  This work is a review of the last results of research on the Scalar Field
Dark Matter model of the Universe at cosmological and at galactic level. We
present the complete solution to the scalar field cosmological scenario in
which the dark matter is modeled by a scalar field $\Phi$ with the scalar
potential $V(\Phi)=V_{0}(cosh {(\lambda \sqrt{\kappa_{0}}\Phi)}-1)$ and the
dark energy is modeled by a scalar field $\Psi$, endowed with the scalar
potential $\tilde{V}(\Psi)= \tilde{V_{0}}(\sinh{(\alpha
\sqrt{\kappa_{0}}\Psi)})^{\beta}$, which together compose the 95% of the total
matter energy in the Universe. The model presents successfully deals with the
up to date cosmological observations, and is a good candidate to treat the dark
matter problem at the galactic level.
