Thanks

The book is not helping  by explaining the method used
In Dutch language it is lijnintegraal
There are lineintegrals in Maple too( looked there), but they are all related with vectorfields, although there is a definition of curvilinear integral  under 2.a in maple help to find
But there was no example to find here.   
 

Its only by graphing this path integral for some t -values i was hoping that it becomes more clear for me

@janhardo 

I made a little start inthe vectorcalculus by drawing a 3D vectorfield. 
-don't know the type of vectorfield  and the meaning of a flowline at a given point.
I used the VectorfierldTutor() and a command generated by the tutor of the same field, but the plots differ.

Using a example in a Dutch studybook and at time there was no visulisiation of a vectorfield possible (1996/97), because no example in the book   
A 2D velocity vector field transformed as a system of a ODE and  the flowlines are integralcurves to start with. 

Download Toegepaste_wiskunde_-vectoranalyse-lijn-en_oppervlakte_integralen.mw

@rlopez 
Thanks!
Yes, Maple apps .? ..portal 
DifferentialGeometry package.has certainly my interest, but it seems not easy accesible for a starter
It's not a topic in engineering mathematics ?
Luckily these days a lot of information can be found on internet. 
Tensor  algebra/calculus as the next step after vector calculus..interesting 

@rlopez 

Thanks!

Useful to use a paper oversight what is to see in the webinar.
I looked also to : Classroom tips and techniques: vectors in the LinearAlgebra, etc 
Can't download as a Maple file on website
 

Its from 2007: does it have still importance this worksheet?  

@rlopez 
Thanks!

I studied already parts of the webinair.
It stays always difficult (impossible too) to study a particular math concept not in a classroom teached
So i must use different sources of studymaterial for vectorcalculus

Doing this with Maple is another challence.  

@tomleslie 

Thanks
Its only not the whole folium ?

@acer 

Thanks!

Yes, the textbook from mr.  Lopez is interesting, but a little bit too expensive for me now ( no-second hand to find yet)
But the links are helpful too , because its only related the information with mr. Lopez.

Note: to be a engineer always desired and got a  education in mechanical engineering prior to a technical college what i did not finished , because a lot of reasons.  
 

@tomleslie 
Thanks
Yes, examples i can study the examples  them and then a textbook. 

Try to get the folium of descartes as positionvector defined , but did not get the graph yet.

Folium_of_Descartes_via_vector_functie.mw

I try to define this position vector for the folium in the Position Vector Constructor too, but no idea how this constructor exactly works ( video ?--or examples ).  
In student vectorcalculus there are the basic coordinate sytems and the Posion vector Constructor is from the main vector calculus package : i need a definition for the polar positionvector as example made by the constructor

 

@janhardo 

Ok, it doesn't matter if  i use a Maple prompt or not in documentmode for the 2D input , because it generated the same 2D output.
I practiced  further with matrix and vector notation and now is all working as intented.

@janhardo 

What is the best way to do vectorcalcus :  documentmode with a maple prompt? 

Some calculations with the new basigrid plot showing coordinate transformation, but its going not well unfortunaly.
I studied the  vidoexample for vectorcalculus , but nothing about how to do in what calculation mode to perform the vectorcalculus? 
I think a do vector calculus in the document mode - with or without maple prompt what makes the difference ?


Maple Worksheet - Error ..This error why ?

Failed to load the worksheet /maplenet/convert/vb_coordinaten_transformatie_-zie_boek-blz115.mw .
 

Download vb_coordinaten_transformatie_-zie_boek-blz115.mw

@janhardo 

No, it is not shocking after studying the code again, because the old procedure is more userfriendly for the procedure input parameters.
Makes corrections if you input the wrong datatype too.
It has 3 errortypes:
-3rd argument in the form [a,b] required
-Argument could not be converted to type Vector
-Vectors must have two components

The modern parameter specification comes also with error message whatever the input parameters are :
-Error, (in Basisgrid) 3rd argument in the form [a,b] required
-Error, (in Basisgrid) Vectors must have two components

The error :Arguments could not be converted to type Vectors this type error this will the modern procedure not show i think 

  

@Carl Love 
Thanks

Your procedure did the job and shows the grids, well done!
Comparing the two procedure code is  litttle bit shocking

Indeed its confusing/complicated to introduce 3 args and check these args if they are the right datatype on this way
This modern parameter specification is be used/developed in the latest versions of Maple ? 
If there is a wrong parameter specification then Maple take care for this and no need to program this error messages  as it seems. 

@Karen 

Thanks

Yes, i was alredy be aware of the favourites palette!

But suppose i do want make a palette for say dedicated to vectorcalculus or geometry ..or in general from a package?

@Scot Gould 
Thanks

As math teacher for secondairy schools(B ed)(retired) i don't got a thouroughly training in Maple and in all kind of mathematical topics.
So thought that the dot was reserved for the vector calculus ( and also seen in a video from Maplesoft )

Although i see a example in studymaterial : fluxies.. and i remember.. Newton: his calculation of fluxies?  
It's now only a question of using the right symbols for a vector then.

Seems to me that the ideal situation would be that there is a  2D Input and also a 2D output what is more simplified without differential forms.

The differential equation eq has as output a differential form.
If you should use this eq in the procedure P(eq)  you get the same output as input, but it is a limited use only for differential equations.

Replacing in the output the differential form by a letter with prime.
Its teached in textbooks this differential form as differential quotient or a seperate differentials dy and dx  

So for learning calculus with maple the differential quotient form has to be used.
Ideal should be that a user who knows the basics of calculus can chance the differential (qoutient ) form notation 2D Output into a simpler form.
Don't know if there is simpler notation possible for partial deratives ?

Indeed it looks great the vector equation, easy to read.

Adding a tasktemplate with he name palette could be a start for a new palette?