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MAT 501E
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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
-
3
3
-
-
Course Language
English
Course Coordinator
Semra Ahmetolan
Course Objectives
• To learn and solve the linear systems
• To understand the stability of the linear systems
• To learn the fundamental Existence and Uniqueness theorem
• To learn the local theory of dynamical systems
Course Description
Linear Systems, Stability Thoery, The Fundamental Existence and Uniqueness Theorem,
Local
Course Outcomes
• Linear systems, exponential of operators, complex eigenvalues
• The Fundamental existence-uniqueness theorem
• Local theory of Dynamical systems
• The stable manifold theorem
• The Hartman-Grobman theorem
• Stability and Liapunov functions
• Gradient and Hamiltonian systems
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