Exercise 4.4 An NPN amplifier and its PNP equivalent

Given are the amplifier circuit schematics below.

pict

a)
Derive a SSEC for the amplifier circuit in figure (a).
b)
Derive a (parametric) equation for the input impedance rin of the amplifier circuit in figure (a). You may assume that the coupling capacitors have a negligibly small impedance at the signal frequency.
c)
Derive a equation for the voltage gain of the amplifier circuit in figure (a).
d)
Derive a SSEC for the amplifier circuit in figure (b).
e)
Derive an equation for the input impedance rin of the amplifier circuit in figure (b).
f)
Derive a equation for the voltage gain of the amplifier circuit in figure (b).