Infopaket

CalculusMathematics

ВК 2.7.10

Вибіркова дисципліна для ОП

First

2023/2024

7 Semester

3

Know: the composition of the error of the result of a numerical solution of a problem; the method of simple iteration and the Seidel method; Newton's method for solving systems of nonlinear equations; Lagrange interpolation polynomial; first and second Newton interpolation polynomials; extrapolation and inverse interpolation; interpolation by splines; numerical differentiation and numerical integration; least squares method. Know the methods of solving systems of linear algebraic equations (Gauss method, simple iteration method and Seidel method). Apply modern methods to solve systems of nonlinear equations (Newton's method); construct the Lagrange interpolation polynomial, as well as the first and second Newton interpolation polynomials; extrapolate data. Perform numerical differentiation and numerical integration using the Newton-Cotes formulas.

Full-time form

The applicant must have basic knowledge of higher algebra, differential and integral calculus, and mathematical analysis.

Acquaintance and mastery of modern methods of computational mathematics, theoretical provisions and basic applications of mathematical methods of approximate calculations in geology.

1. Lyashchenko M.Y., Golovan M.S. Numerical methods. - K.: Lybid, 1996. -288 p. 2. Numerical methods (basics of computational mathematics). Study guide.- Kyiv, -VPC: ‘Kyiv University’, -2000, -249 p. 3. Feldman L.P., Petrenko A.I., Dmitrieva O.A. Numerical methods in computer science - K.: BHV Publishing Group, 2006. - 480 p. 4. Gavryliuk I.P., Makarov V.L. Methods of computation: Textbook. - K.: Higher School, 1995. - 367 p. 5. Numerical methods for solving applied problems: a textbook / O. Goncharov, L. Vasylieva, A. Yunda - Sumy: Sumy State University, 2020. 142 p. 6. Volontyr L.O. Numerical methods: Study guide / Volontyr L.O., Zelinska O.V., Potapova N.A., Chikov I.A., Vinnytsia National Agrarian University: VNAU, 2020 - 322 p.

Lectures, practical work, independent work of applicants.

The control is carried out according to the module-rating system and involves 2 module tests and 6 practical works. The final assessment is conducted in the form of a written and oral test. The condition for admission to the test is that the student receives a total of at least 46 points per semester.

Ukrainian