Basic concepts and properties of fluids (density, pressure, stress, compressibility, viscosity, etc.). Statics of fluids and practical applications thereof (balance of forces in a fluid at rest, pressure gradient, the buoyant force and the Principle of Archimedes, Pascal's Principle). Kinematics of fluids (description of the motion according to the methods of Lagrange and Euler, respectively, total derivative, velocity field, acceleration field, pressure field, path lines and streamlines, circulation, volumetric flux, irrotational flow described by means of the velocity potential). Detailed analysis of the motion of fluids (translation, rotation, linear and angular deformation) in various coordinate systems. Boundary conditions, the no-slip condition for real fluids. The continuity equation and the concept of the stream function. Complex potential and applications. Equations of motion for ideal fluids and integrals thereof (the equations of Euler, Bernoulli's Principle, Torricelli's law, Lagrange's theorem) and applications. Equations of motion for real fluids (the Navier-Stokes equations) and applications: Couette flow, Hagen-Poisseuille flow, and others.