| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| Top 3380 | Topology | төртінші курс | 5 | 150 | 1 | 2 |
The subject studies the properties of shapes that are preserved during continuous deformations—stretching, compression, or bending. Students learn the basic concepts and methods of general topology and use them in problems related to the development of applied fields of mathematics. At the same time, students use their mathematical knowledge to study the properties of figures that do not change in continuous transformations of topology.
Group work, method of problem work, method of mini-research, method of improving professional skills.
| 1 | -Uses the theoretical knowledge acquired in basic mathematics in describing processes and phenomena in various fields of mathematics (ОН6); |
| 2 | Uses classical methods of mathematics in solving fundamental and applied problems. (LO 7); |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | Definition of topological spaces. Topology mapping problems. | презентация |
| 2 | A basis in topological spaces and sets. | презентация |
| 3 | Define open and closed sets. Finding interior points of a set. | презентация |
| 4 | Show ways to create a topology. | презентация |
| 5 | Problem to find boundaries of sets. Examples of dense and nowhere dense sets. | презентация |
| 6 | Calculation of Borel sets. | презентация |
| 7 | Definition of images. Examples of homeomorphism. | Жазбаша |
| 8 | Summarizing problems in topological spaces | презентация |
| 9 | Finding sums and Cartesian products. | Жазбаша |
| 10 | Examples of factor spaces and factor representations. | презентация |
| 11 | Finding the limits of the inverse spectra. | презентация |
| 12 | Examples of compact spaces | презентация |
| 13 | Actions used in a compact space. | презентация |
| 14 | Examples of metric spaces and operations on these spaces. | Жазбаша |
| 15 | Give examples of paracompact spaces | Жазбаша |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 | PÇ10 | PÇ11 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | 1. Viro O. Ya., Ivanov O. A., Netsvetayev N. Yu., Kharlamov V. M. Temel topoloji. — M.: MTNMO, 2010. — 352 s. ISBN 978-5-94057-587-0 | |
| 2 | 2. Kolmogorov A.N., Fomin S.V. Fonksiyon teorisinin unsurları ve fonksiyonel analiz. Seri: Klasik üniversite ders kitabı. - M.: FIZMATLIT, 2019. .-572 s. | |
| 3 | 3. Verbitsky M. S. Broşürlerde ilk ders topolojisi: problemler ve teoremler. –– M.: MCNMO, 2017. –– 352 s. ISBN 978-5-4439-1036-9. | |
| 4 | 4. Bludova V., Belyanova E. N. Örneklerde ve görevlerde temel topoloji. — Moskova: Izdatelstvo MGTU im. N.E. Baumana, 2016. — 126, [4] s. : il. ISBN 978-5-7038-4230-0 |