University:
Whitman College
Course:
MATH-225 | Calculus III
Academic year:

2020
Views:

407

Pages:

4
Author:

Mencatoc77

Examples for how to plot a vector field in Maple. Its straightforward and a useful way to visualize these. Example 1: F(x,y)=<-y,x>. In the first plot (default), the vectors are scaled in a relative way (note that the vector at (1,0) is <0,1> which has length 1). See the help file (look for "fieldstrength"). In the second plot, we scale all vectors the same: > with(plots): > fieldplot([-y,x],x=-1..1,y=-1..1); > fieldplot([-y,x],x=-1..1,y=-1..1,fieldstrength=fixed); > fieldplot3d([x,-y,-x],x=-1..1,y=-1..1,z=-1..1); Plot level curves of f together with its gradient vector field. (Here, f(x,y)=cos(x)-2sin(y)) > F:=cos(x)-2*sin(y); (1) > A:=fieldplot([diff(F,x), diff(F,y)],x=-7..7,y=-7..7); (2) > B:=contourplot(F,x=-7..7,y=-7..7); (3) > display(A,B);

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