Dr. Deepak Kumar Porwal


B.Sc.(H) Mathematics, Sem - VI(Complex Analysis)








Lecture Notes


Cauchy Gaursat Theorem

Cauchy Int. Formula

Ext. of Cauchy Int. formula 

Some consequences Ext. C.I.F 

Cauchy's Inequality and Some Consequences, Series 

Sec.  57-59 Taylor series

Laurent Series Exp. 

Sol. of Some Ex. on Taylor Series and Laurent Series

Absolute and Uniform Convergence 

Uniqueness of Series Representation

Isolated Singularity, Residue and Related Exercises 

Cuachy Residue Theorem 

Residue at Infinity 

Types of Isolated Singularity 

Residue at pole

Applications of Residues



SEC I: Basic IT Tools


















B.Sc.(H) Mathematics, Sem -III








B.Sc.(H) Mathematics, Sem - V

























































































































































































































































































B.Sc.(H) Mathematics, Sem - VI



Cauchy Gaursat Theorem

Cauchy Int. Formula

Ext. of Cauchy Int. formula 

Some consequences Ext. C.I.F 

Complex Analysis Lecture Notes 

Sec.  57-59 Taylor series

Sec. 63 

Sec. 64-66

Isolated Singularity, Residue and Related Exercises 

Cuachy Residue Theorem 

Practical-3

Practical-7