| MATHEMATICS (TURKISH, PHD) | |||||
| PhD | TR-NQF-HE: Level 8 | QF-EHEA: Third Cycle | EQF-LLL: Level 8 | ||
| Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
| MAT4056 | Geometry | Fall | 3 | 0 | 3 | 6 |
| The course opens with the approval of the Department at the beginning of each semester |
| Language of instruction: | En |
| Type of course: | Departmental Elective |
| Course Level: | |
| Mode of Delivery: | Face to face |
| Course Coordinator : | Dr. Öğr. Üyesi TUĞCAN DEMİR |
| Course Objectives: | Teaching the application of the methods of calculus in geometry. Teaching the ability of determining the mathematical expression of any geometrical object and understanding the properties of the object and its enveloping space by means of calculus of curves and surfaces. |
|
The students who have succeeded in this course; To adapt himself/herself to Theoretical Physics scientific research topics. To gain fundamental knowledge in geometry. |
| Foundations of analytical geometry, affine spaces and coordinate systems, Euclidean space and the coordinate plane and space systems, lines and planes in 3-space, verifies, trigonometry and polar, cylindrical, and spherical coordinates, repetition, lines and planes in 3-dimensions, on the basis conics, spacecraft surfaces and cylinders, surface of revolutions , kuadratic surfaces. |
| Week | Subject | Related Preparation | |
| 1) | The reminding of Analytic Geometry knowledge. | ||
| 2) | Affine spaces and affine coordinate systems | ||
| 3) | Euclidean space and Euclidean coordinate systems in plane and space | ||
| 4) | lines in space, the review of trigonometry and polar, cylindrical, and spherical coordinates | ||
| 5) | lines in space, review of trigonometry and polar, cylindrical, and spherical coordinates. | ||
| 6) | Lines and surfaces in 3-dimensions | ||
| 7) | The concept of curve in the 2 or 3 Dimensional Eucledian Space and its parametrization. Tangent and Normal Vectors and Scalar Curvature. | ||
| 8) | Basics about conics | ||
| 9) | Basic surface concept in space | ||
| 10) | Cylinders | ||
| 11) | Surface of revolutions | ||
| 12) | Surface of revolutions | ||
| 13) | Quadratic surfaces | ||
| 14) | Quadratic surfaces | ||
| Course Notes: | Schaum’s Outline of Theory and Problems of Geometry (Martin Lipschultz) |
| References: | 1. iki ve Üç boyutlu Uzaylarda Dönüşümler ve geometriler,Prof.Dr.H.Hilmi Hacısalihoğlu,Ankara Üniversitesi,Fen fakültesi,Ocak 1998. 2. Kinematik dersleri, H.R.MÜLLER,Çevirenler: Esat EGESOY ve Maide ORUÇ, Ankara Üniversitesi,Fen Fakültesi,1963. |
| Semester Requirements | Number of Activities | Level of Contribution |
| Attendance | 0 | % 0 |
| Laboratory | 0 | % 0 |
| Application | 0 | % 0 |
| Field Work | 0 | % 0 |
| Special Course Internship (Work Placement) | 0 | % 0 |
| Quizzes | 2 | % 20 |
| Homework Assignments | 2 | % 20 |
| Presentation | 0 | % 0 |
| Project | 0 | % 0 |
| Seminar | 1 | % 30 |
| Midterms | 1 | % 30 |
| Preliminary Jury | 1 | % 50 |
| Final | 1 | % 50 |
| Paper Submission | 0 | % 0 |
| Jury | 0 | % 0 |
| Bütünleme | % 0 | |
| Total | % 200 | |
| PERCENTAGE OF SEMESTER WORK | % 150 | |
| PERCENTAGE OF FINAL WORK | % 50 | |
| Total | % 200 | |
| Activities | Number of Activities | Duration (Hours) | Workload |
| Course Hours | 14 | 3 | 42 |
| Laboratory | 0 | 0 | 0 |
| Application | 0 | 0 | 0 |
| Special Course Internship (Work Placement) | 0 | 0 | 0 |
| Field Work | 0 | 0 | 0 |
| Study Hours Out of Class | 14 | 3 | 42 |
| Presentations / Seminar | 0 | 0 | 0 |
| Project | 0 | 0 | 0 |
| Homework Assignments | 5 | 3 | 15 |
| Quizzes | 0 | 0 | 0 |
| Preliminary Jury | 0 | ||
| Midterms | 1 | 10 | 10 |
| Paper Submission | 0 | ||
| Jury | 0 | ||
| Final | 1 | 16 | 16 |
| Total Workload | 125 | ||
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution |