Faculty of BSU

1 |
Name of course |
Mathematical analysis |

2 |
Year |
1, speciality Mathematics (scientific-industrial activity) |

3 |
Semester |
1 |

4 |
Credits |
7 |

5 |
Lecturer’s scientific and academic degree, First Name, Patronic Name, Surname |
Doctor of Physics and Mathematics (habilitated), Professor Aliaksandr Antonavič Piakarski |

6 |
Goals of course |
Formation of a basic knowledge for understanding of principal concepts and methods of modern mathematics. Forming a basis of mathematical way of thinking, acquaintance of students with mathematical methods of constructing theorem proofs, studying algorithm of solving on particular mathematical problems.
– to use main results of mathematical analysis in practice; – to use theoretical and practical skills of differential and integral calculus in mathematics. |

7 |
Background |
Elementary mathematics, Algebra and numbers theory, Analytical Geometry |

8 |
Contents |
Elements of mathematical logic and set theory. Set of real numbers. Theory of sequences and their limits. A limit of a function. Continuous functions. Differentiable functions. Indefinite integral (antiderivative). |

9 |
Bibliography |
1. Г.И. Архипов, В.А. Садовничий, В.Н. Чубариков. Лекции по математическому анализу. М.: Высшая школа, 2000. 2. В.А. Зорич. Математический анализ (2 тома). М.: Наука, 1981 и другие издания. 3. Л.Д. Кудрявцев. Курс математического анализа. М.: Высшая школа, Т. 1, 2. 1981 и другие издания. 4. С.М. Никольский. Курс математического анализа. Т. 1, 2. М.: Наука. 1990. 5. Б.П. Демидович. Сборник задач и упражнений по математическому анализу. М.: Наука, 1990. 6. Э.И. Зверович. Вещественный и комплексный анализ. Т. 1–6. Минск: Вышэйшая школа, 2008. 7. Сборник задач по математическому анализу /Под ред. Л.Д. Кудрявцева, М.: Наука, Т. 1. – 1984, Т. 2. – 1986, Т. 3 – 1994 и другие издания. |

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 |
–estimation of individual student works; – oral test; –class test work; Exam grade consists of 30 % – practical work in class, 10 % – oral test, 10 % –class test work; 50 % –answer on exam. |

13 |
Form of assessment |
Test, Exam |