Rapor Tarihi: 24.02.2026 22:05
| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Analytical Geometry I | MAT131 | Turkish | Compulsory | 1. Semester | 3 + 0 | 3.0 | 5.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Lecturing |
| Course Coordinator | Doç. Dr. GÜLHAN AYAR |
| Instructor(s) | Doç. Dr. GÜLHAN AYAR (Güz) |
| Goals | To gain the ability of analytical approach to the geometric concepts |
| Course Content | Fundamental Principles of Analytic Geometry, Cartesian and Polar Coordinates, Equation of a Line in Space, Equation of a Plane in Space, Projection-Symmetry Reflection |
| # | Öğrenme Kazanımı |
| 1 | 1. Operations with Vectors, Cartesian Coordinate System, Linear Combination, Linear Dependence-Independence, Basis |
| 2 | 2. The equation of a line in space, The relative positions of two lines, The distance from a point to a line, The distance between skew lines |
| 3 | 3. Plane equations in space, the relative positions of two planes, the distance from a point to a plane, the distance between parallel planes, plane bundles |
| 4 | 4. Projection-Symmetry-Reflection |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Vectors in plane, operations on vectors | |
| 2. Week | Parallel and orthogonal vectors, scalar product, linear independence, basis | |
| 3. Week | The multiplication of vectors, applications of the Euclidean inner product, vector product, cross product, and geometric interpretations | |
| 4. Week | Line equation in space | |
| 5. Week | line equation with two known points, line equations perpendicular to two vectors | |
| 6. Week | The positions of two lines relative to each other, the distance of a point from a line | |
| 7. Week | General question solving | |
| 8. Week | Plane equations in space | |
| 9. Week | Plane equations in space | |
| 10. Week | The position of a line relative to a plane, The position of two planes relative to each other | |
| 11. Week | The distance from a point to a plane, the distance between a parallel line and a plane, the distance between two parallel planes | |
| 12. Week | Plane Bundle | |
| 13. Week | Projection-Symmetry-Reflection | |
| 14. Week | General question solving |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Acquiring knowledge on theories and practice of education in general, subject teaching in particular, and the basic concepts and theories of the related disciplines, | ✔ | |||||
| 2 | Knowing how to obtain information geared towards lifelong learning, | ✔ | |||||
| 3 | Doing effective educational planning, organizing and evaluating based on theoretical and practical content matter and in relation to the needs of the learners, | ✔ | |||||
| 4 | Utilizing educational technologies in a variety of educational settings, | ✔ | |||||
| 5 | Analyzing studies in the field with a scientific perspective, assessing the findings and offering solutions, | ✔ | |||||
| 6 | Acquiring academic literacy and minimum B1 level competence at a foreign language in order to pursue the global developments in the area of study, | ✔ | |||||
| 7 | Pursuing the scientific discussions in the field and interpreting them through scientific examination, | ✔ | |||||
| 8 | Forming scientific study platforms in order to solve the problems in practice, | ✔ | |||||
| 9 | Preparing and conducting solution-based projects in response to social problems in an effort to contribute to the School-Society collaboration | ✔ | |||||
| 10 | Following the developments in the field through professional activities such as literature reviews, seminars, conferences and workshops, and sharing them with other expert and non-expert individuals, | ✔ | |||||
| 11 | Being an innovative and self-confident intellectual with a sense of society, environment, social justice and respect for ethical values. | ✔ | |||||
| 12 | To be able to analyse the notions and ideas in the field by using scientific methods, to identify problems, and to develop solutions based on proofs and researches | ✔ | |||||
| 13 | To be able to gain ability of doing academic research | ✔ | |||||
| 14 | To be able to work interactively | ✔ | |||||
| 15 | To be able gain necessary computer software for further studies | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 |
|---|---|---|---|---|
| PY1 | 4 | 4 | 4 | 4 |
| PY2 | 5 | 5 | 5 | 5 |
| PY3 | 4 | 4 | 4 | 4 |
| PY4 | 4 | 4 | 4 | 4 |
| PY5 | 1 | 1 | 1 | 1 |
| PY6 | 1 | 1 | 1 | 1 |
| PY7 | 5 | 5 | 5 | 5 |
| PY8 | 5 | 5 | 5 | 5 |
| PY9 | 4 | 4 | 4 | 4 |
| PY10 | 5 | 5 | 5 | 5 |
| PY11 | 4 | 4 | 4 | 4 |
| PY12 | 5 | 5 | 5 | 5 |
| PY13 | 5 | 5 | 5 | 5 |
| PY14 | 3 | 3 | 3 | 3 |
| PY15 | 1 | 1 | 1 | 1 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| Güz Dönemi | |||
| Responsible Personnel | Grup | Evaluation Method | Percentage |
|---|---|---|---|
| Doç. Dr. GÜLHAN AYAR | Vize | 40.00 | |
| Doç. Dr. GÜLHAN AYAR | Final | 60.00 | |
| Toplam | 100.00 | ||
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 14 | 3 | 42 |
|
Sınavlar |
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 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 5.0 | ||
