Course Information

Course Name	Turkish	Pertürbasyon Yöntemleri
	English	Perturbation Methods
Course Code	MAT 626E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	2	3	3	-	-
Course Language		English
Course Coordinator		Ali Demirci
Course Objectives		1 To introduce parameter perturbations, asymptotic sequences, asymptotic expansions and asymptotic approximation concepts. 2 To introduce regular and singular parameter perturbation problems. 3 To introduce some basic singular perturbation methods and investigate certain problems in applied mathematics by these methods.
Course Description		Parameter perturbations. Order symbol, gauge functions, asymptotic sequences and asymptotic expansions.Asymptotic approximations of integrals.Regular and singular perturbation problems. Singular perturbation methods; matched asymptotic expansions, boundary layers, composite expansions, the method of strained coordinates, the method of multiple scales, the method of averaging, the WKBJ method. Aplications in initial and boundary value problems for ordinary and partial differential equations.
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