Course Information

Course Name	Turkish	Diferansiyel Denklemler I
	English	Differential Equations I
Course Code	MAT 501E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	1	3	3	-	-
Course Language		English
Course Coordinator		İlkay Bakırtaş Akar
Course Objectives		1. Lineer diferansiyel denklem sisteminin çözümünü öğrenme 2. Lineer denklem sisteminin stabilitiesini anlama 3. Temel varlık ve teklik teoremleri öğrenme 4. Dinamik sistemlerin lokal teoresini öğrenme
Course Description		Linear Systems, Stability Thoery, The Fundamental Existence and Uniqueness Theorem, Local Theory of Dynamical Systems, The Stable Manifold Theorem, The Hartman-Grobman Theorem
Course Outcomes		I. Linear systems, exponential of operators, complex eigenvalues II. The Fundamental existence-uniqueness theorem III. Local theory of Dynamical systems IV . The stable manifold theorem V. The Hartman-Grobman theorem VI. Stability and Liapunov functions VII.Gradient and Hamiltonian systems
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