Fundamentals of quantum theory of scattering are stated in this educational tool. Special attention is paid for calculations of scattering amplitude in the born approximation and the method of partial waves, and also high energy approximation. The relativistic and non-relativistic kinematics of scattering are considered. Specific examples of calculation of cross sections and exothermal threshold of nuclear processes are considered. The educational tool is intended for undergraduates, master and PhD students, studying at physical specialties and knowing the course of nonrelativistic quantum mechanics.