A course of Mathematical Logic and Theory of Algorithms as a mathematical background of modern cryptology

The purpose of this work is to show that the course, Mathematical Logic and Theory of Algorithms, lectured by the authors in National Research Nuclear University MEPhI (Moscow Engineering Physics Institute) is the mathematical background of the cryptology study. Bachelors and specialists information security teaching has to focus attention on the mathematical training, therefore a set of mathematical disciplines should stand before applied cryptography in the curriculum. Due to the rapid development of computer power and information communication, cryptographic techniques have change. Hence, the course of Mathematical Logic and Theory of Algorithms is not fixed and vice versa it is dynamically updated, since changes in cryptographic methods bring out a revision of the mathematical background.