Calculus 3: Triple Integrals (3 of 25) Choosing a Coordinate System: Cylindrical

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@tiuk23 7 жыл бұрын

This is incredible. I never understood why I have to put 'r' on front of dzdrd(theta). Your explanation of coordinate system made everything clear. I can't wait for spherical coordinates to appear. I have a feeling that one day, you sir, will become famous among most of the students over the entire world. Greetings from Poland. ;)

@MichelvanBiezen 7 жыл бұрын

Yes, it is fun when we begin to understand. Glad to be of help and welcome to the channel!

@hamidthephysicist6376 5 жыл бұрын

For us we gotta use the Jacobian determinant to figure it out ! Much easier using this drawing .

@suryamgupta4467 4 жыл бұрын

Yeah I always had the same doubt, but it all came down to theta = length of arc / Radius concept (theta = l/r)!

@suryamgupta4467 4 жыл бұрын

@@MichelvanBiezen Thank you so much!

@TheProblembaer2 Жыл бұрын

Thank you, I learned incredible much in your online lectures. Your students can be glad to have such a great resource at their hands. All the best from Germany.

@MichelvanBiezen Жыл бұрын

Thank you. Glad you found our videos and welcome to the channel! 🙂

@Danielagostinho21 4 жыл бұрын

I'm impressed on how natural the r came up. In my school they say that's the jacobian, some kind of a determinant of the transformation, but it's easier to think the way you showed

@joeyGalileoHotto 3 жыл бұрын

The professors don't know how to make things easier for students. They talk like they're doing their research.

@Insominia-xo3fy 11 ай бұрын

May God bless you! You saved me at the last moment

@MichelvanBiezen 11 ай бұрын

Thank you. Glad you found our videos. May God bless you as well.

@nathaniellaid6557 4 жыл бұрын

Wow, amazing now I understand the original method and where the formula originates ! Thank you Sir it`s a great work....

@shivambhise5468 7 жыл бұрын

sir your videos are really clears the concept . I will request you that in india IIT is the most though exam and I recommend you the view once the syllabus of IIT by which we can clear the concept easily more you can get more views and like and subscribes promise .......AND SIR PLEASE REPLY

@MichelvanBiezen 7 жыл бұрын

I will have to check out the IIT exams. We are currently working on techniques to solve the JEE test problems. I am studying the tests to see what the best strategy is since they don't give you enough time to work out every problem in detail, so you have to use the understanding of the concepts to quickly find the correct answer. Do you know the difference between the IIT and JEE exams?

@shivambhise5468 7 жыл бұрын

Michel van Biezen yes sir jee is joint entrance exam the exam for IIT which is indian institute of technology that means it is an exam (jee) to go to the best engineering colleges .

@shivambhise5468 7 жыл бұрын

Michel van Biezen sir can I get your email address..

@NilupulieSumanasiri 4 жыл бұрын

I have come up with a problem of a cylinder that is laid horizontally. So that the height of the cylinder is at x direction, while the base lays in yz plane. Will it be correct if I take x-direction as the height, and take the volume integral considering r,θ and x, instead of r,θ and z?

@MichelvanBiezen 4 жыл бұрын

It doesn't matter which direction you place the cylinder. Try it and you should get the same answer.

@MisterBinx 3 жыл бұрын

One thing that bothers me about the differential element is that the inside arc length is smaller than the outside. So why are we using the longer outside arc length as the dimension to calculate the element's volume? Are we just pretending that the change in radius doesn't (dr) doesn't matter?

@avnguyen123 6 жыл бұрын

Excellent video. Thank you sir.

@y0ake77 3 жыл бұрын

Which book should I refer for these concepts and derivations??

@MichelvanBiezen 3 жыл бұрын

Any calculus book will cover these topics

@y0ake77 3 жыл бұрын

@@MichelvanBiezen thank you sir

@007myzorro 7 жыл бұрын

Michel, I can't find the rest of the serie about the triple integrals more precisely vidéo 4 to 25 of the tri integrals. Please help. Thanks!! bernard van Lierde

@MichelvanBiezen 7 жыл бұрын

Hi Bernard. We are still working on those. They will be published over the next several weeks. (Beste groetjes van LA)

@nadir2183 10 ай бұрын

Hello dear teacher. Why integral of r*dr is equal to r^2/2

@MichelvanBiezen 10 ай бұрын

The rule is to add 1 to the exponent and then divide by the new exponent. This rule is explained in the calculus 1 videos.

@xoppa09 7 жыл бұрын

As r dΘ, dr and dz get arbitrarily small, the volume element looks like a cube. So we can use the volume formula for a cube, even though it does have rounded edges?

@MichelvanBiezen 7 жыл бұрын

You can also use a cube (dx dy dz) but it is typically much harder if the object has the shape of a cylinder.

@SamoanFor4everxx23 Жыл бұрын

How can I know if whether I should use double or triple integral?

@MichelvanBiezen Жыл бұрын

Sometimes it depends on the method you use and you have a choice. Sometimes there is no choice.

@SamoanFor4everxx23 Жыл бұрын

@@MichelvanBiezen so in the exam the doctor will ask me to use spherical method or cylindrical? I am pretty good at both but a little bit confused on how to start

@MichelvanBiezen Жыл бұрын

Typically on an exam a specific method will be asked to be used. Sometimes that is not specified and any method can be used. Sometimes, if this is a first or second semester calculus course where tripple integrals have not been introduced, then the methods are limited to those methods covered so far.