Introductory course to the theory of fluid mechanics. After extending the concepts of kinematics to introduce the strain rate tensor, the surface forces appearing in the interior of the fluid media (pressure and viscous stresses) will be presented. The Reynolds transport theorem will then be used to deduce the conservation, or Navier-Stokes, equations (continuity, momentum and energy), which will be applied in integral form to the analysis of simple problems. Finally, there will be an introduction to dimensional analysis, including the Pi theorem and the concept of physical similarity, with simple applications that motivate its usefulness.