How Are the Fourier Series, Fourier Transform, DTFT, DFT, FFT, LT and ZT Related?

This course explains the relationship between the Fourier Series, Fourier Transform, Discrete Time Fourier Transform (DTFT), Discrete Fourier Transform (DFT), Fast Fourier Transform (FFT), Laplace Transform (LT), and Z-Transform (ZT). The learning outcomes include understanding how these concepts are related and their applications in signal processing. The course teaches skills such as analyzing periodic signals, working with discrete time signals, and interpreting frequency domain representations. The teaching method involves theoretical explanations and visual aids. The intended audience for this course includes students and professionals in the fields of engineering, mathematics, and signal processing.