Rensselaer Polytechnic Institute. Houston Field House, Troy. 10/17, 7 PM: the R.P.I. hockey team will host the University of Connecticut. 3/1. 276-2187.

Saratoga National Bank Cross Country Classic will hold its second annual 5K cross country race at the Saratoga Spa State Park, Saratoga Springs on 10/19. The race begins at 10 AM. Register before 10/10. $15. After 10/10, $20. Kids Classic 1K will take place at 11 AM, cost is $5. Call 583-3114.

Singles Outreach will hold friendly tennis matches for singles every Sunday at 11:30 AM at Tri-Cities Fitness Center, Latham. Admission is $8. 452-6883.