Numerical Methods
Course: System Analysis
Structural unit: Faculty of Computer Science and Cybernetics
Title
Numerical Methods
Code
Module type
Обов’язкова дисципліна для ОП
Educational cycle
First
Year of study when the component is delivered
2023/2024
Semester/trimester when the component is delivered
5 Semester
Number of ECTS credits allocated
3
Learning outcomes
Know the basics of calculation methods.
Know the numerical methods of analysis.
Be able to apply numerical methods in practice.
Be able to write technical documentation on the results of solving the problem.
Form of study
Distance form
Prerequisites and co-requisites
1. Know information on mathematical analysis.
2. Know information on linear algebra.
3. Know information from differential equations.
4. Know the basics of programming.
5. Be able to create software applications for calculations and visualization of results.
Course content
The discipline "Numerical Methods" is part of the cycle of professional training in systems analysis. The course describes the main numerical methods for finding approximate solutions of problems in computational mathematics: finding solutions of nonlinear equations, systems of linear algebraic equations, Cauchy problems, boundary value problems, calculating integrals, approximation of functions, finding solutions with given accuracy. Discipline is a must. She uses the concepts of mathematical analysis, linear algebra, differential equations.
The course is taught in the 5th semester, 90 hours (3 ECTS credits), of which lectures - 28 hours, laboratory - 14 hours, consultations - 2 hours, independent work - 46 hours. There are 2 content parts and a test.
Recommended or required reading and other learning resources/tools
1. Golubeva KM, Denisov SV, Kashpur OF, Klyushin DA, Ryzhenko AI Numerical methods of integration. - Publisher: Lesya. - 2019. - 55p.
2. AA Samarsky., P.N. Vabishchev, EA Samarskaya. Tasks and exercises on numerical methods. Librocom. - 2016. - 208 p.
3. N. Kalitkin. Numerical methods. - BHV-Petersburg. - 2014. - 592 p.
4. Demidovich BP, Maron IA Fundamentals of computational mathematics. M. Science, 1966.
5. Bakhvalov NS Zhidkov NP Kobelkov GN Numerical methods. M. Science, 1987.
6. Volkov AF Numerical methods. M. Science, 1982.
7. Monastyrsky PI Collection of problems on calculation methods. Minsk, University, 2000.
8. Makarov VL, Gavrilyuk IP Calculation methods. Kyiv, Higher School, 1995
Planned learning activities and teaching methods
Lecture, laboratory work.
Assessment methods and criteria
Defense of laboratory work
Language of instruction
Ukrainian
Lecturers
This discipline is taught by the following teachers
Departments
The following departments are involved in teaching the above discipline