If, on the off chance blue screens continue after following brkkab123's advice:
Run
Chkdsk /f /r to check for and repair any disk errors if present.
Make sure your system is fully updated
including SP1.
(Do both the above anyway).
Consider replacing Avira with MSE until your problems are resolved.
Avira is known to be a cause of BSOD's on some Windows 7 systems.
Uninstall Avira through the Control Panel. Then run the
Avira RegistryCleaner to clean up any remaining registry entries. Download BSOD friendly
Microsoft Security Essentials as its replacement. Make sure Windows firewall is enabled!
Then:
Use the
Intel® Driver Update Utility (in Internet Explorer gives me the best results). Update any and all drivers available.
Be aware that there have been several updates to your bios
(latest 22-04-2011) since your version
(19-11-2009). With bios, although not the horror story it was a few years back it's always best to err on the side of caution.
Desktop Board DH55TC Bios. (Blimey,! Even I've managed it a few times
).
Check for updates to your
Huawei Mobile Connect modem or check with the carrier that supplied the modem.
Finally if blue screens continue please attach you latest dump files and we'll move on from there.
HTH.