Mathematics for Telecommunications

The course is divided into two parts. The first part is the differential equations and the second the complex analysis. Μore details: Part I - Differential Equations -Ordinary differential equations: definitions, examples -Differential equations of first order: integrating factors, applications -Linear differential equations of order n, with constant coefficients -Systems of linear differential equations -Applications -Partial differential equations with separated variables Part II - Complex Analysis -Complex numbers and their representation -Applications to electric circuits -Functions of complex variables -The theorem of Cauchy -Cauchy's formula -Singularities -Poles -Residua -Integration around branching points -Applications -Conformal mapping

Objectives

-

Prerequisites

-

Syllabus

Part I - Differential Equations -Ordinary differential equations: definitions, examples -Differential equations of first order: integrating factors, applications -Linear differential equations of order n, with constant coefficients -Systems of linear differential equations -Applications -Partial differential equations with separated variables Part II - Complex Analysis -Complex numbers and their representation -Applications to electric circuits -Functions of complex variables -The theorem of Cauchy -Cauchy's formula -Singularities -Poles -Residua -Integration around branching points -Applications -Conformal mapping