  Ca$_3$Ru$_2$O$_7$ undergoes an antiferromagnetic transition at
$T_{\text{N}}=56 $K, followed by a Mott-like (MI) transition at
$T_{\text{MI}}=48$ K. This nonmetallic ground state, with a charge gap of 0.1
eV, is suppressed by a highly anisotropic metamagnetic transition that leads to
a fully spin-polarized metallic state. We report the observation of
Shubnikov-de Haas oscillations in the \textit{gapped} state, colossal
magnetoresistance in the inter-plane resistivity with a large anisotropy
different from that observed in the magnetization, and non-Fermi liquid
behavior in the metallic state at high magnetic fields.
