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FIZ 503E
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Course Information
Course Name
Turkish
Fizikte Matematiksel Yöntemler
English
Mathematical Methods in Phy
Course Code
FIZ 503E
Credit
Lecture
(hour/week)
Recitation
(hour/week)
Laboratory
(hour/week)
Semester
1
3
3


Course Language
English
Course Coordinator
Fatma Gülay Acar
Course Objectives
1.to provide the students with the ability to manipulate abstract vector spaces
2. to teach the basics and applications to physics of complex analysis
Course Description
Linear vector spaces, metric spaces, hermetic operators, eigenvalue and eigenvectors, invariant
subspaces, quadratic forms. Functions spaces, orthogonal polynomials, Fourier analysis:
Continuous function spaces. Linear forms and generalized functions. Analytic functions,
conformal mapping, multi valued functions, branch cuts, residues. Saddle point approximation
Taylor and Laurent series. Special functions
Course Outcomes
Ph.D. students who successfully pass this course gain knowledge, skills and competency in the following
subjects;
1.to use abstract vector spaces. They will know various kind s of convergence in function spaces
2.to solve inhomogeneous helmotz equation and poisson equation using generalized functions
3. to solve Laplace equation using conformal mapping
4.to determine the behavior of Taylor and Laurent series in complex plane
5.calculate green functions using residus theorems. To make saddle point approximation.
6.to solve homogeneous and inhomgeneous wave equations using Bessel function an associated Green functions
Prerequisite(s)
None
Required Facilities
IN SOME HW STUDENTS ARE REQUIRED TO CARRY OUT NUMERICAL
APPLICATION ON COMPUTERS
Other
Textbook
“Mathematical Methods For Physicists”, G. B. Arfken, H. J Weber, F. E. Herris, Elsevier, Seventh Edition.
Other References
“Mathematical Physics :A Modern Introduction To Its Fundations”, S. Hassani, Springer, Second Edition.
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