Discrete Mathematics

Major: Cybersecurity
Code of subject: 6.125.00.O.031
Credits: 3.00
Department: Computational Mathematics and Programming
Lecturer: Associate Professor Makhorkin Mykola Igorovych
Semester: 4 семестр
Mode of study: денна
Learning outcomes: ZN 14. Knowledge and understanding of the underlying scientific principles cybersecurity and information technology; ZN 15. Skilling in the using of methods of general scientific analysis in the information technology and information security domaine; ZN 17. Ability to use experimental skills calculations of characteristics and choice of elements specific automated system taking into account ensuring the required level of information protection in organizations (at the enterprise); ZN 19. Knowledge of mathematical models of software problems information security and information security. ZN 25. Knowledge of mathematical methods of optimization for the purpose obtaining the best performance characteristics tools and systems.
Required prior and related subjects: Elementary mathematics • Higher Mathematics Part 1 • Higher Mathematics Part 2 • Higher Mathematics Part 3 • Programming Technologies Part 1 • Programming Technologies Part 2 • Information Technology • Probability Theory and Mathematical Statistics • Theory of information and coding • Cryptographic systems and protocols
Summary of the subject: • Elements of the theory of numbers • Congruences • Algebraic structures • Rational points on elliptic curves.
Assessment methods and criteria: • Current control - 13%: • Laboratory work - 42% • Graphically-calculation work - 10% • Certification work. Settlement - 35%
Recommended books: • Special sections of mathematics: teach. manual / A. F. Obshta. - Lviv: Lviv Polytechnic Publishing House, 2019. - 192 p. • Elements of algorithmic number theory: teach. manual / AA. F. Obshta, B.M. Phil - Lviv: Lviv Polytechnic Publishing House, 2021. - 137 p. • Elements of general algebra. Methodical instructions for the course "Special sections of mathematics" for students of the field of knowledge "Information Technologies". Compiled by: A. Obshta. (Manuscript). - Lviv 2017 - 36 c. • Verbitsky O.V. Introduction to cryptology. - Lviv: View of Sciences. Technical Year, 1998. - 248 p. • Discrete mathematics: teach. manual / Strelkovska IV, Buslaev AG, Vishnevskaya VM, Koltsova L. L. - Odessa: ONAT them. O.S. Popova, 2010. - 196 p.