Calculus 3 Lecture 13.3: Partial Derivatives (Derivatives of Multivariable Functions)
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- čas přidán 13. 03. 2016
- Calculus 3 Lecture 13.3: Partial Derivatives (Derivatives of Multivariable Functions): How to find the slope of a tangent line to a surface in the X-Direction and Y-Direction. Focus is on the concept of a partial derivative and several examples. Also included is implicit differentiation and higher order partial derivatives.
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
That moment when you wish you started watching these videos from the beginning of the semester not now two days before the exam ...
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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 😆
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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
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"Shall We No Fail"
Goatnard
Ex,Partial Derivatives 40:20
Implicit Derivatives 1:16:16
Higher Derivatives 1:40:24
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Bless
shukran
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@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)
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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.
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But most are buff
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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.
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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!
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.
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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.
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1:52:38
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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!
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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.
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ForeverBored lmfao
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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 .
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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.
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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-)
I was very excited for this class!
Just two days ago I was wondering if you had a partial derivative video.
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?
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@@emt4921 yes tesaktual.
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May you long live with happy life
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
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.
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.
Finally i can find the slope of a tangent line to a surface in another dimension, can't wait to put it into practise.
Superb video!!!A 100 likes from India!!