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MAT 626E
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Course Information
Course Name
Turkish
Perturbasyon Yöntemleri
English
Perturbation Methods
Course Code
MAT 626E
Credit
Lecture
(hour/week)
Recitation
(hour/week)
Laboratory
(hour/week)
Semester
-
3
3
-
-
Course Language
English
Course Coordinator
Samet Yücel Kadıoğlu
Course Objectives
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
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
Course Outcomes
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
Pre-requisite(s)
Calculus I,II, ODE, PDE
Required Facilities
Other
Textbook
Introduction to Perturbation Methods, M.H. Holmes
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