ddYou have a couple dumps indicating an issue with memory corruption and a couple others indicating memory management issues.
Please start by uninstalling AVG. Uninstall normally and follow that up with the
vendor specific proprietary removal tool. Grab the right one for your architecture (32 or 64 bit). Replace with
http://windows.microsoft.com/en-US/windows/products/security-essentials If Blue Screens persist
Open and elevated command prompt and type
chkdsk C: /R
hit enter
answer yes "Y" to the prompt and reboot.
Let it run all five stages and see if that produces any information.
Also
Download Memtest86+
from this location here. Burn the ISO to a CD and boot the computer from the CD.
Ideally let it run for at least 7 passes / 6-8 hours. If errors appear before that you can stop that particular test. Any time Memtest86+ reports errors, it can be either bad RAM or a bad Mobo slot. Test RAM sticks individually. When you find a good one then test it in all slots. Post back with the results.
See
this Guide to using Memtest 86+ Additionally
Please read the first post in this sticky thread here
How to ask for help with a BSOD problem Do your best to accumulate the data required.
Run the SF Diagnostic tool (download and
right click the executable and choose run as administrator)
Download and run CPUz. Use the Windows snipping tool to gather images from
all tabs
including all slots populated with memory under the SPD tab. Likewise RAMMon.
Export the html report, put everything into a desktop folder that you've created for this purpose, zip it up and attach it to your next post (right click it and choose send to, compressed (zipped) folder.
Good luck
Randy
