The article is devoted to teaching methodology of the topics "Secondary quantization" and "Quantum Harmonic Oscillator". The importance of secondary quantization methods in the scientific and educational activities of students is revealed. The author also speculates on the importance of the problem of a harmonic oscillator. The methods for solving this problem are analyzed. The advantages of the presentation of the theme "Quantum Harmonic Oscillator" are discussed as an example illustrating the application of the method of secondary quantization.

The article deals with the role of preparatory faculties in pre-university training of foreign citizens. The necessity of formation of professional and language competence of foreign students is substantiated, the features of such formation in accordance with the levels are considered, the assessment means of formation of the competence at each level are described, thespecific examples of tasks for each level are given in the article.