Physics 570
Homework No. 2 1. due Wednesday, 3 February, 2010
On a 2-dimensional manifold, using Cartesian coordinates cfw_x, y , we are given the local vector elds V and C , with components relative to the standard coordinate basis as V x = xy , a. V y =

Physics 570
Homework No. 1 1. Solutions: due Wednesday, 27 January, 2010
Consider a standard 2-dimensional vector space, with the usual Cartesian basis set, cfw_x, y , and a particular vector B 3 2. Now consider a dierent pair of basis vectors, x y e1 2 y

Physics 570
Homework No. 1 1. due Wednesday, 27 January, 2010
Consider a standard 2-dimensional vector space, with the usual Cartesian basis set, cfw_x, y , and a particular vector B 3 2. Now consider a dierent pair of basis vectors, x y e1 2 y , x e2 x +