Infopaket

Numerical Methods

ОК 27

Обов’язкова дисципліна для ОП

First

2021/2022

6 Semester

5

As a result of studying the discipline, the student acquires the following competencies: Knowledge: stages of a computational experiment and the nature of its errors, error estimation methods, basic numerical methods of algebra and mathematical analysis. Ability: reasonably apply numerical methods for solving applied problems, evaluate the effectiveness of numerical methods, in particular convergence, stability, and complexity of implementation, develop algorithms for numerical methods implementation programs, and use existing mathematical packages. Communications: the ability to justify own view on the problem being solved, to report the results of own work.

Full-time form

The discipline is based on the competencies acquired by students during the study of academic subjects discipline: "Linear algebra", "Mathematical analysis", "Fundamentals of algorithmization and programming", "Packages of applied programs", in particular, to master the discipline, you need to know: the basics of linear and vector algebra; differential and integral calculus, theory of differential equations, series, algorithmization and programming; be able to: use software applications for calculations and visualization results.

The educational discipline "Numerical methods" is aimed at studying the basics of computational mathematics, inculcating the skills of numerical research of mathematical models of applied problems that are impossible or difficult to solve analytically. The course examines the main numerical methods of algebra and mathematical analysis, the conditions of their application, the disadvantages and advantages of each individual method. The purpose of studying the educational discipline "Numerical methods" is to provide students with theoretical knowledge and practical skills of numerical solution of mathematical models of applied problems of various types of human activity.

1.Zadachyn V.M., Konyushenko I.G. Numerical methods: education. manual Kharkiv: KhNEU, 2014. 180 p. 2.Tretynyk V. V., Lyubashenko N. D. Calculation methods: academic. manual for students Specialties 113 "Applied Mathematics", specializations "Data Science and Mathematical Modeling". Kyiv: KPI named after Igor Sikorskyi, 2019. Part 1: Numerical methods of algebra. 138 p. URL: https://ela.kpi.ua/handle/123456789/28225. 3.Romaniuk M. I., Batina O. A. Computational mathematics. Synopsis of lectures: teaching. manual for students specialty 171 "Electronics", specialization "Electronic and information technologies of cinematography and audiovisual systems". Kyiv: KPI named after Igor Sikorskyi, 2019. 193 p. URL: https://ela.kpi.ua/handle/123456789/27922. 4.Numerical methods: Study guide. / Volontyr L.O., Zelinska O.V., Potapova N.A., Chikov I.A. Vinnytsia: Vinnytsia National Agrarian University, 2020. 322 p. 5.Lyashchenko M. Ya., Golovan M. S. Numerical methods. Kyiv: Lybid, 1996. 288 p.

Lectures, laboratory classes, individual work

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 8 laboratory works and two tests provided by the plan, which in the end must be at least the recommended minimum of 36 points (60% of the maximum possible number of points that the student can receive for work in the semester). The exam is conducted in the form of a test with 20 questions, among which 50% are theoretical and 50% are practical. To receive a positive grade, a student must receive at least 24 points (60% of the maximum possible number of points) on the exam.

Ukrainian