James, I completely understand this question, and the first thing I want to say is kudos to you for keeping track of what you were taught, and trying to analyze your dives.
It isn't possible.
What your computer basically does, is run the calculations that determine the tables, on a continuous basis, using the data from your actual dive. The way the tables are constructed is to make them useful for what we call square profile dives. Those are the dives where you jump off the dive boat and go down to the wreck and stay there for a given amount of time, and then come up. You use maximum depth to determine your no-deco limits, and then go on to all the calculations you were taught in class.
But real life dives rarely look like that, unless you live somewhere where the diving is off charter boats and onto wrecks. If you shore dive, you're going to start shallow, work gradually deeper, and then reverse the profile. If you dive off charter boats onto native structure, you're going to do a descent onto some kind of topography, which may or may not fit a square profile chart.
Your computer tracks where you've been, and what the nitrogen loading at that depth for that time is, according to the model it uses. As with most computers, it has far more capacity to perform iterative mathematics than you do. Therefore, it can offer you a great deal more flexibility in your profile than the tables do. The problem is that, if you follow your computer, you can't log the dives in any sensible way in your book. Worse, you probably can't assess what the computer is telling you, to know whether it's functioning properly or not. It's VERY frustrating.
What I would recommend, at an early stage of diving, is to find out what you can about the dive you are about to do -- In other words, find out what the maximum proposed depth is, and what the contour is. Look at the tables and see what they say about that maximum depth; if the contour is roughly square, your computer should come close to what the tables say. If the profile is very different (eg. a quick descent to max depth, and then a fairly linear ascent along the topograhy) you may be given a great deal more bottom time, but you should understand WHY.
BTW, I asked this same question the year I learned to dive:
http://www.scubaboard.com/forums/basic-scuba-discussions/115693-dive-planning-terrain-diving.html