Calculus 3 Lecture 13.7: Finding Tangent Planes and Normal Lines to Surfaces

Calculus 3 Lecture 13.7: Finding Tangent Planes and Normal Lines to Surfaces: How to find a tangent plane and/or a normal line to any surface (multivariable function) at a point. This is based on the ability to find the gradient of a function.

[josiahhamilton]

If I learned one thing from watching these lectures it's that the right siders need to step up their game.

[thebigVLOG]

The reason Leonard is so good isn't because he teaches the math, it's the fact he teaches the intuition. Thanks Prof Leonard

[tedisolebitsa]

0:00 Tangent planes to a surface at a point
29:20 Example 1
52:16 Example 2
1:02:22 Planes and Lines
1:06:40 Example 3
1:15:30 Example 4
1:24:35 example 5 Not completed
1:27:30 Example 6
1:35:25 Example 7

[zarehdarakjian]

I am a computational chemist/physicist. But I am also a private instructor. The two challenges I enjoy facing and resolving are research and making things understandable to the point where they become second nature to the student. I am humbled by this presentation. I know that I am looking at a historic presentation. I am very sensitive! It's only once in a a very long time that we see a presentation that in of itself is a wonder and a masterpiece. This is one of them!

[efivos]

Doing a PhD here... I'm pretty sure your lectures are helpful to everyone from high school to PhD students, as well as from just-curious people to math hobbyists. God bless you.

[xWANTED]

COVID-19 is forcing me to study online but its almost a blessing in disguise. Professor Leonard is the shizznit and is making Calc III a piece of cake!!

[safaaelbayed]

the amount of A's that were made possible because of this man..

[EMBrown]

Watching in 1.5 or 2.0 speed really is like Superman teaching you math.

[naz]

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[lagwagon]

If our professors were half as good as Professor Leonard our education system would be in a much better place. Its sad that we have to come to YouTube to actually get taught a topic that we paid thousands of dollars to learn at a institution. None the less, I appreciate you Professor.

[franciscovassolo]

I did whole calc 1 and 2 with you, and now calc 3. You are the reason I enjoy calculus, and understand it. Thanks, you are the best professor ever. without any doubt.

[methorogood]

Professor Leonard is a wizard. He takes time to explain things, but the time he spends is so worth it. I always walk away with insights that I would never get from other professors or from books. Thank you Professor Leonard for making these ideas accessible to me and others.

[sevalbrusque]

YOU SIRE ARE THE MOST AMAZING TEACHER EVER AND SERIOUSLY YOU MADE ME RELOVE MATH. YOU DESRVE THE FINEST THINGS IN LIFE

[kelumo]

Prof Leonard you the best, I had to sit long hours watching your vids to pass my calc course...shame on my prof who is terrible at explaining concepts and cocky too

[karensc]

My calc professor explained this topic in 12 minutes, with no previous intuition of deeper analysis. Thankfully you're here to teach it all to us. Thank you very much, my Calculus hero <3

[Enlightenchannel]

I watched this whole lecture and had everything worked out. Started solving problems on my assignment until they started talking about linear approximations. I went and started studying my schools resources and now I'm confused.

I literally understood this just fine, and my "formal" education resources actually up ended my understanding and now I feel confused. How do you make sense of something and explain something to a student, only to confuse them later??? Thank god for Prof. Leonard.

[ciarabutler]

cant tell you how helpful these videos are during lockdown. not allowed to attend any lectures and i was really falling behind until i found this channel

[susanlove]

this is one of the coolest ones yet: his lessons are often elegant in their simplicity because he explains it so well. do love being able to go back and re-watch these, at a faster setting.

[georgesadler]

Professor Leonard, thank you for an excellent video/lecture on Finding Tangent Planes/Normal Lines to Surfaces in Calculus. This is another well explained lecture that I really understand from start to finish. This material also takes practice for a solid improvement and deep understanding.

[XxblackoutxX]

Hello Professor! I have been watching your videos since high school and find them tremendously helpful as you clearly explain the concepts and logic behind the steps. I self-studied AP Calculus BC and your Calculus 2 videos were integral to achieving a 5, the highest score! Currently, I'm taking Calculus 3 in university and rely heavily on your videos. However, your Calculus 3 videos do come out after an exam. Do you upload the videos right after your lectures or a few weeks after? If it's the latter, would it be possible to upload them sooner? If you can't, it's completely understandable. However, if you can, It would be most greatly appreciated! -Best regards, a sleep-deprived university freshman

P.S. As of 4/7/16, my class finished covering double integrals and began triple integrals. I thought that fact might be helpful as a reference to how far ahead or behind your class is compared to another class.