| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| Geo 2287 | Fundamentals of Geometry | Үшінші курс | 6 | 180 | 1 | 3 |
The discipline gives an idea of the history of the development and the current state of
geometry. Students master the construction of axioms of geometry, solving problems
using axiom systems. Systematizes and expands knowledge about geometric problems.
They prove the basic theorems of planimetry and stereometry, learn to solve problems
set on a plane and in space.
Team work, problem work method, mini-research method, project work method, professional skills improvement method.
| 1 | Develops educational and methodological materials on the subject, taking into account the characteristics and needs of students (LО7); |
| 2 | Monitors the educational achievements of students, developing a system of criteria assessment (РО8); |
| 3 | Solves fundamental and applied mathematical problems using basic methods and laws of mathematics (LO 9). |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | The history of the formation of geometry. | Жазбаша |
| 2 | Euclid and his 'initiatives'. V postulate. | Жазбаша |
| 3 | Gilbert's axiom system. Axioms of connection and order. Consequences of the axioms of connection and order. | Жазбаша |
| 4 | Axioms of congruence. A consequence of the system of axioms I-III. | Жазбаша |
| 5 | Axioms of continuity. The axiom of parallelism. Absolute geometry. | Жазбаша |
| 6 | Lobachevsky and his geometry. Lobachevsky's axioms. | Жазбаша |
| 7 | Non-conflict of the axiom system in the Lobachevsky plane. | Жазбаша |
| 8 | Inconsistency and completeness of the Weyl axiom system for three-dimensional Euclidean space. | Жазбаша |
| 9 | Definitions of a straight line, plane, beam, segment, angle. | Жазбаша |
| 10 | Planimetry and streometry. | Жазбаша |
| 11 | Proof of some planimetry theorems. | Жазбаша |
| 12 | Methods of proving the theorems of streometry. | Жазбаша |
| 13 | Definition of a topological space, examples. | Жазбаша |
| 14 | Individuality, sociability, compactness. | Жазбаша |
| 15 | The concept of a line. Curves lying down. | Жазбаша |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 | PÇ10 | PÇ11 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | A.T.Mýsın Geometrıa negizderi, Almaty, 2022. | |
| 2 | A.T.Mýsın Analıtıkalyq geometrıa jáne syzyqtyq algebra kýrsy, Almaty, 2022. | |
| 3 | A.Bayarystanov, M. Dauren, I. Zhumabay Linear algebra and analytic geometry, Almaty, 2021. | |
| 4 | D.G.Zill, W.S.Wright Matematik Cilt I, Ankara 2013. | |
| 5 | Bazylev V. T. Atanasán L. S., Geometrıa. 'Knorýs' Baspasy: 2016. | |
| 6 | Geometrıa boıynsha esepter jınaǵy / astynda. v.t. Bazylev. 'Lan' Baspasy: 2008. | |
| 7 | Geometrıa boıynsha esepter jınaǵy / astynda. red.L. S. Atanasán. Baspager: 'Eksmo':2017. |