1Examine, describe, and solve membrane models underlying bioelectrical function and physiology. This includes but is not limited to ion-channel dynamics, membrane filtering, sub-threshold signaling, action-potential generation and propagation, chemical signaling, and basic neural circuit dynamics.

2Formulate and appreciate the intricate similarities between silicon circuits and biological circuits. Specifically, by interfacing the two in simple recording and stimulation experiments. Furthermore, this objective will also introduce the students to instrumentation techniques to map currents and voltages from cells.

3Solidify basic quantitative techniques in solving bioelectrical dynamics. This includes but is not limited to the use of ODE's and PDE's in solving signal propagation, Hodgkin-Huxley dynamics, and neural circuit dynamics. Overall, this will provide a sound theoretical framework to begin exploring electrophysiological devices with biomedical engineering applications.