Infopaket

Mathematical Analysis

ОК 5.

Обов’язкова дисципліна для ОП

First

2021/2022

3 Semester

3

Students' knowledge of basic definitions, concepts, results and methods of classical theory of number and function series, proper and improper integrals with parameters, Fourier analysis. Students' ability to apply basic concepts and methods of mathematical analysis to solving problems in physics and astronomy. Students’ teamwork experience and improvement of the acquired communicative skills in professional activity. Students’ ability to independently and timely perform tasks, analyze solutions and be responsible for the results of their activities.

Full-time form

Elementary mathematics (algebra, geometry), material of the 1st and 2nd semesters.

Family of functions. Number and function series. Power series. Integrals with parameters. Trigonometric Fourier series. Fourier integral and transform. Fourier series in Euclidean space.

1. Lyashko І. І., Yemelyanov V. F., Boyarchuk O. K. Mathemetical analysis, part 1 . – К.: Vyshcha shkola, 1992. – 495 p. (In Ukrainian). 2. Lyashko І. І., Yemelyanov V. F., Boyarchuk O. K. Mathemetical analysis, part 2 . – К.: Vyshcha shkola, 1993. – 375 p. (In Ukrainian). 3. Dorohovtsev А. Ya. Mathematical analysis, part 1. – К.: Lybid, 1993. – 320 p. (In Ukrainian). 4. Dorohovtsev А. Ya. Mathematical analysis, part 1. – К.: Lybid, 1994. – 302 p. (In Ukrainian). 5. Demidovich B. P. Collection of tasks and exercises on mathematical analysis. – M.: Nauka, 1990. – 524 p. (In Russian). 6. Kryvosheya S. А., Mayko N. V., Motorna О. V., Proshchenko Т. М. Mathematical analysis. Assignments for students’ independent work. Part 2: Tutorial. – К: Publishing and printing center "Kyivskyi universytet", 2015. – 350 p. (In Ukrainian).

Lectures – 14 hrs, practical lessons – 28 hrs, independent work – 47 hrs, consultations – 1 hr, total – 90 hrs.

Knowledge and skills evaluation: 100-point scale. Current control (60 points): individual assignments, writing tests, colloquiums. Final control at the end of each semester (40 points): writing tests.

Ukrainian