The course provides a more in-depth treatment of analytical fluid mechanics (AFD) than is possible at the level of the first course. The first part of AFD is devoted to basic concepts, integral and differential equations of fluid motion, boundary conditions, exact solutions, inviscid approximations, and dimensional analysis and similarity. The second part of AFD is concerned with the theory of incompressible laminar and turbulent viscous and inviscid flows with selected applications. Internal and external flows: laminar and turbulent viscous flow in circular and non-circular ducts; duct systems and losses; laminar and turbulent boundary layers; lift and drag; free shear flows, and potential flow theory.