Course Information

Course Name	Turkish	Diferansiyel Denklemlerin Lie Grubu Analizine Giriş
	English	Intro.to the Lie Gr. An. of D.E.
Course Code	MAT 616E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	-	3	-	-	-
Course Language		English
Course Coordinator		Cihangir Özemir
Course Objectives		1. To introduce Lie theory of differential equations, 2. To introduce the necessary basic concepts of one parameter Lie groups of transformations and Lie algebras, 3. To show how group transformations are used to construct solutions and how to find group transformations leaving second order ordinary differential equations invariant, 4. To introduce the connection between conservation laws and the invariance of differential equations under Lie groups of transformations, 5. The concept of Lie groups of transformations is to generalize further to include nonlocal symmetries of differential equations.
Course Description		Lie theory of differential equations, one parameter transformation groups, integration of second order ordinary differential equations, group classification of second order ordinary differential equations, invariant solutions, generalizations, Lie-Backlund transformation groups, Noether type conservation theorems, nonlocal symmetry generators via Backlund transformations.
Course Outcomes
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