Faculty of BSU

1 |
Name of course |
Additional chapters of mathematical analysis |

2 |
Year |
3, Speciality Mathematics (scientific- industrial activity) |

3 |
Semester |
6 |

4 |
Credits |
1 |

5 |
Lecturer’s scientific and academic degree, First Name, Patronic Name, Surname |
Ph.D., Associate Professor Aliaksandr Yakaŭlevič Radyna |

6 |
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.
– to use main results of complex analysis in practice; – to use Laplace transform for solving practical problems. |

7 |
Background |
Algebra and numbers theory, Analytical Geometry, Mathematical Analysis, Complex Analysis. |

8 |
Contents |
Integrals on curves. The calculus of residues. Zeros of analytical functions. Analytical continuation. |

9 |
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. Сборник задач по теории функций комплексного переменного. М.: Наука, 1970. 4.М.А. Лаврентьев, Б.В. Шабат. Методы теории функций комплексного переменного. М.: Наука, 1973. 5.Э.И. Зверович. Вещественный и комплексный анализ. Т. 1–6. Минск: Вышэйшая школа, 2008. 6.Ю.В. Сидоров, М.Ф. Федорюк, М.И. Шабунин. Лекции по ТФКП. М.: Наука, 1989. |

10 |
Methods of teaching |
Comparative method, problematic method, dialog and heuristic method, method of forming knowledge of a personal significance. |

11 |
Language |
English |

12 |
Requirements, monitoring |
– oral test; –class test work. |

13 |
Form of assessment |
Test |