rodeo,
I think I understand,
You want to devise a series of experiments to:
Calculate the open-loop gain of an op-amp.
Construct a simple inverting amplifier with a gain of 2, use the old 741 op-amp for this.
Connect an amplifier with a gain of about 1000, to the invertin input of the 741, you'll probably need a better quality op-amp (open loop gain > million), I can't think of anything at the moment but I'm sure someone else here will, I'll have a look at my data sheets when I have the time. You should now be able to see the output on an oscillosope. You can now calculate the open loop gain as you know the input and output voltage.
Demonstrate stability and compensation.
A bit more trickey, I don't know how well the off the shelf op-amps oscilate when given complete negative feedback or whether they oscilate at a low enough frequency to pickup with fairly cheap equiptment.
To do this you need to build a multistage (3 stages might be enough) inverting amplifier with an open loop gain of 100 or so at a low frequency say 1KHz. Build a filter in to each stage that it will have a 60o phase shift at a much higher frequency say 100KHz and a unity gain at at bit higher frequency say 110kHz but no little at 1kHz.
Now when the amplifier is open loop it will behave normally and be quite stable, and will have a phase shift of 180o as it's inverting. If you increase the frequency the phase shift will go down and at 100kHz it will have a phase shift of 0o and become non-inverting also the gain will be near unity. If you now introduce negative feedback to try and make a unity inverter it will oscillate at 100kHz.
You can demonstrate that adding a capacitor in the feedback loop to reduce the gain to unity at a lower frequency of say 50kHz then the amplifier will become stable and no longer oscillate since it is now compensated.