1. Introduction. Transport Equations. 2) Equations for the energy conservation in heat conduction. Stationary heat conduction problems with variable thermal conductivity. Stationary heat conduction in the presence of an internal heat source. Analytical methods for solving the problem of non-stationary heat conduction. Heat conduction through rods and fins. 3) Convective heat transfer. Equations for the conservation for convective heat transfer. Equations for the conservation in a turbulent convective spread of heat. The theory of similarity in convective heat transfer. 4) Solutions to the laminar heat transfer problems. 5) Turbulence models. Solutions to the turbulent heat transfer problems. 6) Numerical methods. Finite difference method. 7) Numerical methods. Finite volume method. 8) Fick’s constitutive relation for 2k systems. 9) Diffusivity. 10) Convective mass transfer. 11) Steady-state, one-way molecular diffusion in binary systems. 12) Equimolar diffusion. 13) Diffusion through a stagnant medium. 14) Fundamentals of mass transfer in multicomponent systems.