Family members confirm that Margo Husby-Scheelar, who was 64, died in hospital last Wednesday from H1N1, also known as swine flu.
Husby-Scheelar, who was in the university's department of communication and culture, had been in intensive care for about a month.
Her death is believed to be the first related to the virus in the city since the pandemic erupted in 2009.
There have been 15 reported cases of H1N1 in the Calgary area since the current flu season began in September.
The pandemic occurred when an outbreak in Mexico spread across North America, prompting widespread inoculations.