| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| DG3295 | Differential geometry and topology | Үшінші курс | 5 | 150 | 1 | 2 |
The subject is a branch of geometry that studies the properties of curves, surfaces and other geometric manifolds with methods of mathematical analysis, in particular with differential calculations. The subject allows students to learn to study geometric figures with mathematical analysis methods, which have many applications. Students practice studying the geometry of flat shapes and spaces, also known as flat manifolds, using differential calculus, integral calculus, and linear algebra.
Team work, critical thinking, brainstorming,
The teacher of the subject can change the teaching methods, forms, type of supervision and amount of time of introduction of specialized adaptation subjects (modules) for students with disabilities in cooperation with structural departments.
| 1 | Uses the rules, laws and methods of mathematics to solve problems in various areas of mathematics (LO 5); |
| 2 | Apply the theoretical knowledge gained in fundamental mathematics to the description of processes and phenomena in various fields of mathematics (LO6); |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | A vector function that depends on one scalar argument. Regular curves | презентация |
| 2 | Tangent line and tangent plane. | Жазбаша |
| 3 | The curvature and torsion of the curve. Frene Reaper. | презентация |
| 4 | Fresne formulas. Theorem on the natural equation. | презентация |
| 5 | Vector function dependent on two scalar arguments | Жазбаша |
| 6 | Regular pages. | Жазбаша |
| 7 | Tangent plane and normality of the surface. Curves on the face. | презентация |
| 8 | The first and second quadratic forms of the face. | презентация |
| 9 | Head directions and head curvature of the face. | презентация |
| 10 | Internal geometry of the surface. | Жазбаша |
| 11 | Topological spaces | презентация |
| 12 | Introduction of topology through the base. | презентация |
| 13 | Continuous representation of topological spaces.Homeomorphism | презентация |
| 14 | Types of topological spaces. | Жазбаша |
| 15 | Topological polygons. | Жазбаша |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 | PÇ10 | PÇ11 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | Aleksandrov A.D., Çiçek Açmayan N.Y. Geometrisi. | |
| 2 | Topolojiye Giriş: Çalışmalar. üniversiteler için ödenek / Borisovich Yu.g. ve diğerleri | |
| 3 | Dubrovin B.A., Novikov S.P., Fomenko B.A.Modern Geometri. Cilt 1. | |
| 4 | Novikov S.P., Fomenko B.A. Diferansiyel geometri ve topolojinin unsurları. | |
| 5 | Rashevsky P.K. Diferansiyel Geometri kursu | |
| 6 | Schwartz J. Diferansiyel geometri ve topoloji. | |
| 7 | Yusupov diferansiyel geometri ve topoloji | |
| 8 | Fedenko ve diğ. Ayrımcı geometriye ilişkin görevlerin toplanması. | |
| 9 | Aleksandrov PS Set teorisine ve topolojiye giriş.M.,Bilim,1977 2.İskenderiye | |
| 10 | Kovantsov VG ve diğerleri Diferansiyel geometri , topoloji, tensör analizi. Görevlerin toplanması. K: 1989 okulunun dışına çıktı. |