Applied Functional Analysis

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

Not Required

Course Contents

Candidates are provided with in-depth knowledge on fundamentals of set sheory, linear operators, continuity of linear operators, boundedness of linear operators, inverse of linear operators, norms of linear operators, conjugate of linear operators, conjugate operators, self-adjoint operators, symmetric operators, normal operators, isometric operators, initary operators, the idea of eigenvalues and eigenfunctions, compact operators, bounded and closed operators, the idea of resolvent and spectrum for operators, the best approximation theorem, spectral properties of compact operators, Sturm-Liovile type problems, Green functions, linear integral equations, functional analysis methods for linear equations with compact operators.

Weekly Schedule

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Recommended or Required Reading

Planned Learning Activities and Teaching Methods

1) Lecture
2) Question-Answer
3) Drill and Practice
4) Self Study

Assessment Methods and Criteria

Contribution of Semester Studies to Course Grade	60%
Number Percentage Semester Studies Midterm Examination 1 60% Quiz 1 40%
Contribution of Final Examination to Course Grade	40%
Total	100%

Language of Instruction

Turkish

Work Placement(s)

Not Required