Take the new memory out. See if problem goes away.

Do you have Zone Alarm installed?

Can we assume you had 512 and added 512 or did you buy 1 gig of new RAM? (1 x 1gig stick or 2 x 512gig matched pair sticks?)

If one stick is it in slot zero?

After trying Zep's suggestion try removing the old and inserting the new if both were in there together. What happened in each instance?

I bought 2 sticks which equals 1 gig. I'm just scared to death to remove them. I shook like a leaf just inserting them, because I was so worried about being shocked. I was told to remove the 2 old sticks and insert the new ones in the same slots. But I'll go ahead and take a deep breath and try it again.

Linda, be cool and things will be just fine. You will not get a shock, the computer is at risk from you and static electricity. Everything inside the case except the fans and hard drive are less than 3.5 volts. Fans and hard drives are 12 volt.

Remove the power cord from the back of the case before attempting anything inside. Then always rest your bare hand or arm on the metal frame of the computer case to dissipate any static electricity that may be present.

The advice to remove both old sticks and insert both new ones is absolutely correct. Just make sure the small slot in the bottom of each stick of RAM is centred over the proper spot on the motherboard and listen for the click as each end clamp pops up to hold the RAM in place as you push down to seat them. You should not have to push the clamps in, they will pop in once the Ram is fully seated.

This should make it real easy. A picture is worth a thousand words (video is even better)

Here is a link that might be useful: Replacing desktop RAM

What about Zone Alarm is it installed?

That is an odd Stop error, 0x000000xe Wonder if it could be Dell specific. It does not show on Microsoft as far as I can see and that's odd usually when you Google the stop error you get a microsoft link...

I might right click your hard drive and select properties .... What size is the drive and how much free space do you have ?

When you added the ram it increased the size of the swap file.

I would like to thank everyone for helping me. I did make a call to Dell and they walked me through checking my memory. Everything checks out fine. They found no problems. So far the blue screen did not come up last night. Maybe everything is ok for now.
Thank you again for everything.
Linda from PA

I'm moving this to the top with another question. I removed the 2 memory sticks and added the old ones back in. So far the blue screen did not come up. My question is if I reinsert the new memory sticks, do I have to do something with the BIOS? Do I have to set this somehow to accept the added memory? My computer is running a little slower with the old memory sticks. Thanks

No nothing to do in BIOS.

Wait a bit longer to see if the blue screen appears again just to make sure, Then reinsert the new ram again and see if the blue screen comes back, if it does you have most likely isolated the problem to ram and it's probably bad, the best way to trouble shoot is to only put 1 of the new sticks in at a time and run it that way to see if blue screen comes back in an attempt to isolate the issue to 1 stick.

Where did you purchase ram?

I purchased them through Dell. The blue screen never came up until I inserted the new ram. I thought maybe I had to do something with the new sticks to be sure my computer can handle the extra memory. I called Dell to order them and they said my computer is capable of the extra memory.
I haven't downloaded anything new.

I am thinking the ram you bought is bad, happens all the time.

As Zep notes, place 1 stick of the new RAM in alone. Look closely on the motherboard and you will see these are listed as either 0 and 1 or less likely 1 and 2, place it in the lower numbered slot. Run for a day or two then swap to the other stick and see if it causes issues.

Ideally it might pay to contact Dell as long as you are not paying for tech calls and ask for replacements.

Did you do as Mikie suggested earlier to see how much free space was on your hard drive? That can be very important.