Allrounder Simi Singh, who made his ODI debut earlier this season, and legspinner Jacob Mulder have been chosen as the spin-bowling pair ahead of George Dockrell and Andy McBrine.
Paul Stirling (calf), Niall O'Brien (shoulder) and Craig Young (elbow) are all unavailable due to injury. However, Boyd Rankin and Kevin O'Brien return after missing the previous Intercontinental Cup match against Afghanistan.
Tector, 20, has been in consistent form this season and scored a century for Ireland Wolves against Scotland A last month while Smith claimed a five-wicket haul against MCC Young Cricketers last week.
"I'm obviously delighted to be included in the squad," said Tector. "It has been a dream of mine for a long time so it's massively exciting. I've been happy with how the season has gone so far. The winter was brilliant with the Shapoorji Pallonji Academy and it's nice to see that paying off. I'd like to thank everyone who has helped me along the way, particularly my club YMCA who have been so supportive."
Smith said: "I'm absolutely delighted with the call. It's great to be a part of this exciting time in Irish cricket and I'm looking forward to the challenge."
Ireland squad William Porterfield (captain), John Anderson, Andrew Balbirnie, Peter Chase, Ed Joyce, Barry McCarthy, Jacob Mulder, Tim Murtagh, Kevin O'Brien, Boyd Rankin, Simi Singh, Nathan Smith, Jack Tector, Gary Wilson.