A person who can take a problem, design, implement and create a solution to it, while at the same time fully researching the problems many factors and tasks needed to solve the problem, and again, at the same time, breaking the problem down into a manageable number of sections in able to fully maximize his temporal effiency, while making sure he stays on schedule and possibly keeping many other people on schedule, as well as someone who will interface with whoever needed the problem solved, and interface with everyone else.

This devinition is far too broad. No one person can properly undertake all of these tasks in all but the most trivial of exercises. What this definition does is to take the process of developing a computer application, and personify it. Lets look at it step by step:

A person who can take a problem, design, . . . a solution to it

This is an analyst (or business analyst). An important first step. Often this involves developing a business case first (why should we do this?), then the requirements analysis (what should we do?), followed by the design (how shall we do it?).

implement and create a solution to it

Ahhh. . . here is the programmer.

while at the same time fully researching the problems many factors and tasks needed to solve the problem,

A combination of the analyst(s), architects, programmers, data modellers, and project manager. It is very helpful to have some business area experts involved as well.

at the same time, breaking the problem down into a manageable number of sections in able to fully maximize his temporal effiency, while making sure he stays on schedule and possibly keeping many other people on schedule, as well as someone who will interface with whoever needed the problem solved, and interface with everyone else

This is the project manager.

As you can see, there are quite a few different skill sets involved in the process of developing systems. That is not to say someone who is a programmer cannot be an analyst or a project manager. It is just very difficult (some would say impossible) to fill all roles properly on all but a trivial project.