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Theory of functions of a complex variable

ОК 16.

Обов’язкова дисципліна для ОП

First

2021/2022

3 Semester

3

- 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.

Full-time form

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.

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

• lectures • practical training • consultations • individual work

• control works • modular control • homework check • examination work

Ukrainian