| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Analytical Geometry II | MAT132 | 2. 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 analytic approach to the geometric concepts. |
| Course Content | Vectors in space and orthogonal coordinate system; Cylindrical and spherical coordinate systems in space; Line and plane equations in space; Cylinder, Sphere and Cone surfaces; Rotational, linear and quadratic surfaces. |
| Learning Outcomes |
- 1) This course will enable one to:Have information about vectors, rectangular coordinate system, cylindrical coodinate system and spherical coordinates in space. - 2) Know situations of between straight line and plane and equations of straight line and plane in space - 3) Know reflection according to straight line and plane in space - 4) Know cylinder, conic, surface of revolution and linear, quadrics and their properties |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Translations and rotations in the plane | |
| 2. Week | Translations and rotations in the plane | |
| 3. Week | Vectors in space, perpendicular and parallel vectors | |
| 4. Week | Vector product and hash product of vectors | |
| 5. Week | Line equations in space, the relative positions of two lines in space, the distance of a point to a line | |
| 6. Week | Plane equations in space | |
| 7. Week | Linear plane relations in space, the relative positions of two planes | |
| 8. Week | Midterm exam | |
| 9. Week | Cylinder and sphere surface | |
| 10. Week | Surface of conic | |
| 11. Week | Rotating and linear surfaces. | |
| 12. Week | Quadric surfaces in space | |
| 13. Week | Quadric surfaces in space | |
| 14. Week | Cylindrical coordinate system in space, spherical coordinates in space |
| 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 | 0 | 0 | 0 | 0 | - |
| PY5 | 1 | 0 | 0 | 0 | 0 | - |
| PY6 | 1 | 0 | 0 | 0 | 0 | - |
| PY7 | 5 | 0 | 0 | 0 | 0 | - |
| PY8 | 5 | 0 | 0 | 0 | 0 | - |
| PY9 | 2 | 0 | 0 | 0 | 0 | 60 |
| PY10 | 5 | 0 | 0 | 0 | 0 | - |
| PY11 | 1 | 0 | 0 | 0 | 0 | - |
| PY12 | 3 | 0 | 0 | 0 | 0 | - |
| PY13 | 4 | 0 | 0 | 0 | 0 | - |
| PY14 | 2 | 0 | 0 | 0 | 0 | - |
| PY15 | 0 | 0 | 0 | 0 | 0 | - |
| 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 | ||
