frustrated that I didn't know what I was doing, watched your video, and zoomed through two whole sections.
Suggestion for the future, although I haven't looked to see if you have it posted anyhwere: let us know what book you're using? It's easier for me to line up your lectures with where I'm at in Calc III if I can line up topics.
You are truly gifted! Thanks for giving us such a wonderful, and free, resource.
Man, i watched many of your videos and you help me a lot with maths in university, your are a pedagogical genious. Greeting from Argentina.
Professor has got an attitude of captain @defense ! Failure of merely one student to understand the concept is just failure of the him! He doesn't even move further until each and every student has got the perfect intuition on the topic. Hats off superman .
I'm an Indian from down South Telugu state , we hardly hardly hardly find a professor like u in India, without you, I'm nothing at calculus. U r the best best best .
That captain America shirt embodies the true hero that you are saving me one video at a time . THE GOATTTT LEONARD ! LONG LIVE HIS LECTURES
I loved how Professor Leonard kept the blank in the word problem to make that joke what a legend. Immaculate explanation as always
i spent my entire semester so far fearing getting up to here and this dude just made this one of the easiest concepts in calc 3
thank you so much, my current teacher for calc 3 never shows complex examples nor explains the idea behind concepts and only gives us formulas. without you I'd definitely be failing, you are by far the best professor I've ever seen before.
THE BEST MATHS TUTOR EVER.....👍
Wow Wow Wow. I have never been taught like this. Thanks for your Lectures @Prof Leonardo. You have made the beautiful math even more beautiful.
I hope and i really hope Professor Leonard this comment "you are the reason i got my confidence back in uni" This videos meant a lot to me THANK YOU so much
Its admirable how much effort he puts into making sure everyone understands the concepts and not leave anyone behind
First 40 min is so rich with the conceptual idea of partial derivatives! I love it!
Been stuck for a minute on this stuff. Your vid gave me that "ah-ha" moment I needed.
how does he have so much time to cover each material? Our professor spend about a quarter of the time that prof leonard does
on each subject
Exactly, we spent an hour on this section last week.
hundle98 this class is typically 2.5 hrs long. Your school must be doing it wrong
@@fkncompton7124 my school taught 13.3, 13.4, and 13.5 all in one lecture (1hr 45min). and we still behind schedule even tho we almost always cover 2-3 sections in one lecture, twice a week.
My new quarantine professor! What an upgrade. Awesome teaching thanks
Really wish you were my lecturer! Just a suggestion some major topic review videos of calc 1/2/3 for final exams would be incredibly helpful in the future.
Thank you a lot. My teacher didn't teach this concept to us in class in depth at all. Glad i can find someone reliable to turn to for help.
Professor Leonard: You are an amazing instructor. You have what it takes.
I'm from Pakistan, I really loved your lectures and way of teach .I'm just a big fan of you
I just started to watch professor Leonard lectures after I failed my first quiz in very well known University and I will come and report after final.
Best of luck in the course, I know that you can bounce back!
Hi Asnake :) tesakalh?
Thanks professor yes with the help of lectures I passed it with B. Thanks again.
@@emt4921 yes tesaktual.
Congrats :)
I watched this series before starting the course at Berkeley. Revisiting this section of your lectures since I didn’t have a deep understanding from my class’s lectures. Amazing how much this is making clear tome now.
sir i am a stu dent of on of the best college of india but i hadn"t got the maths teacher like u thanku sooo much for ur effort.
I hope I bump into you at an airport one day and convey to you what an absolute rock-star you are, Prof. Leonard!
I swear Professor Leonars deserves my teachers paycheck.. ALL OF IT!!
Professor Leonard, thank you for another great video/lecture on Partial Derivatives in Calculus Three. This topic is easy to follow and understand from top to bottom. All students watching this video, should master this topic with massive problem solving.
FANTASTIC! (Prof. Leonard is a master of Mixed Partial Arts...)
This video is incredible. As an econ student, that human surface area question was perfect. As well as the little mention about labor and capital.
He is simply the best teacher ever! The first time in my life I enjoy slow speed learning
HE IS SO SMART TO EXPLAIN THE PARTRICAL DERIVATIVES BY A BALLON.
lecturing about partial derivatives for 2 1/2 hours straight. Amazing!
Diff Eq's pleaaase professor leonard :D
Absolute legend is what you are
There is no big teacher other than leanord on you tube,,, I love leanord teaching style and there jokes,,,
1:52:38
"I'd be so happy if you get this. It will make my heart just flutter."
Sir tens of thousands of people got this ; not only your class. Thanks!
You are simply amazing , as an econ major , It makes a huge difference to understand the idea behind mathematics !
I love Professor Leonard. The best math tutor ever.
Thank you, thank you, thank you so much for this video! I don't get why is it so hard for a lecturer to bring a balloon and a marker to a lecture. Knowing what's going on behind the scenes helps to understand partial derivatives much better.
crazy how much more i learn here than in class, we owe this man so much. for now though heres a like and a sub
You probably won't see this comment but I missed one calc 2 lecture and this video made up for it tenfold. Thanks!!!
I just tried using partial derivatives to find 2 parametric lines that touched a point on a 3D paraboloid, and I managed to use those lines to find a tangent plane to that point.
That was awesome - definitely a good problem to have on a test, in case any Calculus 3 teachers out there are currently thinking of some problems to use. 8-)
Prof Leonard: “you need to get it”. My professor : “you don’t have to get it just memorize it” 🤦♀️ this is why I am getting all my info from Prof L. Best math professor ever 🤩
with you professor Leonard I never get less than 90% in maths, thank you very much....
Sir you are intellectual keep up the sevices...i ever understand the concept of p.derivative
understanding concepts was never this easy , all thx to professor leonard
Dear Professor Leonard, Your calculus videos are amazing. Thank you. Looking forward to your merchandise.
Thank you so much for doing this. I'm going through the tail end of calc3 and I wanted to cry because I wasn't retaining or understanding things. These helped give me hope and good grades! (made a 92 on the last exam :D )
Good Job!!!
professor I like the way u proceed lecture . it is pretty easy to understand. I really enjoy them a lot......Thank you very much for calculus...........
Thanks Doctor Leonard you have helped me from the hand of these horrific part of mathematics.
I can now do it simply and confidently.
professor Arnold is my immortal hero
You are such an amazing ❤️❣️
May you long live with happy life
Oh my god you are an amazing teacher. Thank you for making math fun again.
Finally i can find the slope of a tangent line to a surface in another dimension, can't wait to put it into practise.
when I get a job after I graduate I will support you I promise you
Ohhhh that's why we hold the y or x constant. I come here for the theory explanation. You've got the best theory explanation thank you
I am so satisfy and happy because of you
Love you alooot 😘😘😘😍
And continue your work
the best teacher ever , he is universal school
U doin great job Professor Leonard!
You are the best professor I've ever seen
you are the best teacher in my whole life !! god bless u prof. leonard
You are a wonderful teacher like Walter Lewin. You are Walter Lewin of mathematics
When do we begin cloning Professor Leonard? My go-to maths guy!
Professor Leonard, Thank you so much. You really made this all simpler and understandable way better than my lecturer. Thanks a lot.. 🇳🇬