  In this manuscript, eigenvalues of the Electron Temperature Gradient (ETG)
modes and Ion Temperature Gradient (ITG) modes are determined numerically using
Hermite and Sinc differentiation matrices based methods. It is shown that these
methods are very useful for the computation of growth rates and threshold of
the ETG and ITG modes. The total number of accurately computed eigenvalues for
the modes have also been computed. The ideas developed here are also of
relevance to other modes that use Ballooning formalism.
