Infopaket

Сalculation methods

ОК 15

Обов’язкова дисципліна для ОП

First

2024/2025

2 Semester

4

The learning outcomes consist of developing algorithmic thinking skills, which lays the foundation for the ability to independently write computer programs and perform complex calculations; students mastering numerical methods for solving algebraic and differential equations, numerical differentiation and integration, ways of solving optimization problems, as well as partial differential equations; the ability to implement numerical algorithms using the Python language and PARI/GP.

Full-time form

To know the basics of mathematical analysis and linear algebra. In particular, to be able to perform the basic operations of integration and differentiation. To know the basics of the Python programming language. To know elementary methods for solving ordinary and transcendental equations.

The discipline "Methods of Computation" is a mandatory academic discipline of the educational program for the preparation of candidates for the bachelor's degree in the specialty "Bachelor of Physics". The course program is aimed at students who are already familiar with mathematical analysis, the basics of linear algebra, and basic programming methods. The learning outcomes consist of knowledge of the main approximate methods for solving algebraic and differential equations, research on the stability of their solutions, construction of approximations for functions, and integration methods. The foundation is also laid for the possibility of independent development of an algorithm for the implementation of various mathematical models that the student may encounter in his further practical activities.

1.Loustau J. Numerical Differential Equations: Theory and Technique Ode Methods Finite Differences Finite Elements and Collocation. New Jersey: World Scientific; 2016. 2.Iyengar SRK Jain RK. Numerical Methods. New Delhi: New Age International; 2009. 3.Altland A Delft Jvon. Mathematics for Physicists: Introductory Concepts and Methods. Cambridge: Cambridge University Press; 2019. 4.Kubrak A. I., Zhuchenko A. I., Sitnikov O. V. Numerical Methods. Algorithms and Programs: Textbook. – K.: Polytechnic, 2012 – 388 p. 5.Rana M Xu W Guo Y. Fundamentals of Computational Methods for Engineers. Sharjah: Bentham Science; 2022. 6.Kythe PK. Introduction to Boundary Element Methods. CRC PRESS; 2020. 7. Mathematical modeling methods: a textbook / O. P. Chornyi, V. K. Tytyuk, N. M. Istomina and others. ; general editor. O. P. Chornyi. – Kremenchuk: PP Shcherbatykh O. V.,2016. –232p.

Total volume 120 hours, including: Lectures – 30 hours Practical classes – 30 hours Independent work – 60 hours

Module tests 1 and 2 are held after the completion of lectures on sections 1 and 2, respectively. Assessment of reports on independent work and interim testing is carried out throughout the course. The final grade for the credit is given as the sum of all forms of semester assessment. The maximum number of points that a student can receive is 100 points. Credit is given subject to the submission of all reports on independent work and writing of all module tests.

Ukrainian