I've heard people saying that this guy's videos are so engaging that they raise their hands up whenever he asks us if we understand. I thought that was cap until today. Caught me slipping; I raised my hand up like 3 times damn. GOAT talk.
Maths can be so frustrating when you have a lecturer that just doesn't care. Every time I click on your videos I get so interested in the content. You just put things into perspective and make maths so interesting!
professor lenord is at merced college, a community college in central california. he's the best math teacher i've ever seen, at a community college, which charges almost nothing compared to a uc or out of state public uni. his students are extraordinarily lucky...
I am at UCSD and my Calc 3 professor is really bad. She just writes as fast as she can and runs from one side of the black board to the other side. Listen to me, she literally runs! I am screwed!
Professor Leonard, I just want you to know that I was originally struggling with Calc 3 earlier in the semester. Because of your videos, I was able to reteach myself the unit (all your videos prior to this one) and get a 92 on my test! You're a lifesaver thank you so much.
I just can't get over how much better Prof. L is when compared to 99.9% of my teachers thus far ( junior year of college majoring in engineering physics). My calc 3 prof. said the other day to stay away from youtube because it, "will just confuse you", and I straight up wanted to laugh in his face. Prof. L was groomed for this and it shows. The theory he ensures to lay out before embarking on examples and application is the prelude to understanding and he does it well. What's more is that he writes down the most concise of sentences that really crystallize the concepts he aims to convey. Alas, the only thing I feel I'm missing is more time to watch his lectures.
We are missing time because we are stuck in hours of lectures each week that don't make sense to us. I have to spend so many extra hours learning all the stuff I should have learned in my lectures. Turns out the stuff is actually pretty easy when taught properly.
@@ergar90 A lot of teachers have actually started to realise this, and that is one reason for why "flipped classrooms" are becoming more and more popular - those classes are about watching recorded video lectures at home at your own pace, and then discussing example problems etc during the classes.
He is the best teacher I have seen in my entire life...I wish I could attend these lectures instead of my old fart of a teacher who stumbles over everything he does. Prof Leonard- you are a talented man who truly knows the subject of math and it is clear that you work hard to make it understandable to your students. You are a math god and I wish your career the best! you will go far with the passion that you display.
@@ProfessorLeonardProfessor unambiguously you're my favorite maths teacher ever u have made calculus super cool and fathom as indeed this is I've seen students fearing from calculus don't know why.most likely they don't find good teachers to make them cognizant that what calculus is actually it's so subtle thing nowdays having a good teacher. Well I've seen all your lecturers of specifically calculus course and i am just addicted to your lecturers that I've started having dreams of being in your class and raising hands when you says raise your hands if you're okay this far. that makes me feel so intriguing and it feels like being present in your class lastly i would like to say THANK YOU for all of your great videos .👍
I'm swedish and my teacher in college is danish, do u have any idea how bad his accent is? one can not understand it.. so how can I learn from a teacher who can't speak neither english or swedish? idk why he is even getting paid tbh.. he does nothing more than grading our exams
I hardly even go to class anymore I just figure out the topic my prof went over in class and then I watch Prof. Leonard's rendition of it. I am NOT a visual learner and Prof. Leonard's teaching style is not very visual but more systematic which I absolutely love. Plus he's hot as hell....so.
>> "hardly even go to class anymore" I am sure you will regret a year later and begin questioning "where did i go wrong ?" Going to class is not all about studying from professor, there is much to it.
I very much disagree. This is something I learned from my own personal experience. I am not reciting what others are saying. There is much more to classroom than home study. Doesn't mean you have to go every day, but you do need to go to classroom.
Perhaps attending the classroom isn't as mandatory as you may think, but I do agree that it is a good idea to go anyway. I've found that maximizing the sources of information is never a bad thing. I attend my calc 3 lectures daily, then in the morning before the next class I just watch the same topic from professor Leonard's perspective. By doing so I can pick and choose whose methods I like better. For example, I've found my own professors methods of graphing cylinders and surfaces much less memory-intensive, so I use his for that, but I found professor Leonard's method of _identifying_ the graphs much better. I also almost always prefer professor Leonard's explanations of concepts, as he is good at explaining complicating concepts in a simple and visual way. It just gives a better all-around understanding if you supplement both forms of instruction.
I like how Professor Leonard actually tells the students when a certain type of example problem will be on their test. This is a great way to make them want to pay attention, since they can pretty much get free points if they learn to solve those specific problems. I think that he has said that about 3-4 times in this playlist up to this point.
Prof L I'm not only learning calculus through your videos but also your speaking style. Somehow it just naturally is easy to keep up with and keeps me from zoning out in the middle of the lecture. Thanks for saving our sanity, six years after this video is uploaded
This man is actually so amazing. He made MV calc in my senior year of high school one of my easiest courses. I don't know what else to say but that he deseveres all the success. Also if anyone knows a person who covers physics electricty and magnetism with this much detail please please please drop it down below. Prof. Leonard lays out the principlies first and makes sure you understand everything before moving on and if there is someone you guys know of who does this for E&M I would greatly appreciate it.
Professor Leonard, I just wanna say a huge thank you to you. You know what, I wanted to study calculus, so I just bought a book. But then I realized that I was weak at “algebra ” and ”trigonometry”, and so I found you and I completed the “pre-calculus” course, then I moved on with calculus 1&2 and I actually enjoyed the ride and I am enjoying it now as well, learning calculus 3. Professor Leonard, every day I think that how much blessed I was and how much blessed I am and all of us who did study and who are studying through you. It was a great help and it will be MR. LEONARD. I would love to meet you one day in future as soon as possible. Thank so much. God bless you and your family. One more thing, you’re not a good but a great teacher and I love you. ✌️
From day one of working in 3 dimensions, I have always asked why the axis are arranged the way they are (with x going into/out of the board, y being on the boards horizontal axis, and z going up and down) as opposed to keeping x and y as they were in 2 dimensions and making the z axis go into/out of the board, and I have never gotten an explanation beyond "that's the standard convention" from any of my professors. I had honestly come to accept that, but I still was never really satisfied with it. And then at around 4:18 to 4:25 Professor Leonard comes in and in just 7 seconds I now completely understand the reasoning behind this. It doesn't really change anything in the grand scheme of things, it doesn't lead to any immediately obvious applications, but this new piece of knowledge has scratched a mental itch that was buried so deep that I had nearly forgotten it was there, but the satisfaction of finally having an explanation feels almost enlightening.
Prof. Leonard, I hope you are well. I just wanted to say thank you for helping me understand Calc 3 this summer. It's been a rough quarantine for me mentally but you explaining the concepts helps relieve some of the stress so thank you for all the help.
What I appreciate most about him is his calm and patient manner of presentation - reflecting a genuine and sincere concern that his students being able to understand the material is his highest concern
The best (x-axis which is taking care of himself) of the best (y-axis, which is teaching skill ) and the best(z-axis his humble behaviour to students, responsibilities etc love his words do you guys understand....) teacher. The best in the multi-dimension skilled teacher.
I had a decent amount of struggle with my calc 2 class and im very nervous for next semester with calc 3. So glad these lectures exist there among the best ive found
This guy has got a real talent, and is intelligent too. And more than that, what really amazed me is that he loves teaching, really into it. Just look at him...his gestures...hats off to this genius!
My semester starts on 2/4/2022. It's only 1/12/2022 and I have already mastered more than 30% of calc 3 which I am taking in the semester. I got a 2.72 last semester and need B+ average to keep my scholarship going, but this is going to be a comfortable A thanks to Leonard.
Your videos are my saving grace, I honestly learn 0 things from my professor since his lectures are so scattered to the point that no more than 30% of the class even show up for his lectures. AGAIN THANK YOU!
I can already tell this is gonna be a helpful channel for me this semester . My professor has a pretty strong accent so this will help me out if I can't understand him.
realizing I pay my university big money to just end up learning from your videos. Not enough professors like you in this world. Will be a patreon supporter very soon
Hi professor Leonard, I can't thank you enough for all your Maths lectures that you have provided to the world for free. I live and study in South Africa and it has been really difficult trying to keep up with the work in university throughout the pandemic because I'm so used to a classroom setting with lecturers and hands-on help. I've had to do most of my learning all alone and the way you teach works so well for me. Thank you and peace ☮︎
The best feature of a great teacher is his assumption that the student knows nothing about the subject, and that is what makes professor Leonard a great teacher. He is willing to invest a wealth of information and details about the topic without boring or overwhelming his audience. 👍
It is very hard to complete one assignment just seven teaching days into the semester, but I have completed three of them, and those topics weren't even covered in class! Leonard, your vids are just magic. Thank you so much.
Your videos are the best Calculus learning material I have seen. My teacher can't explain, I wouldn't have a source for quality learning if it wasn't for you. Thank you so much. Loving the "left side / right side only" questions... they seem to make people want to participate, to compete a bit.
The last five minutes he shows computer generated examples of cool contour plots. I've taken a lot of math classes and I've never had a math professor show an example of anything. The man is a legend. Thank you.
I dont know why Professor Leonard looks like Henry calvil. but for sure he is the hero that help me pass my calc 3 classs. This are the best clasess I have seing online ever
Professor Leonard has motivated me to not only do Calculus but to also hit the weights and get jacked. You should start a vlog professor of your diet and exercises too.
I can't believe I just watched your videos now. Binge watching to catch up in my Calc III course. I can do without the high schoo- ish scolding but your content is worth it. Thank you for explaining with proofs, logic, relevant & applied examples, all the while giving tips on how to efficiently solve or check for incorrectness and not being stingy with sharing how to gain mathematical intuition that so many calc professors like to skimp on for meeting curriculum standards or personal reasons.
High quality of execution , simple explanation, and a fit tutor, that's the best deal I could think of. Thanks so much for sharing information online. 🎁🌻🌺
At 34:50, if you don't understand why the range is 2, it is because the highest value of the function is root 4 which is 2. Even though it's quite simple, it's easy to get confused!
Thank you professor leonard, my first language is spanish but i speak english too. It's easier to learn from you than my professors in the college, THANK YOU.
Amazing teaching methods I got bored of my drs explaining way but u r the best math teacher I've ever seen. Even if it's on the screen, not only did I understand the lessons also I don't get bored. Thank u very much prof Leonard
Professor Leonard, thank you for another amazing video/lecture on the Introduction to Multivariable Functions. Level Curves/ Contour Plots have many applications in real life. Level Curves/Contour Plot are used in Land Surveying/Construction, Weather Maps and Electric Potential Fields. In this type of map, the level curves are called equipotential lines.
I was struggling to understand this concept until I watched your lecture. thanks so much. this is probably the 10th time these videos have got me up to speed with my classes
Some Teachers just takes our minds to another world .... i don't know how to explain this but this is just amazing feeling i just feels like studying maths for a whole day, i feel like i want to study more 🔥 There are 2 such teachers in my life One is my Chemistry Sir 😸 And another is this Sir 🙂 I have electronics exam today but I want to study maths (side effects)🥲
I like to think of 4D as an infinite number of parallel 3D spaces. So for example if I want to walk through a solid wall then I could enter another 3D space and then move forward in that space, then go back to my own space again and appear on the other side of the door. Basically, it's like imagining 3D spaces as flat planes that lie stacked on each other.
im doing the same thing. I had to take a 2 year break due to various things life threw my way and am taking calc 3 this term. however my professor SUCKs and does't teach well. everyone in our discord from class is talking about how they're teaching themselves.
Buffest Professor in the multivariable calculus world.
Jacked 3D bruh
Clearly mathed his way to a software algorithm that uses EM pulses to provide microtears to his muscles haha
The Buff Dude of Calculus.
Those negative parabolas bruh
Chadwick Boson
the world needs to know who you are......i have never understood maths like i do now after watching your videos..i am forever grateful sir
I've heard people saying that this guy's videos are so engaging that they raise their hands up whenever he asks us if we understand. I thought that was cap until today. Caught me slipping; I raised my hand up like 3 times damn. GOAT talk.
LMAOOO
Maths can be so frustrating when you have a lecturer that just doesn't care. Every time I click on your videos I get so interested in the content. You just put things into perspective and make maths so interesting!
professor lenord is at merced college, a community college in central california. he's the best math teacher i've ever seen, at a community college, which charges almost nothing compared to a uc or out of state public uni. his students are extraordinarily lucky...
He still teaches there? I thought he moved to another school?
i wouldve started there if i knew XD
I am at UCSD and my Calc 3 professor is really bad. She just writes as fast as she can and runs from one side of the black board to the other side. Listen to me, she literally runs! I am screwed!
@@roadtoad3484
You are not screwed if you have found these videos.
@@ryandavid6101 did he move to a different school? If so, do yk which one?
Great lecture, feel like I'm learning from Clark Kent
LMFAO
I believe the same very much!
As Batman, I can confirm that he is Clark Kent.
He is the superman. it s in the channel pic. LOL
Yo u gotta do a gym lesson to diversify your portfolio
Professor Leonard, I just want you to know that I was originally struggling with Calc 3 earlier in the semester. Because of your videos, I was able to reteach myself the unit (all your videos prior to this one) and get a 92 on my test! You're a lifesaver thank you so much.
You are the reason I argue that teachers will never be paid enough. Thanks for the simplified, clear lessons, Master Leonard.
Truer words were never spoken
graphing planes: 1:09:00
level curves: 1:24:40
contour plot: 1:27:00
I just can't get over how much better Prof. L is when compared to 99.9% of my teachers thus far ( junior year of college majoring in engineering physics). My calc 3 prof. said the other day to stay away from youtube because it, "will just confuse you", and I straight up wanted to laugh in his face. Prof. L was groomed for this and it shows. The theory he ensures to lay out before embarking on examples and application is the prelude to understanding and he does it well. What's more is that he writes down the most concise of sentences that really crystallize the concepts he aims to convey. Alas, the only thing I feel I'm missing is more time to watch his lectures.
We are missing time because we are stuck in hours of lectures each week that don't make sense to us. I have to spend so many extra hours learning all the stuff I should have learned in my lectures. Turns out the stuff is actually pretty easy when taught properly.
@@ergar90 tbh math in nutshell
@@ergar90 A lot of teachers have actually started to realise this, and that is one reason for why "flipped classrooms" are becoming more and more popular - those classes are about watching recorded video lectures at home at your own pace, and then discussing example problems etc during the classes.
did you use youtube for Physics help, if so what channel??
@@aaronguerrero592 michael van biezen
He is the best teacher I have seen in my entire life...I wish I could attend these lectures instead of my old fart of a teacher who stumbles over everything he does.
Prof Leonard- you are a talented man who truly knows the subject of math and it is clear that you work hard to make it understandable to your students. You are a math god and I wish your career the best! you will go far with the passion that you display.
Thanks Claire!! Best of luck to you as well :)
@@ProfessorLeonardProfessor unambiguously you're my favorite maths teacher ever u have made calculus super cool and fathom as indeed this is I've seen students fearing from calculus don't know why.most likely they don't find good teachers to make them cognizant that what calculus is actually it's so subtle thing nowdays having a good teacher. Well I've seen all your lecturers of specifically calculus course and i am just addicted to your lecturers that I've started having dreams of being in your class and raising hands when you says raise your hands if you're okay this far. that makes me feel so intriguing and it feels like being present in your class lastly i would like to say THANK YOU for all of your great videos .👍
This is unfair. I shouldn't be paying my school $1500 for this course when I'm learning it all from Professor Leonard.
im paying like 140$ for this and still dont get a shit about it xD
I'm swedish and my teacher in college is danish, do u have any idea how bad his accent is? one can not understand it.. so how can I learn from a teacher who can't speak neither english or swedish? idk why he is even getting paid tbh.. he does nothing more than grading our exams
@@gamingmonts9737 I speak English as a first language and I'm learning this in Chinese after having studied chinese for just a year.
@@aformula4198 use google ttranslate lol
@@gamingmonts9737 watch the real professor Prof. Edward Dutton. That is what based fkers watch in Norway.
I hardly even go to class anymore I just figure out the topic my prof went over in class and then I watch Prof. Leonard's rendition of it. I am NOT a visual learner and Prof. Leonard's teaching style is not very visual but more systematic which I absolutely love. Plus he's hot as hell....so.
>> "hardly even go to class anymore"
I am sure you will regret a year later and begin questioning "where did i go wrong ?"
Going to class is not all about studying from professor, there is much to it.
I very much disagree. This is something I learned from my own personal experience. I am not reciting what others are saying. There is much more to classroom than home study. Doesn't mean you have to go every day, but you do need to go to classroom.
Perhaps attending the classroom isn't as mandatory as you may think, but I do agree that it is a good idea to go anyway. I've found that maximizing the sources of information is never a bad thing. I attend my calc 3 lectures daily, then in the morning before the next class I just watch the same topic from professor Leonard's perspective. By doing so I can pick and choose whose methods I like better.
For example, I've found my own professors methods of graphing cylinders and surfaces much less memory-intensive, so I use his for that, but I found professor Leonard's method of _identifying_ the graphs much better. I also almost always prefer professor Leonard's explanations of concepts, as he is good at explaining complicating concepts in a simple and visual way. It just gives a better all-around understanding if you supplement both forms of instruction.
going to class is a waste of time, these kinda videos are a life saver. Why waste hours in class when you can learn ina fraction of the time?
@yeh8436 to get the stupid credits for the class duh. the whole point of going the college is the get enough credits to get a piece of paper, ya know
Professor leonard could easily be one of the best lecturer in the world.
I like how Professor Leonard actually tells the students when a certain type of example problem will be on their test. This is a great way to make them want to pay attention, since they can pretty much get free points if they learn to solve those specific problems. I think that he has said that about 3-4 times in this playlist up to this point.
Prof L I'm not only learning calculus through your videos but also your speaking style. Somehow it just naturally is easy to keep up with and keeps me from zoning out in the middle of the lecture. Thanks for saving our sanity, six years after this video is uploaded
This man is actually so amazing. He made MV calc in my senior year of high school one of my easiest courses. I don't know what else to say but that he deseveres all the success. Also if anyone knows a person who covers physics electricty and magnetism with this much detail please please please drop it down below. Prof. Leonard lays out the principlies first and makes sure you understand everything before moving on and if there is someone you guys know of who does this for E&M I would greatly appreciate it.
this prof is easy to understand.
p.s. him looking too much like superman is distracting though
lmao
i love it
I thought he looked familiar
+cryer3160
Speaking of Superman, check out Professor Leonard's profile picture. xD
Professor Leonard, I just wanna say a huge thank you to you. You know what, I wanted to study calculus, so I just bought a book. But then I realized that I was weak at “algebra ” and ”trigonometry”, and so I found you and I completed the “pre-calculus” course, then I moved on with calculus 1&2 and I actually enjoyed the ride and I am enjoying it now as well, learning calculus 3.
Professor Leonard, every day I think that how much blessed I was and how much blessed I am and all of us who did study and who are studying through you.
It was a great help and it will be MR. LEONARD.
I would love to meet you one day in future as soon as possible.
Thank so much. God bless you and your family.
One more thing, you’re not a good but a great teacher and I love you. ✌️
From day one of working in 3 dimensions, I have always asked why the axis are arranged the way they are (with x going into/out of the board, y being on the boards horizontal axis, and z going up and down) as opposed to keeping x and y as they were in 2 dimensions and making the z axis go into/out of the board, and I have never gotten an explanation beyond "that's the standard convention" from any of my professors. I had honestly come to accept that, but I still was never really satisfied with it. And then at around 4:18 to 4:25 Professor Leonard comes in and in just 7 seconds I now completely understand the reasoning behind this. It doesn't really change anything in the grand scheme of things, it doesn't lead to any immediately obvious applications, but this new piece of knowledge has scratched a mental itch that was buried so deep that I had nearly forgotten it was there, but the satisfaction of finally having an explanation feels almost enlightening.
Prof. Leonard, I hope you are well.
I just wanted to say thank you for helping me understand Calc 3 this summer. It's been a rough quarantine for me mentally but you explaining the concepts helps relieve some of the stress so thank you for all the help.
What I appreciate most about him is his calm and patient manner of presentation - reflecting a genuine and sincere concern that his students being able to understand the material is his highest concern
I am literally learning from this channels . two focused hours on this channel is worth it.
The best (x-axis which is taking care of himself) of the best (y-axis, which is teaching skill ) and the best(z-axis his humble behaviour to students, responsibilities etc love his words do you guys understand....) teacher. The best in the multi-dimension skilled teacher.
I had a decent amount of struggle with my calc 2 class and im very nervous for next semester with calc 3. So glad these lectures exist there among the best ive found
same here.... just got a 3.8 on my first calc 2 exam and now im here trying to make it better for the next time
Dude my calc 3 teacher right now is not very good. Your lectures are the best math lectures I've ever seen. Absolutely phenomenal.
This guy has got a real talent, and is intelligent too. And more than that, what really amazed me is that he loves teaching, really into it. Just look at him...his gestures...hats off to this genius!
My semester starts on 2/4/2022. It's only 1/12/2022 and I have already mastered more than 30% of calc 3 which I am taking in the semester.
I got a 2.72 last semester and need B+ average to keep my scholarship going, but this is going to be a comfortable A thanks to Leonard.
How did it go?
Your videos are my saving grace, I honestly learn 0 things from my professor since his lectures are so scattered to the point that no more than 30% of the class even show up for his lectures. AGAIN THANK YOU!
I have a really important exam tomorrow and I cannot stop thinking how inspiring you are sir ... 💞
I can already tell this is gonna be a helpful channel for me this semester . My professor has a pretty strong accent so this will help me out if I can't understand him.
same with me
realizing I pay my university big money to just end up learning from your videos. Not enough professors like you in this world. Will be a patreon supporter very soon
I am from INDIA. A first year student of enginering. I am learning very well by proff. Leo. Thanks sir.
Hi professor Leonard, I can't thank you enough for all your Maths lectures that you have provided to the world for free. I live and study in South Africa and it has been really difficult trying to keep up with the work in university throughout the pandemic because I'm so used to a classroom setting with lecturers and hands-on help. I've had to do most of my learning all alone and the way you teach works so well for me. Thank you and peace ☮︎
After 2 years finally it's happening that I am loving maths
So thanks sir
The best feature of a great teacher is his assumption that the student knows nothing about the subject, and that is what makes professor Leonard a great teacher. He is willing to invest a wealth of information and details about the topic without boring or overwhelming his audience. 👍
It is very hard to complete one assignment just seven teaching days into the semester, but I have completed three of them, and those topics weren't even covered in class!
Leonard, your vids are just magic. Thank you so much.
Your videos are the best Calculus learning material I have seen. My teacher can't explain, I wouldn't have a source for quality learning if it wasn't for you. Thank you so much.
Loving the "left side / right side only" questions... they seem to make people want to participate, to compete a bit.
He is the absolute best. I watch his lectures when I miss class or mine seemed unclear. Such a lifesafer!!
The last five minutes he shows computer generated examples of cool contour plots. I've taken a lot of math classes and I've never had a math professor show an example of anything. The man is a legend. Thank you.
you're literally the best! Your explanations and simply making the students engage are so refreshing to see! Thank you!
totally agreed !
Thank you so much professor! You're the only reason why I understand calculus 3
Dude, sir! You are like superhumanly awesome! On behalf of so many of us, thanks! This is what’s missing in so many schools! Great job man, great job!
I dont know why Professor Leonard looks like Henry calvil. but for sure he is the hero that help me pass my calc 3 classs. This are the best clasess I have seing online ever
Professor Leonard has motivated me to not only do Calculus but to also hit the weights and get jacked. You should start a vlog professor of your diet and exercises too.
I can't believe I just watched your videos now. Binge watching to catch up in my Calc III course. I can do without the high schoo- ish scolding but your content is worth it.
Thank you for explaining with proofs, logic, relevant & applied examples, all the while giving tips on how to efficiently solve or check for incorrectness and not being stingy with sharing how to gain mathematical intuition that so many calc professors like to skimp on for meeting curriculum standards or personal reasons.
High quality of execution , simple explanation, and a fit tutor, that's the best deal I could think of. Thanks so much for sharing information online. 🎁🌻🌺
you are the best maths teacher i have seen by far.....cant thank you enough!
the best Lectures you can find. I love when he talks to students and asks . I feel like if I am there between the students.
Prof Leonard is the best calc teacher in the country--he's in a class by himself!
I can't be the only one who thinks this prof looks like Johnny Bravo with that black t-shirt
Haha I was thinking the same exact thing
You put my thoughts into words, I just couldn't put my finger on it!
I actually can't unsee it
lol johnny bravo was hiding his smarts all along!
Thank you from the bottom of my heart. The best teacher I have ever ever seen!
Keep up the great work!
Communication sets this guy apart, usually i find mathematians are poor at communicating ideas. This guy is brilliant.
I once had a math teacher who sounded exactly as if he was talking to himself.
At 34:50, if you don't understand why the range is 2, it is because the highest value of the function is root 4 which is 2.
Even though it's quite simple, it's easy to get confused!
@jassmeenem3893
Thank you professor leonard, my first language is spanish but i speak english too. It's easier to learn from you than my professors in the college, THANK YOU.
you have big arms and a big knowledge in multiderivative functions. my new role model
wow i actually watched a calculus video for almost 2hours.....what a great teacher!
You are God-sent!! Pease be upon you, genius Professor!!
I love these classes! Calculus with a hint of Spanish. Thank you Professor Leonard. I'll keep them en mi cabeza.
Amazing teaching methods I got bored of my drs explaining way but u r the best math teacher I've ever seen. Even if it's on the screen, not only did I understand the lessons also I don't get bored. Thank u very much prof Leonard
Sir l like your way of teaching you are more than professor you did your best thanks
Professor Leonard, thank you for another amazing video/lecture on the Introduction to Multivariable Functions. Level Curves/ Contour Plots have many applications in real life. Level Curves/Contour Plot are used in Land Surveying/Construction, Weather Maps and Electric Potential Fields. In this type of map, the level curves are called equipotential lines.
Thank you Professor Leonard you cleared many of my concepts!
I was struggling to understand this concept until I watched your lecture. thanks so much. this is probably the 10th time these videos have got me up to speed with my classes
This is actually covered in my Calculus 2 course. Thanks for the upload.
Your lecture kind of getting me to love calculus! Thank you very much!😄
You are the man, so beneficial for folks that have to take Calc 3 online
Thank you for the great lesson professor. Perfect amount of enthusiasm, humour, theory and examples!
Some Teachers just takes our minds to another world .... i don't know how to explain this but this is just amazing feeling i just feels like studying maths for a whole day, i feel like i want to study more 🔥
There are 2 such teachers in my life
One is my Chemistry Sir 😸
And another is this Sir 🙂
I have electronics exam today but I want to study maths (side effects)🥲
Sir I share all of your tutorials videos along my friends......Perfect lecturer
48:09 was such a great break. Love it. Love you. Can't wait to watch more. Thank you.
I like to think of 4D as an infinite number of parallel 3D spaces.
So for example if I want to walk through a solid wall then I could enter another 3D space and then move forward in that space, then go back to my own space again and appear on the other side of the door.
Basically, it's like imagining 3D spaces as flat planes that lie stacked on each other.
A mobile phone !
فليصبح البروفيسور فاضل قربانا لك يا عبقري زمانك انت الافضل على الاطلاق
Thank you for making my Multivar class much easier!
Honestly thank you so much for your videos. Such simple step by step thinking which is needed sometimes.
Thank you so much for these videos... they have been so helpful this quarter! You truly are an amazing teacher.
Man this professor deserves more subscribers like way more.
absolutely brilliant! thanks a ton for teaching us. GOD bless you Sir
Calculus 3 was a breeze thanks to you mate!
Found ur videos during covid, best online lecture ever
Honestly, this is so well-explained
Thanks so much Professor Leonard, great and helpful video!
I'd believe anything my prof says if he's that buff. Clearly his math works
THANK YOU! YOU EXPLAIN CLEARLY AND MAKE SENSE!
I need something like him for every subject. I'm doing great in Math but Chem and Physics are kicking my butt. :(((
All I want to say is Thank you Professor Leonard!
You're a life saver ❤..these videos are gonna be useful even in 2080!
Patient and informative. I thought this long video would be boring, but it is not. Thanks for your explanations and humor. :)
Professor Leonard is better than my actual Professor. THANK YOU LEONARD!
you are the best prof ever in this world
I always write a 3D multivariable function as "z(x,y)".
This gives me the dependent variable AND the independent variables all at once.
Danke Prof, my lecturer doesn't explain it like this. That's why i was lost all along until i watched this video
I am back after 2 years to learn calculus III after II. When you get proper lectures like this for free. This has to be a crime.
im doing the same thing. I had to take a 2 year break due to various things life threw my way and am taking calc 3 this term. however my professor SUCKs and does't teach well. everyone in our discord from class is talking about how they're teaching themselves.
U'r the master of all teachers ❤️
I just love this guy for doing what he did over here! Keep it up :)
My calc 1 teacher is teaching this a week before finals :,D so thank you leonard for explaining this so well
HI JACKIE LOL
Thanks you . You are the reason I am not failing calculus. I hope to see you in DE.
I'm watching the video from 7 years ago because there are no other videos that are as great!
Better than my professor at Georgia Tech. LOL. TY!!