ENG: The proposed methodology "MathFISLearn" for the formation of competencies of applicants for the degree "bachelor" in distance learning in the discipline "Mathematical foundations of information security": 1) the study of basic mathematical concepts, theorems and methods in the following sections: the theory of divisibility; theory of decomposition; number theory; the theory of lichens and the theory of algebraic structures during lectures conducted using the "Zoom" system, 2) algorithmization and programming for the implementation of: Euclid's algorithm; extended Euclidean algorithm; Fermat algorithm; decomposition of the number by dividing by sampling; sieve of Eratosthenes; Miller's test and organization of relevant research during laboratory work, 3) acquisition of practical skills in solving systems of equations according to the module based on various mathematical approaches and means when performing independent work using recommended sources, 4) elaboration of theoretical material using lecturer presentations and passing testing in the "Lider" system.