The useless answer is easy: it's doing memory dumps because it's crashing.
Why is it crashing? With the right technical tools and know-how, you can probably isolate exactly which component/driver is causing the blue screen.
As a guess, it's the video card, either a hardware or driver issue, or in concert. Try updating the driver. Try switching between the video card and the onboard video (pull the video card).
I found 4 drivers that needed updating including the motherboard and video card. I can't believe that the computer store would waste 4 days of their time with out checking these. I will see how it works now for a few days.
One other thing to check. If the computer doesn't have a temperature monitor, install SpeedFan and keep an eye on the CPU and GPU temps. Overheating hardware can also lead to these types of BSODs.