I have created a tutorial on the series RLC circuit. It uses interactive flash programs with embedded audio. It is located here:
It consists of three parts:
Program 1: The transient response of the series rlc circuit. It includes user interaction plus all the math behind deriving the specific transient response with initial conditions is included
Program 2: The steady state response of the rlc circuit. See how to interpret the transfer function. Do you know how to interpret the transfer function when it has complex numbers in it? You can learn by seeing how negative frequency must be considered. Furthermore, you will see not only the magnitude response of the steady state response, but also the phase response! All math explained
Program3: See how the impulse response is derived. Use the interactive controls to make different rlc circuits and see the impulse response. Next use convolution to put in various input waveforms to see the output response of the rlc circuit. You will see how convolution actually works. The math involved in deriving the impulse response is explained.