Mathematical Analysis

Course: Physics

Structural unit: Faculty of Physics

Title
Mathematical Analysis
Code
ОК 5.
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
1 Semester
Number of ECTS credits allocated
7
Learning outcomes
Students' knowledge of basic definitions, concepts, results and methods of differential and integral calculus of functions of one variable. 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
Full-time form
Prerequisites and co-requisites
Elementary mathematics (algebra, geometry)
Course content
Real numbers. Number sequences. Limit and continuity of functions of one variable. Differential and integral calculus of functions of one variable. Improper integrals.
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. Dorohovtsev А. Ya. Mathematical analysis, part 1. – К.: Lybid, 1993. – 320 p. (In Ukrainian). 3. Demidovich B. P. Collection of tasks and exercises on mathematical analysis. – M.: Nauka, 1990. – 524 p. (In Russian). 4. 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). 5. 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).
Planned learning activities and teaching methods
Lectures – 42 hrs, practical lessons – 60 hrs, independent work – 107 hrs, consultations – 1 hr, total – 210 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