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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
Other References
 
 
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