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		Neşe Özdemir
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		1. Properties of complex numbers and functions are shown. Series expansions are done. 2.Definite integrals are taken using the residue theorem, examples exhibiting different cases are introduced 3.Second order differential equations with variable coefficients are solved using infinite series expansions around regular points. Recursion relations are found. Solutions are classified. Second solutions are obtained when roots of the indicial equation differ by an integer and not. 4.Sturm-Liouville type equations are studied and how can one make an equation self adjoint is shown 5.Bessel type solutions as Bessel, Neumann and spherical Bessel solutions are found. 6.Legendre and second type Legendre functions and other special functions are found.
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