1.  Use time-based methods (i.e., differential equation representations) to confirm the input-output voltage relationships given for the ideal op-amp integrator and differentiator shown in figure 1 of the lab.

2. Use sinusoidal steady-state analysis to show the phasor input-output voltage relationship is H(jω) = V_o/V_in = -jωRC for the ideal differentiator and H(jω) = V_o/V_in= -1/(jωRC) for the ideal integrator.

3. Figure 2 of the lab shows a practical implementation of a differentiator.  Derive the transfer function H(jω) = V_o/V_in for this circuit. For what frequencies does the circuit act as a differentiator? What effective operation is performed by the circuit at high frequencies?

4. Figure 3 of the lab shows a practical implementation of an integrator. Derive the transfer function H(jω)=V_o/V_in for this circuit.  For what frequencies does this circuit act as an integrator? How does the circuit respond to low frequencies?