Prerequisites: Foundation course (No Prerequisites).

Course Objectives: To learn  differentiation and integration of complex valued functions , evaluation of integrals using Cauchy’s integral formula, Laurent’s series expansion of complex functions ,evaluation of integrals using Residue theorem , express a periodic function by Fourier series and a non-periodic function by Fourier transform , to analyze the displacements of one dimensional wave and distribution of one dimensional heat equation.

Course Outcomes: After learning the contents of this paper the student must be able to  analyze the complex functions with reference to their analyticity, integration using Cauchy’s integral theorem , find the Taylor’s and Laurent’s series expansion of complex functions , the bilinear transformation , express any periodic function in term of sines and cosines , express a non-periodic function as integral representation , analyze one dimensional wave and heat equation

TEXT BOOKS:

1. A first course in complex analysis with applications by Dennis G. Zill and Patrick Shanahan, Johns and Bartlett Publishers.
2. Higher Engineering Mathematics by Dr. B. S. Grewal, Khanna Publishers.
3. Advanced engineering Mathematics with MATLAB by Dean G. Duffy

REFERENCES:

1. Fundamentals of Complex Analysis by Saff, E. B. and A. D. Snider, Pearson.
2. Advanced Engineering Mathematics by Louis C. Barrett, McGraw Hill.

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