| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Dynamical Systems | MAT505 | Elective | Master's degree | 1 | Spring | 8 |
Name of Lecturer(s)
Prof. Dr. Ali DEMİR
Prof. Dr. Serdal PAMUK
Learning Outcomes of the Course Unit
1) Gain necessary background in Dynamical Systems for advanced studies.
2) Analyze the stability of systems.
3) Get the basic knowledge of system of linear equations for advanced studies.
4) Obtain periodic solutions of systems.
5) Explain bifurcation theory.
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
no recommended course
Course Contents
Residues and poles, Residue theorem, Evaluation of improper real integrals and basic theorems, Jordan’s lemma, Improper integrals involving sines and cosines, Definite integrals involving sines and cosines, Integration through a branch cut, Cauchy principal value, Inverse Laplace transforms, Logarithmic residues, Argument principle, Rouche’s theorem, Hurwitz’s theorem, Univalent functions and invers function theorem, Conformal mapping and basic theorems, Riemann mapping theorem, Linear fractional transformations, Schwarz-Christoffel transformation, Analytic continuation and entire analytic function, Principle of reflection, Riemann surfaces.
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Contribution of Presentation/Seminar to Course Grade |
40% |
|---|---|
Contribution of Final Examination to Course Grade |
60% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required