Evaluation

Sessions

 

1.      In C consider the square with vertices A(1,0),B(0,i),C(-1,0),D(0,-i).

a)      Show that the segment AB is homotopic in C -{0} to the small arc AB of the circle centered at (0,0) of radius 1.

b)      With denoting the boundary of the square, evaluate by two methods the integrals

and .