| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Analytical geometry | MAE205 | 3. Semester | 3 + 0 | 3.0 | 3.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Face to face |
| Course Coordinator |
Prof. Dr. ŞAHİN DANİŞMAN |
| Instructor(s) |
ŞAHİN DANİŞMAN |
| Assistants | |
| Goals | Understanding the cartesian coordinates, vectors and lines in plane and space and understanding interrelationship of lines and planes in three-dimensional space. |
| Course Content | Cartesian coordinates in plane and in space; Vectors in plane and space; Lines in plane; Lines and planes in three dimensional space; Reflections according to line and plane; Point-line; Line-plane and interrelationships of planes; Translation and rotation in plane. |
| Learning Outcomes |
- Students can explain cartesian coordinates in plane and space. - Students can define vector and line in plane and space - Students can define plane in three-dimensional space. - Students can explain the interrelationship of lines and planes in three dimensional space. - Students can explain the interrelationship of lines and planes in three dimensional space. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Cartesian coordinates in plane | Verbal Expression Visual Presentation Course Hours |
| 2. Week | Lines and symmetries in plane | Visual Presentation Verbal Expression Course Hours |
| 3. Week | Vectors in plane | Course Hours Visual Presentation Verbal Expression |
| 4. Week | Line equations in space | Visual Presentation Course Hours Verbal Expression |
| 5. Week | Planes in the space | Course Hours Visual Presentation Verbal Expression |
| 6. Week | Line-plane and the relations of planes to each other | Visual Presentation Verbal Expression Course Hours |
| 7. Week | Reflections relative to line and plane | Verbal Expression Visual Presentation Course Hours |
| 8. Week | MIDTERM | |
| 9. Week | Analytics of the circle and ellipse | Verbal Expression Visual Presentation Course Hours |
| 10. Week | Conics (hyperbola, parabola) | Visual Presentation Verbal Expression Course Hours |
| 11. Week | Translation and rotation in the plane | Course Hours Verbal Expression Visual Presentation |
| 12. Week | Polar, cylindrical and spherical coordinates | Course Hours Visual Presentation Verbal Expression |
| 13. Week | Special surfaces in space: cylinders, surfaces of revolution, quadratic surfaces | Verbal Expression Visual Presentation Course Hours |
| 14. Week | Special surfaces in space: cylinders, surfaces of revolution, quadratic surfaces | Course Hours Visual Presentation Verbal Expression |
| Balcı, M. Analitik Geometri, Palme Yayıncılık. |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | Measurement Method |
|---|---|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 | 5 | - |
| 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 | 2 | 28 |
| Preparation, After Class Study | 12 | 2 | 24 |
| Midterm 1 | 1 | 0.5 | 0.5 |
| Final | 1 | 2 | 2 |
| Classroom Activities | 11 | 2 | 22 |
| Total Workload | 76.5 | ||
| ECTS Credit of the Course | 3.0 | ||
