Week 6: Introduction of Calculus of Residues
Complex Variables by M.R.Spiegel, Schaum’s Outline Series, McGraw Hill, New York.
Chapter 7
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Course Material
- Week 1: Basic Review of complex variables
- Week 2: Complex Differentiation
- Week 3: Complex Integration
- Week 4: complex integration
- Week 5: Series and sequence in complex variables
- Week 6: Introduction of Calculus of Residues
- Week 7: Calculus of Residues (Integrals type)
- Week 8: Method of Steepest Descents. (Analytic landscape, Saddle point method) and some examples
- Week 9: The Gamma function (Definition and its properties) i.e. Infinite limit, Definite integral, Infinite product, Factorial notation. Digamma and Poly-gamma Functions
- Week 10: Beta functions and its mathematical notations
- Week 11: Incomplete beta functions, Stirling’s Series
- Week 12: Eigen Functions and Orthogonal Functions, Strum-Liouville Theory
- Week 13: Green's Functions
- Week 14: Bessel Functions
- Week 15: , Neumann Functions, Hankel Functions
- Week 16: Modified Bessel Functions, Spherical Bessel Functions.
- Chapters 16
- Department Physics
- Teacher
Mr. Muhammad Qasim
