1 
Course Title

Differential Geometry and Topology 
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Year of study, speciality 
2, Speciality – “Mathematics”, focus area: “scientific and pedagogical activity” 
3 
Semester of study 
3 
4 
Credit points 
3 
5 
Name of the lecturer, scientific degree, occupation 
Hleb O. Kukrak, PhD in Mathematics 
6 
Goals of studying 
Studying series of properties of metric and topological spaces and their connections with objects which studying in others courses (Analytical Geometry, Mathematical Analysis, Functional Analysis). 
7 
Prerequisites 
Introduction to Mathematics, Analytical Geometry, Mathematical Analysis. 
8 
Contents 
Metric and topological spaces and their geometry. Continuous maps and homeomorfisms. Connected spaces. Compact spaces. Complete metric spaces and compact metric spaces. Bases and dense sets in the topological spaces. Separabale spaces. The construction of the product of topological spaces. Factorspaces of topological spaces. 
9 
Recommended literature 

10 
Teaching methodology 
Comparative, problem, interactiveheuristic and visual. 
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Language of instruction 
Russian 
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Requirements for study during the semester 
– tests

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Examination methodology 
Examination 