I'm having no difficulties to understand the theorical concepts about the Generalized Stokes Theorem, but I'm having trouble to applying it.
Let $M$ the semiellipsoid in $\mathbb{R}^{3}$ defined by $4x^{2}+y^{2}+4z^{2}=4$ and $y\geq 0$. Show that M is, in fact, an oriented 2-manifold and describe the boundary of $M$. Well, to describe $\partial M$ is easy.
How can I find the induced orientation for $\partial M$ by the orientation of $M$? Actually, is there any method to find a orientation?
If I know that I can verify the Stokes Theorem, but I'm not getting.