Mathematical Analysis
Course: Astronomy
Structural unit: Faculty of Physics
Title
Mathematical Analysis
Code
Module type
Обов’язкова дисципліна для ОП
Educational cycle
First
Year of study when the component is delivered
2023/2024
Semester/trimester when the component is delivered
2 Semester
Number of ECTS credits allocated
5
Learning outcomes
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.
Form of study
Prerequisites and co-requisites
Elementary mathematics (algebra, geometry),
material of the 1st semester.
Course content
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.
Recommended or required reading and other learning resources/tools
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).
Planned learning activities and teaching methods
Lectures – 30 hrs, practical lessons – 45 hrs, independent work – 75 hrs, total – 150 hrs.
Assessment methods and criteria
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.
Language of instruction
Ukrainian
Lecturers
This discipline is taught by the following teachers
Departments
The following departments are involved in teaching the above discipline