SimReal / Python / Matlab: Programming - Exercise - Mathematics - Vector Calculus UiA Logo




SimReal - Python - Matlab
001 - Curve Integral

Program an application for computing the curve integral:

ʃ 5yds along the curve y = 2x0.5 from x = 5 to x = 20.

Let the application be as minimal as possible (no graph drawn),
so this application can be used as a starting point of computing curve integrals.


SimReal - Python - Matlab
002 - Curve Integral

Extend (and change a bit) the exercise in 001, so the curve of integration is also drawn.

Program an application for computing the curve integral:

ʃ xyds along the curve y = 2x0.5 from x = 5 to x = 20.


SimReal - Python - Matlab
003 - Surface Integral

Program an application for computing the surface integral:

ʃ (x2 + y2)dA

where the surface (area) is enclosed by the three lines between the following points:
p1(0,0), p2(0,2) and p3(1,1).


Let the application be as minimal as possible (no graph drawn),
so this application can be used as a starting point of computing surface integrals.


SimReal - Python - Matlab
004 - Surface Integral

Extend the exercise in 003, so the area of integration (surface) is also drawn.

Program an application for computing the surface integral:

ʃ (x2 + y2)dA

where the surface (area) is enclosed by the three lines between the following points:
p1(0,0), p2(0,2) and p3(1,1).


SimReal - Python - Matlab
005 - Divergence and Curl

We have the following vector field:

F = [4x,3x,y]

Program an application for computing the divergence and curl of this vector field.

Let the application be as minimal as possible (no graph drawn),
so this application can be used as a starting point of computing divergence and curl.

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