Student will be able to,
ILO1: Evaluate contour integrals by use of Cauchy's Integral theorems.
ILO2: Represent complex functions in Taylor and Laurent Series and identify domains of convergence.
ILO3: Classify singularities of a complex function.
ILO4: Evaluate real integrals using residue calculus and apply these methods in finding integral transforms such as Inverse Laplace, Fourier and Hilbert transforms.
ILO5: Apply the Argument Principle and Roche's theorem to locate roots of polynomial equations.
ILO6: To construct simple conformal mappings and apply conformal mapping to solve problems from engineering.