Mathematical foundations in information and cyber security

Course: Cybersecurity

Structural unit: Faculty of information Technology

Title
Mathematical foundations in information and cyber security
Code
ОК 24
Module type
Обов’язкова дисципліна для ОП
Educational cycle
First
Year of study when the component is delivered
2021/2022
Semester/trimester when the component is delivered
1 Semester
Number of ECTS credits allocated
11
Learning outcomes
Knowledge: theoretical foundations of linear, vector algebra and analytical geometry, differential and integral calculus of functions of one and many independent variables; ordinary differential equations; numerical and functional series. Ability: perform operations on matrices, check for compatibility and solve systems of linear algebraic equations, find eigenvalues and eigenvectors of a linear operator, perform operations on vectors, compose different types of equations of a line and a plane, investigate the shape of a curve and surface of the 2nd order according to its equation, construct the specified lines and surfaces in the coordinate system, determine their relative location; to find the limit and derivative of a function, to investigate the analytical behavior of a function of one and many variables using the methods of differential calculus; integrate the function of one and many variables, apply integral calculus to solving applied problems.
Form of study
Full-time form
Prerequisites and co-requisites
There are no previous requirements for the discipline
Course content
The program of the discipline "Mathematical foundations in information and cyber security" covers the main sections of linear, vector algebra and analytical geometry, mathematical analysis, in particular differential and integral calculus of functions of one and many independent variables, differential equations and series. The goal of studying the discipline is the formation of students' basic mathematical knowledge and competencies for solving problems in professional activities, analytical thinking skills and mathematical formulation of applied problems.
Recommended or required reading and other learning resources/tools
1. Mathematics at a technical university: Textbook / I. V. Alekseeva, V. O. Gaidei, O. O. Dykhovychny, L. B. Fedorova; under the editorship O. I. Klesova; KPI named after Igor Sikorsky. Kyiv: "Condor" Publishing House, 2018. Vol. 1. 496 p. (in Ukrainian) 2. Mathematics at a technical university: Textbook / I. V. Alekseeva, V. O. Gaidei, O. O. Dykhovychny, L. B. Fedorova; under the editorship O. I. Klesova; KPI named after Igor Sikorsky. Kyiv: "Condor" Publishing House, 2019. Vol. 2. 504 p. (in Ukrainian) 3. Mathematics at the technical university [Electronic resource]: textbook / I. V. Alekseeva, V. O. Gaidei, O. O. Dykhovychny, L. B. Fedorova; under the editorship O. I. Klesova; KPI named after Igor Sikorsky. Kyiv: KPI named after Igor Sikorskyi, 2021. T. 3. 454 p. URL: https://ela.kpi.ua/bitstream/123456789/39003/1/MTU3.pdf (in Ukrainian) 4. Denysiuk V. P., Repeta V. K. Higher mathematics. textbook: in 2 p. Part 1. Kyiv: NAU, 2013. 472 p. (in Ukrainian)
Planned learning activities and teaching methods
Lectures, practical activities, individual work
Assessment methods and criteria
The level of achievement of the planned learning outcomes is defined as the total grade for the student's work in the semester and the result of the final control in the form of a written exam. The condition for receiving a positive final grade for a discipline is to achieve at least 60% of the maximum possible number of points - 60 points out of 100. The student is allowed to take the exam on the condition that he completes the 20 practical assignments provided by the plan and two modular control assignments, which in the end must be at least the recommended minimum of 36 points (60% of the maximum possible number of points that
Language of instruction
Ukrainian

Lecturers

This discipline is taught by the following teachers

DEPARTMENT OF APPLIED INFORMATION SYSTEMS
Faculty of information Technology

Departments

The following departments are involved in teaching the above discipline

DEPARTMENT OF APPLIED INFORMATION SYSTEMS
Faculty of information Technology