Maryland's lacrosse team grabbed more faceoffs, outshot and outscored Towson State, 14-10, yesterday at Byrd Stadium, likely earning an NCAA berth in the process.

"I would think this puts us in the tournament," said Maryland Coach Dino Mattessich, who is retiring at the end of this year. "Three of our four losses were to the top three teams." Maryland has won eight.

The first half was most remarkable for its roughness, particularly midway through the second period when it looked more like an NHL war than a lacrosse game. Maryland jumped in front, 2-0, on goals by Mike Hart (after being slashed by Tiger goalie Gavin Moag) and Joe Monaco on a one-on-one move and bounce shot.

A downfield rush by John Conley and Scott Scraton's shot off a feed from Tom Bruno tied the score at the end of the first period. Maryland senior attackman Mike Hubbard then took charge, feeding Hart for one goal and then whipping a shot over Moag's right shoulder.

Once the roughness began, Towson picked up two extra-man goals to Maryland's one before Tim Worstell's point-blank goal made Maryland's margin 6-4 with 5:38 left.

In the third period, Conley's extra-man goal cut the Terrapins' lead to 7-6, but Maryland immediately retaliated with goals by Jay Harkey and Chris O'Brien.

The Terrapins blew the game open in the period's final two minutes, making it 12-7 on scores by Jim Wilkerson (29 goals), Worstell (22) and Hubbard (15) . . .

Earlier, the Maryland women's team fell victim to Delaware's powerful offense in an NCAA quarterfinal, 11-8.

Delaware (16-2) got its offense untracked in the second half, scoring the first five goals to take a 10-6 lead with 7:52 remaining. Karen Emas, the nation's leading scoring with 91 goals, scored three for the 1982 Division II Champions, who are in their first Division I season.

"It was another ballgame in the second half," Maryland Coach Sue Tyler said. " . . . This is tougher than losing the final because we had everything planned for next week . . ."

In Baltimore, Chuck Muir scored five goals and assisted on one as Baltimore University ended its intercollegiate athletic program after 57 years with a 14-12 lacrosse victory over Washington and Lee, dooming the Generals to their first losing season in 14 years.

Baltimore, which will give up athletics next season, ended the season 5-6, while W&L wound up 5-7--its first losing record since a 1-8 mark in 1969 . . .

Also in Baltimore, Paul French scored six goals and Mike Caravana set a school record with 10 assists as second-ranked Virginia beat Loyola, 24-13.