Transform Techniques for Engineers

ABOUT THE COURSE: The aim of the course is to teach various transform techniques that are essential for a student of physical sciences and engineering. They include, Fourier series, Fourier transforms, Laplace transform and Z-transforms.PREREQUISITES: Calculus

Week 1: Introduction to Fourier seriesWeek 2:Finding Fourier series of a periodic functionWeek 3:Fourier transforms over real lineWeek 4:Fourier transform and its propertiesWeek 5:Fourier transform and its applicationsWeek 6:Preliminaries on complex variable techniquesWeek 7:Introduction to Laplace transformWeek 8:Laplace transform and its propertiesWeek 9:Laplace transform and its propertiesWeek 10:Laplace transform and its applicationsWeek 11:Laplace transform and its applications to PDEsWeek 12:Z-transforms and its properties and applications