Band Pass Filter

The RLC band pass filter below takes a sinusoidal input signal $V_S$ and produces an output signal $V_{out}$ . At applied angular frequency $\omega$ , what are the filter gain and phase shift, respectively?

Details and Assumptions:
1) $R = 0.1$
2) $L = 1$
3) $C = 1$
4) $\omega = 1$
5) The gain is the magnitude of $V_{out}$ divided by the magnitude of $V_S$
6) The phase shift is the angular separation between $V_{out}$ and $V_S$

Bonus: Plot the magnitude and phase responses as functions of angular frequency