The basic equations; derivation of the continuity equation, derivation of the equation of motion of an incompressible viscous fluid. Derivation of the energy equation. Exact solutions of the Navier-Stokes equations; Couette flow, Poisueille flow, the flow between two concentric rotating cylinders, Stoke’s first problem, Stoke’s second problem, stagnation flow, flow near a rotating disc. Laminar boundary layers; derivation of boundary layer equations, flow past a flat plate, flow past a circular cylinder. Subsonic potential flows. Application of complex functions to two-dimensional potential flows. Conformal mapping.