Information Package / Course Catalogue
| Course Code | : MTK578 |
| Course Type | : Area Elective |
| Couse Group | : Second Cycle (Master's Degree) |
| Education Language | : Turkish |
| Work Placement | : N/A |
| Theory | : 3 |
| Prt. | : 0 |
| Credit | : 3 |
| Lab | : 0 |
| ECTS | : 6 |
The main purpose of this course is to acquaint students with knowledge of differentiable manifold and to use this knowledge.
Differential forms, wedge product, exterior derivative, Lie derivative, orientation on a manifold, manifold with boundary, Integration on the manifolds, Stokes'sTheorems, Green's theorem.
| 1. | To be able to define differential forms |
| 2. | To be able to learn wedge product and exterior derivative |
| 3. | To be able to define Lie derivative of vector fields on a manifold |
| 4. | To be able to explain orientation on a manifold |
| 5. | To be able to acquire Integration on the manifolds |
| 1. | Tu, Loring W. An Introduction to Manifolds. |
| 2. | Brickell,F., Clark,R. Differentiable manifolds, Windson House, Condon S.W.1 |
| 3. | Boothby,William M. An İntroduction to Differentiable Manifolds and Riemannian Geometry. Academic Press,New York,1975 |
| Type of Assessment | Count | Percent |
|---|---|---|
| Assignment | 1 | %5 |
| Quiz | 1 | %10 |
| Midterm Examination | 1 | %15 |
| Final Examination | 1 | %70 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 1 | 3 | 56 |
| Assignment | 1 | 0 | 6 | 6 |
| Individual Work | 14 | 0 | 2 | 28 |
| Quiz | 1 | 10 | 1 | 11 |
| Midterm Examination | 1 | 20 | 2 | 22 |
| Final Examination | 1 | 25 | 2 | 27 |
| TOTAL WORKLOAD (hours) | 150 | |||
PÇ-1 | PÇ-2 | PÇ-3 | PÇ-4 | PÇ-5 | PÇ-6 | PÇ-7 | PÇ-8 | PÇ-9 | PÇ-10 | PÇ-11 | PÇ-12 | PÇ-13 | PÇ-14 | PÇ-15 | |
OÇ-1 | 3 | 2 | 4 | 3 | 1 | 2 | 3 | ||||||||
OÇ-2 | 3 | 1 | 3 | 1 | 1 | 3 | 2 | ||||||||
OÇ-3 | 3 | 1 | 3 | 1 | 1 | 3 | 2 | ||||||||
OÇ-4 | 2 | 1 | 2 | 1 | 1 | 3 | 3 | ||||||||
OÇ-5 | 2 | 2 | 2 | 1 | 1 | 3 | 3 | ||||||||