Variational Methods
Mathematics
Institute of Natural and Applied Sciences
Third Cycle (Doctorate Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Variational Methods | MAT623 | Elective | Doctorate degree | 1 | Spring | 8 |
Name of Lecturer(s)
Prof. Dr. Zahir MURADOĞLU
Associate Prof. Dr. Arzu COŞKUN
Learning Outcomes of the Course Unit
1) Comparing well with other methods of variational methods
2) Appling linear programming methods
3) Using eigenvalue approximations
4) Explaining conservation laws and its applications
5) Applying variational methods of boundary value problems
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | ||
| Learning Outcomes | ||||||||
| 1 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 2 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 3 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 4 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 5 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Selected Topics in Partial Differential Equations, Lineer Operators
Course Contents
Candidates are provided with in-depth knowledge on reaching the results of interest in geometry and differential equations, the existence and uniqueness of solutions to boundary-value problems, the inverse problem, and Morse theory, "passive use" of functional analysis (in particular normed vector spaces) to place certain results in con- context, techniques and applications of the calculus of variations, numerous examples mostly from physics, topics such as Hamilton's Principle, eigenvalue approximations, conservation laws, and nonholonomic constraints in mechanics.
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Language of Instruction
Turkish
Work Placement(s)
Not Required