Akademik Veri Yönetim Sistemi
| 1 | Good and fairly good functions. | |
| 2 | Generalized functions (Dirac Delta function, Heaviside function). | |
| 3 | Theory of generalized functions. | |
| 4 | Fourier transform of generalized functions. | |
| 5 | Fourier transform of generalized functions. | |
| 6 | Theory of special functions: Gamma function and its properties. | |
| 7 | Beta function and its properties. | |
| 8 | Bessel's equation, Bessel's function. | |
| 9 | ODE's and PDE's that can be reduced to Bessel's equation | |
| 10 | Hypergeometric functions and their properties | |
| 11 | Relations between hypergeometric functions and other special functions | |
| 12 | Adjoint operators, generalized Green's identity | |
| 13 | The method of Green's functions. | |
| 14 | Sturm-Liouville problems, eigenfunction expansions. | |
| 15 | Applications of Green functions | |
| 16 | Review of the semester |