Week 3 Multi-Variate Integration II Flashcards
1
Q
when transforming between coord systems what must you find
A
Jacobian
2
Q
what is the generic Jacobian equation
A
dxdydz = | J(u,v,w) | dudvdw
3
Q
why do we take the modulus of the Jacobian
A
to ensure positive area/volume etc
4
Q
what is the Jacobian in matrix terms
A
it is the determinant of a vector whose size is determined by the number of elementals (eg 3x3 for vol but 2x2 for area)
