@acer thanks, it stops wasting my time thinking of it :) appreciate

@Rouben Rostamian  

Thank You again.

Now I got it. Didn't know tha a list repesntation and vector representation of functions works the same in plots. I haven't found it in Maple help so thanks for enlightment :)

You are absolutely right with parameter, I checked and it worked of course. 

Maybe not only me has such an issue sometimes, that trying to make some basic math in Maple get stucked with some graphing details and one problem takes whole day instead of 5 minutes, which in fact shuld be main benefit of using Maple :)

But without Your help I would struggle much longer I suppose. So thank You once more.

It is an evening now where I am living so good night my friend.

@Rouben Rostamian

Thank You. This is exactly what I need from geometry point of view. However I am not sure how have You done it because I do not understand the philosophy of plotting vector functions in Maple. 

The idea of this work was taken from Stewar Calculus book regarding line integrals, ch.16.2:

I want to have visualisation done of such problems in Maple for better undestanding the math.

Could it be done also with parametric curves basing on one parameter (like "t")?

@Carl Love 

This would be spacecurve where x =-1..1 y=(1-x^2)^0.5 and f(x.y)=2+x^2*y

@tomleslie 

Thanks. It works but I need to define surface by equation also, not by a shape since some shapes may be difficult to obtain form proimitives. But it is simple and elegant as I asked. Thank You :)

@mmcdara 

Thank You. This works and I was looking at something like this.

Also works with parametrically defined curves, which I was looking for.

Well done :)

@C_R 

It is a whole new way of doing the task. Thanks. I am looking inside of Your file and see how much I still do not know about Maple :).

Is there any good tutor from beginners to advance to learn different technics and options when working with Maple? Whatever I was able to find was a single videos on different topics. I would appriecte some more detailed course.

But thank You a lot for help, lesson, and Your time spent on this. 

Btw. why You uses map() command? It is only for checking or any other purpose?

@mmcdara 

Your way of solving the isue is working. I still am not sure where was my misteke bu I suppose it wa because I wanted to do it step by step and used subs command and tried to replace variables, like I would do it on paper, when I tried to do the same with Your solution it did create mistake again. 

So I will use Your way since it works like a charm :)

Thanks and kind regards

Marcin

Hi,

Thank You all for Your answers. I hoped for some short and clear way to proceed and it came :)

I can continue to enjoy Maple.

Regards