Mathematical Methods In Physics

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

Not Required

Course Contents

Linear vector spaces.metric spaces.linear operators,eigenvalues and eigen functions.invariant subspaces,hermitian matrices and quadratic forms,orthogonal polinomials and Fourier analysis.continuous function spaces, expansion in terms of orthogonal functions,Hilbert space,classical othogonal functions,generalized functions,Theories ıf analytical functions,Cauchy-Riemann condition.exponential expansions,Cauchy theorem,Laurent's series.ordinary and isolated singular points of analytic functions.multi-variable functions and Riemann surfaces,ordinary differential equations,solution of komplex valued second order differential equations.Fuchian equtions.

Weekly Schedule

1) Linear vector spaces, metric spaces
2) Linear operators,egienvalues and eigenfunctions
3) Function spaces
4) Fourier analysis,continuous functions spaces
5) Hilbert space,classical orthogonal functions,generalized functions
6) Hilbert space,classical orthogonal functions,generalized functions
7) Linear operators on infinite dimensional spaces
8) Midterm examination/Assessment
9) Theory of analytic functions
10) Cauchy-Rieman Condition, exponential series expansion
11) Cauchy theorem, Laurent series, zero and isolated singular points of analytical fuctions
12) Riemanian surfaces
13) Ordinary differential equations
14) Solution of second order complex differential equation
15) Fuchian equations
16) Final examination

Recommended or Required Reading

1- Mühendislik ve Fizikte Matematik Metodlar,Coşkun Önem,Birsen Yayınevi
2- M. L. Boas, Mathematical Methods in Physical Sciences, John Wiley & Sons (1983).
3- Mathematical Methods for Physicists George B. Arfken, Hans J. Weber,Academic Press (1994).

Planned Learning Activities and Teaching Methods

1) Lecture
2) Discussion
3) Demonstration
4) Group Study
5) Problem Solving

Assessment Methods and Criteria

Contribution of Midterm Examination to Course Grade	40%
Contribution of Final Examination to Course Grade	60%
Total	100%

Language of Instruction

Turkish

Work Placement(s)

Not Required