This course aims to provide 3rd and 4th year student with mathematical tool to handle advanced problems in modern theoretical physics.
Monday 11:00-13:00, Room 1
Wednesday 11:00-13:00, Room 1
- Introductory Complex Analysis: Complex numbers. The complex plane.(2 weeks)
- Complex functions: Complex functions. Branch points. Multivalued functions. Continuity and the derivative of complex functions. Cauchy-Riemann conditions.(2.5 weeks)
- Analytic Functions: Analytic functions and applications.(2 weeks)
Cauchy's theorem and integration. Derivatives of analytic functions. Taylor and Laurent series.Classification of singular points. (2.5 weeks)
- Applications of Residues: Calculation of definite integrals. (2.5 weeks)
Calculation of generalized integrals. (2 weeks)
