Infopaket

Theory of Functions of Complex Variable

ОК 26.

Обов’язкова дисципліна для ОП

First

2023/2024

3 Semester

3

Know the concepts of complex numbers and operations with them: product, division, addition and subtraction Know the basic theorems of differential calculus of functions of a complex argument Know the basic theorems of integral calculus of functions of a complex argument, in particular theorems on integration of analytic functions Know the main results of the theory of analytic functions, Taylor and Laurent series Know the classification of special points of functions and the basic properties of excess functions Be able to perform algebraic operations with complex numbers Be able to differentiate the functions of a complex argument Be able to integrate the functions of a complex argument on the contour Be able to decompose the functions of a complex argument into Taylor and Laurent series Be able to apply the theory of surpluses in the calculation of denoted integrals, summation of series, solution of linear differential equations

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