ELECTRICAL AND ELECTRONICS ENGINEERING (ENGLISH) PROGRAMME COURSE DESCRIPTION
Name of the Course Unit	Code	Year	Semester	In-Class Hours (T+P)	Credit	ECTS Credit
COMPLEX ANALYSIS	MAT303	3	5	3+0	3.0	5.0

Objectives and Contents
Objectives of the Course Unit	Understand the significance of differentiability for complex functions and be familiar with the Cauchy-Riemann equations;  Evaluate integrals along a path in the complex plane and understand the statement of Cauchy's Theorem;  Compute the Taylor and Laurent expansions of simple functions, determining the nature of the singularities and calculating residues;  Use the Cauchy Residue Theorem to evaluate integrals and sum series
Contents of the Course Unit	The course unit unit aims to introduce the basic ideas of complex analysis, with particular emphasis on Cauchy's Theorem a nd the calculus of residues
Contribution of the Course Intending to Provide the Professional Education	Compute the Taylor and Laurent expansions of simple functions, determining the nature of the singularities and calculating residues;  Use the Cauchy Residue Theorem to evaluate integrals and sum series