Infopaket

Mathematical Analysis

Обов’язкова дисципліна для ОП

First

2021/2022

2 Semester

5

Students' knowledge of basic definitions, concepts, results and methods of differential and integral calculus of functions of multiple variables. 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.

Elementary mathematics (algebra, geometry), material of the 1st semester.

Distance and metric space. Norm and normed vector space. Scalar (inner) product and Euclidean space. Differential and integral calculus of functions of multiple variables. Curve and surface integrals. Elements of mathematical field theory.

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 1: Tutorial. – К: Publishing and printing center "Kyivskyi universytet", 2013. – 324 p. (In Ukrainian).

Lectures – 30 hrs, practical lessons – 45 hrs, independent work – 75 hrs, total – 150 hrs.

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

Ukrainian