Introduction to parametrizing a surface with two parameters | Multivariable Calculus | Khan Academy

Introduction to Parametrizing a Surface with Two Parameters

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Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions.

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[Shamap]

13 years, still appreciating the hard work Sal puts in his videos, and especially his drawing skills

[abhiaerospace]

finally... the world has a math teacher.

[jrdnwilkin]

Thanks for helping with my last minute finals studying. Also I believe it should be (3pi/2) on both the S and T axis at about 9:40 rather than (3pi/4)

[ZzSlumberzZ]

i'd like to stop for a moment and appreciate how good the hand drawn illustrations are.

[ngalawena]

I think it should be 3pi/2, not 3pi/4 on your graph. :D

[khanacademy]

@Frinniz you're right. Sorry about that.

[gardeniabeauty]

You're really a great professor. Sometimes the videos are long, but every time i finish one I always understand the concept so much better! (I'm a conceptual person, I have to learn the concept before doing the math. You are GREAT at explaining concepts.) :]

[xMeshuggahx]

I found this video very interesting but I can't find the sequel to it.

Has it just not been uploaded yet?

Thank you

[sumitgupta]

This one reminded me of Grant's (3 blue1brown) topology video in which he maps pairs of ordered points on a loop onto a surface and then onto a torus. Loving this course.

[abinashmandal]

please make videos on differential geometry like fundamental forms of surface

[filomenamendes]

I can't find words for how thankful I am. 🙏🙏

[vinaykumar-dpej]

thank you sir for visulazing the graph !!! and for easy explnation

[prub]

Where can I find the full playlist for the old version?

[julijangrajfoner]

To visualise easier, check out this video at 5:34

[Clammychow]

Bro you are actually a god thank you hope you are doing well 12 years later 💀

[droher]

thats the best looking hand drawn doughnut i've ever seen

[dhimanroy]

Would you please tell me that in which university you take classe and give this illustrious lectures?

[dashiellv]

Why put extra arrows on the axes in opposite directions? Doesn't an arrow mean that there is an increase in that direction?

[johngonsalves]

Surely you are joking Mr. Khan!
270 degrees = 3 pi/2 in leu of stated 3 pi/4
Thanks for all the great insights. I'm very grateful for your help on my budget :0)

[jeffgalef]

What's the difference between a parameter and a variable?