Doing your job right. A simple thing. But oh my God, if everyone did their job the way this man does his, our world would be a far better place.
@muhammetakman80856 жыл бұрын
Absolutely I agree with you brother
@daouadiwalid4166 жыл бұрын
absolutely
@barovierkevinallybose10406 жыл бұрын
I think the world can be a better place even if we are not spoon fed
@alexcampbell20732 жыл бұрын
@@muhammetakman8085 I know
@elliotgould74582 жыл бұрын
That is so true !
@jclarkent37578 жыл бұрын
The only way to teach effectively is like a broken record. He never leaves anyone in the dust. Its nearly impossible to walk away from this class feeling lost or behind. So awesome
@JawadAli-tj3ec7 жыл бұрын
broken record tells how to understand others ,,,,,
@emanuellandeholm5657 Жыл бұрын
Your username is so funny because Clark Kent is exactly who this professor reminds me of. :D
@emanuellandeholm5657 Жыл бұрын
I see he's leaning into it too :D
@-hitman-91033 ай бұрын
@@emanuellandeholm5657 lool, you should see his pfp XD
@learningleopard9963 жыл бұрын
Intro to multivariable limits: 0:00 Showing a limit (with two variables) does not exist: 26:54 Showing a limit (with three variables) does not exist: 1:12:19 Showing a limit does exist: 1:32:07 changing to polar coordinates: 1:32:28 Continuity (domain and compositions): 1:41:47 Summary of computing limits: 2:06:56 - 2:07:24 Squeeze theorem (converting to inequalities): 2:07:26
@ahmadaloufi4067 Жыл бұрын
♈🔧
@herobrine184710 ай бұрын
Where’s the balloon
@Truth_Seeker12027 ай бұрын
Thanks a lot for the timestamps!
@jeremiahswartz23147 жыл бұрын
If I had this professor I would never miss a lecture. I firmly believe in a full understanding of the subject at hand. This guy knows how to deliver.
@grantedwards85468 жыл бұрын
Every professor should take note the beginning portion of your lectures. Every math professor I've had jumps straight to the computational stuff and expects students to learn what they're actually doing on their own.
@yasminasabra88755 жыл бұрын
100%
@juanorellana89454 жыл бұрын
That single introduction makes the difference!!! >:(
@scottwitoff89323 жыл бұрын
One thing that bothers me is how in order to be a professor you do not need a degree in education. In other words you can be an expert but not know how to teach.
@christianbalderrama31798 жыл бұрын
Hello Professor Leonard, I just want to personally thank you here at KZbin for providing quality tutorials from starters to advanced topics at Mathematics. I'm currently at your Pre-Algebra courses, its just amazing! I've never been taught Mathematics this way which is very fun and intuitive way. Thank you so much!
@hugojulia71454 жыл бұрын
ok so he is ACTUALLY explaining ive never had a teacher that did that im shook
@amresmaeel9724 жыл бұрын
Lmao xD
@sujitsuram50754 жыл бұрын
conceptual talk until 00:00 Examples of 2 dependent variables: 24:00 Examples of 3 dependent variables: 1:12:15 Squeeze theorem : 2:07:25
@alexg910244 жыл бұрын
Independent*
@blankboy-ww7jt3 жыл бұрын
thanks
@yousefalthinayyan31973 жыл бұрын
Elite
@zandiviljoen1463 жыл бұрын
Thank you! I was just lookin for squeeze theorem
@thetedmang7 жыл бұрын
Prof Leonard, You got me through Calc 1 and Calc 2, both with an A+. Thanks for your dedication to teaching!
@PolSanchezJr5 жыл бұрын
Bless your soul Prof. Leonard, My professor explains things very strangely, using abstract notation, and she still uses blackboards without erasing the pre-existing chalk properly. You are literally going to save my life in this class and I feel like I am a part of the environment. You do a great job of explaining everything and it's worth watching you lecture for a little longer to make sure that I understand the concepts completely. Thanks for the humor!
@akshay.s4 жыл бұрын
I wish I had found this channel earlier- would have made a lot of things easier.
@regflores91834 жыл бұрын
Same thoughts
@AlexandreGMusic4 жыл бұрын
these video might just save my semester. His explanations are so simple to follow and very clear and when my professor explains the same material I don't understand a single thing. Wish we had more professor like him. Thank you for the videos!
@tashina75562 жыл бұрын
Thank You Professor Leonard! Your videos have helped me to Ace calculus I, II and III. I tell everyone who struggles with Calculus about your videos. They have been so helpful!
@Emmitries Жыл бұрын
I am so grateful I came across this lecture. If every math professor taught concepts like this, the world would be a better place! Thank you so much!
@lindaleckrone61534 жыл бұрын
I refer many of my students to these videos, they are fantastic. With this one, I have one comment - around minute 43, part a says to be certain your point (a,b) is on your path. But then goes into testing along the x and y axis. If your point of interest is NOT the origin, do not try x=0 or y=0 as your path. Try x=a and y=b instead!
@Gabi____6 жыл бұрын
I can't believe how helpful are those videos. I'll watch them in class instead of listening to my professor b/c it's such a waste of time... thank you so much!
@coletadlock43236 жыл бұрын
I love the way he teaches and his sometimes cringe dad jokes. Keep up the great work, I appreciate your help!
@makeclub6 жыл бұрын
Went all around the internet looking for engaging and relevant content like this. This is so much better than my stanford math prof. I really appreciate your delivery of concepts (and this is the first youtube comment i have been compelled to make in years)
@ProfessorLeonard6 жыл бұрын
Thanks so much!! I'm very glad you are enjoying the videos :)
@davidlunacruz11504 жыл бұрын
There is no other way to describe this man other than a living legend
@xbriitbx6 жыл бұрын
Thank you for showing how to apply Squeeze Theorem to these problems!!! My teacher tried to explain it to us in half of a lecture and you did it under 10 minutes in a way that I can understand!
@user-tm1ix7xi1n7 жыл бұрын
Your videos gets better and better every time. Thank You so much.
@alexprocel917 жыл бұрын
Professor Leonard, will you ever make videos for linear algebra and differential equations? I really hope you do one day!!
@lukevandervorst58536 жыл бұрын
Procel91 he just started a differential equations series, if you still need it
@aaronguerrero592 Жыл бұрын
1:08:45 AND THAT WHY HE IS THE G.O.A.T!!! THE SMALL DETAILS, I love it! Thanks again Professor Leonard. Just killed my Ch.12 exam with a 99. Plan on going for a killing spree in calc 3.
@ishitapandey63494 жыл бұрын
It's really a blessing to be taught by u. Your dedication level soars the sky. Thank you sir for making mathematics easy for everyone one of us! With love From India!!
@1agentchase1085 жыл бұрын
I have been struggling with limit continuities for weeks, this video's first ten minutes cleared up everything I had wrong!
@sarveshkamat77846 жыл бұрын
Professor Leonard, May god bless you with a continuous eternal function of health and wealth with no holes and asymptotes ☺😘💝
@ingridvenegas12114 жыл бұрын
Your classes are helping me get through this multivariable stuff during these trying times. Thank you!
@sammyofer98744 жыл бұрын
I'm watching this an hour before my midterm and I'm already learning more than my teacher ever taught me
@plorbus123 Жыл бұрын
howd it go
@NickZolotasАй бұрын
watching this 8 hours before the exam
@nontobekodlamini67098 жыл бұрын
Thank you much Professor Leonard for the calculus 3 videos , you such a wonderful teacher you made me like calculus , you my best teacher ever.
@johndoe-sh6bi5 ай бұрын
Dude this guy is amazing. He needs to zoom these lectures live so we are actually there. A lot of people would pay for that.
@ninjamonk378 жыл бұрын
My professor for Calc 3 is named Hongwei and speaks with a hard accept from china so when he goes over anything its always a bigger challenge to not only understand the concept but him as well. So when he went over this section he sped through it only talking about the epsilon-delta definition of it and then using polar to solve some problems, never fully explaining the actual concept. This video has not only saved my grade but also my understanding of limits for all future calculations I'll be doing in my career as an engineer. Thank you so much Professor Leonard!
@tm672458 жыл бұрын
oh my god! he makes math sounds soo much fun n easy!! thank you
@jisungyu28 жыл бұрын
I really like your lectures. I appreciate it very much for making them available!! very learner friendly!!!
@kristelshull85685 жыл бұрын
Thank you for taking the time to explain this! Amazing job! I hope that all math professors could explain the way that you do!
@shadiam.66948 жыл бұрын
It's funny how on calc 1, I watched your videos in regular speed. In calc 2 it was in 2x it's speed, and now I'm able to manually watch calc 3 in 3x it's speed. Just goes to show how clear it is, thanks so much for creating smooth transitions to new topics and info (:
@georgesadler78302 жыл бұрын
Professor Leonard, thank you for another well organized video/lecture on Limits and Continuity on Multivariable Functions with the classic Squeeze Theorem in Calculus Three. These concepts are introduced in Calculus One, which improve my understanding of the subject in Multivariable Calculus.
@SamuelLee-gw6wr2 жыл бұрын
Following in the footsteps of SQ Flyer who got an A+ in math2011 intro to mul cal in 2019 fall, I have watched so many of your vids and I am going to be the next beneficiary of you! I managed to get a past exam question correct on 1/12/2022 but my semester starts on 2/4/2022. Thanks a lot!
@omarmagdi2732 Жыл бұрын
you are such an Artist....It's very satisfying when you find one of those gems on youtube!!!
@natanbenchimol81597 жыл бұрын
A year and a half later this is still the best math lesson I've ever had
@Salamanca-joro6 ай бұрын
Eight years later and this is still the best math lesson I've ever had , first time watching his videos and it looks like that it won't be the last!
@BB-bq4oo7 жыл бұрын
Honestly your videos help me out so much! I'd be lost without them! I can't thank you enough!!
@maxusldragold56415 жыл бұрын
Best Calculus Professor i ever seen
@akshay.s4 жыл бұрын
In my view, Professor Leonard is the Best Math Teacher online
@EG-ne7yp4 жыл бұрын
Преп просто охеренный! Зачет. Cool teacher! I really enjoy his attitude. He is genuinely interested in what he is doing. On the other hand majority of university teachers barely tolerate students and see them as a nonsense and a distraction from scientific research.
@kartikaysingh81326 жыл бұрын
All the concepts you explained sir, you made it all look so simple. Thank you so much.
@locktharcillo7 жыл бұрын
Im from Argentina and this is the best video i found to understand limits, ty man the only one who say that the point have to be on the path, sorry for my english.
@BigTimeBrad8 жыл бұрын
Professor Leonard, I'm always excited to see new material. I'm currently in Calc 3, and you've been a major help along the way! I have finals next week and I can understand your probably very busy yourself... Do you plan to release more videos in the next week or so? Thanks!
@ProfessorLeonard8 жыл бұрын
+Brad Nissen I'm releasing them as fast as I can make them, I hope they will help. Good luck!
@sandilemabika86568 жыл бұрын
+Professor Leonard when are you gonna release double and triple integral videos?
@ZnNlove8 жыл бұрын
+sandile mabika He actually already has released it, but the video was shot with a 4-D device in 4-D setting so unfortunately 3-D people are unable to see it. Maybe you should get 4-D glasses, I am selling if you are interested.
@Nicoder68848 жыл бұрын
+ZnNlove Efil I'm interested.
@presidentevil99517 жыл бұрын
Could you also give more examples of proving the limit DOES exist in different ways and what methods to use when?
@NirmalyaGanguli5 жыл бұрын
I don't know if it's really good enough to say just a "Thank You"...but still "Thank you very much"....ur detailed conceptual explanations are a treat to watch and understand.
@anbreenmuqaddas Жыл бұрын
Your students are so lucky! Thank you so much professor this means a lot for a lot of us Your lectures are well delivered and clears out every confusion in my mind
@hamnahteli9903 жыл бұрын
This man is truly inspirational! loving the lectures! so helpful!
@matthewel-sirafy7266 Жыл бұрын
man i wish i found this channel sooner, you are like a calc legend. I might just have to move to the USA so that i could have you as my prof.
@oscarm38282 жыл бұрын
Leaned this in 2 hr when my teacher took 2 weeks and the whole class didn’t understand. Wow I am jealous of those students from your class mr calc3
@muazothman74168 жыл бұрын
YOU ARE AMAZING!!!!!! I HAVE CALC 2 EXAMS COMING UP IN FIVE DAYS AND YOU ARE MY SAVIOUR TO ENDING THIS COURSE WITH AN A..:)))) thanks keep this up, much better than patrick jmt
@TomLawsonANIMATIONS8 жыл бұрын
Excellent explanation! It's people like you who make the world go 'round
@kidistyetimgeta10063 жыл бұрын
i am really thankful for Professor Leonard and I even recommended your lecture for my friends and the are thankful too
@RichardAxon6 жыл бұрын
Give this man a medal please! Thanks for your help!
@tumarisyalqun73276 жыл бұрын
Thank you so much for sharing your lecture, you are truly an amazing professor!
@austinpolk72132 жыл бұрын
I am just letting you know that I wished i found this series sooner but I found it in time for my finals. So thank you
@Realfeziwe5 жыл бұрын
this guy is the best ....The way he explain Everything you can even see some logic
@humraabdullah65214 жыл бұрын
I'm from Pakistan . Sir I really loved your lectures and way of teaching.that's amazing 😍
@roadtoad34844 жыл бұрын
Professor Leonard helped me through calc 1 with an F then round two I received a B-, then calc 2, I received a C and now Im in Calc 3 and who knows if I will pass or not! What Im telling you that just because you watch his videos and work your ass off does not mean you will automatically get an A or even pass. But don't give up people math is hard!
@chemist79085 жыл бұрын
Thanks a mil, its amazing that you teach for two hours off of one piece of paper
@joaquinbrandan86644 жыл бұрын
you have half a million subscribers for a reason, great job!.
@SweRaider19938 жыл бұрын
Thank you so much! I'm surprised my book never mentions the squeeze theorem and instead goes through a bunch of other non-sensical stuff... You made it all perfectly clear, and the theorem kind of makes sense intuitively as well.
@TheTaniaVanesa6 жыл бұрын
Thank you so much for clearing this up for me! greetings from México profesor Leonard! :)
@BL-om2hn7 жыл бұрын
Such a wonderful professor !!!
@reynantejr.marangga357 жыл бұрын
this is the best professor that i've ever known :-D
@gmcenroe Жыл бұрын
In this first and second example if you do a 3D plot (Used Mathematica in my case) you can see that these functions are not continuous at (0,0) but has a cusp along one axis at the point (0,0) in example 1 and a cusp along the -x,y and x.y diagonals in example 2 therefore the limit is undefined. In the example lim as (x,y)->(1,0) of (2xy-2y)/(x^2 +y^2 -2x +1)Professor Leonard found that the lim as y->0 of 2y^2/2y^2 =0 presumably because this reduced to the lim y->0 of 2y^2/2y^2 is 0/0 =1 and concluded that the limit was undefined. However Mathematica finds this limit of the base limite to be 0, so the original problem has a limit of 0 also which is also what Mathematica found. This is in agreement with the plot of the surface and examining the point (x,y) = (1,0) Mathematica's determination of the original limit to be 0, so I believe his answer is differant. I guess this depends on your definition of 0/0 or it could be a bug in Mathematica. Please comment Professor Leonard and others if you can. Time point 1:11:48.
@monikajangir41076 жыл бұрын
Hey I am from india!! Your video helped me alot!!!The way u teach is very excellent!!
@terryrodgers95608 ай бұрын
Professor Leonard is quite simply a genius, my professor gets mad when I talk to him about this professor lol.
@jameelhilal2206 жыл бұрын
I’m taking calculus 2 and this is so helpful, I really don’t know why the put almost all of calculus 3 in calculus 2 ...
@aliatruman5 жыл бұрын
They so don't. What? Lmao.
@WhiskyPapi4 жыл бұрын
khaye 3endon bi amerca l calc 2 howe calc 3
@dhickey5919 Жыл бұрын
He starts by talking about what we're actually doing instead of just memorizing it. It takes a little longer, but it lasts a lot longer!
@waltercarrillo60655 жыл бұрын
Great professor, those students must be proud of him. D for done.
@kezianathaniel29015 жыл бұрын
Thank you for being extremely elaborate and clear!
@susanlove96202 жыл бұрын
reviewing again, cuz i want it to be like...hate adding... like geometry when i was young. honestly, this is where it gets exciting. also, each time i study a lesson, as i understand it even more clearly, i realize even more what a good teacher you are.
@bv_974 жыл бұрын
Holy shit. Literally. Those kids learning at his class must realize how blessed they are being taught by a 'true' teacher (professor). I find myself in despair watching this video at the last minute just before my midterm test. Damn. Should have known him earlier...
@andream86714 жыл бұрын
My professor didn’t e explain anything, sadly. I have an exam tonight due at 12am, and I’m here trying to understand. Now I’m stuck trying to understand everything. Thank you for helping and existing though.
@michelletheatom5 жыл бұрын
Watching from Mexico. I love your videos!
@tomasvenegas9600 Жыл бұрын
i think you might be wrong here. When you use for example polar coordinates and you get a number it's not strong enough to prove that the limit exists, you'd have to use that number as a candidate of a posible value of the limit and then plug it the squeeze theorem or the epsilon-delta definition. Then just then you can prove the limit exists.
@andylong73753 жыл бұрын
I am here because my Prof is useless and doesn't know how to actually teach... I am in love with he way Leonard teaches. So great!
@keldonchase449221 күн бұрын
0:00 - Introduction to limits and continuity of multivariable functions 0:59 - Review of limits from single variable calculus 6:23 - Limits of multivariable functions 19:05 - How to prove a limit doesn't exist 24:08 - Example 1 (limit of function with two independent variables) (showing the limit doesn't exist going along the x-axis and the y-axis) 44:14 - Example 2 (limit of function with two independent variables) (showing the limit doesn't exist going along the x-axis, the y-axis, and a linear function) 54:17 - Example 3 (limit of function with two independent variables) (showing the limit doesn't exist going along the x-axis, the y-axis, and a cubic-root function) 1:02:30 - Example 4 (limit of function with two independent variables) (showing the limit doesn't exist going along different paths) 1:12:19 - Limits of functions with three independent variables 1:14:39 - Example 5 (limit of function with three independent variables) (showing the limit does't exist going along different paths) 1:20:51 - Example 6 (limit of function with three independent variables) (reparameterizing the limit: assigning "t" expressions to the independent variables) 1:24:18 - Example 7 (limit of function with two independent variables) (plugging in values to get direct answer) 1:27:22 - Example 8 (limit of function with two independent variables) (plugging in values to get direct answer) 1:29:19 - Example 9 (limit of function with three independent variables) (plugging in values to get direct answer) 1:31:54 - Example 10 (limit of function with two independent variables) (utilizing polar identities to evaluate limit) 1:37:22 - Example 11 (limit of function with two independent variables) (using polar identities and L'Hopital's Rule to evaluate limit) 1:41:48 - Introduction to Continuity in Multivariable Calculus 1:43:53 - Definition of Continuity in Multivariable Calculus 1:49:22 - Example 12 (continuity of function with two independent variables) 1:50:26 - Example 13 (continuity of function with two independent variables) (determining domain of function) 1:51:35 - Example 14 (continuity of function with two independent variables) (determining domain of function) 1:53:33 - Example 15 (continuity of function with three independent variables) (determining domain of function) (domain includes all points except the ones that form that particular SPHERE) 1:55:47 - Introduction to composition problems doing example 16 1:58:40 - Example 17 (composition problem setting "t" equal to f(x,y)) (domain restrictions with g(t)) 2:01:55 - Example 18 (composition problem) (domain restrictions with f(x,y)) 2:04:59 - Introduction to Squeeze Theorem 2:06:30 - Example 19 (Squeeze Theorem)
@SunSunSunn4 жыл бұрын
This video is a prime example of why I never go to lectures. KZbin can explain it 10x better in a shorter period of time. Thankfully for me, medical schools have optional lectures.
@sl-nj5ry6 жыл бұрын
This is the best lecture on youtube! Thank you so much!
@amrhamdy29766 жыл бұрын
I am in computer engineering and this help me so much THANKS
@conservativedeveloper72897 жыл бұрын
1:01:36 Proof Professor Leonard is just a hologram.
@soleegaming32014 жыл бұрын
Here too... (1:18:48)
@chipicaua5 жыл бұрын
You're a gift to humanity i just wish I could watch your lectures IRL but sadly I'm just a NTUA student here in Greece-ville. :( Cheers!
@davekaushik48632 жыл бұрын
Goated prof, nothing made sense before this video, but even in the first 10 minutes, so many misconceptions I had were cleared up :)
@dmkarlien7 жыл бұрын
Thank you professor Leonard for these videos ,it saves lives and also does anyone get that satisfactory feeling when he wipes the board ?
@coolberry984 жыл бұрын
The only teacher using something 3d to explain other than the white board
@Sofialovesmath6 ай бұрын
Incredible stuff, you are a gem.
@mohammedeldakak45925 жыл бұрын
Best professor ever❤️❤️❤️
@ibrahimislam16085 жыл бұрын
You are amazing, Professor Leonard. Thank you.
@revivemuzunzandare4797 жыл бұрын
Thanks very much Professor Leonard
@dezhouung62274 жыл бұрын
Wow, first time watch your vid and learnt a lot. So clear....
@josediaz88623 жыл бұрын
this guy makes me love math. LEGEND
@Ali-qc3ym7 жыл бұрын
thank you best professor ever
@howardwolowitz7625 жыл бұрын
You are the best, my good sir. You are the best.
@jocelyndelangel72318 жыл бұрын
Professor Leonard. First of all thank you for all your help in learning Calculus. I wanted to ask what sections are the ones where you teach how to graph in 3-D. I want to review all of them. Thank you.
@sarkersaadahmed7 ай бұрын
why did i get this channel right now its assining [idk how to spell it]. I wish i could have come across you much earlier. To everyone who is doing cal 1 2 3 or any maths. Professor Leonard please