By Alexis Tereszcuk - Radar Senior Reporter
Rumer Willis is trying to maintain a sense of normalcy after her mother's scary ordeal last week.
The 23-year-old aspiring actress was spotted running errands on Monday just one week after a frantic 9-1-1 call was made from her mom Demi Moore's home saying that she had "smoked something" and was "having convulsions."
Demi, 49, was rushed to the hospital and is going to seek treatment for her anorexia among other issues, but she has not beeen spotted since her hospital stay.
Rumer, who was at home with her mom when she went into convulsions, was seen visiting her at the hospital last week and then attending Hollywood parties this past Sunday night.