| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Analytical Geometry I | MAT131 | 1. Semester | 3 + 0 | 3.0 | 5.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Assist. Prof. Dr. Pınar ZENGİN ALP |
| Instructors |
Pınar ZENGİN ALP |
| Assistants | |
| Goals | To gain the ability of analytical approach to the geometric concepts |
| Course Content | The Basic Concepts of Analitical Geometry, Cartesian and Polar Coordinates, Line, Circle, Ellipse and Hyperbola on the Plane. |
| Learning Outcomes |
- 1.This course will enable one to:Know concepts of affine space, affine frame, affine coordinate system, euclidean space, euclidean frame, euclidean coordinate system, Rectangular coordinate system in plane, oblique coordinate system in plane - 2.Know translations, rotations, reflections in plane - 3.Know equations of straight line in plane, situation of point to straight line, distance of point to straight line, situations of between two straight lines and make related practices - 4.Know concepts of circle, elipse, parabola, hyperbola and solve related basic problems |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Vectors in plane, operations on vectors | |
| 2. Week | Parallel and orthogonal vectors, scalar product, linear independence, basis | |
| 3. Week | Lines in the plane, line equations | |
| 4. Week | The distance of a point to a line, the states of two lines with respect to each other | |
| 5. Week | Curves in the plane, polar coordinates in the plane | |
| 6. Week | Polar coordinates in the plane, parametric equations of curves | |
| 7. Week | General question solving | |
| 8. Week | Midterm exam | |
| 9. Week | Analytical examination of cones | |
| 10. Week | Analytical examination of the circle | |
| 11. Week | Analytical examination of the ellipse | |
| 12. Week | Analytical examination of hyperbola | |
| 13. Week | Analytical examination of the parabola | |
| 14. Week | Analytica examination of parabola |
| 1.Hacısalioğlu, H.H., İki ve Üç Boyutlu Uzaylarda Analitik Geometri, 2. Baskı, 1985. |
| 2.Kaya, R., Analitik Geometri, 3. Baskı, 1992 |
| 3.Kaya, A., Düzlem ve Uzay analitik Geometri Kuram ve Sorular (çeviri), 1987. |
| 4.Edward C.H., Penney, D.E., Matematik Analiz ve Analitik Geometri (translated in 2001). |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | Measurement Method |
|---|---|---|---|---|---|---|
| PY1 | 4 | 0 | 0 | 0 | 0 | - |
| PY2 | 5 | 0 | 0 | 0 | 0 | - |
| PY3 | 4 | 0 | 0 | 0 | 0 | - |
| PY4 | 4 | 4 | 4 | 4 | 4 | 60 |
| PY5 | 1 | 1 | 1 | 1 | 1 | - |
| PY6 | 1 | 0 | 0 | 0 | 0 | - |
| PY7 | 5 | 0 | 0 | 0 | 0 | - |
| PY8 | 5 | 0 | 0 | 0 | 0 | - |
| PY9 | 4 | 4 | 4 | 4 | 4 | 60 |
| PY10 | 5 | 5 | 5 | 5 | 5 | 60 |
| PY11 | 4 | 4 | 4 | 4 | 4 | 60 |
| PY12 | 5 | 5 | 5 | 5 | 5 | 60 |
| PY13 | 5 | 5 | 5 | 5 | 5 | 60 |
| PY14 | 3 | 3 | 3 | 3 | 3 | 60 |
| PY15 | 1 | 1 | 1 | 1 | 1 | 60 |
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| Course's Level of contribution | None | Very Low | Low | Fair | High | Very High |
| Method of assessment/evaluation | Written exam | Oral Exams | Assignment/Project | Laboratory work | Presentation/Seminar |
| Event | Quantity | Duration (Hour) | Total Workload (Hour) |
|---|---|---|---|
| Course Hours | 14 | 3 | 42 |
| Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 5 | 1.5 | 7.5 |
| Final | 1 | 2 | 2 |
| Practice End-Of-Term | 15 | 4 | 60 |
| Classroom Activities | 14 | 1 | 14 |
| Total Workload | 127.5 | ||
| ECTS Credit of the Course | 5.0 | ||
