Course Code: GYMAT301

Course Name: MATHEMATICS FOR ELECTRICAL SCIENCE AND PHYSICAL SCIENCE – 3

Prerequisites: Basic knowledge incomplex numbers.

Course Objectives:
1. To introduce the concept and applications of Fourier transforms in various engineering fields.
2. To introduce the basic theory of functions of a complex variable, including residue integration and conformal transformation, and their applications

CO1: Determine the Fourier transforms of functions and apply them to solve problems arising in engineering.

CO2: Understand the analyticity of complex functions and apply it in conformal mapping.

CO3: Compute complex integrals using Cauchy’s integral theorem and Cauchy’s integral formula

CO4: Understand the series expansion of complex function about a singularity and apply residue theorem to compute real integrals.