Question: Of the University of Dayton and the University of Detroit Mercy, which was founded first?

Context paragraphs:
University of Detroit Mercy School of Dentistry: The University of Detroit Mercy School of Dentistry is the dental school of the University of Detroit Mercy.  It is located in the city of Detroit, Michigan, United States.  It is one of two dental schools in the state of Michigan.

Detroit Titans men's basketball: The Detroit Mercy Titans men's basketball team is the college basketball team that represents the University of Detroit Mercy in Detroit, Michigan, and competes in NCAA Division I men's basketball as a member of the Horizon League.  Traditionally, the Titans have been a fairly strong "mid-major" program, advancing to the Sweet Sixteen in 1977 and to the Round of 32 twice during the 1990s.

Detroit Titans football: The Detroit Titans were the college football team representing what was then known as the University of Detroit (now the University of Detroit Mercy) from 1896 to 1964.  In 1928, the Detroit Titans won a College Football National Championship under Gus Dorais, with a record of 9–0–0.

University of Detroit Mercy School of Law: The University of Detroit Mercy School of Law is the law school of the University of Detroit Mercy and is located in Downtown Detroit, Michigan across from the Renaissance Center.  Founded in 1912, Detroit Mercy Law is a private Roman Catholic law school and has been ABA-accredited since 1933.  The Law School has an annual enrollment of about 536 students and currently has 88 faculty members (28 full-time, 60 adjunct).

Bacari Alexander: Bacari Torrell Alexander (born September 15, 1976) is an American college basketball coach, currently the men's basketball head coach at Detroit Mercy.  He is a former assistant coach at Michigan, Western Michigan, Ohio, and Detroit Mercy.  At Michigan, Alexander was responsible for coaching the team's post players, developing defensive strategies, scouting opponents and on-court coaching.  In six seasons as an assistant coach under Michigan head coach John Beilein, Michigan advanced to the NCAA Tournament each year, won Big Ten Conference regular season championships in 2012 and 2014 and appeared in the Elite 8 in 2014 and the National Championship in 2013.

University of Dayton: The University of Dayton (UD) is an American private Roman Catholic national research university in Ohio's sixth-largest city, Dayton.  Founded in 1850 by the Society of Mary (Marianists), it is one of three Marianist universities in the nation and the second-largest private university in Ohio.  The university's campus is located in the city's southern portion and spans 388 acres on both sides of the Great Miami River.  The campus is noted for the Immaculate Conception Chapel and the University of Dayton Arena.  The University also operates, in China's Suzhou Industrial Park, the University of Dayton China Institute.

University of Detroit Mercy: University of Detroit Mercy ("Detroit Mercy") is a private, Roman Catholic co-educational university in Detroit, Michigan, United States, sponsored by both the Society of Jesus (the Jesuits) and the Religious Sisters of Mercy.  Antoine M. Garibaldi, Ph.D., is the president.  Founded in 1877, it is the largest Roman Catholic university in Michigan.  It has three campuses, where it offers more than a hundred academic degrees and programs of study in liberal arts, clinical psychology, business, dentistry, education, law, engineering, architecture, nursing and allied health professions.

Detroit Titans: The Detroit Mercy Titans are the athletic teams of the University of Detroit Mercy (UDM).  The university is a member of the National Collegiate Athletic Association (NCAA) Division I.  The school primarily competes in the Horizon League, but competes in the Metro Atlantic Athletic Conference for men's lacrosse and the Atlantic Sun Conference for women's lacrosse.

2016–17 Detroit Titans men's basketball team: The 2016–17 Detroit Titans men's basketball team, also known as Detroit Mercy, represented the University of Detroit Mercy during the 2016–17 NCAA Division I men's basketball season.  The Titans, led by first-year head coach Bacari Alexander, played their home games at Calihan Hall as members of the Horizon League.  They finished the season 8–23, 6–12 in Horizon League play to finish in seventh place.  As the No. 7 seed in the Horizon League Tournament, they lost Milwaukee in the First Round.

Vijay P. Parashar: Vijay P. Parashar, BDS, MDS, DDS, is an oral and maxillofacial radiologist working as faculty at Midwestern University in Glendale, Arizona.  Prior to joining Midwestern University as Associate Professor, Parashar was the Assistant Professor of Biomedical and Diagnostic Sciences at University of Detroit Mercy in Detroit, Michigan.  Parashar won the 2006 Howard R. Raper and 2012 William H Rollins Oral and Maxillofacial Radiology Awards given by American Academy of Oral and Maxillofacial Radiology.  Parashar received Doctor of Dental Surgery (DDS) from the University of Detroit Mercy School of Dentistry, Master of Dental Science from the University of Connecticut School of Dental Medicine, Certification in Oral and Maxillofacial Radiology from the University of Connecticut School of Dental Medicine and Bachelor of Dental Surgery from Manipal College of Dental Sciences, Manipal.  Parashar is on the scientific editorial board of peer-reviewed journals such as "Journal of Oral Health and Community", "India Dentistry", "International Journal of Oral Implantology and Clinical Research, India", and "American Journal of Esthetic Dentistry", USA.  Parashar's positions with ADEA include,:

Supporting paragraphs: University of Dayton University of Detroit Mercy
Answer: University of Dayton