Definition and classification of hydro and pneumatic machines; typical appearance of centrifugal, mixed-flow and axial pumps and fans; basic parts of pumps and fans; performance characteristics of pumps and fans: flow rate, head, shaft power, efficiency, NPSH (pumps); experimental determination of performance characteristics; affinity laws; dimensionless characteristics; cavitation in pumps; flow control; stability of operation; operation in parallel or in series; start-up and shut-down of pumps; general (four-quadrants) characteristics of pumps; flow kinematics and velocity triangles; Euler`s equation for turbomachinery; secondary flow; part-load and over-load operation; axial force; linear (one-dimensional) theory; one-dimensional calculation of centrifugal impellers; calculation of hydraulic stator components of centrifugal pumps; calculation of mixed-flow impellers; planar hydrofoil and airfoil cascades; calculation of axial impellers; differences between pumps and fans; novelties in theory and practice of rotodynamic machines.