Summary of lectures - Krasnoyarsk: SibFU, 2007. - 183s. Contents:Object and methods of continuum mechanics. Basic definitions and axioms. Integral Conservation Laws . Continuous movements. Equations of strong discontinuity. Elements of Thermodynamics . Equations of motion of non-viscous (ideal) media. Kinematics of fluid currents. Mathematical model of the flow of viscous incompressible fluid. Navier-Stokes equations. Movement of the ideal fluid. Integral Bernoulli . Speed Circulation. Thompson, Lagrange and Bjrknes theorems . Hydrostatics. Flat vortexless motions of incompressible fluid. Circumference of arbitrary contour. Postulate Zhukovsky . One-dimensional motions of gas. Viscous fluid movement. Layered currents in channels and round tubes. Basic Concepts of Border Layer . Circumference of the ball at low Reynolds number values. Stock Formula. Linear theory of hydrodynamic stability . Basic Concepts of Sustainability Theory . Method of small perturbations. Linearized task. Kelvin-Helmholtz instability . Applications of the theory. Convection of Rayleigh-Benar. Stability of parallel currents. Squire's Theorem . Slaboneline theory . Foundations of Nonlinear Theory . Basic Concepts of Filtration Theory . Mathematical models of single-phase filtration. Single-dimensional filtration. Elastic Filtration Mode. The theory of two-phase filtration. Features of filtration of non-Newtonian liquid. Movement of liquids and gases in fractured-porous media. Basic and additional literature