The first funerals were held Saturday for students who were killed in this week's mass shooting at Michigan State University.

Mourners in the Detroit suburb of Grosse Pointe Farms filed into St. Paul on the Lake Catholic Church to remember 20-year-old sophomore Brian Fraser, who was one of three students killed in Monday's attack.

At the same time, a funeral was held for 20-year-old junior Alexandria Verner at the Guardian Angels Catholic Church in Clawson, a suburb a few miles to the northwest.

They were among eight students who were shot in the attack at two buildings on the Michigan State campus in East Lansing, including five who were wounded but survived.

A memorial service was scheduled for later Saturday for the third student killed, 19-year-old junior Arielle Anderson, whose funeral is set for next week.

Police say Anthony McRae, a 43-year-old man with no connection to the school, walked into Berkey Hall where evening classes were being held and opened fire in a classroom.

He then walked to the nearby MSU Student Union and fired more shots before fleeing.

After the attack, he walked a few miles toward his Lansing home. He said nothing before he killed himself after being confronted by police, authorities said.

Detectives found two handguns, ammunition, and a note containing a possible motive for the attack.

Police said it appeared from the note that McRae felt he had been slighted in some way by people or businesses, adding that he had no connection to the victims or the school.