Elementary concepts of dynamical stability,  fundamental notions of geophysical fluid dynamics, linear waves in shallow-water, linear wave theory and applications (equatorial waves, sea-waves, tides), unstable waves, linear theory (Kelvin-Helmholtz, baroclinic and barotropic instability),  oscillation and relaxation phenomena in the ocean-atmosphere system across scales (annual to millennial) and their contribution to the spectrum of variability, critical phenomena.