1

Name of course

Теория функций комплексного переменного

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Year

3 Speciality

Mathematics (scientific-pedagogical activity)

3

Semester

5

4

Credits

1

5

Lecturer’s scientific and academic degree, First Name, Patronic Name, Surname

Ph.D., Associate Professor,

Voĺha Barysaŭna Daŭhapolava

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Goals of course

Bring students up to high standard of professional competence and to form a concept about technical possibilities of this part of modern analysis. Description of basics of complex analysis and its possibilities in modern scientific models. Skills forming of applying complex analysis for constructing and research of mathematical models.

At the end of the course a student will be able:

– to use main results of complex analysis in practice;

– to use theoretical and practical skills of the complex variable function theory in mathematics.

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Background

Algebra and numbers theory, Analytical Geometry, Mathematical Analysis.

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Contents

Laurent series and isolated singularities. The calculus of residues and its application.

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Bibliography

1.Б.В. Шабат. Введение в комплексный анализ. Ч. I. М.: Наука, 1976.

2.И.А. Александров, В.В. Соболев. Аналитические функции комплексного переменного. М.: Высшая школа, 1984.

3.Л.И. Волковысский, Г.Л. Лунц, И.Г. Араманович.

4.М.А. Лаврентьев, Б.В. Шабат. Методы теории функций комплексного переменного. М.: Наука, 1973.

5.Сборник задач по теории функций комплексного переменного. М.: Наука, 1970.

6.Сборник задач по теории аналитических функций / Под ред. М.А. Евграфова, М., 1972.

7.Э.И. Зверович. Вещественный и комплексный анализ. Т. 1-6. Минск: Вышэйшая школа, 2008.

8.Ю.В. Сидоров, М.Ф. Федорюк, М.И. Шабунин. Лекции по ТФКП. М.: Наука, 1989.

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Methods of teaching

Comparative method, problematic method, dialog and heuristic method, method of forming knowledge of a personal significance.

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Language

English

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Requirements, monitoring

–estimation of individual student works;

– oral test;

–class test work.

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Form of assessment

Test