This topic motivates the need for using mathematical analysis in this course on sensor network and data analysis course,         emphasising that relying on pre-existing software solution is limited in developing and verifying solutions to new problems. The Topic then highlights the fairly straightforward mathematical pre-requisites. The Topic continues to then provide some simple examples of manipulating the polar form of complex numbers or complex phasors, which are fundamental to developing the complex Fourier series and complex Fourier transform later in the course.