To create a unit step function, triangle function, rectangle function, and saw function in MATLAB, users can utilize loops or concatenate vectors for the unit step and rectangle functions. The triangle function can be generated either as a standalone function or through the convolution of two rectangle functions. The saw-tooth function is constructed by repeating a finite linear segment. For calculating the Fourier series and transforms, MATLAB's built-in FFT function simplifies the process; users can apply it with the command A = FFT(B). If input vectors are not powers of two, additional functions are available in the help file. For those with the signal processing toolbox, functions like "sawtooth" and "square" can be used to generate waveforms, while "zeros" and "ones" can assist in custom implementations.