@janhardo 

I bought calculus III lessons

Its very useful an it covers a lot ,although the vectorcalculus packgage is not used here because 
its old lessonmaterial. 
You can study some vectorcalculus this lessons   

@tomleslie 
Thanks!
None of the examples are diificult to understand in both modes,
They are the same ,but in 1D mode it takes some more work for programmer input    
 
 

@tomleslie 

Thanks

You created a small procedure for maple input  with a scalarfunction as argument and a point from this scalarfield.
Outcome of this command is a gradientvector on a levelsurface
Maybe trivial , but stiill complex 

Did not pay much attention for the navigation buttons sofar , but it seems that browsing helppages is possible
But once opening a example worksheet in studentvectorcalculus  the navigation icons are gone
( that is because i am out of the help section ), but there is link to go back to mainpage of student vectorcalculus
So its always possible to go back to the mainpage

Discover also that the help examples  can be in 2D mode too, that's good

Yes , you create a vector function for maple input  mode  
I am doing this now in 2D input mode ( i am doing math in Maple now on two ways.. help..lol))
A function definition is here natural

f(x)= x   .. and you get a function, but now in 2 D input  for a vectorfunction

post_forum_gradientvb_boek_blz_391.mw

@janhardo 

I do need a collection of vectorcalculus worksheets to get a a idea how the calculations with flux are done

@Carl Love 
Thanks!

Important to know the namegiving for this all, for using all formulaes in the ricght  contect.

A surface(S) can be the top (roof) of a 3D figure and a area (A) is the bottom of that figure
A lateral surface from a solid , this all for 3D.  
A function f (x,y,z) is 4- dimensional and the surface levelcurves can be used to calculate the flux for this surface (S) (3D vectorfield)

I am just now practicing with 2D flux and 3D flux for a vectorrfield  

For 3D flux a surface integral (surface S) projected as area integral( area A) can be used and 2D flux using a circulation integral 

After this 3 integrals for vector-function/field
- Green (2D): vectorfunction : flux  
- Gauss (3D) : vectorfield : flux
- Stokes (3D) :vectorfield with rotation(curl) gives circulation

Looks not too  difficult to do this in Maple

@rlopez 
Thanks

I just did it earlier as you proposed now
I realised now that the picture in the book are hollow spheres  : two spheres are  drawed. 
Plotting a massive sphere alone does not contribute much for insight, but the idea was to use the context menu as  exerxcise.
To construct this is via "plotprogramming"  and not intuitive anymore ,
Perhaps there is option in the plotbuilder to draw the two sphere only as circles and adding dashed lines is programming
(but that i don't want to do here : take too much time ).  

I want to do some bookexercises to get used on the contectpanel
 

Drawing a sphere with  this equation x^2 + y^2 + z^2= 1 from contextmenu right away is not possible 
So you need a command to do this : apply a external command? 
i am wondering what packages are connected with the contextmenu?
with(plottools) 
with(geom3d)

To stay in normal calculus or maybe with vectorcalculus with a spacial positionvector ?
Apply a command is using help screen (examples) together with the popup command screen in the widescreen.
Plotting a smooth sphere with radius 1 and 4 
 

@janhardo 
What i did with this expression was:

answer5 := {x = 553.6, y = 455.0}, {x = 553.6, y = -455.0}

copy and paste 

x = 553.6, y = 455.0  now assigning the values to the variabeles: i typed in a semiclon : in the existing  variables x and y
then y/x for arctan , etc 
theta1:=arctan(y/x)

Not using the contectmenu.

Note: still did not find a keystroke for removing a output in a cel in documentmode as well in worksheet mode?

@tomleslie 

Thanks!

Could not find information in Maple about using external code in a procedure, but that are mainly other selfmade or premade procedures then.
What caused this error message with display3d ? ..probably:  with(plots,display3d); in the procedure

Seems to be a existing command , but there is no help for  it. 
A alias display3d, but where defined in worksheet?

  

@janhardo 

A (solution) set must be further manipulated to get a arctan values in this example

Download verzameling_oplossingen_berekening_mee_maken_vb_arctan.mw

@acer 
Thanks

Good exmples for learning the documentmode.

If the student wants to program procedures , then maple input is needed
But using the procedure ability can be handy too in the document mode i think
It seems that there are students now these days who are not using the maple input.

Using the equation labels is for commercial companies who don't have much time for doing their calculations
If this can be done for all sorts of lenghty technical calculations?   

@rlopez 

Thanks

I am glad to that there is 2D inputmode : it makes it easier to study the mathematics were i am interested in.
Did also study some basic programming constructs as maple input, so what you did now is not totally new for me

I can imagine that the student don't like to learn a extra language to learn mathematics
In 2000 there was not other choice when i studied math.
Wondering how this equation z = 4*x^2 - 6*x + 4 in 2D input can achieved ?
I did a attempt , but fill in command : eliminate , but that makes that you must know at forehand this command , lol

For me it doesn't matter if it done in Maple input or 2D input the calculation
But i am curious how it can be done in 2D input, because that is more natural to read the mathemical symbols

I understand the maple input example, so it also faster for me as for you , because 2D input takes longer as pointed out.(update :: see examples ?)
When doing this in Mapleinput you are assured that it is correct, but doing it with 2D input it is more difficult to see if it is the right answer?

In doing mathematics, i like as much as possible in 2D input.
Combining Maple input and 2D input also possible

@Carl Love 
Thanks
 

@rlopez 

Thank you very much for the thoroughly answer of my question.

I do see my book handles this task (on two ways)  also with he parameter t
A line is parametrized with t and by a given line you can then come up with more then one parametrization.
But in your example is direrctly done for the curve as function y=g(x)
Manipulation on expressions is diificult to master for me, but i can learn from this example

Complete square can also of course.be used on 4*x^2 - 6*x + 4

I looked also to eleminate in the help :

The result of this elimination is an expression sequence of lists.  Each list represents a possible elimination of the given variables. => that is not the output on screen ?
A list that has sets as elements in the examples.

The result of this elimination is an expression sequenze of sets in a list as outcome in the examples for the eliminate examples in help?
Probably i am wrong and its deeper under the hood of Maple 

@janhardo 

Seems that a equation of a intersection is needed

Download vb4-blz204-toegepate_wiskunde_deel2.mw