The opening round match will take place May 12th with a 4 p.m. dual at the Brownlee O. Currey Jr. Tennis Center.
SIUE earned the automatic bid after winning its second straight Ohio Valley Conference Tournament Title. The Cougars finished the regular season and the league championships with a perfect 21-0 dual match record and a 9-0 record in conference play. Both marks are program bests at the Division I level.
Vanderbilt, 17-5, is the Southeastern Conference champion and the No. 4 seed nationally.
Aranda holds a 19-6 singles record, including a 17-2 mark in No. 1 singles matches. Frogner has a 20-7 singles record, including a 16-3 mark in No. 2 singles matches.
"They have been fantastic," said Mueller. "We would not be 21-0 without the two of them. They have left an impression on this program."
Mueller said Aranda and Frogner have made an impression on the younger players on the roster.
"They have showed the younger players how to carry themselves day in and day out with preparation," he said. "On match day, they have stepped up."
For the second straight season, SIUE will appear in the NCAA Tournament opening round against Vanderbilt.
"Vanderbilt is a terrific host school," said Mueller. "It's a great environment and really good facilities. They are one of the top teams in the country. It's a very special moment that should be enjoyed. We're looking forward to the trip."