| 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 | Екінші курс | 5 | 150 | 1 | 2 |
The discipline allows to master the methods of vector algebra and coordinate systems when studying geometry objects. In the course of studying the course, students learn to write down the products of vectors, their properties, the equations of a straight line in a plane and in space, as well as the equation of a plane. It is practiced to solve some problems of the scientific and applied direction of mathematics using elements of analytical geometry. Solves fundamental mathematical problems of an applied nature, using modern information programs using methods of analytical geometry.
Team work, problem work method, mini-research method, project work method, professional skills improvement method.
| 1 | Solves fundamental and applied mathematical problems using basic methods and laws of mathematics (LO 9); |
| 2 | Builds mathematical models of processes and phenomena in solving applied practical problems (LO 10). |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | History of the formation of geometry. | Жазбаша |
| 2 | Euclid and his'beginnings'. V postulate. | Жазбаша |
| 3 | Gilberta axiom system. Axioms of communication and ordinal. Consequences of axioms of communication and ordinal. | Жазбаша |
| 4 | Axioms of congruence. Consequences of the system of Axiom I-III. | Жазбаша |
| 5 | Axioms of continuity. Axiom of parallelism. Absolute geometry. | Жазбаша |
| 6 | Lobachevsky and his geometry. Lobachevsky axioms. | Жазбаша |
| 7 | Inconsistency of the system of axioms on the Lobachevsky plane. | Жазбаша |
| 8 | Inconsistency and completeness of the Weil 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 theorems of planimetry. | Жазбаша |
| 12 | Methods for proving theorems of streometry. | Жазбаша |
| 13 | Definition of topological space, examples. | Жазбаша |
| 14 | Individuality, connectedness, compactness. | Жазбаша |
| 15 | The concept of a line. Horizontal curves. | 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. Atanasána L.S., Geometrıa. Izdatelstvo 'Knorýs':2016. |