| Lesson Code | Course Name | Class | Credit | Lesson Time | Weekly Lesson Hours (Theoretical) | Weekly Lesson Hours (Practice) | Weekly Class Hours (Laboratory) |
|---|---|---|---|---|---|---|---|
| АG1266 | Analytic geometry | Бірінші курс | 5 | 150 | 1 | 2 |
The discipline allows students 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, 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 | Uses classical methods of mathematics in solving fundamental and applied problems. (LO7); |
| Haftalık Konu | Evaluation Method | |
|---|---|---|
| 1 | Coordinate axis. Basic equilibrium of analytic geometry. | Жазбаша |
| 2 | Vertical Cartesian and polar coordinate systems in the plane. Simple problems of analytic geometry in the plane. | Жазбаша |
| 3 | Vertical Cartesian, spherical and cylindrical coordinate systems in space. | презентация |
| 4 | Vector concept. Linear operations applied to vectors | Жазбаша |
| 5 | Scalar product of vectors. Expression of scalar product using coordinates. | презентация |
| 6 | Vector product of vectors. Expression of vector multiplication using coordinates. | Жазбаша |
| 7 | Mixed product of vectors. Expression of mixed product using coordinates. | Жазбаша |
| 8 | Ways of transfer of a straight line in a plane. | Жазбаша |
| 9 | The point of intersection of two lines. Angle between two lines. The condition of parallelism and perpendicularity of lines. | презентация |
| 10 | The normal equation of the line. Normalizing multiplier. Distance from a point to a line. | презентация |
| 11 | Canonical equation of ellipse. Study the shape of the ellipse. | Жазбаша |
| 12 | Canonical equation of hyperbola. Study the shape of the hyperbola. | Жазбаша |
| 13 | The canonical equation of the parabola. Study the shape of the parabola. | Жазбаша |
| 14 | The equation of a plane and a straight line in space. Their location. | презентация |
| 15 | Normal equation of the plane. Distance from point to plane. | презентация |
| PÇ1 | PÇ2 | PÇ3 | PÇ4 | PÇ5 | PÇ6 | PÇ7 | PÇ8 | PÇ9 | PÇ10 | PÇ11 |
|---|
| Textbook / Material / Recommended Resources | ||
|---|---|---|
| 1 | Zharlygasova E.Z., Berdenova G.Zh. Analitik geometri: Eğitimsel ve metodolojik el kitabı. - Kostanay: KSU im. A. Baitursynova, 2017. - 224c. http://rmebrk.kz/ | |
| 2 | Askanbayeva, G.B., Berkimbay, R.A. Analitik Geometri. Sorunların toplanması: Çalışma aracı. / Ö. Sultangazin'in adını taşıyan Kostanay Devlet Pedagoji Üniversitesi. - Kostanay: KMPU, 2019. - 148 s. RMEB | |
| 3 | B. T. Sarsenov, J. S. Yerkisheva. Doğrusal cebir ve analitik geometri - Türkistan, 2016. | |
| 4 | M.A. Sultanov, G.B. Bakanov, A.S. Berdyshev. Cebir ve geometri problemlerini çözme. / Eğitim aracı. Çimkent 2020 | |
| 5 | Berdenova G.J., Mutalip S. Analitik geometri: Eğitimsel ve metodolojik araç. - Kostanay: KSU, A. Baitursynov'un adını almıştır, 2017. - 224p. http://www.rmeb rk.kz/ | |
| 6 | Kolekeev K.D., Nurullaev A. N., Marasulov A., Kuatbekov B.N., Muzdybekova S. T. Yüksek Matematik: Grafik Cebirin Unsurları. Determinantlar ve matrisler. Eğitimsel ve metodolojik araç. K. A. Yesevi Uluslararası Kazak-Türk Üniversitesi, 2014. | |
| 7 | E.M. Karchevsky, M.M. Karchevsky. Doğrusal cebir ve analitik geometri üzerine dersler. Ders Kitabı.– St. Petersburg: Lan, 2018. | |
| 8 | G.J. Berdenova, E.Z. Zharlygasova. Analitik geometri ve doğrusal cebir: Çalışma programı. Kostanay: KSU im. A. Baitursynova, 2017. - 146c. | |
| 9 | Analitik geometri ve doğrusal cebir: eğitimsel ve metodolojik kompleks. - Petropavlovsk: SKGU im. M. Kozybaeva, 2012. - 100c |