ECE 280/Summer 2018/Final

This is a list of the topics to be covered on the final exam for ECE 280 in the Summer, 2017 semester.

Coverage

1. Everything from Test I and Test II
2. Laplace Transforms
   • Understand that a Bilateral Laplace Transform is incomplete without its accompanying ROC or some statement that makes it possible to determine the correct ROC (i.e. "a causal signal..." or "a stable signal..."); the ROC for a Unilateral Laplace Transform is everything to the right of the right-most pole (if there is one) or the whole plane.
   • Be able to determine Laplace and Inverse Laplace Transforms using the tables; for Inverses this also means being able to do partial fraction expansion, including for repeated roots.
   • Know how to identify when a MOAT will be useful and how to get the coefficients for it. Note: if I give you a problem with a MOAT, there will be no other roots involved.
   • Understand how the ROC relates to system stability and causality as well as signal sidedness.
   • Be able to determine a differential equation from a Laplace Transform-based transfer function and vice versa.
   • Be able to solve a differential equation with potentially non-zero initial conditions and potentially non-constant forcing functions.
   • Be able to set up equations for a circuit using Unilateral Laplace Transform-based impedances and source representations (and solve if relatively simple).

Specifically Not on the Test

1. Maple
2. MATLAB
3. Items in lab that never appeared in homework

Equation Sheet

You will get the full equation sheet with the exam.