The aim of the course is to physically and mathematically investigate the flow phenomena leading to theoretical prediction and experimental verification, with the primary objective of documented, safe and immediate technical application. The course covers the following units: Basic concepts and definitions. Properties of fluids. Kinematics. Newtonian and non-Newtonian fluids. Macroscopic flow analysis. Differential equations of flow. Boundary layer theory. Introduction to Viscous flow. The course is accompanied by an optional computational laboratory, designed to familiarize students with approximate solution to flow problems that cannot be solved by analytical mathematics and graphical representation of flow.