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FIZ 321E
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Course Information
Course Name
Turkish
Fizikte Matematiksel Yöntemler I
English
Mathematical Mthds in Physc I
Course Code
FIZ 321E
Credit
Lecture
(hour/week)
Recitation
(hour/week)
Laboratory
(hour/week)
Semester
5
4
3
2
-
Course Language
English
Course Coordinator
Hakkı Tunçay Özer
Course Objectives
1.To introduce Complex numbers and functions ; to define singularities , to study the Cauchy theorem and Taylor-Laurent series;
2.Compute definite integrals using residue method.
3.To solve second order homogenous linear ordinary differential equations with variable coefficients using the Forbenius method;
4.To find solutions of special functions like Bessel and Legendre functions.
Course Description
Complex numbers. Basic operations with complex functions, analytic functions. Cauchy theorem.
Singularities. Taylor and Laurent series. Residue theorem and applications. Complex functions.Second
order differential equations: introduction. Singularities and series solutions. Frobenius method. Special
.
functions: cylindrical and spherical coordinates.. Sturm-Liouville problem. Bessel, Neumann, Modified
Bessel functions. Legendre polynomials. associated Legendre functions. spherical harmonics. Fourier-
Legendre series. Asymptotic behaviors of certain special functions.
Course Outcomes
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