Theory of functions of a complex variable

Course: Optotechnique

Structural unit: Faculty of Physics

Title
Theory of functions of a complex variable
Code
ОК 16.
Module type
Обов’язкова дисципліна для ОП
Educational cycle
First
Year of study when the component is delivered
2022/2023
Semester/trimester when the component is delivered
3 Semester
Number of ECTS credits allocated
3
Learning outcomes
- Understand the application of methods and techniques of analysis, design and research, as well as the limitations of their use - Be able to apply basic mathematical knowledge used in physics, optics and laser physics: analytical geometry, linear algebra, mathematical analysis, differential and integral equations, theory probabilities and mathematical statistics, methods of mathematical physics, theory of functions of a complex variable, mathematical modeling.
Form of study
Full-time form
Prerequisites and co-requisites
1. Know the basics of algebra and analysis, differential and integral calculus of functions of a real argument. 2. To be able to solve problems in mathematical analysis, to have differential and integral calculus of functions of a real argument. 3. Have the skills to study literature, work with interactive and multimedia tools, interact with colleagues during training.
Course content
Мodule 1. Complex numbers, functions and operations with them 1. Complex numbers and operations with them 2. Functions of a complex variable Мodule 2. Application of TFKZ methods in problems of matanalysis and differential equations 3. The theory of surpluses and its application 4. Operational calculus and asymptotic analysis
Recommended or required reading and other learning resources/tools
Planned learning activities and teaching methods
• lectures • practical training • consultations • individual work
Assessment methods and criteria
• control works • modular control • homework check • examination work
Language of instruction
Ukrainian

Lecturers

This discipline is taught by the following teachers

Oleh Barabash
DEPARTMENT OF QUANTUM FIELD THEORY
Faculty of Physics
Olena Teslyk
DEPARTMENT OF QUANTUM FIELD THEORY
Faculty of Physics

Departments

The following departments are involved in teaching the above discipline

DEPARTMENT OF QUANTUM FIELD THEORY
Faculty of Physics
DEPARTMENT OF QUANTUM FIELD THEORY
Faculty of Physics