1. Introduction Most of the phenomena studied in the domain of Engineering and Science are periodic in nature. For instance, current and voltage in an alternating current circuit. These periodic functions could be analyzed into their constituent components (fundamentals and harmonics) by a process called Fourier analysis. A Fourier series is an expansion of a periodic function into a sum of trigonometric functions. The Fourier series is an example of a trigonometric series, but not all trigonometric series are Fourier series. Fourier series is used to describe a periodic signal in terms of cosine and sine waves. In other words, it allows us to model any arbitrary periodic signal with a combination of sines and cosines.      Fig: Sine Wave       Fig: Triangular Wave    Fig: Sawtooth Wave      Fig: Square Wave   2. The common form of the Fourier series Sinusoidal functions are periodic over 2π angular distance. For a perio...